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00:00 | Welcome back. Today is February two . And it's our 6th lecture where |
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00:14 | are noted on the syllabus to talk the actual potential. And last lecture |
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00:20 | just began talking about the neuronal number a trust. So we'll see how |
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00:25 | lecture goes. If we cover the membrane potential and then move into neuronal |
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00:31 | potential or if we'll begin the action on the uh subsequent week. |
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00:43 | so this is from last lecture that discussed and here we discussed the patellar |
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00:56 | or knee jerk or stretch reflex. talked about it as one of the |
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01:01 | basic reflexes and I asked you to the different components of the circuit. |
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01:08 | the dorsal root ganglion cells that are for the sensor information and are a |
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01:15 | , their morphology, the neurotransmitters to uh the inhibitor into neurons of the |
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01:22 | cord. Their morphology neurotransmitters, their and the motor neurons that innovate the |
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01:31 | that cause in this case skeletal muscle . Okay, so all those three |
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01:38 | subtypes will be on the exam as questions. So, if you didn't |
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01:44 | good notes last week, it's uh should review the lecture as I mentioned |
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01:53 | I, what I write on the doesn't always show up very well on |
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01:59 | video. So it is best to notes in class and from the board |
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02:08 | preparing yourselves for the upcoming test, is in about two weeks or |
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02:15 | Okay, so today we're moving into about the resting membrane potential. Oh |
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02:22 | the resting membrane potential happens because we an equal separation of charge across plasma |
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02:32 | . And we have a quiz environment the south and outside of the south |
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02:40 | is oxygen has extra electrons and has charge, hydrogen has net positive |
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02:51 | They both held by cavalry in bonds other polar molecules. In this case |
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02:56 | talking about ions. They will dissolve water and atoms or molecules that have |
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03:03 | net electrical charge or ions. As know, they form ionic bonds. |
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03:09 | 70 plus is an ion chloride minus an ion and they form ionic |
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03:15 | The difference in the number of protons electrons results in the valence C. |
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03:23 | charged for that particular ion. So a plus one is a mono valent |
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03:32 | calcium two plus is a dive ailing . You have cat ions. Cat |
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03:40 | will carry the positive charge and and will carry the negative charge on the |
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03:48 | . And so all of the molecules you're seeing here will be floating around |
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03:52 | the sacred solution and then you have chloride uh surrounded here by water molecules |
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04:00 | lot of times, we're referring to as clouds of hydration of waters of |
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04:05 | surrounding these individual, ironically bond molecules individual ions. So, as we |
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04:14 | from the very beginning, plasma membrane of the possible effect by later and |
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04:20 | possible olympic bilateral is not permeable to ions. So for ions to cross |
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04:28 | from inside to outside from outside to of the south, you need ionic |
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04:35 | . So these are receptor channels that embedded in the plasma membrane. And |
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04:43 | receptor ionic channels we will be discussing the next couple of hours are ion |
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04:52 | camels. So you will have a for sodium, potassium chloride and |
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05:02 | And these are the four major ionic that we will be discussing. So |
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05:08 | abundance of sodium chloride on the outside the south. It's a saline like |
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05:14 | . And what this figure shows is there is 100 and 45. This |
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05:21 | an mila moller of sodium on the of the cell and about 18 million |
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05:28 | of sodium on the inside of the , there's a lot of chloride under |
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05:34 | or so million moller on the outside only about seven million moller of chloride |
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05:40 | the inside of the South. potassium is dominating on the inside of |
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05:47 | South has 135 million moller inside in intracellular cytoplasmic delusion and It has only |
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05:58 | uh it has only 3.5 or so . Miller on the outside for potassium |
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06:05 | for calcium if you look at the concentration gradient, the highest disparity in |
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06:12 | concentration gradient and the separation of it is for calcium, there is 1.2 |
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06:22 | moller of calcium on the outside of cells. And there is 0.1 micro |
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06:32 | . So millie 10 to the negative micro is 10 to the negative |
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06:39 | So this is the highest disparity in concentration gradient chemical gradient for calcium and |
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06:47 | other important component in the plasma membrane neurons and important and uh regulating and |
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06:58 | a lot of times acted action potential o wrestling member potential, R N |
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07:04 | K A T P A C S A K pumps. And those pumps |
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07:10 | always be working against concentration gradient. if there is a lot of sodium |
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07:15 | the outside against concentration gradient will be put more sodium on the outside And |
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07:21 | concentration gradient would be to put more on the inside of the south and |
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07:27 | do that. They utilize a lot 80 p energy to do that. |
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07:35 | these protein channels that we will be are built from the basic blocks which |
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07:44 | amino assets and as you know, is a variety of amino assets. |
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07:50 | are those that are essential amino assets that are amino assets that you have |
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07:58 | obtain from the outside world. So have to rely on the food |
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08:05 | The dietary intake of the essential amino . But what the amino acids will |
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08:13 | is they will form peptide bonds and will form these peptide chains of amino |
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08:21 | . And so these peptide chains of acids is the primary structure the protein |
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08:29 | essentially will become the trans membrane protein . This primary structure of immuno assets |
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08:41 | twist itself into a helix. It's alpha helix and this is an example |
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08:49 | a secondary structure coiling of the polyp into an alpha helix. There are |
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08:58 | secondary structures of these uh secondary structures the proteins that are not always |
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09:08 | that can also be sheeted so sort of like sheets and they're often |
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09:13 | products, beta sheets, the tertiary would be several of these alpha hell |
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09:21 | coming together quite often. Each one these is a trans membrane segment and |
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09:28 | of these tertiary uh protein components will a sub unit and finally you will |
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09:40 | multiple sub units forming a receptor or ion channel in this case and they |
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09:50 | be receptor ion channels that have to a signal chemical signal. And their |
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09:57 | channels that we'll be discussing in the couple of lectures that are gated by |
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10:02 | . So there are different ways in you can open the channel in the |
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10:07 | and we will be talking about resting potential and action potential, specifically about |
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10:13 | channels that are gated by voltage. means that it's the voltage. The |
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10:17 | of voltage across plasma membrane that is to either cause the opening of the |
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10:24 | of these channels. So ion channels selective iron channels will not allow indiscriminately |
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10:40 | all of the ions inside or the just pass through the channel there have |
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10:48 | specific structure. And you can view channels as being capable of sieving through |
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10:56 | select. So there's a selectivity to for specific ion and it also depends |
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11:04 | the structure and the chemical interactions were that island with the internal structure of |
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11:09 | channel. Some of the channels are fast. And for example uh single |
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11:21 | receptor channel can conduct 100 million ions second. So some of the channels |
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11:30 | conduct ions whether the receptor channels of gated channels and conduct hundreds of thousands |
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11:37 | hundreds of millions of ions per This is in contrast to the pumps |
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11:43 | I've discussed that use A T. . The A. T. |
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11:46 | A. That worked against the concentration . There are much slower and exchange |
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11:53 | the charge between inside and the outside the cell. Exchange of the ion |
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11:57 | and potassium only about 100 or so a second. So channels are selective |
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12:05 | filters And in this example what you're at is the sodium specific or sodium |
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12:13 | ion channel. And here is the molecule in red and that sodium molecule |
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12:20 | enveloped with water and the sodium molecule in and enters into the innermost lumen |
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12:29 | this channel here where it progressively gets off the water surrounding that ion and |
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12:38 | briefly interacts with the negatively charged residue has a sodium binding site. And |
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12:48 | very brief interaction here on the road microseconds. Then also allows for this |
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12:56 | by electrostatic and diffusion all forces of sodium now from the outside to come |
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13:03 | the inside of the cell. and this is the case for many |
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13:09 | ions. So potassium will be surrounded waters and potassium will also interact with |
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13:19 | negatively charged amino acid residue but a different location, slightly different residue that |
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13:26 | more suitable war interactions with the potassium , calcium selective channels will also have |
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13:35 | uh selectivity chloride channels. It's an ion that's negatively charged. So there |
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13:42 | would have a positively charged amino acid inside the inner channel lumen that would |
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13:49 | and have this interaction with the chloride charged ion. So in this |
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13:56 | sodium is stripped off the waters by acid residues and enters inside with larger |
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14:03 | potassium is trapped and sent back So size is important too. And |
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14:11 | this case we're talking about larger So that means does that mean that |
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14:16 | smaller diameter ions can go through the that pass larger diameter ions. And |
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14:22 | answer is no, they're selective and of an ion does not necessarily mean |
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14:29 | size of the waters of hydration. ions can have uh bigger attractive forces |
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14:37 | building these larger clouds of water around . So, it has to do |
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14:41 | several factors with the size selectivity interaction amino acid residue for this channel to |
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14:51 | selected and specifically selected for sodium or over calcium. Okay, so today |
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15:01 | will be discussing some of the things will require for us to remind ourselves |
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15:06 | some of the basics of physics and particular arms law which we all learned |
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15:14 | high school. The equals IR V for voltage I for current. And |
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15:24 | for resistance voltage typically is measured involves and am cares resistance and alls now |
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15:35 | is the inverse of resistance. So is the conductance as one over r |
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15:40 | universal resistance are and that is measured Seamans. What are some of the |
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15:47 | scales for neurons, neurons? The that we're gonna be talking about across |
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15:52 | membrane and the voltage that is generated action potential firing is measured in milli |
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16:00 | . So we will not be talking volts, we'll be talking about volt |
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16:05 | , measuring milli volts of activity for . The relevant scales for neurons for |
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16:12 | in a single cell or current. uh uh that you're recording from a |
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16:21 | is in PICO amperes and nano Resistance of neurons is in mega |
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16:33 | So they have very high resistance from of mega homes to hundreds of mega |
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16:39 | conductance is in PICO Seaman's or nano . Alright, so these are just |
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16:48 | put in the perspective the relative the scales by which neurons operate at and |
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16:57 | voltage, the current resistance. So the scale that one again, like |
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17:06 | like so they have, I believe was also, it's not necessarily that |
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17:19 | low but these are the relative the scales that you are looking at neurons |
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17:32 | amperes, it's million pairs nano amperes even sometimes a million pairs at the |
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17:41 | level and more of like at the cell level. But uh yeah and |
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17:50 | conductance and tens to hundreds of mega , the 1000 mega is 1000 tens |
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18:04 | hundreds of thousands of homes. So uh ionic movement across plasma membrane, |
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18:13 | there is no channels, there's no movement. If we were just to |
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18:17 | at it simply based on the concentration or the diffusion forces. If you |
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18:24 | a lot of sodium here and a of chloride then this sodium and the |
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18:30 | ions would slow down their concentration gradients there's going to be equal concentration or |
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18:40 | moller concentration of sodium on both and chloride on both sides. Inside |
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18:47 | the outside and the inside of the . The way you look at |
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18:50 | But that's not the case. That's what happens. Because apart from chemical |
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18:58 | , we also have electrical interactions between between ions. And so we know |
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19:06 | cat ions are attracted to cat So positively charged ion is attracted to |
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19:14 | negative end of this, in this of the battery and an ion is |
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19:19 | to anna and you have an electrical . So apart from the chemical |
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19:28 | you have electrical potential, you have which is a minority of miller volts |
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19:33 | plasma membrane and this voltage will be the channels and opening and closing the |
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19:39 | . Therefore driving ions through channels and current from inside to outside and outside |
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19:47 | inside of the sound. So again have the separation of charge with the |
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19:53 | of the plasma membrane is negatively 100 among the 65 million balls compared |
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20:01 | the outside of the south separation of across the membrane. So the separation |
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20:08 | charge is what gives rise to this in electrical potential, which is our |
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20:15 | membrane potential inside versus outside At the , it's about -65 loan laws. |
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20:24 | you are thinking about current flow and conventional understanding of current flow, direction |
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20:31 | net movement of positive charge. So ions move opposite because they're negatively charged |
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20:37 | direction. Cantons move same as current . The neurons are hyper polarized at |
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20:47 | million volts the inside and loss or in that charge separation. So neurons |
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20:53 | more positive on the inside, it's polarization, an increase in the charge |
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20:59 | . The inside of the neurons accumulating and more negative charge, it's hyper |
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21:05 | . So, these are some of basic concepts that we should all be |
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21:11 | with. And because we have both , we have the chemical gradient and |
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21:19 | gradient ions have equilibrium potential and equilibrium is a potential where diffusion elite forces |
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21:32 | are chemical gradient forces and electrical forces is the charge and interaction of the |
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21:40 | positive and negative and so on where of these forces are equal to each |
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21:46 | and actually opposing in direction. So happens is you have potassium ions |
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21:54 | A lot of potassium ions on the of the south and you have a |
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22:00 | charged program that doesn't have a channel across through plasma membrane. So this |
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22:08 | , if you introduce the channel will down its concentration gradient, will flow |
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22:15 | its concentration gradient. And you will , well if it was only chemical |
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22:19 | then there's going to be equal amounts potassium on both sides. Except that |
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22:23 | happens is as this potassium which is lot of potassium and it's illustrated here |
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22:29 | this very large K Plus letter over very small K plus letter here, |
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22:36 | K plus large amount of potassium will down outside of the cell from the |
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22:42 | until there's gonna be enough of the charge that's accumulated on the outside of |
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22:47 | South. I guess what happens, positive charge, which is potassium itself |
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22:55 | repellents to potassium which is positively So at that point, what happens |
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23:03 | that point is you have the chemical . One thing to drive more potassium |
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23:10 | this side into this side, but electrical charge saying I'm repelling you, |
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23:16 | electrical forces are repelling you and at point they basically become equal enforced to |
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23:24 | other. These two arrows, not concentrations, but the two forces become |
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23:31 | to each other. And at that there's no net ionic movement of |
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23:36 | It either inside or outside of the , it doesn't mean that there's no |
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23:40 | of potassium, but for each potassium in one there's gonna be one going |
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23:45 | to and to out, it's going be staying at this equilibrium potential. |
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23:52 | the other thing to note is if look at the neuronal plasma membranes, |
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23:57 | charge separation and the build up of and this unequal distribution of ions is |
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24:03 | and the charge is concentrated at the of the plasma membrane. The internal |
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24:10 | . The inside of the cell is neutral. And so is the external |
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24:16 | surrounding that cell as well. So and on the concentration changes can actually |
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24:24 | pretty significant voltage fluctuations as these items the plasma membrane. It will affect |
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24:31 | membrane potential and it will affect activity neurons. Net ionic differences at the |
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24:41 | . There's a concept of a driving that will be starting to learn about |
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24:48 | . And we'll come back and we'll learning about it again. Next election |
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24:52 | we talk about action potential. And actually be explaining a lot about action |
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24:57 | based on the driving force concept. driving forces VM stands for membrane potential |
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25:05 | the cell and e ion stands for potential for an island and the difference |
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25:15 | the potential of the number of the and this other value for each ion |
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25:21 | determine the size of the driving Hang on to this thought if the |
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25:27 | concentrations are known, we can calculate ionic. So let's let's calculate this |
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25:33 | on because we already kind of said if we have the volt meter and |
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25:39 | drop an electrode in we know the at rest minus 65 syllables. |
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25:47 | And we also said that this VM actually a consequence of an equal distribution |
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25:56 | multiple ionic species, not just So, the charge on the membrane |
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26:02 | doesn't reflect just changes in sodium or , it reflects changes sodium potassium |
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26:08 | calcium all for ionic species. so now we know dM -65 address |
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26:23 | we don't know the equilibrium potentials for other. So let's calculate the equilibrium |
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26:31 | . So we can understand how it affect the driving forms. Now, |
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26:37 | I illustrated earlier with the potassium going inside to outside and reaching the equilibrium |
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26:44 | . It's also the case for It's also the case for chloride. |
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26:50 | also the case for calcium. Each of the ions in other words have |
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26:55 | own equilibrium potential which is dependent on concentration gradient. In this case there's |
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27:01 | lot of sodium on the outside of south and also the electrical potential. |
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27:07 | changes that the flux of this ion going to build up on the inside |
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27:11 | the south. So each one of ions will have their own equilibrium potentials |
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27:17 | this case the movement of the outside will get counteracted with the charge positively |
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27:24 | build up here, repelling more of positive charge coming in in the previous |
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27:29 | was positive charge leaving. So the is not as important, but it's |
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27:36 | where you have a lot of what on, the concentration of which I |
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27:41 | . So we already discussed the fact you have a lot of sodium on |
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27:46 | outside and a lot of chloride on outside. And so this actually table |
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27:51 | all of this information together. You 100 $50 million. And you'll |
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27:57 | well wait a second, this has million But this is $150 million. |
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28:03 | even your book will give you several values, several different measurements and Malamala |
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28:10 | across the books. Between the there might be slight differences In some |
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28:16 | . The resting membrane potential will be as -17 million -65 and others |
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28:23 | Why is that? Because there's actually variations. We talked about individual subtypes |
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28:29 | cells expressing different subsets of molecules and functionally distinct and different and part of |
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28:36 | substance of molecules that are different that express these ionic channels that we're talking |
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28:43 | . So now it is slight discrepancies I will tell you what you have |
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28:49 | know for the test because I have diagram for you prepared and an action |
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28:53 | that has all of the values that want you to know. That I |
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28:57 | ask you on the task. It's gonna be a trick questions of minus |
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29:01 | 45 1 48 1 51 52. . So I'll tell you the point |
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29:07 | here that there is 10 times more sodium on the outside versus the |
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29:12 | So you can look at it as pure mormon moller uh number measurement or |
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29:20 | can look at it as the So there's 10 times more sodium on |
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29:26 | outside versus inside, there's 20 times potassium on the inside versus outside. |
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29:33 | 11.5 times more chloride on the outside inside. And this is why I |
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29:40 | that calcium has the highest Chemical right? It has 10,000 times more |
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29:52 | on the outside versus the inside. , this is this is a this |
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29:57 | a this is addressed and in general ionic concentrations are not gonna fluctuate that |
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30:06 | . They're gonna get constantly rebuilt to uh but we will talk about the |
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30:14 | is how the conductance has changed during action potential. And in general what's |
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30:19 | in for us and I'm kind of you asked them is when we talk |
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30:24 | driving forces, you realize that driving for potassium flocks that rest is very |
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30:31 | but potassium dominates. And the cells rest are using potassium slowly from inside |
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30:39 | the cells to outside of the And these are leak channels and these |
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30:44 | channels contribute a lot to the most the most permeable channels in the plasma |
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30:50 | during resting membrane potential. So maybe question will get answered a little bit |
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30:56 | over the next hour. Hopes if , please come back to it because |
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31:03 | ion has its own concentration inside versus . Each ion has its own equilibrium |
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31:11 | value. Okay. And how do derive the equilibrium potential values? And |
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31:17 | is just an illustration that you have T. P. Tom and the |
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31:22 | that a T. P pump for three ions, it brings outside sodium |
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31:27 | that brings two ions on the inside the cell, bias towards keeping more |
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31:33 | on the extra cellular side here. to calculate equilibrium potentials for each |
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31:40 | we use the lens equation and nursed is he, which is ion which |
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31:48 | equilibrium potential for each ion. And ion has its own calculation for the |
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31:54 | of potential. And the important uh and variables. And this calculation is |
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32:06 | which is gas constant T. Which absolute temperature. And in this case |
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32:12 | temperature is the physiological body temperature. we're using 37 C mhm Z. |
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32:24 | the charge of the ion. So minus one, calcium two plus sodium |
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32:34 | F. Is Faraday's constant log is on logarithms. Ion outside is ionic |
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32:46 | on the outside of the neuron and inside is ionic concentration on the inside |
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32:54 | the neuron. Remember that we had in the molar concentrations and we also |
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33:00 | these in ratios. So in the you can plug in either or values |
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33:06 | the ratio values it will it won't matter. So the noticed equation can |
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33:13 | derived from the basic principles of physical . Let's see if we can make |
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33:17 | sensitive. Remember that equilibrium is the of two influences diffusion which pushes an |
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33:25 | balance concentration gradients, chemical and electricity causes an island to be attracted to |
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33:30 | charges and repelled by the life increasing the thermal energy of each |
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33:36 | increases diffusion and will therefore increase the difference city achieve the equilibrium. |
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33:43 | E ion is proportional to T On the other hand increasing the electrical |
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33:48 | of each particle will decrease the potential needed to Dallas diffusion. Therefore, |
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33:55 | E ion is inversely proportional to the . Value. We need not to |
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34:02 | about the R. F. Because are the constant values for the gas |
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34:07 | third a pounce and this is a degrees that we're calculating this. So |
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34:14 | take this calculation that was the formula . R. T. D. |
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34:21 | . Log ion outside versus inside and can actually plug in in this case |
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34:27 | potassium plus one, 37° are after and we can collapse this 2.303. |
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34:37 | up into 61.54. Then you have . The value here is a million |
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34:48 | times the log off. In this , potassium on the outside versus inside |
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34:54 | same abbreviation and collapse here. Or or chloride. This carries a |
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35:05 | Okay, because this is a minus in the Z value. So you'll |
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35:09 | minus and for calcium it's a positive it's 30.77 because you're dividing it by |
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35:18 | , calcium two plus. Mhm. what you derive then is these abbreviations |
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35:27 | you do the calculation in this you plug in the ratios there is |
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35:32 | more of potassium on the inside concentration on the outside of the cell we |
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35:38 | the log of 1/20 negative 1.3. you multiply 61.454, abbreviation for |
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35:48 | K. Times negative 1.3. And is the equilibrium potential for potassium minus |
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35:55 | million balls. Note that there is government earth equation for permeability of ionic |
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36:03 | . Okay. Therefore calculating the value e ionic equilibrium potential does not require |
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36:11 | of the selectivity or the permeability of membrane for the ion. So we |
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36:15 | need to know all of these values and the concentration outside on the inside |
|
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36:21 | order to derive the equilibrium potentials for ions. And so this table contains |
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36:27 | potential for potassium. This is for . The value is positive 62 million |
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36:35 | for calcium positive 123 melon balls. for chloride approximately minus 65 million |
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36:42 | So each one of the ions when plug in their respective abbreviations here, |
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36:49 | collapse of this portion of the formula their concentrations you obtain the calculations for |
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36:58 | ion. So each ion has its equilibrium potential. But this is not |
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37:04 | in Patan tra. This is a equilibrium for one high on and the |
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37:12 | potential has several players around the membrane are eager to cross in and out |
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37:18 | the channels that can influence overall potential the plasma membrane. Therefore, after |
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37:24 | calculate learns equation you also have to the membrane potential and what this shows |
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37:31 | that to calculate the DM. Which for the membrane potential, you still |
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37:38 | the same artie's er log outside versus . So this portion is taken from |
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37:47 | nurse equation, this same abbreviation uh . In this case we're looking at |
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37:57 | and sodium. Okay, Mill evolves but in this case it's not equilibrium |
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38:04 | for one ion but it's VM. now you're incorporating the concentration of potassium |
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38:11 | versus inside plus the concentration of sodium the outside versus inside. And not |
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38:18 | that you're also introducing permeability term. is not P. K. |
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38:25 | like an analytical chemistry or neuro This is p for permeability for potassium |
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38:34 | for sodium value. That also indicates if the concentrations and this maybe gets |
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38:43 | your question earlier that you asked how ionic concentrations change. You can see |
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38:48 | if the concentration stay the same but change the permeability, you can greatly |
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38:56 | the change in the number of the . So the there is a dynamic |
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39:02 | of these shifts of ions on the of the outside but they're pretty tightly |
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39:08 | and controlled not to shift outside of boundaries if you shift potassium on the |
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39:15 | from 3.5 to 12, minimal or start generating seizure activity in the |
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39:22 | But you can change the number of a lot by changing the premier ability |
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39:28 | ions permeability is what whether that I as flossing for the channel or |
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39:35 | So the channels are all open for and all sodium is flux in the |
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39:41 | is dominant for sodium and you will that it draws the number and potential |
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39:48 | the sodium values and sodium equilibrium And if the permeability values the highest |
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39:55 | , it will draw the membrane potential to the potassium equilibrium potential values. |
|
|
40:02 | therefore you can see here that if run through this calculation again, this |
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40:07 | permeability in this case at rest, is P value here. P. |
|
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40:13 | . Is the highest for potassium. 40 tons higher for potassium sodium. |
|
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40:20 | just the way neurons are built to these leaky channels and these leaky channels |
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40:25 | using potassium outside and the potential is negative on the inside of the plasma |
|
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40:32 | . And so you plug in the permeability. You go back to |
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40:37 | in the ratios of the concentration island versus inside and you now can calculate |
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40:46 | overall BM number and potential value which minus 65. And it's neither equilibrium |
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40:55 | value for sodium which is positive Nor is the equilibrium potential value for |
|
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41:05 | which is -80. But because it , it's dominated from the ability by |
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41:12 | that the value of wrestling number of of -65. When you take into |
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41:17 | these two ions. Right. do you know, Having a very |
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41:22 | plus 62 potassium -80. The resting of potential is at -65. So |
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41:30 | dominated by the permeability to potassium. the action potential gets generated is gonna |
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41:37 | into positive values. And that's because ratio uh concentration may stay the same |
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41:46 | the ions more or less. There be small flocks is but the permeability |
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41:52 | going to be dominated by sodium during action potential, especially during the rising |
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42:00 | of the action potential. Yeah. again, we'll come back and talk |
|
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42:08 | this throughout the lecture. But this concludes our resting number in potential lecture |
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|
42:18 | going to start talking about the action . And we will start talking about |
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42:24 | of the things we already discussed I'll put them in the perspective in |
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42:28 | the equilibrium potentials. The uh action , wrestling number in potential values and |
|
|
42:36 | . Okay, so let's jump into next lecture. We're learning a lot |
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42:43 | good stuff. Just uh situate yourself law. Uh audience channels, selectivity |
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42:53 | the channels, pumps which are slower. You have equilibrium potential. |
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43:02 | have driving force that will discuss. have four ion species that are dominating |
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43:11 | in the plasma membrane. But it out that when you calculate the membrane |
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43:17 | , when you're calculating the membrane you are mostly relying on potassium and |
|
|
43:26 | . So maybe one of the, should have asked the question, How |
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|
43:30 | this doesn't include calcium and chlorine. said there's four ions that are |
|
|
43:37 | They're right. It's because there's virtually credibility for chloride and uh resting membrane |
|
|
43:47 | . Therefore, if the permeability is , the whole value here is zero |
|
|
43:56 | . So, so now this is differences that we already discussed between the |
|
|
44:04 | equation on top and the Goldman equation the bottom. Again, the uh |
|
|
44:12 | equation is to calculate individual ionic potentials potential values for individual ions. And |
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|
44:24 | equation is V. M. Calculation is membrane potential. And it's different |
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|
44:31 | nurse equation because it doesn't calculate the based on one eye on but in |
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|
44:39 | case on two ions you can chloride permeability value. Also if you want |
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|
44:45 | hear three islands, four islands. for the most part here, wrestling |
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44:51 | of potential is dictated by potassium and and the permeability. Uh for the |
|
|
44:59 | . How open are the channels to for the conductance of sodium versus |
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|
45:06 | This is an example of where you want for these ion concentrations to change |
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|
45:14 | and that there's a tight control of ion concentrations. Mhm After the first |
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|
45:23 | , I always get this commentary. never talked about this. So talking |
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|
45:29 | this and this is how the membrane value. M. D. Now |
|
|
45:36 | guys need to read the figures right access no votes number value. And |
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|
45:42 | is potassium concentration on the outside in middle of. What does that |
|
|
45:52 | That shows that if our regular outside concentration normal is about 3.5 million Moeller |
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|
46:02 | here, which would be close to wrestling member of value here. If |
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46:09 | shift the outside potassium concentration from 3.5 10 to 2015 million moller you're shifting |
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|
46:19 | by about 2030 40 million volts. that doesn't happen. So if you |
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46:28 | a lot of potassium build up on outside of the cells, the cell |
|
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46:32 | of professionals will be polarized and they reach the threshold for action potential. |
|
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46:37 | will start firing action potentials. So happens is that doesn't happen. So |
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|
46:45 | we talked about and what this illustrates how memory potential is dependent on the |
|
|
46:50 | concentration of potassium is that if you increase outside concentration of potassium you will |
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46:56 | a significant deep polarization and the number compassion to prevent that we call upon |
|
|
47:03 | friends the glial cells in this case astra sides that spatially buffer these increases |
|
|
47:11 | potassium concentrations. So there's a lot activity between the south that will be |
|
|
47:16 | up of potassium on the outside. astro side is gonna start slurping up |
|
|
47:20 | locally increased potassium concentration, distributing through own very broad spatially distributed network and |
|
|
47:31 | astrocytes are interconnected with other astra Therefore if there is a local increase |
|
|
47:38 | potassium concentration here this very quickly gets buffered and distributed through the a specific |
|
|
47:45 | to make sure that those concentrations are in check on the outside on on |
|
|
47:52 | inside there's other ways that this is controlled. But this is an example |
|
|
47:58 | if you do have abnormal potassium increases will have deep polarization and firing of |
|
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48:04 | potentials. And in fact in many techniques to activate cells even in biochemistry |
|
|
48:13 | there will be applications of potassium So high concentrations of potassium or potassium |
|
|
48:19 | that will activate the cells to really degree without doing electrical stimulation or other |
|
|
48:28 | . So yeah. Yeah yeah. there you will see that exercise play |
|
|
48:41 | very important role in maintaining the balance ions and the surrounding neuronal tissues and |
|
|
48:48 | synapses of potassium. They'll be also similar things with calcium. This rises |
|
|
48:55 | calcium extra cellular abnormal there will also buffering calcium spatially. So they're involved |
|
|
49:03 | regulation of the ionic concentrations. And you'll learn later in the course they're |
|
|
49:09 | in regulation of glutamate as well. major excited to a neurotransmitter and because |
|
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49:15 | have such extensive spatially such extensive processes connections so if there is a local |
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|
49:22 | in something that's very quickly gets diluted to speak or spatially buffered is another |
|
|
49:30 | so that the concentration is maintained throughout network and about the same million |
|
|
49:38 | Okay so potassium channel structure. We're talk about potassium channels and we're gonna |
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|
49:43 | about action potentials. But Roderick this is from your book the path |
|
|
49:50 | discovery the atomic structure of potassium Talks specifically about uh dr Roderick Mackinnon |
|
|
49:59 | his career and his passion and his to determine the precise structure of potassium |
|
|
50:08 | . So there's a lot of things are in that path of discovery and |
|
|
50:13 | you to read it. But he's very interesting man and scientists he got |
|
|
50:17 | M. D. And he was in Harvard and then he decided that |
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50:22 | wants to pursue the quest and his was the structure of the potassium |
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|
50:29 | So hungry for that. He gets a lab at the university and starts |
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50:36 | basic research with flies and he uses mutations. So he uses a technique |
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|
50:45 | is called side directing you to genesis what he's doing essentially he's trying to |
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|
50:52 | different genes and see what genes are for the changes and this protein structure |
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|
51:02 | will also influence the activity on the of ions whether this protein is opening |
|
|
51:07 | closing properly this protein channel. So flies that he was working on our |
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51:14 | flies and this is a model where have a genetic mutation and and the |
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51:20 | channel and the flies have almost epileptic activity called shaker flies. The reason |
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51:28 | you would want to use systems like like shake or flies or flies in |
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|
51:33 | is because fruit flies are abundant. don't have to get International Animal Care |
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51:41 | Committee to improve your protocols to work flies, they were produced very easily |
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51:48 | have short lifespan. Is very well genetics and the fruit flies. So |
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51:54 | what he's using as a model. also using electrophysiology, he's using electrophysiology |
|
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52:01 | he's using toxins. So he's recording through this potassium channel, the potassium |
|
|
52:07 | flowing, there's a change in the and then he's using toxins and toxins |
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52:14 | bind to specific parts of this protein . Usually protein channels are targets for |
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|
52:22 | substances to bind them whether they're endogenous that are produced by our own bodies |
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|
52:28 | exogenous chemicals, natural poisons, spider toxins, venoms and so |
|
|
52:37 | And it's very important because if you something in the channel structure and the |
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|
52:44 | function genetically, you can also use toxins and these toxins will bind to |
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52:51 | parts of the channel. And then can mutate specific parts of the |
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|
52:54 | Now you can say can the toxins bind to that channel and say no |
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|
53:00 | this mutation toxin doesn't bind, cannot to that channel anymore. So what |
|
|
53:04 | you just done? You have found site where the toxin binds and there |
|
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53:11 | be multiple sites on this protein one will bind here. It's a three |
|
|
53:16 | structure and molecules chemicals have certain structural to them and for them to interact |
|
|
53:24 | the proteins and with the channels. they're binding to something, they have |
|
|
53:28 | find the correct location. But there be multiple different chemicals that are interacting |
|
|
53:36 | the channel. So he used he used genetics and electrophysiology to determine |
|
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53:42 | parts of the channel are important for flux of the potassium through it. |
|
|
53:47 | based on all of this information, was trying to deduce uh biochemical and |
|
|
53:56 | the structure what that channel would look . And at that point you decided |
|
|
54:03 | take up another career and become an ray crystallography for X ray crystallography is |
|
|
54:11 | technique where you can capture a single channel inside the crystal. And as |
|
|
54:18 | captured inside the crystal, you passed X rays through that crystal and you |
|
|
54:27 | reveal the channel structure. So already leaving his successful and D career his |
|
|
54:35 | were saying you're crazy, you're gonna now X ray crystallography lab. This |
|
|
54:41 | like you know completely different field. if you are in biology or or |
|
|
54:48 | electrophysiology or sciences about chemistry is still at that point in particular In the |
|
|
54:56 | . And so it's a it's a difficult technique to master. You know |
|
|
55:00 | you have like several PhD students trying trap a protein and trying to describe |
|
|
55:06 | structure. It seems that now these artificial intelligence is really, really good |
|
|
55:15 | much, much faster at solving these instructions. But in the 80s and |
|
|
55:19 | you had the limited amount of science you had and the amount of artificial |
|
|
55:25 | that we have now is based on it didn't come from. Air artificial |
|
|
55:32 | comes from reading all of these papers how all of these channel structures were |
|
|
55:38 | . So, using the toxins using genetic mutations, I directed me to |
|
|
55:44 | in particular, he discovers important parts this channel structure. He discovers the |
|
|
55:51 | parts of toxins mind and he discovers hairpin loop, the poor loop here |
|
|
55:57 | is responsible for channel selectivity. So describes all of these things using X |
|
|
56:05 | , you can finally illustrate the beautiful of the potassium channel using X ray |
|
|
56:11 | . So this is a very long and of course we will say why |
|
|
56:18 | this isn't a fly but we have amino acid sequences. Some of these |
|
|
56:25 | sequences to which our spider toxin binds the shaker fly exist in human potassium |
|
|
56:30 | . Therefore the same spider toxin would the same effect or similar effect in |
|
|
56:37 | in the human potassium channel. Uh reason why I like roderick Mackinnon story |
|
|
56:45 | lot is because he is on a to solve the structure of the channel |
|
|
56:54 | wants to and then visualize that channel X ray crystallography. So he's not |
|
|
56:59 | a quest to get an M. . Or to get a PhD or |
|
|
57:04 | get a faculty position. He's on quest to solve the problem and it |
|
|
57:11 | stop him to shift from M. . Into essentially basic research work and |
|
|
57:18 | ends up having a page or two to him in the textbook because of |
|
|
57:25 | he did, not only his discoveries potentially of how he did it |
|
|
57:31 | So as you're thinking of your future I always tell you that you always |
|
|
57:38 | to look forward but the pathway is straight and in fact quite often you |
|
|
57:45 | even have setbacks where you're not moving , it doesn't mean that you cannot |
|
|
57:50 | forward and then a lot of times come in life and there's crossroads, |
|
|
57:56 | know, personal crossroads. Professional crossroads you have to make these decisions. |
|
|
58:03 | I think that a lot of times you keep an eye on the prize |
|
|
58:08 | what you would really like to accomplish this earth, and it doesn't matter |
|
|
58:13 | you didn't accomplishment this semester, if didn't accomplish it that year, or |
|
|
58:20 | you didn't accomplish it with your degree you got, and you think that |
|
|
58:24 | it's not the right place where I be, I wanna explore. There's |
|
|
58:27 | opportunities to do that and to take different pathway, a different approach, |
|
|
58:35 | it's important to have a goal. important to have a pro problem that |
|
|
58:40 | are interested in, that you're passionate , and there are multiple ways and |
|
|
58:47 | that you can get and trying to to a solution to that problem. |
|
|
58:53 | it could be motivated for personal because you have Alzheimer's in the family |
|
|
58:59 | you have motivated about something else because professional reasons or just you have a |
|
|
59:06 | interest in something. So, this a really good story, I |
|
|
59:10 | to read recommended, okay, action , we have the rising phase that |
|
|
59:17 | the falling phase that undershoot and this the resting membrane potential. So we've |
|
|
59:23 | dwelling in this world here and this number of potential before the action takes |
|
|
59:28 | before the action potential is generally. over the next two or three lectures |
|
|
59:35 | will be discussing the action potential. there are multiple ways that you can |
|
|
59:40 | action potentials. Most of the things we're gonna talk about in the scores |
|
|
59:44 | with the intracellular recorders or when the are recording from individual neurons from the |
|
|
59:52 | patches of the plasma member of individual and these intracellular recordings. And when |
|
|
59:59 | do it for selling recordings, the , oscilloscopes will show you fluctuation during |
|
|
60:05 | action potential of approximately 100 million balls the duration of a couple of |
|
|
60:12 | But there are also techniques by which can bring these micro electorates onto the |
|
|
60:21 | of the neurons. And if you're on the outside of the axon initial |
|
|
60:26 | of the neuron where the action potential generated, you'd have to use much |
|
|
60:32 | amplification and you would only notice the that are on the order of tens |
|
|
60:40 | hundreds micro balls rather than mila But there are techniques, experimental techniques |
|
|
60:48 | also um neurosurgical techniques we'll discuss later of course that allow you to record |
|
|
60:56 | potentials from the outside of the So you have to have really good |
|
|
61:02 | technology for that. You have to really fast circuits and filters that are |
|
|
61:08 | in but you can record action potentials the outside of the cell. So |
|
|
61:11 | just gonna be really small. You're have to amplify that sufficiently to pick |
|
|
61:15 | up from the noise. So you will provide about 1000 times. |
|
|
61:31 | for intracellular recordings, you barely have provide new amplified 10 times. What |
|
|
61:39 | it? Because the resistance because of only law and the resistance on the |
|
|
61:47 | of the south is much smaller than the inside of the south. So |
|
|
61:51 | pulls I are the same amount of resistance, small is small, r |
|
|
62:00 | large, the same amount of current large. So this uh uh it's |
|
|
62:10 | resistance and also preservation of direct charge here on the outside of what you |
|
|
62:14 | when they say direct charge from the , here's the charge is leaking, |
|
|
62:20 | up a fraction of this actually potential has it's everywhere around. It's no |
|
|
62:27 | just a longer location in the salary film. Alright, so generating action |
|
|
62:36 | . We have to stimulate the And we talked about how cells can |
|
|
62:41 | respond to different uh to the same in different patterns and frequencies of action |
|
|
62:48 | . So you can inject some current this is the electrical circuit stimulation through |
|
|
62:55 | electorate and everything that you see in electrical circuits. And you'll read if |
|
|
62:59 | read any neuroscience papers, it will be a little bit of electrophysiology component |
|
|
63:04 | almost all of them. Or a of the electrophysiology neurophysiology component with a |
|
|
63:10 | of neuroscience papers because this is really function and the communication between the south |
|
|
63:16 | we can monitor inside and responses of cells. So if you inject a |
|
|
63:22 | current into the cell is what we the square wave like pulse because square |
|
|
63:28 | ? Because electronic switch on and on response of the cell is not completely |
|
|
63:33 | because the cell has resisted and capacitive . So the charge build up here |
|
|
63:39 | not immediate. This switch here on immediate and this change in the potential |
|
|
63:46 | take a few milliseconds because charge needs cross across possible membrane across the resistance |
|
|
63:53 | the capacity. And we'll talk about and they have uh missed an important |
|
|
64:00 | and they have to come back to talking about resistance and capacitors. |
|
|
64:05 | I think we're gonna talk about it . And of course later in this |
|
|
64:11 | . So if you inject enough current you can inject large enough input into |
|
|
64:17 | cell, the cell will reach a threshold. That's called threshold for action |
|
|
64:23 | will respond in a certain pattern of actions ecologies. And in many cells |
|
|
64:30 | first response is not going to be maximum number of frequencies of action |
|
|
64:34 | So if you give it even a current or stronger input is received by |
|
|
64:40 | south. The south can produce more and at some point it may reach |
|
|
64:47 | highest frequency of firing that it can period but in heart what this tells |
|
|
64:54 | is the size of an input in is reflected by the frequency and or |
|
|
65:03 | number of the action potentials that are . Low stimulus, five action potentials |
|
|
65:10 | stimulus more actual production. So in basic terms, the strength of the |
|
|
65:18 | means higher deep polarization. Or the of the stimulus means higher number of |
|
|
65:25 | frequency of the action potentials. ionic driving for us, do I |
|
|
65:33 | to get into the ionic driving force ? Maybe I should, but I'm |
|
|
65:40 | start here by telling you that what have addressed, which is here. |
|
|
65:46 | value minus 80 million balls. And is not the value I'd like for |
|
|
65:50 | to follow. But this is minus million value here. And what you |
|
|
65:56 | is a resting membrane potential. potassium dominating the potassium conductance is are dominating |
|
|
66:02 | the sodium conductance is during the rising of the action potential. So at |
|
|
66:10 | potassium is leaking during the rising phase the action potential. The conductance is |
|
|
66:17 | are dominating the membrane. Are driven sodium and sodium is trying to drive |
|
|
66:23 | number of potential to its positive equilibrium value during the following phase of the |
|
|
66:29 | potential. It switches again, sodium close and potassium channels become the most |
|
|
66:36 | channels in causing the re polarization and dominating again. The potassium channels at |
|
|
66:44 | membrane potentials. So you have the in in potassium dominating sodium dominating rising |
|
|
66:52 | and then potassium in the following phase resting membrane potential again. So what |
|
|
67:00 | the driving force? The driving force , is the difference between the membrane |
|
|
67:08 | and equilibrium potential for each ion We it equilibrium potential is for one eye |
|
|
67:14 | the membrane potential reflects 2. 3 species plus permeability for these ionic |
|
|
67:22 | So, this is the difference And in this case, what we're |
|
|
67:27 | at is we have E. At minus 80 Equilibrium potential for potassium |
|
|
67:36 | potential for sodium positive 62. And channels are closed. The conductance for |
|
|
67:43 | is zero. The overall current is . So, you can calculate overall |
|
|
67:51 | v equals ir I G is the of our right D equals R Jeez |
|
|
68:03 | over hard. Huh? So by equal G. And instead of V |
|
|
68:23 | D. M. Which is membrane minus E. In this case |
|
|
68:32 | K. Which is equilibrium potential for . And if there is zero difference |
|
|
68:43 | , there's zero conductors or zero the current is zero. Huh? |
|
|
68:51 | sees that. So, this is formula right here that I turned V |
|
|
68:56 | ir Okay, because of. All , so, this is pretty, |
|
|
69:16 | simple. So, this is the force. This component is the driving |
|
|
69:21 | . The driving force is the And then we have the conductors. |
|
|
69:26 | if the channels are all closed, no conductors. No nothing ions cannot |
|
|
69:32 | across the channels. There's no ionic across this situation now. And this |
|
|
69:38 | the resting membrane potential which is dominated potassium leaking potassium channels are over potassium |
|
|
69:45 | collapsing. So guess what? There the same equilibrium potentials. Silk now |
|
|
69:51 | conductors with potassium G K, potassium greater than zero. Therefore the IK |
|
|
69:57 | going to be greater than zero. here, this is a situation where |
|
|
70:07 | measuring from zero potassium, its velocity it reaches a minus 80 million volt |
|
|
70:14 | minus 80 mil, evolve value between -80 and EK -80 is equal to |
|
|
70:27 | ? -80 -80. So do you have conductance here? Yes, I |
|
|
70:37 | flexing. Do you have the driving At this potential of -80? No |
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70:46 | . Therefore the overall current zero. there's not enough movement of potassium either |
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70:52 | the inside or outside. It's still , there's still conductance, The driving |
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70:57 | is zero. So again, the force is the difference between the number |
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71:01 | potential and deliberate potential. If we at this here is the driving force |
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71:06 | zero Mila balls. Is it a driving force for potassium? At zero |
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71:11 | Vm is zero and E K doesn't UK is minus 80 0 minus minus |
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71:20 | 80. Zero bolts build number and -80 membrane potential -80 -80. So |
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71:38 | zero the further away you are the is this difference between D. |
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71:45 | And E. K. Liberal The greater is the driving forms. |
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71:52 | if there is no difference between member potential and liberal potential, there's no |
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71:57 | force for that. So these are components of the actual potential. We |
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72:07 | into the voltage clamp. But before get into the voltage clamp and all |
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72:12 | this good stuff. I have a diagram for you in the lecture notes |
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72:17 | that is called action potential and everything need to know for the test. |
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72:28 | as far as values and as far understanding these concepts, I'm gonna run |
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72:34 | through this really quickly today because I'm out of time and I'm gonna let |
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72:41 | think about it for okay. And we're gonna come back and we're gonna |
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72:49 | a cool video on the action Also forgot to show you to you |
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72:54 | . We're gonna run through this But all of the things on this |
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72:59 | you should be able to understand now if not next week. For |
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73:06 | First of all Vm in miller vote and potential value measured by both |
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73:13 | Clocking a lecture on the cell. you measure the changes in the number |
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73:16 | the country, right? That membrane can be zero can be minus |
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73:21 | It can be plus 40. Can Linus E. It's not static. |
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73:27 | resting number and potential of minus 65 70 million balls in this case. |
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73:32 | RMP is resting minus potential is minus syllables. This is the value I |
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73:37 | you to know for the exam, wrestling member and potential is never static |
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73:43 | biology. If you see a it's not good news. Number of |
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73:48 | fluctuates a little but they're small thermodynamic , small changes in permeability of channels |
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73:55 | up and closing up. It's fluctuating 65 -65. If it gets negative |
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74:02 | , gather inputs and hyper polarize is it gets positive inputs and deep |
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74:09 | So this is resting membrane potential. resting membrane potential. This is $0 |
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74:16 | . And these are equilibrium potentials, put -90 people further away, chloride |
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74:26 | sodium positive 55 for the book says 62 and in some places it says |
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74:32 | 55 and calcium positive 120. These equilibrium potential values. So we talked |
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74:41 | the fact that driving force is really . If you look at the driving |
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74:49 | for sodium which has a deliberate potential and positive 55 and the number of |
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74:55 | is at -70. This is a difference, huge driving force for sodium |
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75:03 | E. N. A. And membrane which is sitting here D. |
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75:09 | . So sodium has big driving force as soon as there is enough deep |
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75:17 | sodium channels will open up. Open . Open up. It's gonna be |
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75:21 | influx of sodium and sodium will try drive this number and potential into its |
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75:27 | equilibrium potential value because it's now most i onto the membrane And it is |
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75:34 | to drive into the positive values with channels. Close driving force for sodium |
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75:42 | because now the number of potential is and the driving force is small. |
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75:47 | guess what? The driving force now huge for potassium miles. Where the |
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75:53 | of potential is here. sodium ions it's a positive feedback loop but we'll |
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75:59 | about the kinetics of sodium channel sodium close potassium channels open and potassium A |
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76:07 | the member and potential to its own potential value. It doesn't quite succeed |
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76:14 | it goes below the resting number of and the N. A. |
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76:18 | C. P. A. S and house rebuild this number of potential |
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76:23 | its fluctuating resting number of potential So positive excitatory inputs come in barrages |
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76:32 | L. D. Polarizes negative Come in this cell number and potential |
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76:37 | polarized. So I'm gonna leave it today and when we come back we're |
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76:42 | review all of this one more I wanted to mention that there is |
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76:46 | umbrella here. There is a car here. Uh There is uh pods |
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76:55 | . There is uh one other pot , there is another red pot |
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77:01 | Uh Please let me know if they're . Otherwise I'll see you next |
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77:06 | Have a good |
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