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00:02 OK. So we continue talking about membrane potential and we started talking about

00:07 pro channels because the ions that surround membrane from either the external side or

00:16 side, they cannot cross through the membrane. Ok. So what we

00:21 to do is we need to build channels. These channels when we talk

00:27 especially the action potential are gated by and they're specific or they're selected to

00:34 ions. We will also later in course, talk about light gated channels

00:40 we talk about receptor channels, uh regard to neural transmission and then mechanically

00:46 channels and these channels, if you all of these proteins are built out

00:52 these building blocks, and some of amino acids will have amino acid residues

01:00 the internal lining of these channels that be interacting with the ions.

01:09 ion pumps work differently. You'll notice channels are gated by voltage as we

01:17 . And by other things, the are driven by a TP. So

01:22 another reason why the brain consumes a of energy. It will need to

01:27 these pumps and these pumps will use lot of A TP and they will

01:33 ions against their concentration greatness. So will learn that these proteins will conduct

01:41 to that extracellular fluid where there is concentration of sodium. So against concentration

01:48 and this is going to pump in the same time, two potassium ions

01:54 intercellular which is against the concentration gradient potassium. And then of course,

02:03 is different pumps. Apart from just A T DNA K pumps that we

02:09 about, there are calcium pumps that transport calcium, there are different transporters

02:17 will also transport neurotransmitters. And if just imagine a a simple situation of

02:27 concentration chemistry as is illustrated here and have sodium chloride, a lot of

02:35 from this side of the membrane and no channels here. So sodium fluoride

02:40 pass through. If you insert channels the specific sodium fluoride, these two

02:46 are going to flow down to This is called infusion its chemical gradient

02:52 will be driven by chemical gradient onto side until there is an equal molar

02:58 equal concentration of these ions on each of the membrane. So note

03:07 that channels will allow crimes to be on concentration gradients. But that is

03:14 the only determinant as you learn, for voltage gated channels, they're permeable

03:21 specific ions and that there is a gradient or uneven distribution of charge across

03:30 plasma membrane. Now, some of basics of electricity that you may recall

03:38 high school or in college. Here review also is that for example,

03:44 have a battery which has the positive the negative and the positive is the

03:50 node and anions are negatively charged ions gonna be attracted to the positive end

03:56 the anade battery. The chode which negatively charged and of the battery will

04:03 attracting sodium ions to the negative sodium positively charged. So that tells

04:11 that apart from the chemical gradient and pure concentration dependent drive of ions they

04:20 charged. Therefore, there's going to an interaction and the flux of ions

04:26 not just going to depend purely on chemical gradient, but it's also going

04:31 depend on the electrical charge of these and the batteries which essentially form across

04:41 plasma membrane. So electrical currents will only influence ionic movement, it is

04:48 ionic movement that is the electrical And if you call arms law V

04:56 ir so V stands for voltage and neurons, the relevant scales that we're

05:05 in voltage is going to be mostly nodes so that we can pick up

05:10 activity as well. Uh I stands current and the neuro relevant scale is

05:19 many anthers or people anthers and r for resistance, which is measured in

05:30 and the relevant scales for neurons as and mega os. And that is

05:38 neurons at very small cells, about micrometers in diameter. The smaller the

05:45 , the higher the resistance. electrical conductance is the inverse of the

05:54 . So you can rewrite R is one over G. So you can

06:00 S Law B equals ir or I equal G conductance times the change in

06:13 and conductance. Uh It relevant scales measurements for neurons is in nano semen

06:22 pick a semen. So electrical the potential of the battery is

06:28 And when you put a volt meter across the two ends of the battery

06:34 in your house AA or AAA, says 1.5 volts. So you this

06:40 the the voltage OK. And that's there is an equal separation of charge

06:46 there is a cross none as s , there is flux of current movement

06:53 positive current with is within the direction charges within the direction of the

07:01 So as we mentioned in, in first lecture that this ring me and

07:06 of minus 65 millivolts is not something stays locked in as a flat

07:13 it constantly fluctuates and you can have if it tries to depolarize closer to

07:21 we call the threshold for action potential . This value of about minus 45

07:28 . So this is depolarization in this and in this direction, it would

07:33 hyper polarization and sometimes the membrane may below the what we call the resting

07:45 potential and an abbreviated resting membrane potential RP. So what we have is

07:55 fluctuations. Those fluctuations are dependent on properties, chemical gradient and electrical

08:03 And also some of the thermodynamic changes may be influencing local pieces of the

08:07 . Because when things heat up a bit temperature goes up, ions flocks

08:12 and easier across the membrane too. , the way that this charge is

08:18 is that the negative charge is accumulated the inside of the membrane positive charge

08:23 the outside of the membrane. The of the cell has high concentration of

08:32 . And uh and the outside of cell has high concentration of sodium compared

08:38 the inside uh fluoride compared to the as well as calcium. And as

08:45 can see, the highest difference in , this is the minimal, the

08:51 difference in concentration there exists for calcium their own pile, you have two

08:59 lower on the outside and only 0.0002 the inside, which is 10,000

09:11 So from pure chemical gradient perspective, would have the highest drive to process

09:17 plasma membrane. But you have to channels. And apart from just having

09:22 that are specific to ions, those must be open and something needs to

09:26 them. And that's something that we're to be learning. So you have

09:30 uneven separation of charge across plasma membrane the inside versus the outside. So

09:38 note that the inner lumen of the and also away from the plasma

09:45 the charges are equal. So the charged area is right around the plasma

09:55 . Uh It's important again to remind the sodium potassium pumps will maintain large

10:02 concentration gradient on the inside and also con concentration gradients of sodium on the

10:10 . Uh We already talked about electrical . Potassium channels contribute the most arresting

10:18 . And you'll understand why. It's that, that's the way it is

10:26 potentials of ions. So as we spoke that this concentration gradient is not

10:33 controlling how ions are going to cross the membrane through the channels. And

10:40 this example, you have high concentration potassium on the inside of the cell

10:46 you ha have high concentration of sodium the outside of the cell and some

10:53 charged an ion. Then you have channel for potassium here and a channel

10:59 sodium here. And this anion this minus it cannot cross, it doesn't

11:06 a way to cross through plasma So it's trapped, you know,

11:11 the inside or the outside. you can see that sodium starts fluxing

11:19 the area of high concentration and potassium flexing for the area of high concentration

11:27 the area of low concentrations. it never equalizes across plasma numbering.

11:35 you have still more potassium on the and more sodium on the outside.

11:42 that is because as potassium starts crossing the area of high concentration, that

11:50 charge starts accumulating on the outside of membrane, starts accumulating on the outside

12:00 the membrane. And now that positive , the electrical charge starts repelling more

12:08 the potassium ions coming into the area there is less of them. And

12:14 this is called an equilibrium potential. this equilibrium is reached when you have

12:25 channels that have the same amount of that drives concentration and then you have

12:33 same amount, of course, it's and opposite in direction that is driven

12:40 the electrical potential. OK. So is what is referred to as equilibrium

12:47 for each ions. So how do calculate the equilibrium potential? So we

13:01 this nernst equation and nernst equation or potential for ion equation E ion.

13:11 calculated in such a way that each of the ions, each ion has

13:20 own equilibrium potential value. So equilibrium here are calculated for potassium or sodium

13:32 chloride and for calcium are the four ionic species that we're gonna be talking

13:39 . Ek in this case, equilibrium for potassium equals RT over Z fa

13:51 of potassium concentration on the outside of cell versus potassium concentration on the inside

13:58 the cell. R is the gas T is the temperature F is the

14:06 or electrical constant. Z is the charge of an ion. So chloride

14:14 one versus calcium two plus plus And this of course is potassium o

14:23 the outside concentration of potassium on the versus concentration of potassium on the

14:33 OK. So this is again another of this formula and you can read

14:39 on your own. But essentially this 2.303 RT ZF log of ion outside

14:52 ion inside. This whole part of equation collapses into 61 154. And

15:03 value becomes Miller Vault value. And is for monovalent potassium because remember it

15:11 on valence for monovalent potassium, for uh chloride and sodium. But this

15:22 is different for calcium and that's because is divalent to it. So on

15:30 midterm with, with the question commonly I get is am I gonna need

15:35 use a calculator and calculate equilibrium potential to derive the learns equation though you

15:43 not have to do it, but will have to know the concentrations of

15:48 four ionic species on the outside versus inside and be able to easily recognize

15:56 main components and the values equilibrium potential for these four ions that we're talking

16:05 . OK. But essentially, if walk through this calculation here, you

16:11 plug in outside concentration of potassium which low 1 to 20 you'll say what

16:19 this 1 to 20. So if look here the separation of charge is

16:23 there is about 100 millimolar potassium on inside versus five on the outside,

16:30 is 1 to 20. OK. 20 on the inside and one on

16:36 in uh uh on the on the . So this is where this abbreviation

16:40 here. You can use either the millimolar values or the ratio of the

16:48 values for each ion on the outside inside to plug into this uh equation

16:55 . And what you derive is that equilibrium potential for potassium is minus 80

17:03 . And again, uh just like the rusting membrane potential, some textbooks

17:07 say that resting membrane potential is minus minus 75 minus 65. It kind

17:13 varies depending on the set subtypes of that you're recording in tissues in a

17:18 . But this is uh NS As you can see, you have

17:24 concentration, all ratios of ions outside inside and at 37 °C, which

17:33 your physiological body temperature, you have potential for ions written out here minus

17:42 62 1 23 minus 65. And show you which ones I I want

17:47 to know because I have a separate that I prepared for you. So

17:52 important points, large changes in membrane potential can result from maybe what

17:59 would call very small and miniscule changes ionic concentrations. So if the changes

18:06 the number and change the voltage fluctuates a bit. That means two things

18:12 that's good because you can produce fast potentials. The other thing is you

18:18 to constantly make sure that the concentrations these ions and substances stay within a

18:24 dynamic range. OK. Net difference electrical charge inside and outside of the

18:31 surface only. So the inside of cell is charged neutral and as you

18:35 further away outside the cell from the , it's also charged neutral rate of

18:42 across membrane. It very much depends the difference between the membrane potential,

18:51 is VM and an equilibrium potential for given ion. And this is what

18:58 call the driving force. This VM is the membrane potential minus equilibrium po

19:06 is what we call the driving Now, concentration difference is known and

19:12 know those concentrations inside and outside of cells, equilibrium potential can be calculated

19:19 you saw here. And so if are different environments where these outside and

19:26 concentrations change, or there are big in temperature somehow, uh these calculations

19:34 equilibrium potential might give you slightly different . So equilibrium potential is not how

19:44 calculate the membrane potential. And that's just now I showed you VM minus

19:50 ion, let's say VM minus And that is because the membrane potential

19:57 on more than just one ion equilibrium calculation. When ernst equation is just

20:03 single ion species. So tacit et Goldman equation is what we use to

20:16 the membrane potential. Now notice this year 6154 millivolts is the same from

20:27 nernst equation. So up to this , we're still 2.303 RT ZF log

20:37 versus inside. Now, let's see that is the same. Now you

20:43 log, you do have the concentration an ion outside potassium. But in

20:52 of that, you have a value is PK and it's not the b

21:00 measure of the substance, but permeability potassium. So again, it's not

21:09 that membranes have channels, those channels to be open. And if they're

21:15 and full, there's going to be permeability for that ion. So there

21:20 to be conditions that create the ability the channels to open and close and

21:27 will regulate the permeability of ions. this is one thing already that is

21:33 from the Nernst equation. The second that is different is that we are

21:37 taking into account more than one And in particular, the most important

21:42 for deriving the DM, which is membrane potential with potassium and sodium note

21:54 at resting membrane potential permeability for this is the PK value for

22:03 It's 40 times that uh sodium, is a resting membrane potential. So

22:13 means that at resting number and potential cell membrane is dominated by potassium

22:25 this is outside, this is inside ions leaking outside the cell. It's

22:34 permeable to potassium press. And I , well, why not sodium?

22:39 because there are certain rules by which channels open and close and also nature

22:46 its own rules and called it potassium channels and they'll be open and therefore

22:53 will be leaking potassium out. And is gonna have the strongest influence on

22:59 resting number and potential because it's gonna 40 times of permeability. So,

23:06 potassium is £40 of permeable, you can plug in their mebolic

23:13 These are the potassium on the outside inside sodium on the outside versus

23:23 And you get the number of potential of about 5 to 65 millivolts.

23:34 now you see the difference between ernst which really is meant to calculate equilibrium

23:42 . It's meant to calculate that electrical chemical force uh interactions and the and

23:51 potential of the membrane. And so values are potential of the membrane

24:01 but they are equilibrium potential values of membrane for each ion. And the

24:09 membrane potential is calculated by taking into permeability for in particular sodium and potassium

24:19 together. OK. To derive this potential in the end. So these

24:27 , as we talked about, they're , they're selective or selectively permeable or

24:33 have selected permeability uh potassium or sodium another ion, but typically they will

24:40 allow other ions to flux through So why is that because they have

24:46 certain structure and this selective permeability for and having this leak channels is one

24:54 the key determinants of resting member But we have many types of selectively

25:01 membrane channels that are voltage gated that talk about. But we really focus

25:06 sodium of potassium potassium channels. There's whole family of potassium channels that have

25:16 similar sequence of amino acids. Remember are the building blocks from which we

25:25 the channels. And so we can across different channels and we'll see how

25:31 is a significant overlap in the sequences these channels that typically also will select

25:38 potassium. So we will group them the potassium family of channels. And

25:43 will be other sequences that are going be shared among sodium channels and certain

25:50 of allowing sodium current to go And this will be a family of

25:55 voltage gated channels. An example is shaker uh potassium channel. It's a

26:04 interesting channel that if you have a and how it was discovered this potassium

26:13 , a lot of potassium channel structure functionality was discovered by using flies because

26:22 amino acid sequences are not only preserved the same animals but also across different

26:34 , not exactly the same degree. we discover a lot of things and

26:40 primitive organisms like fruit flies and a in the voltage gated potassium channel and

26:48 voltage gated potassium channel was shown to those fruit flies shape. So

26:55 the shaker potassium channel and the shaking the fruit flies was somewhat reminiscent of

27:02 individual having a seizure. And guess a similar type of both educated potassium

27:09 in humans that have an equivalent mutation be found in individuals that have

27:19 And that's how you use a very system, like apply or another like

27:26 side or uh an isolated cell and determine functions and sequences molecular profile.

27:36 then you end up finding the same and equivalent and even symptoms uh in

27:44 . So potassium channel structure. So is what Roderick mckinnon, which is

27:50 in your textbook, you have these pathways of discovery and these pathways of

27:57 show you how different individuals used uh knowledge and what they were driven by

28:06 answer big questions in in, in , in this particular uh uh situation

28:13 Neuroscience. And Robert mckinnon, who Nobel Prize in 2003 when mutations of

28:24 potassium channels and study of those potassium and how they're related to inherited neurological

28:33 . Mhm And his story and his of discovery is very, very interesting

28:43 uh I don't remember the details of so you can reread it yourself.

28:49 what I was impressed by is that started out as an as an MD

28:56 had a a really successful practice. then he was longing for basic science

29:06 his medical surroundings. So you decided instead of doing medical practice, he

29:16 going to, he was really driven a question of what is this?

29:22 do these potassium channels look like? was on a quest to see or

29:30 the structure of these potassium channels. it's difficult to do that in humans

29:37 in the clinical setting. So you to enter into basic research setting.

29:42 that's exactly what he did. He out very successful in the career and

29:48 to study fruit flies and mutations and channels and the shaker flies. And

29:57 was using other techniques that are called directed muto Genesis. For example,

30:04 would mutate different parts of this, is depicted as a potassium channel and

30:11 would see which parts of this channel you, when you mutate it change

30:16 function of that channel significantly. For , it can no longer conduct potassium

30:21 it stays open all the time after mutated a certain part of that

30:26 So it's called side directed mutagens. see if I keep right on top

30:42 . So besides directed, OK. to Genesis, that means that you

30:56 directing into a specific site on on this podium channel particularly. So now

31:05 second thing is he was using So nature has a lot of potent

31:16 in it. And this is the toxin, spiders, scorpions,

31:26 reptiles, snakes, they have they have toxins that they produce.

31:33 a lot of these toxins will interact specific channels in our bodies. So

31:41 , you cannot take a scorpion toxin test it on humans. So

31:45 you have to go into a more model like a fruit fly. You

31:51 use these toxins and you can use . Why would you use electrophysiology,

32:01 , electrophysiology will allow you to understand flux of cars across these channels.

32:08 that you're recording electrical activity. So recording membrane potentials, action potentials,

32:14 recording changes in membrane potential. So is electrophysiology then that's cool. So

32:32 exits as an MD and he's using models and he's doing C recognition Genesis

32:39 he's doing electrophysiology and he is using toxins. And all all of these

32:46 are gonna be very helpful for him start deducing the structure and calculating the

32:54 of this voltage gated potassium channel. talking about eighties and nineties, but

33:01 not enough. That's not enough. and he is driven by the quest

33:07 actually visualize the channel. So he leaves this first university that he left

33:16 he was MD and enters into another where he becomes, he becomes an

33:33 first. The longer anybody knows what ray crystallography is to visualize.

33:46 exactly. So it's really complicated. talking about 30 years ago, what

33:53 have to do is you have to and trap one single protean channel inside

34:04 crystal and then you pass x rays that crystal. And those x-rays just

34:15 they show you the bones in the that actually have the ability to show

34:20 the structure. It's called X ray . And to do that, it's

34:25 earning a whole new degree in a different area from side directed neogenesis

34:32 This is in the Department of OK. That's where most of the

34:37 crystallography done. So now he's a . And the reason why uh I

34:44 this is because I think you should these techniques so that you understand that

34:49 that went in in the eighties and nineties and the early two thousands and

34:53 , and not only deriving, calculating structure, understanding important sites in these

35:00 , understanding interaction with the different whether they're blockers, whether they keep

35:06 open, where do they buy? we design now new pharmacological agents that

35:14 these toxins but in a controlled fashion use them as neurological drugs to treat

35:22 disorders, to understand how the structure the function relate together and what agents

35:29 can use to eventually create different medications people that study from uh suffer from

35:36 disorders. OK. So uh the reason why apart from knowing these

35:44 we talked about physiology, talkin will back and talk about it again.

35:49 next lecture or two. So these repeating themes. The other thing that

35:55 really important about this is that if are after something, it doesn't matter

36:05 you are or what degree you have . So as you're embarking on your

36:12 or as you are embarking on your jobs or careers, you have to

36:21 a passion for something. You have want to solve some problem. You

36:27 to improve something, you know, and borer school of business will say

36:33 just wanna make money. But if you make money, it's difficult

36:39 people don't, well, people give money for bad things, but that's

36:42 something that we strive for. So , it's that quest. In this

36:48 , he had a quest of showing structure of the potassium channel MD.

36:54 now phd. This. No, OK. I'll go do the X

36:57 Crystal Large. So it's like reinventing two or three times to answer the

37:02 to finally get the Nobel Prize. his pathway was extremely windy, but

37:10 moving forward. And in this moving forward to, to address a

37:14 , address an issue, solve something innovate. And I think that's,

37:18 really important that you carry that component you and also identify that component within

37:27 field. There are people that are at some things and everybody almost has

37:33 strength that they need to bring out identify and be passionate about it and

37:39 it because otherwise we just can watch on the couch and not much will

37:48 . All right. So it's very that we regulate this potassium. We

37:53 about how the potassium is leaking at . OK. How it's the most

38:00 the membranes of potassium, uh the in number and potential that's closest to

38:07 in C. And if there are fluctuations in the extracellular potassium, this

38:13 influence the overall membrane potential. So measured in millivolts is the membrane potential

38:21 this is ko outside concentration of potassium mila molar. So, a typical

38:30 is about 3.5 5 millimolar which places resting number in potential around minus 70

38:38 65 somewhere around here. But if is a change of just five millimolar

38:44 potassium concentration on the outside, this the outside to 10 millimolar, it

38:52 the threshold for action potential generation. means that if that concentration is sustained

38:59 the outside of potassium, the cell fire an action potential. And the

39:05 control of these concentrations of the potassium very important. And if you

39:11 we talked about glia, we talked astrocytes and we said how racy are

39:17 around the neuronal synapses and if there increase in potassium outside, they will

39:24 it up because they don't want the to fire action potentials uncontrollably due to

39:30 changes in the potassium concentration. So it's uh it's, it's

39:34 maintained within a certain range of about millimolar 4.55 millimeter doesn't fluctuate much if

39:45 does, it can actually depolarize the and depolarize them beyond the action potential

39:53 threshold. The other important way that regulate potassium. So this is the

40:01 , the next slide of how they sensitive increases in exercise of the potassium

40:06 they will essentially fally buffer this potassium their processes. And the interconnective network

40:13 other troys also from the blood. , we have regulation of both endothelial

40:19 t junctions and Astros on how much from the blood can enter into the

40:26 . And meaning that if there is much of potassium entering into the brain

40:31 the external environment, that means the is increasing, the brain can become

40:36 excitable and that could be due to leaky blood brain barrier and high concentrations

40:41 potassium in the blood. All So this concludes our lecture on the

40:48 number and

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