PPP: Electrical Properties of Cells Flashcards
What are the 3 main methods to measure electrical events in cells?
1) intracellular - place an electrode near/inside a cell to record electrical changes in that cell e.g. glass micropipette inside the cell
2) extracellular - electrode outside the cell
3) patch clamping - electrode is sealed to the cell surface ∴ just on the CSM
What are the 3 ways that electrochemical gradients are established?
1) Na+/K+ ATPase pump moves ions against their conc gradients, providing energy for other processes
2) restricted ion movement through channels - ∴ there is electrical communication between the inside and outside of cells but the gradients do not run down quickly
3) the membrane stores ionic charges on its outer and inner surfaces of the membrane - ‘out of solution’ (capacitance)
What is capacitance?
The ability of a membrane to hold electrical charge
Describe how a shell of charge is created at a cell membrane using K+ and Cl- ions
1) the inside and outside of the cell are both respectively neutral when [K+]=[Cl-]
2) when only the K+ channel is open, K+ ions diffuse down their conc gradient out the cell passively
3) they then roll around the mouth of the channel and sit on the outside of the membrane
4) bc they are positively charged, K+ ions attract Cl- ions on the inside of the membrane which in turn prevent the K+ ions from leaving the outer surface of the membrane
5) these two ions stuck to either surface of the membrane causes the intracellular potential to decrease
- the ions are ∴ moved from the inside of the cell to be arranged in pairs across the membrane
6) ∴ the membrane is coated with charges creating two smears of charge on the inside/outside of the membrane and ∴ a shell of charge across the membrane (inside of cell becomes relatively negative)
Why does the concentration of ions not really change when K+ and Cl- ions create a shell of charge at the membrane?
- The ions in the shell of charge stuck to the membrane can be regarded as effectively out of solution
- However, the number of ions that actually stick onto the membrane is minute compared with the total number of ions inside/outside ∴ the concentration of ions inside/outside the cell remains effectively the same
How is energy needed to separate charges across the membrane?
- Ions in solution have a net distance apart from each other as like charges attract and opposite charges repel
- ∴ when oppositely charged ions are lined across the inside/outside of the cell membrane, the ions are separated by a bigger distance then they would be if they were free in solution - this further separation of attracted ions required energy from the pump
- The work done to separate the charges across the membrane is the membrane voltage (as the electrostatic attraction works through the membrane)
- ∴ the potential energy in terms of the gradient is transferred to a store of potential energy by separating charges across the membrane
What does the separation of charge across the membrane lead to?
It gives rise to the electrical activity of the cell
- e.g. “RMP of 70mV” = 70mV if work has been done to separate the charge across the membrane
How is voltage a measurement of work done?
- 1 volt = 1 joule per coulomb
- ∴ if you expend 1 joule of energy moving 1 coulomb of charge, you have done 1 volt of work
- ∴ voltage = a measurement of work done
How is electrical drag-back created by concentration gradients?
- K+ ions are pumped out to create a concentration gradient and Cl- ions are drawn up by electrostatic attraction
- However, the two ions attract so that the Cl- ions try and stop the K+ ions from leaving
- ∴ this create an electrical drag-back in the opposite direction ∴ electrical and concentration gradients often oppose each other
What evolutionary features allow concentration gradients and electrical gradients come to a point of equilibrium?
1) the thickness of the membrane (7nm)
2) the properties and numbers of the channels
3) the way that the pump works
4) the ‘just right’ concentration gradients
∴ there are points across membranes where the electrical work done and work done by the concentration gradient in the opposite direction can be equal
What is the equilibrium potential?
The point where there is no net movement of ions and the electrical force exactly balances the concentration (osmotic) force (the force of the concentration gradient pushing the ion out of the cell is exactly matched by the electrical force pulling the ion back in)
- i.e. the voltage to stop an ion being pushed in one direction by its concentration gradient
What is the name of the equation that can be used to determine the equilibrium potential (if the concentration gradient is known)?
The Nernst Equation
What is the Nernst equation?
E = RT/zF x ln([ion]out/[ion]in)
From what equation is the Nernst equation derived?
- Electric work = osmotic work at equilibrium
- EzF = RT x ln([ion]out/[ion]in)
What do the different parts of the Nernst equation stand for?
1) z = valency (atomic number)
2) F = Faraday’s constant
- a mole of monovalent ions will contain zF coulombs of charge (takes charge into account)
3) E = equilibrium potential
4) R = universal gas constant
5) T = temperature (kelvin)
6) ln([ion]out/[ion]in) = ln(concentration gradient)
What are the only two things that need to be experimentally measured to work out the equilibrium potential using the Nernst equation?
Concentration gradient and temperature
How do you simplify the Nernst equation?
1) RT/zF has units J/C ∴ has units V
2) convert ln to log10
3) assume temperature is room temperature (25 degrees)
4) ∴ as R and F are constants, then for monovalent ions:
E = 58mV x ln([ion]out/[ion]in)
What is the equilibrium potential for an ion?
The membrane voltage that a cell needs to be at to prevent movement of that ion down/by its concentration gradient
What two things does the equilibrium potential of a cell need to accomplish to maintain [K+] and [Na+]?
1) K+ - high [K+] inside the cell ∴ want to make the inside of the cell negatively charge to restrict K+ moving out down its concentration gradient
2) Na+ - high [Na+] outside the cell ∴ want to make the inside of the cell positive so that it prevents entry of Na+, by repulsion, down its concentration gradient
What are the equilibrium potentials of K+ and Na+ (from Nernst equation) at physiological conditions?
1) Ek = -90mV
2) ENa = +60mV
Why is the resting membrane potential (Vm) -70mV?
- To stop Na+ entering the cell and K+ from leaving the cell (balance between Ek and ENa)
- ∴ at constant Vm, there is no net flow of ions bc the passive leak of K+ is matched by the leak of Na+ in
Why is Vm much closer to Ek than to ENa?
Bc the membrane is 50x more permeable to K+ than Na+ as there are more open K+ channels ∴ Ek dominates Vm
- if a cell becomes permeable to an ion by opening channels for that ion, then that ion will drive Vm towards the equilibrium potential for that ion
- ∴ as the membrane is more permeable to K+, K+ drives Vm towards Ek
What happens during APs (in terms of equilibrium potentials)?
- If you open lots of Na+ channels, Na+ enters and drives Vm to ENa ∴ making the cell very positive
What is the equation for a driving force on an ion?
Driving force = Vm - Eion
Describe the driving force for K+
- Driving force = -70mv - (-90mV) = +20mV
- ∴ at rest, there is a force which is tending to drive K+ out (bc driving force is positive) ∴ it is not negative enough to attract all the K+ at the membrane
Describe the driving force for Na+
- Driving force = -70mv - 50mV = -120mv
- ∴ at rest, there is a large force which is trying to force Na+ in
What is conductance?
The amount of current that actually flows across the membrane
What is permeability?
The ease with which an ion can get across (set by the number of open ion channels)
Why is there no net flow of ions?
Even though the membrane is much more permeable to K+, the driving force pushing K+ out is much weaker than the driving force pushing Na+ in
- ∴ the same number of K+ and Na+ leave/enter
What is altered in cells to change flow of ions?
- For the same concentration gradient, the membrane permeability can halve ∴ halving the conductance
- Concentration gradients are fixed but ion channels open and close, altering conductance
What does the Goldman Hodgkin Katz (GHK) equation consider?
The relative permeabilities of monovalent ions (modified Nernst)
What is the GHK equation?
Vm = 58mV x
log (Pk[K+]out + PNa[Na+]out)/(Pk[K+]in + PNa[Na+]in)
What does P stand for in the GHK equation?
The relative permeability of the membrane to the ion (can be experimentally determined
- units of P are the same for K+ and Na+ ∴ the ratio of the two permeabilities will be be a whole number
Why is the GHK equation important?
- If you don’t take permeability into account, using the resting [K+] and [Na+], Vm = -1.0mV
- If you do take relative permeability into account (Pk=50, PNa=1), Vm = -76mV (sensible value)
What are the 4 parts of an action potential?
1) Rest
2) Depolarisation
3) Repolarisation
4) Hyperpolarisation
What two parts can hyperpolarisation be split into?
1) Absolute refractory period - period where you can’t get another AP to occur
2) Relative refractory period - where the nerve is slightly less hyperpolarised and you can get some conduction of APs (intermittent)
What are the 6 key properties of an action potential?
1) triggered by depolarisation
2) a threshold of depolarisation is required for an AP
3) all or none
4) propagates without decrement - i.e. it stays the same amplitude as it goes along the axon/muscle fibre (doesn’t diminish)
5) at the peak, Vm approaches ENa (at trough, Vm approaches Ek)
6) after the AP, the membrane is inexcitable during the refractory period - this limits the frequency with which a nerve can conduct impulses