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37 Cards in this Set

  • Front
  • Back

Electrical Signals of Nerve Cells

- Receptor potential (graded)


- Synaptic potential (graded)


- Action potential (all-or-none)

Receptor Membrane Potential

- an intrinsic property of the cell


- can be calculated if you know channel permeability and ion concentration in/out of the cell

Current

- the movement of charge in a given period of time


- units are amperes (A) where 1A = 1C/second

(2) Factors Determining Size/Amplitude of Currents

- the potential difference between the electrodes


- the electrical conductance of the medium between them

Electric Potential

the amount of potential energy per unit of charge at a given location

Potential Difference

the difference in potential between 2 locations (the work needed to move a test charge between points)



units are in volts (V)

Conductance

the ease of flow of current between two points



units are in siemens (S)

Resistance

the inverse of conductance



units are in ohms (Ω)

How to Calculate Conductance and Resistence

- can be calculated if potential and current are known


- use Ohm's Law

Ohm's Law

V = IR


or


I = gv



where V is voltage, I is current, R is resistance and g is conductance

Cell Membranes and Capacitors

the cell membrane is a capacitor:


- two conductors (outside and inside of cell)


- separated by an insulator (the membrane)



when charge is introduced onto 1 of the conductors, it pushes similar charges away from the other conductor as they repel. Thus, a separation of charge occurs.

Capacitance

a measure of how much charge (Q) needs to be transferred from 1 conductor to another to set up a given potential difference



units are farads (F) where C=Q/V



a 1F capacitor will be charge to 1V when +1C of charge is on one conductor and -1C on the other

Cell Membrane Capacitance

cell membranes have a capacitance of approximately 1 µF/cm² so the capacitance of a cell increases with membrane surface area

Ion Flux

current can travel across the membrane through conductors (or resistors) in the membrane (ie. ion channels)

Channel Permeability

- channels are selectively permeable to specific ion species

Flow of Ions...

creates currents



(no ion gradient = no voltage difference and no current flow)

Ion Transporters

- actively move ions against concentration gradient


- create ion concentration gradients

Ion Channels

- allow ions to diffuse down concentration gradient


- cause selective permeability to certain ions

Cloride Intracellular Concentrations in Mammalian Neurons

varies considerably more than other ions (7-50 mM)

Equilibrium Potential

- the potential at which the net flux of ions into and out of the cell are equal


- the current for an ion at the equilibrium potential will be 0

The Nernst Equation

V or Ex = (RT)/(zF) ln[CO/CI]



V or Ex: the equilibrium potential


C: the concentration of the ion (I=inside, O=out)


R: the gas constant [2 (cal)/(mol K)]


T: temperature (K)


F: Faraday's constant [23000 (cal)/(V mol)


z: the charge of the ion

The Nernst Equation at 37° C for a Monovalent Cation

V or Ex = 61.5 log[CO/CI]

At a Given Temperature...

RT/F can be treated as a constant

Extracellular/Intracellular Concentrations of Na(+)

extracellular = 145mM


intracellular = 5-15mM

Extracellular/Intracellular Concentrations of K(+)

extracellular = 5mM


intracelluar = 140mM

Extracellular/Intracellular Concentrations of Ca(2+)

extracellular = 1-2mM


intracellular = 0.0001mM (high levels are toxic)

Extracellular/Intracellular Concentrations of Cl(-)

extracellular = 110mM


intracellular = 4-30mM (sits near resting membrane potential, either above or below, carefully dependent on concentrations - very important signalling molecule)

Direction of Flux

For (+) charged ion:


- out of the cell: if membrane potential is more (+) than the equilibrium


- into the cell: if the membrane potential is more (-) than the equilibrium



reverse is true for (-) charged ion

Exceptions to Ohm's Law

If V= the equilibrium potential for K(+) there is no K(+) flowing but there should not be a voltage if I=0

Modification to Ohm's Law

(accounts for concentration gradient)



V - Veq = IR


(V: voltage, Veq: equilibrium potential)



Thus V - Veq = 0 at the equilibrium potential and the further from the equilibrium potential, The larger the current will be for that ion

Current Voltage (IV) Plot

lines cross the x-axis at the equilibrium potential for the ion that is mediating the current

Effects of Changing Ion Concentrations on the Current Voltage (IV) Plot

changing the concentration of an ion on either side of the membrane will change the equilibrium potential but not the slope

Goldman-Hodgkin-Katz Equation

Vm = (RT/F) ln[ (PNa[Na(+)]O + PK[K(+)]O )/( PNa [Na(+)]I + PK [K(+)]I )



modification of the Nernst equation to include the relative permeabilities (P) of each ion


(at rest relative permeability of K(+) = 40, Na(+) = 1 -- resting membrane potential is dominated by the K(+) equilibrium potential

At Rest the Resting Membrane Potential is Determined By:

K(+) distribution

(3) Determinants of Ion Distribution Across the Membrane

1. the chemical gradient


2. the electrical gradient


3. permeability (conductance)

Maintaining the Resting Membrane Potential

- an active process (requires energy)


- maintains gradients using sodium-potassium pump (Na(+)/K(+) ATPase): 3 Na(+) in, 2 K(+) out


- not an equilibrium potential because it relies on the constant expenditure of energy (ATP) by ion pumps for its maintenance

What Results in Action Potentials?

action potentials are the result of increasing a cell's permeability to Na(+) and K(+)



(molecular properties of these ion's channels underlie the shape of action potentials)