D’YOUVILLE COLLEGE BIOLOGY 659 - INTERMEDIATE PHYSIOLOGY I MEMBRANE PHYSIOLOGY Lecture 5: Electrical Properties of Membranes, Action Potential (chapter 5) 1. Membrane Potentials: • diffusion potentials: two particular ions display concentration gradients across cell membrane of excitable cells: sodium is 10x more concentrated outside than inside; potassium is 30 - 35x more concentrated inside than outside (chloride is 10 - 25x more concentrated outside) (fig. 4 – 1 & ppt. 1) - these disparities are largely maintained by Na+/K+ pump & result in leakages – potassium outward, sodium (& chloride) inward; leakages produce diffusion potentials (electrical gradients that oppose chemical gradients produce electrochemical equilibria); potentials can be measured with minute electrodes & a sensitive voltmeter (fig. 5 – 2 & ppt. 2) - studies of these leakages (using membrane patches – fig. 4 – 6 & ppt. 3) have ascertained diffusion potentials for various ions • Nernst equation: defines the diffusion potential (Nernst potential) for a given ion that exactly opposes its chemical gradient at equilibrium = log Ci /Co (ppt. 4) - for sodium: +61 mv.; for potassium : -94 mv. (fig. 5 – 1 & ppt. 5); when the diffusing ion is negative, the + sign is used, when it’s positive, the minus sign is used • Goldman equation: describes collective contributions to membrane potential of potassium, sodium & chloride, accounting for relative permeabilities of each: (ppt. 6) - 61 log CNa+iP Na+ + CK+iP K+ + CCl-oP ClCNa+oP Na+ + CK+oP K+ + CCl-iP Cl- Bio 659 2. - p. 2 - Resting Potential: • polarized membrane: inside more negatively charged than outside (inside large nerve fibers , -70 to -90 mv.) • significance of sodium-potassium pump: electrogenic, since 3 sodium ions are pumped out for every 2 potassium ions pumped in (fig. 5 – 4 & ppt 7) Bio 659 - p. 3 - • sodium & potassium diffusion (K+/Na+ leak channels): permeability for potassium is about 100x that for sodium • relative contributions (fig. 5 – 5 & ppt. 8): potassium leakage (Nernst potential = -94 mv.) accounts for majority of membrane potential because of high chemical gradient and high permeability - sodium leakage (Nernst potential = +61 mv.) has smaller chemical gradient and has lower permeability constant; sodium leakage combined with that of potassium, results in membrane potential of -86 mv. - chloride leakage evidently has negligible influence on membrane potential - Na+/K+ pump (electrogenic) contributes -4 mv.; resultant -90 mv. 3. Action Potential (AP): • ‘spike’ potential lasting only a few tenths of a millisecond (fig. 5 – 6 & ppt. 9) • threshold: initiation of depolarization is a response to a stimulus (event that causes slight increase in sodium permeability); once voltage level known as threshold is reached, positive feedback mechanism – increasing sodium permeability – causes even greater increase as more and more gated channels open, causing AP • depolarization: sudden increase in sodium permeability produces surge in membrane potential to more positive values (reversal potential of +35 in large nerve fibers); attributable to sodium influx (facilitated by open voltage-gated sodium channels) • repolarization: sudden decrease in sodium permeability followed by increase in potassium permeability produces return of membrane potential to resting value (sometimes to more negative value = hyperpolarization or positive afterpotential); attributable to potassium efflux (due to closure of voltage-gated sodium channels & opening of voltage-gated potassium channels) Bio 659 - p. 4 - • gated channels (fig. 5 – 7 & ppt. 10): using a voltage clamp technique (fig. 5 – 8 & ppt. 11), Nobel prize winners, Hodgkin & Huxley determined that permeability changes were attributable to voltage-gated sodium channels, which opened & then closed abruptly & voltage-gated potassium channels, which opened as sodium channels closed (fig. 5 – 9 & ppt. 12) • graded potentials: many stimuli may cause insufficient depolarization to reach threshold, resulting in transient graded potentials (subthreshold potentials that last a millisecond or longer, but decay before spreading very far (fig. 5 – 18 & ppt. 13) • refractory period: insensitivity of depolarized membrane to further stimulation results from inactivation of voltage-gated sodium channels; further stimulation elicits new AP only after repolarization (about 0.4 ms) • all-or-none principle: as long as membrane’s threshold is reached, action potential of same duration and amplitude results; this ensures propagation of AP without decrement • propagation of AP: (= nerve or muscle impulse); depolarization of AP excites adjacent membrane to reach threshold and fire additional APs (fig. 5 – 11 & ppt. 14); myelinization of axons (extensive wrapping of Schwann cell membranes) promotes more rapid and energy-efficient propagation (saltatory conduction via nodes of Ranvier) (figs. 5 – 16, 5 – 17 & ppts. 15 & 16)