BIOLOGY 3P03 Lecture 3: Membrane Potential Ionic Steady State

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If membrane permeabilities and ion concentration gradients are known how do we calculate. With the goldman voltage equation/ constant-field equation. Ghk equation is a (cid:858) teady tate(cid:859) e(cid:395)uatio(cid:374) It(cid:859)s easie(cid:396) to (cid:373)easu(cid:396)e (cid:396)elati(cid:448)e (cid:396)athe(cid:396) tha(cid:374) a(cid:271)solute pe(cid:396)(cid:373)ea(cid:271)ilities eq. can often be written. Question: what happens if the cell is highly permeable to k+ relative to other ions: ghk equation collapses into nernst equation for k+ Deriving goldman equation: total flux t of each ion has 2 components. = number of ions per second per unit area of membrane. C = flux due to ion concentration gradient. For (cid:373)a(cid:374)(cid:455) (cid:374)er(cid:448)e (cid:272)ells, cl is (cid:448)er(cid:455) i(cid:373)porta(cid:374)t. but for (cid:373)a(cid:374)(cid:455) others, it is(cid:374)"t: substituting in modified goldman equation and assuming ki = 125 mm, ko = 5mm, nai = 12 mm, nao = (cid:1005)(cid:1006)(cid:1004) (cid:373)m; get (cid:396)esti(cid:374)g o(cid:396) (cid:858)steady state(cid:859) (cid:373)e(cid:373)(cid:271)(cid:396)a(cid:374)e pote(cid:374)tial: em = -71 mv (for these conditions: note: ek = -81 mv (nerst eq.

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