Ps3(1) - Harvard-MIT Division of Health Sciences and Technology HST.542J Quantitative Physiology Organ Transport Systems Instructors Roger Mark and

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY Departments of Electrical Engineering, Mechanical Engineering, and the Harvard-MIT Division of Health Sciences and Technology 6.022J/2.792J/BEH.371J/HST542J: Quantitative Physiology: Organ Transport Systems PROBLEM SET 3 Assigned: February 19, 2004 Due: February 26, 2004 Harvard-MIT Division of Health Sciences and Technology HST.542J: Quantitative Physiology: Organ Transport Systems Instructors: Roger Mark and Jose Venegas
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Problem 1 A microelectrode is inserted into a cardiac pacemaker cell, and the (schematized) potential recorded is shown in Figure 1. The intra-cellular and extra-cellular concentrations of sodium and potassium are shown in Table 1. Figure 1: Table 1: [K + ] [Na + ] Inside 100 7 Outside 5 140 Questions: A. Assume that the membrane potential is determined only by the concentrations of Na + and K + and the membrane conductances to these ions, G Na and G K . Show a simple electrical model of the membrane, neglecting membrane capacitance. Label carefully, including polarity conventions and the inside and the outside of the membrane. Express V m , the membrance potential, in terms of Nernst potentials ( V Na , V K ) and membrane conductances. 2 6.022j—2004: Problem Set 3
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RT F log e 60 mV C. Let α be the ratio of conductances of the membrane to potassium and sodium. α
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This note was uploaded on 11/11/2011 for the course BIO 2.797j taught by Professor Matthewlang during the Fall '06 term at MIT.

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Ps3(1) - Harvard-MIT Division of Health Sciences and Technology HST.542J Quantitative Physiology Organ Transport Systems Instructors Roger Mark and

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