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solve the problem Sketch the complete equivalent circuit model for an electrical

ID: 54017 • Letter: S

Question

solve the problem Sketch the complete equivalent circuit model for an electrically small cell and indicate what cell element different circuit elements represent. Calculate the electric field across the membrane if the only voltage applied across the membrane is the resting potential. A typically electrically small and spherical cell has a diameter of 10 mu m (e.g. Jurkat cells) and a per-unit area capacitance of 1 muF/cm2. By inserting an electrode into the cytoplasm, a current of 10 pA is injected. Assuming an ideal insulating cell membrane, calculate how long does it take to bring the resting potential of the cell to zero?

Explanation / Answer

1) Below diagram shows equivalent circuit of the neural cells in the body and its electrical stimulation.

2) Calculation of electric field across the membrane if the only voltage applied across the membrane is resting potential is as follows:

Vm = fsErcos(1-exp(-t/)) + Vrest