According to Fick’s law, the diffusion of a solute across a cell membrane is given by

where A is the area of the cell membrane, V is the volume of the cell, c(t) is the concentration inside the cell at time t, C is the concentration outside the cell, and k is a constant. If c₀ represents the concentration of the solute inside the cell when t = 0, then it can be shown that

(a) Use the last result to find c′(t).
(b) Substitute back into Equation (1) to show that (2) is indeed the correct antiderivative of (1).

Transcribed Image Text:

c'(t) = = ΚΑ V [C - c(t)], (1)