# Theory and ApplicationsTransport through a cell membrane

## Problem 1AAE Chapter 9

Thomas' Calculus: Early Transcendentals | 13th Edition

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Problem 1AAE

Theory and Applications

Transport through a cell membrane Under some conditions, the result of the movement of a dissolved substance across a cell’s membrane is described by the equation

In this equation, y is the concentration of the substance inside the cell and dy/dt is the rate at which y changes over time. The letters k, A, V, and c stand for constants, k being the permeability coefficient (a property of the membrane), A the surface area of the membrane, V the cell’s volume, and c the concentration of the substance outside the cell. The equation says that the rate at which the concentration changes within the cell is proportional to the difference between it and the outside concentration.

a. Solve the equation for y(t), using y0 to denote y(0).

b. Find the steady-state concentration,

Step-by-Step Solution:
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Lecture 4- Biomembrane Structure and Function 1/24/17 10:54 AM Cell membrane • Without a cell membrane, there is no cell because the cell cannot survive • Cell membrane- keeps the outside out and the inside in • Each organelle is surrounded by their own membrane o Distinct due to different proteins that they...

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