Use the approach demonstrated in class to find the oxygen co

Use the approach demonstrated in class to find the oxygen concentration distribution in the coupled membrane/cytoplasm for cylindrical geometry (matching conditions at the boundary) to determine the oxygen concentration in the cytoplasm at the cytoplasm-membrane interface. What happens to the oxygen concentration at the cytoplasm-membrane interface as the membrane shrinks to zero thickness? Show how you obtained your answer.

Solution

a)The oxygen concentration in the cytoplasm can be determined by the fick\'s law of diffusion

J=DC,

where the J is defined as the net flux of particles.On the other hand D is the diffusion coefficient, and C is the concentration of the oxygen we need to find as a function of position and time

b)The oxygen concentration becomes less and keeps reducing as the thickness of membrane becomes zero.This is because thickness is directly proportional to the concentration of oxygen.