________________________________________________
BEH.430/2.795//6.561/10.539/HST.544
Homework Set 2
Handed out: Wednesday Sept. 22, 2004
Due: Wednesday, Sept 29 by 5pm
________________________________________________
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Problem 2.1:
Transient Diffusion across Tissue Membrane (No Reaction)
(a) This problem focuses on the use of Separation of Variables to solve for the evolution
of the spacetime concentration profile of IGF1, c(x,t), inside a section of tissue having length L
(i.e., 1D profile). As stated in class, the boundary conditions are c(0,t) = c’; c(L,t) = c”; and the
initial condition is c(x, 0) = 0. You are asked to carry through the details of the solution, and to
derive in detail the coefficients of all the terms in the Fourier series, showing all the steps that
yield the final analytical expression for c(x,t) written in lecture and on the overhead (posted with
the lecture overheads). You can assume in part (a) that the partition coefficient valid at x = 0 and
x = L is K = 1.
(b) Suppose K
≠
1 (e.g., for the case in class, K = 1.4). Will this affect the kinetics of the
diffusion transient? State your reasoning. Write the answer given in (a) above but now including
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '03
 RogerD.Kamm
 Radioactive Decay, Exponential decay, right hand

Click to edit the document details