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 space-time concentration profile of IGF-1, c(x,t), inside a section of tissue having len

HST.583: Functional Magnetic Resonance Imaging: Data Acquisition and Analysis, Fall 2008
Harvard-MIT Division of Health Sciences and Technology
Course Director: Dr. Randy Gollub.
HST.583
October 3, 2008
Problem Set #2
Problem 1: Understanding K-space
Desc

Problem 3.1 Boyden Chamber Assay
Consider the popular Boyden chamber assay for measuring leukocyte chemotactic response to a
chemoattractant, in which a quasi-steady-state linear attractant concentration gradient is established for
a number of hours acros

Reading assignment to prepare for these problems: (a) Chapter 1, Section 1.0 to1.3 in the
Grodzinsky text (but you can skip material on Magnetoquasistatics); Read and work examples
1.3.1 to review solutions of Laplaces Equation (for the electrical potenti

BE.430J/6.561J/2.795J/10.539J/HST.544J
Fall 2004
Homework 1
Due Wednesday (9/22) by 5pm
1. Oxygen Diffusion in Cells
a) Oxygen is consumed by cells at a rate which is often nearly independent of the O2
concentration. Assume that a cell is a sphere of radi