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BEH.430/2.795//6.561/10.539/HST.544
Homework Set 3
Handed out: Friday, Oct. 1, 2004
Due: Friday, Oct. 8 by 5pm
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View Full DocumentProblem 3.1 – Boyden Chamber Assay
Consider the popular Boyden chamber assay for measuring leukocyte chemotactic response to a
chemoattractant, in which a quasisteadystate linear attractant concentration gradient is established for
a number of hours across a porous matrix (see motivating paper, Schagat, T. L. et al. "Surfactant protein
A differentially regulates peripheral and inflammatory neutrophil chemotaxis." Am J Physiol Lung Cell
Mol Physiol 284 (2003): L140–L147.)
The matrix is situated between two reservoirs of media at the top and bottom of
volumes V
t
and V
b
, respectively. The cells are placed on the top of the matrix to migrate from there
(x=0) to the bottom (x=L).
The cell density at the top of the matrix is sufficiently great that it remains
approximately constant, C
0
. Upon reaching the bottom of the matrix, the cells quickly fall off onto a
filter paper. Thus, the number of cells collected on the filter over any desired time period can be
counted. The experiment can be run with an attractant gradient of any magnitude, either from bottom
totop or toptobottom, or with no gradient at all (i.e., with uniform attractant concentration of any
level across the matrix).
a)
Set up the appropriate leukocyte density conservation equation and boundary/initial conditions
to model this assay presuming that the experiment will be conducted largely during the time
period during which the attractant concentration gradient is roughly steady.
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 Spring '03
 RogerD.Kamm
 attractant concentration, Boyden Chamber Assay, attractant concentration gradient

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