Biomedical Engineering Reference
In-Depth Information
D C ¼ j C
C
j
1
2
e. What is the percentage change in concentration,
, across the effective growth
C 0
cone radius—for example, R gc þ l
—as a function of
r 1 and
r 2 and consequently
b 1 ?
b 1 max , for which
f. What is
is maximum? Plot the gradient change for the entire range of
b 1 for filopodial lengths of 1, 5, and 8
D C
m compared to no filopodia.
g. The limit for chemosensing ability is a concentration difference of 2 percent. For a target
cell 500
m
m away, what is the effect of filopodial length on enhancing chemosensing
ability? Calculate for
m
b 1 max .
2
t
DR o
C 0 ¼ P r R
S r
4p R
,
P r ¼
2
t
10 6 cm 2
D
¼
=
s and S r ¼
5,000 molecules
=
cell
=
s
:
R 0 ¼
R
R gc
30 :
R t ¼
20
m
m, R gc ¼
2
:
5
m
m, a ¼
1
r gc
α
β 2
β 1
r 2
Growth Cone
R
r 1
θ
R t
Target Cell
10. A coaxial bioreactor has been developed to mimic the liver acinus (see the following figure) .
a. Knowing the dimensions of the acinus (shown in figure above), what should be the
distance between the two fibers?
b. Knowing what you've learned about biological aspects, what types of cells and soluble
and insoluble factors would you choose to induce an environment of cell growth? What
types of cells and soluble and insoluble factors would you choose to induce an
environment of cell differentiation?
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