Biomedical Engineering Reference
In-Depth Information
38.
Simulate the model in Eq. (8.124) given that
q
S
ð
0
Þ¼
30,
q
E
ð
0
Þ¼
0
:
1,
q
M
¼
10,
K
1
¼
10,
K
1
¼
0
:
1,
K
2
¼
3,
K
¼
3,
K
3
¼
0
:
1,
K
¼
2,
K
4
¼
0
:
1,
K
¼
5,
K
¼
1, and
K
6
¼
5
:
All other initial
3
4
5
6
quantities are zero.
39.
Simulate the model in Eq. (8.124) given that
q
S
ð
0
Þ¼
20,
q
E
ð
0
Þ¼
0
:
01,
q
M
¼
20,
K
1
¼
5,
K
1
¼
1,
K
2
¼
7,
K
3
¼
3,
K
3
¼
10,
K
4
¼
0
:
2,
K
4
¼
0
:
001,
K
5
¼
1,
K
6
¼
6, and
K
6
¼
0
:
5
:
All other
initial quantities are zero.
40.
Simulate the model in Eq. (8.124) given that
q
S
ð
0
Þ¼
10,
q
E
ð
0
Þ¼
0
:
1,
q
M
¼
40,
K
1
¼
7,
K
1
¼
1,
K
2
¼
5,
K
3
¼
1,
K
3
¼
5,
K
4
¼
2,
K
4
¼
0
:
1,
K
5
¼
2,
K
6
¼
2, and
K
6
¼
5
:
All other initial
quantities are zero.
41.
Simulate the model in Eq. (8.133) given that
q
S
ð
0
Þ¼
50,
q
E
ð
0
Þ¼
7,
K
1
¼
0
:
001,
K
1
¼
0
:
00001,
K
2
¼
0
:
1,
K
3
¼
0
:
05,
K
3
¼
0
:
00002, and
K
4
¼
0
:
3
:
All other initial quantities are zero.
42.
Simulate the model in Eq. (8.133) given that
q
S
ð
0
Þ¼
50,
q
E
ð
0
Þ¼
7,
K
1
¼
1,
K
1
¼
0
:
2,
K
2
¼
0
:
1,
K
3
¼
0
:
01,
K
3
¼
0
:
4, and
K
4
¼
0
:
02
:
All other initial quantities are zero.
Suggested Readings
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Minneapolis, 1979.
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G.E. Briggs, J.B.S. Haldane, A note on the kinetics of enzyme action, Biochem. J. 19 (1925) 338-339.
N.F. Britton, Essential Mathematical Biology, Springer, London, 2003.
M.B. Cutlip, M. Shacham, Problem Solving in Chemical and Biochemical Engineering with POLYMATH, Excel,
and MATLAB, second ed., Prentice Hall, Upper Saddle River, NJ, 2008.
L. Edelstein-Keshet, Mathematical Models in Biology, SIAM, New York, 2005.
K. Godfrey, Compartmental Models and Their Applications, Academic Press, San Diego, California, 1983.
A.C. Guyton, Textbook of Medical Physiology, eighth ed., W.B. Saunders Company, Philadelphia, 1991.
V. Henri, Lois G´n´rales de l'Action des Diastases, Hermann, Paris, 1903.
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R.B. Northrop, A.N. Connor, Introduction to Molecular Biology, Genomics and Proteomics for Biomedical Engi-
neers, CRC Press, Boca Raton, FL, 2009.
R.B. Northrop, Endogenous and Exogenous Regulation and Control of Physiological Systems, CRC Press, Boca
Raton, FL, 1999.
S.I. Rubinow, Introduction to Mathematical Biology, Dover Publications, Mineola, NY, 2002.
W.M. Saltzman, Biomedical Engineering, Bridging Medicine and Technology, Cambridge University Press, NY,
2009.
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207-212.
M.L. Shuler, F. Kargi, Bioprocess Engineering, Basic Concepts, second ed., Prentice Hall, Upper Saddle River, NJ,
2008.
G.A. Truskey, F. Yuan, D.F. Katz, Transport Phenomena in Biological Systems, Pearson, Prentice Hall, Upper Sad-
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