Biochemical Reactions and Enzyme Kinetics - Introduction to Biomedical Engineering - page 507

26. Given the model in Figure 8.15 with q A i ð 0 Þ¼ 30, q B i ð 0 Þ¼ 15, q A o ð 0 Þ¼ 20, C oi ¼ 3, C io ¼ 0 : 2,

D io ¼ 2, D oi ¼ 0 : 1, K ¼ 2, and K 1 ¼ 0 : 5, assume that there is flow of q A into the exterior of

1

the cell equal to 3 u ð t Þ , and a production of q B i inside the cell equal to u ð t Þ: All other initial

conditions are zero. Simulate the solution for all quantities.
27. Given the model in Figure 8.15 with q A i ð 0 Þ¼ 10, q B i ð 0 Þ¼ 25, q A o ð 0 Þ¼ 10, C oi ¼ 5, C io ¼ 1,

D io ¼ 4, D oi ¼ 0 : 1, K 1 ¼ 3, and K 1 ¼ 1, assume that there is flow of q A into the exterior of the

cell equal to 5 u ð t Þ , and a production of q B i inside the cell equal to 2 u ð t Þ: All other initial

conditions are zero. Simulate the solution for all quantities.
28. Given the model in Figure 8.15 with

q A i ð 0 Þ¼ 20, q B i ð 0 Þ¼ 5, q A o ð 0 Þ¼ 30, C oi ¼ 10, C io ¼ 0 : 2,

D io ¼ 6, D oi ¼ 0 : 1, K 1 ¼ 5, and K 1 ¼ 0 : 2, assume that there is flow of q A into the exterior of

the cell equal to 5 u ð t Þ , and a production of q B i inside the cell equal to 2 u ð t Þ: All other initial

conditions are zero. Simulate the solution for all quantities.
29. Given the model in Figure 8.19 with q S i ð 0 Þ¼ 10, q E ð 0 Þ¼ 0 : 25, q S o ð 0 Þ¼ 10, B oi ¼ 4, B io ¼ 0 : 5,

D io ¼ 5, D oi ¼ 0 : 05, K 2 ¼ 0 : 5, K 1 ¼ 5, and K 1 ¼ 0 : 5, assume that there is flow of q S into the

exterior of the cell equal to 5 u ð t Þ: All other initial quantities are zero. Simulate the solution for

all quantities.
30. Given the model in Figure 8.19 with q S i ð 0 Þ¼ 50, q E ð 0 Þ¼ 2, q S o ð 0 Þ¼ 70, B oi ¼ 2, B io ¼ 0 : 1, D io ¼

4, D oi ¼ 0 : 1, K 2 ¼ 5, K 1 ¼ 8, and K 1 ¼ 0 : 1, assume that there is flow of q S into the exterior

of the cell equal to 8 u ð t Þ: All other initial quantities are zero. Simulate the solution for all

quantities.
31. Given the model in Figure 8.19 with q S i ð 0 Þ¼ 25, q E ð 0 Þ¼ 0 : 25, q S o ð 0 Þ¼ 10, B oi ¼ 10, B io ¼ 0 : 5,

D io ¼ 10, D oi ¼ 1, K 2 ¼ 10, K 1 ¼ 3, and K 1 ¼ 0 : 5, assume that there is flow of q S into the

exterior of the cell equal to 10 u ð t Þ: All other initial quantities are zero. Simulate the solution

for all quantities.
32. Given the model in Figure 8.21 with q S i ð 0 Þ¼ 15, q C o ð 0 Þ¼ q C i ð 0 Þ¼ 5, q S o ð 0 Þ¼ 10, K 2 ¼ 4,

K 1 ¼ 2, and K 1 ¼ 0 : 5, assume that there is flow of q S into the exterior of the cell equal

All other initial quantities are zero. Simulate the solution for all quantities.
33. Given the model in Figure 8.21 with

to 4 u ð t Þ:

q S i ð 0 Þ¼ 25, q C o ð 0 Þ¼ q C i ð 0 Þ¼ 8, q S o ð 0 Þ¼ 20, K 2 ¼ 7,

K 1 ¼ 5, and K 1 ¼ 0 : 1, assume that there is flow of q S into the exterior of the cell equal

All other initial quantities are zero. Simulate the solution for all quantities.
34. Given the model in Figure 8.21 with

to 10 u ð t Þ:

q S i ð 0 Þ¼ 35, q C o ð 0 Þ¼ q C i ð 0 Þ¼ 4, q S o ð 0 Þ¼ 50, q P o ð 0 Þ¼ 0,

K 2 ¼ 3, K 1 ¼ 1, and K 1 ¼ 0 : 01, assume that there is flow of q S into the exterior of the cell

Simulate the solution for all quantities.
35. Simulate the model in Eqs. (8.114) and (8.115) given that

equal to 15 u ð t Þ:

q S ð 0 Þ¼ 10, q E ð 0 Þ¼ 0 : 1, K 1 ¼ 4, K 1 ¼

All other initial quantities are zero.
36. Simulate the model in Eqs. (8.114) and (8.115) given that

0 : 2, K 2 ¼ 3, K 3 ¼ 2, K 3 ¼ 0 : 01, K 4 ¼ 1, and q I ð 0 Þ¼ 3 :

q S ð 0 Þ¼ 20, q E ð 0 Þ¼ 0 : 01, K 1 ¼ 6,

K 1 ¼ 0 : 1, K 2 ¼ 10, K 3 ¼ 5, K 3 ¼ 0 : 05, K 4 ¼ 7, and q I ð 0 Þ¼ 5 : All other initial quantities are

zero.
37. Simulate the model in Eqs. (8.114) and (8.115) given that

q S ð 0 Þ¼ 30, q E ð 0 Þ¼ 0 : 1, K 1 ¼ 10,

K 1 ¼ 0 : 1, K 2 ¼ 3, K 3 ¼ 7, K 3 ¼ 0 : 09, K 4 ¼ 9, and q I ð 0 Þ¼ 8 : All other initial quantities are

zero.

Continued