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Table 1 Parameters and values used in extracellular drug transport and uptake.

From: A systems-based mathematical modelling framework for investigating the effect of drugs on solid tumours

Parameter

Symbol

Value

Reference

Free DOX diff. coefficient

kd

0.568 mm[2]/hr

[2]

Bound DOX diff. coefficient

kdb

0.032 mm[2]/hr

[2]

Rate of transmembrane transport

V1, V2

(V1 = V2)

0.28 ng/(105 cells)/min

[4]

Michaelis constant for transmembrane transport

k1

0.219 μg/ml

[4]

Michaelis constant for transmembrane transport

k2

1.37 ng/(105 cells)

[4]

Free DOX-albumin binding rate

k3

3000 hr-1

[2]

DOX-albumin dissociation rate

k4

1000 hr-1

[2]

Initial tumour cell density

Ct,0

106 cells/mm3

[2]

Tumour cell growth rate

a1

0.5 day-1

Estimated

Saturation constant in logistic equation

b

0.02592 mm3/(105 cells)/day

Estimated

Tumour cell natural decay rate

a2

0.24 day-1

Estimated

Tumour capillary radius

RC

10 μm

[2]

Tumour cord radius

RT

120 μm

[2]

  1. Doxorubicin (DOX) is chosen as the anti-cancer drug for parameterization purpose.