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Table 1.

Parameter values for the model

Parameter Estimate
Tumour diffusion coefficient after time 0, D 1 0
Tumour growth rate, λ1 1.4 × 10−7 s−1
Drug killing rate of tumour, k 1 67.9 cm3 µg−1 h−1
Initial size of tumour at point source, N 0 1.19 × 106 cells
Time to grow from point source to presentation, t 0 4.26 × 107 s
Tumour diffusion coefficient before time 0, D 0 1.5 × 10−8 cm2 s−1
Drug killing rate of normal cells, k 2 1.27 × 10−3 cm3µg−1 h−1
Cell density, θ 2.04 × 107 cells cm−3
Tumour convection constant, a 1 267.2
Tissue convection constant, a 2 1.3 × 10−5 cm3 cells−1
Drug loss rate, µ 8.35 × 10−4 s−1
Infusion rate, q 6 µL min−1
Time duration of infusion, T 96 h
Concentration of injected fluid, c 0 9 µg cm−3
Clonogenic fraction of tumour cells, f 1 1.19 × 10−7
Toxic fraction of normal cells, f 2 0.01
Radius for calculating toxicity, R̂ 5 cm