Modelling non-homogeneous stochastic reaction-diffusion systems: the case study of gemcitabine-treated non-small cell lung cancer growth

Table 1 values of parameters and variables in the three models.

Variable	Model 1	Model 2	Model 3
Nr. of tumor cell per mesh	2547	100	2457
Amount of gemcitabine per mesh	1 μg	1 μg	10 μg ^*
Amount of glucose per mesh	792 μg	-	-
Amount of oxygen per mesh	3 μg	-	-
Parameter	Model 1	Model 2	Model 3
Gemcitabine infusion rate (k₀)	0.56 pg/sec	-	-
Gemcitabine degradation (k₁)	2.78 × 10^-5 sec^-1	-	-
Gemcitabine efficacy (k₂)	8.33 × 10^-7 (mm · sec) ^-1	-	-
Rate constant of resistance appearance (k₃)	2.78 × 10^-8	-	-
Tumor growth rate (k₄)	5.56 × 10^-5 mm/sec	-	-
Glucose uptake rate constant(k₅)	10.4 pg/sec	0.0104 pg/sec	10.4 pg/sec
Oxygen uptake rate constant (k₆)	0.16 pg/sec	-	-
Tumor turnover (k₇)	218 mm · week	-	-
Molecular weight of gemcitabine	0.29966 kD	-	-
Molecular weight of gslucose	0.18016 kD	-	-
Molecular weight of oxygen	0.01801528 kD	-	-

k₀, k₁, k₅, k₆, and k₇ have been reported from the literature, whereas k₂ and k₃ has been estimated with KInfer [38] from the tumor growth curve of 56 patients provided by the experiments of Tham et al. [18].
The estimate of k₂ and k₃ is an average of 56 estimates, and is affected by a standard deviation of 6.23 × 10^-7 (mm · sec)^-1. The symbol "- " means that the value of the parameter or variable is unchanged.
^* This dose correspond to 10,600 mg body concentration of drug (optimal dose estimated in [18].

ISSN: 1471-2105