Research Article

Computational Simulation of Tumor Surgical Resection Coupled with the Immune System Response to Neoplastic Cells

Table 1

Parameters defining a competent and an incompetent immune system for a given tumor (modified from [13]).

ParameterUnitsMeaningCompetentIncompetent

Day−1Tumor growth rate5.14 × 10−15.14 × 10−1
Cell−1 is tumor carrying capacity1.02 × 10−91.02 × 10−9
Cell−1 day−1Fractional tumor cell kill by NK cells3.23 × 10−73.23 × 10−7
Day−1Saturation level of fractional tumor cell kill by TCD8 cells5.85.8
NoneExponent of fractional tumor cell kill by TCD8 cells1.361.36
NoneSteepness coefficient of the tumor-TCD8 cells competition2.52.5
Cells day−1Constant source of NK cells1.3 × 1041.3 × 104
Day−1Death rate of NK cells4.12 × 10−24.12 × 10−2
Day−1Maximum NK cell recruitment rate by tumor cells2.5 × 10−22.5 × 10−2
Cell2Steepness coefficient of the NK cell recruitment curve2.02 × 1072.02 × 107
Cell−1 day−1NK cell inactivation rate by tumor cells1.0 × 10−71.0 × 10−7
Day−1Death rate of TCD8 cells2.0 × 10−22.0 × 10−2
Day−1Maximum TCD8 cell recruitment rate3.75 × 10−23.75 × 10−2
Cell2Steepness coefficient of the TCD8 cell recruitment curve2.0 × 1072.0 × 107
Cell−1 day−1TCD8 cell inactivation rate by tumor cells3.42 × 10−103.42 × 10−10
Cell−1 day−1Rate at which tumor-specific TCD8 cells are stimulated to be produced as a result of tumor cells killed by NK cells1.1 × 10−71.1 × 10−7
CellsInitial number of tumor cells100100
CellsInitial number of NK cells200200
CellsInitial number of TCD8 cells1000100