Skip to main content

Table 2 Model parameters for rat rhabdomyosarcoma experiment data: the proposed modela

From: A mathematical model of tumor growth and its response to single irradiation

Parameter\Case Unit Control 1000 2000 3000 4000
α Gy−1   0.30 0.20 0.16 0.145
Dose Gy   10 20 30 40
Td(0) days 1.35 1.35 1.35 1.35 1.35
θ   0.72 0.72 0.74 0.795 0.838
Tcl days   4 4 4 4
N   11 11 19 18 14
MSDb   0.01883 0.01099 0.00816 0.00832 0.03039
AICc   −59.76 −66.00 −137.31 −128.23 −75.86
Sd   1.00E + 00 9.83E-01 2.84E-01 5.38E-02 4.51E-03
  1. aInitial volume = 0.0157 cm3. The radiation was turned on at the 11th day. The following model parameters were set constant: α/β = 10 Gy, active radiation-effect time τrad = 8 days, cell cycle time Tcc = 1 day, colony counting time Tm = 10 days
  2. bMean square of difference between the experimental data and the model estimated volumes
  3. cAIC defined by Eq.(33) with k = 5. The number of data points, N, is shown in the table
  4. dS is the fraction of surviving cells after irradiation. It is not a parameter used in the simulation model. But, it is included in this table to show the degree of cell kill by radiation. See the text for details