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

Table 2 Model parameters for rat rhabdomyosarcoma experiment data: the proposed model^a

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
T_d(0)	days	1.35	1.35	1.35	1.35	1.35
θ		0.72	0.72	0.74	0.795	0.838
T_cl	days		4	4	4	4
N		11	11	19	18	14
MSD^b		0.01883	0.01099	0.00816	0.00832	0.03039
AIC^c		−59.76	−66.00	−137.31	−128.23	−75.86
S^d		1.00E + 00	9.83E-01	2.84E-01	5.38E-02	4.51E-03

^aInitial volume = 0.0157 cm³. The radiation was turned on at the 11^th day. The following model parameters were set constant: α/β = 10 Gy, active radiation-effect time τ_rad = 8 days, cell cycle time T_cc = 1 day, colony counting time T_m = 10 days
^bMean square of difference between the experimental data and the model estimated volumes
^cAIC defined by Eq.(33) with k = 5. The number of data points, N, is shown in the table
^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