|
\( {\phi}_T\left(\overline{x},t\right) \)
|
Tumor cell volume fraction
|
Measured from DW-MRI
|
|
\( {\phi}_V\left(\overline{x},t\right) \)
|
Blood volume fraction
|
Measured from DCE-MRI
|
|
kp,T
|
Tumor cell proliferation rate
|
Calibrated
|
|
\( {\theta}_{T,V}\left(\overline{x},t\right) \)
|
Combined \( {\phi}_T \) and \( {\phi}_V \) carrying capacity
|
Calculated
|
|
\( {\theta}_T\left(\overline{x},t\right) \)
|
Tumor cell carrying capacity
|
Calculated Eq. [4]
|
|
DT,0,DV,0
|
\( {\phi}_T \) and \( {\phi}_V \) diffusion coefficients in absence of mechanically coupling
|
Calibrated
|
|
G
|
Shear modulus
|
Literature [34]
|
|
v
|
Poisson’s Ratio
|
Literature [34]
|
|
λ1
|
Coupling Constants
|
Calibrated
|
|
λ2
|
Coupling Constants
|
Set to 1
|
|
\( {\phi}_{V,\mathrm{thresh}} \)
|
Threshold on \( {\phi}_V \) for carrying capacity to decrease
|
Calibrated
|
|
θmax
|
Max carrying capacity
|
Calibrated
|
|
θmin
|
Minimum value for carrying capacity
|
Assigned from DW-MRI
|
|
kp,V
|
Vasculature proliferation rate
|
Calibrated
|
|
kd,V
|
Vasculature death rate
|
Calibrated
|
|
d
|
Distance top the periphery of the tumor
|
Calculated
|
|
θV
|
Maximum blood volume
|
Assigned from DCE-MRI
|
|
αI
|
Treatment efficacy (immediate effect)
|
Calibrated
|
|
αLT
|
Treatment efficacy (long term effect)
|
Calibrated
|
|
Dose
|
Treatment dose (in Gy)
|
Assigned
|
|
α
|
Radiosensitivity Parameters
|
Calibrated
|
|
β
|
Radiosensitivity Parameter
|
Assigned
|
|
\( \overline{\phi_{V, pre- treatment}} \)
|
Average pre-treatment\( {\phi}_V\left(\overline{x},t\right) \)
|
Calculated
|
