Table 1 Model state variables and parameters.
From: A mathematical model of tumor regression and recurrence after therapeutic oncogene inactivation
Description (units) | |
|---|---|
State variable | |
NOn(t) | Number of drug-sensitive cancer cells in On state |
NOff(t) | Number of drug-sensitive cancer cells in Off state |
NEsc(t) | Number of drug-resistant cancer cells in Escaped state |
NTotal(t) | Number of cancer cells in all states |
SOn(t) | Optical signal (total flux) of drug-sensitive cancer cells in On state (photon/s) |
SOff(t) | Optical signal (total flux) of drug-sensitive cancer cells in Off state (photon/s) |
SEsc(t) | Optical signal (total flux) of drug-resistant cancer cells in Escaped state (photon/s) |
STotal(t) | Optical signal (total flux) of cancer cells in all states (photon/s) |
Parameter | |
kgr,On | Growth rate of drug-sensitive cancer cells in On state (day-1) |
kdeath,On | Death rate of drug-sensitive cancer cells in On state (day-1) |
knetgr,On | Net-growth rate of drug-sensitive cancer cells in On state (day-1) |
kgr,Off | Growth rate of drug-sensitive cancer cells in Off state (day-1) |
kdeath,Off | Death rate of drug-sensitive cancer cells in Off state (day-1) |
knetdeath,Off | Net-death rate of drug-sensitive cancer cells in Off state (day-1) |
kgr,Esc | Growth rate of drug-resistant cancer cells in Escaped state (day-1) |
kdeath,Esc | Death rate of drug-resistant cancer cells in Escaped state (day-1) |
knetgr,Esc | Net-growth rate of drug-resistant cancer cells in Escaped state (day-1) |
kEsc,On | Rate of escape of On cells to Escaped state (day-1) |
kEsc,Off | Rate of escape of Off cells to Escaped state (day-1) |
kesc | Generalized rate of escape of drug-sensitive cells to Escaped state (day-1) |
koff | Rate of oncogene inactivation (day-1) |
NOn(0) | Initial number of drug-sensitive cancer cells in On state |
NOff(0) | Initial number of drug-sensitive cancer cells in Off state |
NEsc(0) | Initial number of drug-resistant cancer cells in Escaped state |
NTotal(0) | Initial number of cancer cells in all states |
SOn(0) | Initial optical signal (total flux) of drug-sensitive cancer cells in On state (photon/s) |
SOff(0) | Initial optical signal (total flux) of drug-sensitive cancer cells in Off state (photon/s) |
SEsc(0) | Initial optical signal (total flux) of drug-resistant cancer cells in Escaped state (photon/s) |
STotal(0) | Initial optical signal (total flux) of cancer cells in all states (photon/s) |
