TY - JOUR
T1 - Fluctuations induced extinction and stochastic resonance effect in a model of tumor growth with periodic treatment
AU - Li, Dongxi
AU - Xu, Wei
AU - Guo, Yongfeng
AU - Xu, Yong
PY - 2011/1/31
Y1 - 2011/1/31
N2 - We investigate a stochastic model of tumor growth derived from the catalytic Michaelis-Menten reaction with positional and environmental fluctuations under subthreshold periodic treatment. Firstly, the influences of environmental fluctuations on the treatable stage are analyzed numerically. Applying the standard theory of stochastic resonance derived from the two-state approach, we derive the signal-to-noise ratio (SNR) analytically, which is used to measure the stochastic resonance phenomenon. It is found that the weak environmental fluctuations could induce the extinction of tumor cells in the subthreshold periodic treatment. The positional stability is better in favor of the treatment of the tumor cells. Besides, the appropriate and feasible treatment intensity and the treatment cycle should be highlighted considered in the treatment of tumor cells.
AB - We investigate a stochastic model of tumor growth derived from the catalytic Michaelis-Menten reaction with positional and environmental fluctuations under subthreshold periodic treatment. Firstly, the influences of environmental fluctuations on the treatable stage are analyzed numerically. Applying the standard theory of stochastic resonance derived from the two-state approach, we derive the signal-to-noise ratio (SNR) analytically, which is used to measure the stochastic resonance phenomenon. It is found that the weak environmental fluctuations could induce the extinction of tumor cells in the subthreshold periodic treatment. The positional stability is better in favor of the treatment of the tumor cells. Besides, the appropriate and feasible treatment intensity and the treatment cycle should be highlighted considered in the treatment of tumor cells.
KW - Fluctuations induced extinction
KW - Model of tumor growth
KW - Stochastic resonance
UR - http://www.scopus.com/inward/record.url?scp=78651351866&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2010.12.066
DO - 10.1016/j.physleta.2010.12.066
M3 - 文章
AN - SCOPUS:78651351866
SN - 0375-9601
VL - 375
SP - 886
EP - 890
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 5
ER -