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Your search keyword '"Li, Dongxi"' showing total 2 results
Start Over Author "Li, Dongxi" Topic cancer cells
2 results on '"Li, Dongxi"'

1. Threshold for extinction and survival in stochastic tumor immune system.

Author

Li, Dongxi and Cheng, Fangjuan

Subjects
*STOCHASTIC systems, *TUMOR immunology, *TUMOR growth, *MICHAELIS-Menten equation, *CANCER cells, *IMMUNE system
Abstract

This paper mainly investigates the stochastic character of tumor growth and extinction in the presence of immune response of a host organism. Firstly, the mathematical model describing the interaction and competition between the tumor cells and immune system is established based on the Michaelis-Menten enzyme kinetics. Then, the threshold conditions for extinction, weak persistence and stochastic persistence of tumor cells are derived by the rigorous theoretical proofs. Finally, stochastic simulation are taken to substantiate and illustrate the conclusion we have derived. The modeling results will be beneficial to understand to concept of immunoediting, and develop the cancer immunotherapy. Besides, our simple theoretical model can help to obtain new insight into the complexity of tumor growth. [ABSTRACT FROM AUTHOR]

Published
2017
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2. Fluctuations induced extinction and stochastic resonance effect in a model of tumor growth with periodic treatment

Author

Li, Dongxi, Xu, Wei, Guo, Yongfeng, and Xu, Yong

Subjects
*STOCHASTIC models, *TUMOR growth, *RESONANCE, *ENZYME kinetics, *SIGNAL-to-noise ratio, *EXTINCTION (Psychology), *CANCER cells, *THERAPEUTICS
Abstract

Abstract: 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. [ABSTRACT FROM AUTHOR]

Published
2011
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