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时滞Bobwhite Quail模型的全局吸引性
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作者 陈安平 《郴州师专学报》 1996年第4期18-21,共4页
本文考虑时滞差分方程(1)的全局吸引性,这里ι是正整数K∈(0,∞)并且。部分地回答了文献[1]中提出的公开问题11.1.(b),获得了方程(1)的一切解{x_n}收敛于正平衡常数的充分条件。
关键词 时滞差分方程 全局吸引性 差分方程 振动性
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A mathematical model of combined therapies against cancer using viruses and inhibitors
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作者 TAO YouShan GUO Qian 《Science China Mathematics》 SCIE 2008年第12期2315-2329,共15页
This paper deals with a procedure for combined therapies against cancer using oncolytic viruses and inhibitors. Replicating genetically modified adenoviruses infect cancer cells, reproduce inside them and eventually c... This paper deals with a procedure for combined therapies against cancer using oncolytic viruses and inhibitors. Replicating genetically modified adenoviruses infect cancer cells, reproduce inside them and eventually cause their death (lysis). As infected cells die, the viruses inside them are released and then proceed to infect other tumor cells. The successful entry of virus into cancer cells is related to the presence of the coxsackie-adenovirus receptor (CAR). Mitogen-activated protein kinase kinase (known as MEK) inhibitors can promote CAR expression, resulting in enhanced adenovirus entry into cancer cells. However, MEK inhibitors can also cause G1 cell-cycle arrest, inhibiting reproduction of the virus. To design an effective synergistic therapy, the promotion of virus infection must be optimally balanced with inhibition of virus production. We introduce a mathematical model to describe the effects of MEK inhibitors and viruses on tumor cells, and use it to explore the reduction of the tumor size that can be achieved by the combined therapies. Furthermore, we find an optimal dose of inhibitor: Poptimal = 1 - μ/δ for a certain initial density of cells (where μ is the removal rate of the dead cells and δ is the death rate of the infected cells). The optimal timing of MEK inhibitors is also numerically studied. 展开更多
关键词 TUMORS ONCOLYTIC viruses MEK INHIBITORS MATHEMATICAL modeling
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