EXTENSION OF CELL CYCLE MODEL

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KEYANPOUR MOHAMMAD; AKBARIAN TAHEREH

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Journal: ADVANCES IN MATHEMATICAL MODELING Year:2012 | Volume:2 | Issue:1 Page(s): 97-106

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Information Journal Paper

Title

EXTENSION OF CELL CYCLE MODEL

Author(s)

KEYANPOUR MOHAMMAD | AKBARIAN TAHEREH | Issue Writer Certificate

Keywords

DELAY DIFFERENTIAL EQUATIONSQ3

EQUILIBRIUM POINTQ3

MATHEMATICAL MODELING OF CANCERQ3

LYAPUNOV STABILITY CRITERIONQ3

Abstract

In this paper we consider a delayed mathematical model of cell cycle. Adding drug toxicity, the model is modified and developed. A proper Lyapunov function is suggested for stability analysis. Furthermore, by obtaining a criterion for appropriate control, it is shown that any treatment strategy which satisfies the criterion, causes the system converge to tumor free EQUILIBRIUM POINT.

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APA: Copy

KEYANPOUR, MOHAMMAD, & AKBARIAN, TAHEREH. (2012). EXTENSION OF CELL CYCLE MODEL. ADVANCES IN MATHEMATICAL MODELING, 2(1), 97-106. SID. https://sid.ir/paper/243933/en

Vancouver: Copy

KEYANPOUR MOHAMMAD, AKBARIAN TAHEREH. EXTENSION OF CELL CYCLE MODEL. ADVANCES IN MATHEMATICAL MODELING[Internet]. 2012;2(1):97-106. Available from: https://sid.ir/paper/243933/en

IEEE: Copy

MOHAMMAD KEYANPOUR, and TAHEREH AKBARIAN, “EXTENSION OF CELL CYCLE MODEL,” ADVANCES IN MATHEMATICAL MODELING, vol. 2, no. 1, pp. 97–106, 2012, [Online]. Available: https://sid.ir/paper/243933/en

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