Dynamic analysis and numerical simulation in a cancer model in dealingwith finite duration inputs

Publish Year: 1393
نوع سند: مقاله کنفرانسی
زبان: English
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ISME22_088

تاریخ نمایه سازی: 14 مرداد 1393

Abstract:

Permanent change in the dynamic characteristics of a system, by exerting an input in a finite duration, is a very interesting and challenging topic in control engineering. We show that if an input affect on the parameters of the system instead of its states and change them, it can alter the dynamics of the syste even after its elimination. Then, the application of this subject is used in cancer modeling and dynamicanalysis. In this paper, a novel mathematical model is developed for tumor–immune system with positive immune response, focusing on the role of external inputs in the progression of cancer which is not considered yet. We also conducted an investigation in to the effects of input on adynamic system, and provide a comprehensive discussion of how cancer has variable behavior patterns throughout the lives of patients. The behavior of the cancer (with inputs) is studied using the trajectory patterns and stability analysis. We show that Hopf bifurcation may occur due to change in the normalrate of changing of ECs into the tumor site caused by external inputs. Therefore, the present analysis suggests that a proper treatment method should change the dynamics of the cancer instead of only reducing the population of cancer cells.

Authors

Ali Ghaffari

Professor of Mechanical Engineering, K.N. Toosi University of Technology

Mostafa Nazari

PhD Student of Mechanical Engineering, K.N. Toosi University of Technology

Behnaz Bahmaie

MSc Student of Mechanical Engineering, K.N. Toosi University of Technology