Changing the dynamics of a system by using finite duration inputs: Application to cancer modeling and treatment

Authors

1 K.N. Toosi university of technology

2 K.N. Toosi Univ. of Tech.

3 IUST

4 K.N. Toosi univ. of tech.

Abstract

In this paper, a new mathematical model is developed to represent the interaction between healthy and cancer cells in the human body, focusing on the role of input on the dynamics of the cancer. For this purpose, the effect of input on the dynamics of a system is investigated. The question is whether an input implemented only for a limited duration can change the characteristics of a dynamic system such that the behavior of the free system, after eliminating the input, differs from that before acting the input? It is shown that nonlinearity is a necessary condition for a system in order that its dynamical properties change due to a limited duration acted input. Then, based on this new approach, the radiotherapy protocols are evaluated and the best protocol, which has the lowest fraction of normal cell kill (FN) and shorter time for the tumor removal, is extracted. According to the results, the accelerated fractionation is the best protocol. Also, after removing the radiotherapy the patient becomes healthy and the cancer do not relapse due to change in the dynamics of the cancer. So, 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.

Keywords

Main Subjects

References

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Journal of Solid and Fluid Mechanics
Volume 4, Issue 1 - Serial Number 1
March and April 2014
Pages 79-91

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