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Title

Examination of logistic mathematical models and providing an appropriate response for treatment of cancerous tumors

Pages

  149-159

Abstract

 Objective (s): In this research, we examined the different mathematical models of Cancerous Tumor growth and compared several models to calculate and evaluate the response of the growth logistic model to the specific growth rate conditions. Methods: The growth rate was simulated by considering it as a function of time (linear, exponential growth, and linear growth-decay). Responses were obtained by using Range-Kutta's numerical solution method. Results: The general response is the logistic growth curve, but the external factors in the Treatment can be Controlled to optimally respond of model. The optimal conditions for Controlling the growth of the tumor obtained by the linear growth ratedecay for the constants 0. 1 1 k  and 1 2 k  . Conclusion: Solid tumor structure is associated with a decrease in the stage of growth of the cells prior to angiogenesis. Increasing lagging agents such as accelerating immunological response during exponential growth functions can Control Tumor growth. The numerical results obtained in this study can provide an optimal therapeutic strategy by reducing the volume of primary Cancer by calculating angiogenic inhibitors. Also, by analyzing pathology, mechanical properties of Tumor growth, cellular adaptation and therapeutic resistance, we can overcome some of the previous constraints in the general growth model.

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    APA: Copy

    Zobdeh, Parviz, & SARDARI, DARIUSH. (2019). Examination of logistic mathematical models and providing an appropriate response for treatment of cancerous tumors. PAYESH, 18(2 ), 149-159. SID. https://sid.ir/paper/23452/en

    Vancouver: Copy

    Zobdeh Parviz, SARDARI DARIUSH. Examination of logistic mathematical models and providing an appropriate response for treatment of cancerous tumors. PAYESH[Internet]. 2019;18(2 ):149-159. Available from: https://sid.ir/paper/23452/en

    IEEE: Copy

    Parviz Zobdeh, and DARIUSH SARDARI, “Examination of logistic mathematical models and providing an appropriate response for treatment of cancerous tumors,” PAYESH, vol. 18, no. 2 , pp. 149–159, 2019, [Online]. Available: https://sid.ir/paper/23452/en

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