Set-Valued Stabilization of Reaction-Diffusion Model by Chemotherapy and or Radiotherapy

A Moustafid - Fundamental Journal of Mathematics and Applications - dergipark.org.tr
This paper aims to control partial differential equations, modeling cancer chemotherapy and
or radiotherapy, so in order to asymptotically stabilize the tumor density. Viability kernel of …

[PDF][PDF] Stability analysis of a targeted chemotherapy-cancer model

A Das, K Dehingia, N Ray… - … Modelling and Control, 2023 - aimspress.com
* Correspondence: Email: kaushikdehingia17@ gmail. com Abstract: This study addresses a
modified mathematical model of tumor growth with targeted chemotherapy consisting of …

Viability control of chemo-immunotherapy and radiotherapy by set-valued analysis

A Moustafid - International Journal of Informatics and Applied …, 2023 - dergipark.org.tr
In this paper we set-valued analyze the problem of asymptotic stabilizing the tumor size. A
mathematical model of exponential tumor growing caused by carcinogenic substance is …

[PDF][PDF] Inspection of the global behaviour of a radiogenic cancer treatment nonlinear model

K Dehingia, BJ Nath, HK Sarmah, A Das - Gene therapy, 2020 - researchgate.net
Neoplastic diseases are liable for 12% of deaths around the world. The researchers of
several disciplines tried to observe the dynamics of tumour growth with the response to other …

Stability criteria for the cure state in a cancer model with radiation treatment

HI Freedman, STR Pinho - Nonlinear Analysis: Real World Applications, 2009 - Elsevier
In the present paper, a model for treatment by radiation of cancer is developed, where the
radiation affects normal cells proportionately. We consider only the case where the radiation …

A chemotherapy-diffusion model for the cancer treatment and initial dose control

HI Abdel-Gawad, KM Saad - Kyungpook Mathematical Journal, 2008 - koreascience.kr
A one site chemotherapy agent-diffusion model is proposed which accounts for diffusion of
chemotherapy agent, normal and cancer cells. It is shown that, by controlling the initial …

General chemotherapy protocols

A Moustafid - Journal of Applied Dynamic Systems and Control, 2021 - jadsc.aliabad.iau.ir
In this paper we treat the problem of cancer control by chemotherapy, through general
model in ordinary differential equation form of tumor dynamics. The model is augmented by …

Mathematical analysis on a diffusion model describing the compatibility between two types of tumor cells

Y Jia, J Wang - Mathematical Methods in the Applied Sciences, 2023 - Wiley Online Library
Cancer caused by malignant tumor is a very common and serious disease which can lead to
people towards death. However, sometimes, cancer may be controlled if the cancer cells …

[PDF][PDF] Global stability analysis to control growth of tumor in an immune-tumornormal cell model with drug administration in the form of chemotherapy

R Paul, A Das, HK Sarmah - Indian Journal of Theoretical Physics, 2019 - researchgate.net
The main objective of this paper is to present a control policy for an immune-tumor-normal
cell model with drug administration in the form of chemotherapy following certain model …

Analisa Kestabilan Model Matematika Untuk Penyembuhan Kanker Menggunakan Oncolytic Virotherapy

VNV Novellina - Jurnal Matematika, 2016 - ejournal3.undip.ac.id
Oncolytic virotherapy is one type of cancer treatment using oncolytic virus. In this paper, we
will present a mathematical model for treatment of cancer using oncolytic virotherapy with …