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Research Methodology

Research Methodology (Volume - 3)


₹ 1,004


Author(s):Dr. R. Balu, Dr. M. Balasubramanian and Dr. Nagaraja Suryadevara
Paperback ISBN:978-93-90541-09-6
Publisher:AkiNik Publications
Language:English
Pages:429
Publication Year:2020
Binding:Paperback
DOI:https://doi.org/10.22271/ed.book.995

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Description

This book explores the mathematical modeling and numerical simulation of tumor growth, focusing on the development of avascular tumors. The proposed model integrates oxygen and nutrient concentration dynamics with cell movement and contact inhibition effects. The study employs a reaction-diffusion approach to model the proliferation, quiescence, and necrosis of tumor cells, solving the system of equations using finite difference methods and MATLAB simulations. This comprehensive analysis offers valuable insights into tumor microenvironments and aims to enhance decision support systems for personalized cancer treatment, supporting oncologists in understanding the complexities of tumor progression.

Abstract

This study presents a mathematical model for the growth of avascular tumors, incorporating the effects of oxygen and nutrient concentration, along with the movement of proliferating and quiescent cells. The model is based on reaction-diffusion equations, and numerical simulations are performed using the finite difference method in MATLAB. The study explores the dynamics of tumor cell populations, including the transition from proliferating to quiescent cells and the impact of nutrient availability on necrosis. The results highlight the influence of parameters on tumor growth and contribute to the development of personalized treatment strategies for cancer management.

Reviews

5.0

1 reviews





Dr. Vishal Kumar
  November 12, 2024

This book helped me refine my research approach with practical tips and frameworks.

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