Version 1
: Received: 9 April 2023 / Approved: 10 April 2023 / Online: 10 April 2023 (04:52:11 CEST)
Version 2
: Received: 10 April 2023 / Approved: 10 April 2023 / Online: 10 April 2023 (09:38:08 CEST)
How to cite:
Mogire, D.; Kerongo, J.; Bulinda, V. Mathematical Modeling of Dynamics of Cancer Invasion in Human Body Tissues. Preprints2023, 2023040146. https://doi.org/10.20944/preprints202304.0146.v1
Mogire, D.; Kerongo, J.; Bulinda, V. Mathematical Modeling of Dynamics of Cancer Invasion in Human Body Tissues. Preprints 2023, 2023040146. https://doi.org/10.20944/preprints202304.0146.v1
Mogire, D.; Kerongo, J.; Bulinda, V. Mathematical Modeling of Dynamics of Cancer Invasion in Human Body Tissues. Preprints2023, 2023040146. https://doi.org/10.20944/preprints202304.0146.v1
APA Style
Mogire, D., Kerongo, J., & Bulinda, V. (2023). Mathematical Modeling of Dynamics of Cancer Invasion in Human Body Tissues. Preprints. https://doi.org/10.20944/preprints202304.0146.v1
Chicago/Turabian Style
Mogire, D., Joash Kerongo and Vincent Bulinda. 2023 "Mathematical Modeling of Dynamics of Cancer Invasion in Human Body Tissues" Preprints. https://doi.org/10.20944/preprints202304.0146.v1
Abstract
Cancer diseases lead to the second-highest death rate all over the world. The dynamics of invasion of cancer cells into the human body tissues and metastasis are the main causes of death in patients with cancer. This study deals with theoretical investigation of the dynamics of invasion of cancer cells for tumour growths in human body tissues using discretized Cahn-Hilliard, concentration and reaction-diffusion equations which were solved by Finite Difference Method with the aid of MATLAB computer software. A Crank-Nicolson numerical scheme was developed for the discretized model equations. The numerical result obtained was used to describe the dynamics of cancer invasion of tissues with respect to cancer cells density on tumour growth, turbulence and mobility and equilibrium between charge and discharge of cancer cells. The results of the study provide new insights into combating cancer disease by providing mitigating and intervention measures to this major health problem.
Keywords
Cancer cells; Finite Difference Method; tumor growth
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
