Homotopy Perturbation Method for Solving Cell Cycle of Tumoural Cells
N. S. Ravindran, M. Mohamed Sheri, P. Krishnapriya
Journal of Advances in Mathematics and Computer Science · pp. 3271–3285 · Published 23 Sep 2014
10.9734/BJMCS/2014/12519Abstract
In this work we present a mathematical model for tumour growth based on the biology of the cell cycle. Our model reproduces the dynamics of three different tumour cell populations: Quiescent cells, cells during the inter phase and mitotic cells. Here, we investigate the stability analysis of the cancer-free equilibrium. We have implemented Homotopy perturbation method to give approximated analytical solutions of non-linear ordinary differential equations of system such as model for Tumoural growth. A modification of the homotopy perturbation method based on the use of Pade approximations is done. Some plots are presented to show the reliability and simplicity of the methods.
Cited by 0
No indexed citations yet.
Related research
- Invasive Urothelial Carcinoma of the Ureter with Associated Obstructive Uropathy and Chronic Pyelonephritis: A Case Report and Literature Review — shares topic coverage
- Detection of Tumour Based on Breast Tissue Categorization — shares topic coverage
- Machine Learning Optimisation for Realistic 2D and 3D PET-CT Phantom Study — shares topic coverage
- A Case Report on Primary Renal Synovial Sarcoma — shares topic coverage
- Adolescent Extra-renal Wilms’ Tumour: Rare Manifestation of Retroperitoneal Tumor with Hepatomegaly in District Hospital during Pandemic COVID-19 Era — shares topic coverage
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
0
Citations
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
No views recorded yet.
Traffic sources
Referring site, by host.
No traffic recorded yet.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.