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Mathematical analysis based on eigenvalue approach to study liver metastasis disease with applied drug therapy

Authors
  • Mubarak, Saqib1
  • Khanday, M. A.1
  • Lone, Ahsan Ul Haq1
  • 1 University of Kashmir, Srinagar, 190006, India , Srinagar (India)
Type
Published Article
Journal
Network Modeling Analysis in Health Informatics and Bioinformatics
Publisher
Springer Vienna
Publication Date
Apr 07, 2020
Volume
9
Issue
1
Identifiers
DOI: 10.1007/s13721-020-00231-0
Source
Springer Nature
Keywords
License
Yellow

Abstract

The basic reaction–diffusion model is extended to study liver metastasis disease with applied drug therapy by the term which describes the interaction between the tumor and normal cells. The drug therapy is taken as a function of tumor shape as well as time duration. The model is solved using an analytical eigenvalue approach. The results obtained from the model are presented graphically for different case studies to show the response of tumor decay and growth respectively in the presence and absence of the drug therapy. Finally, the model outcome and their simulations are compared with the known clinical results to prove the feasibility and efficacy of the proposed model.

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