alexa Dynamical Analysis of Chemotherapy Optimal Control usin
e-ISSN:2320-1215 p-ISSN: 2322-0112

Research & Reviews in Pharmacy and Pharmaceutical Sciences
Open Access

OMICS International organises 3000+ Global Conferenceseries Events every year across USA, Europe & Asia with support from 1000 more scientific Societies and Publishes 700+ Open Access Journals which contains over 50000 eminent personalities, reputed scientists as editorial board members.

Open Access Journals gaining more Readers and Citations

700 Journals and 15,000,000 Readers Each Journal is getting 25,000+ Readers

This Readership is 10 times more when compared to other Subscription Journals (Source: Google Analytics)

Research Article

Dynamical Analysis of Chemotherapy Optimal Control using Mathematical Model Presented by Fractional Differential Equations, Describing Effector Immune and Cancer Cells Interactions

Mehdi Shahbazi1*, G Hussian Erjaee1, and Hoda Erjaee2

1Mathematics Department, Shiraz University, Shiraz, Iran.

2Department of Basic Science, Shiraz University, Shiraz, Iran.

*Corresponding Author:
Mehdi Shahbazi
Mathematics Department
Shiraz University
Shiraz, Iran
Tel: +27219593229/2190
Fax: +278615107002
E-mail: [email protected]

Received date: 15/05/2014; Accepted date: 11/06/2014; Published date: 16/06/2014



Evaluation of chemotherapy treatment in cancer cells is important because of its damaging side effects. For controlling chemotherapy treatment in cancer cells an accurate and comprehensive mathematical model could be useful. Many mathematical models have been used to show the benefits of immune system on controlling the growth of a tumor and the detrimental effects of chemotherapy on both the tumor cell and the immune cell populations. In this article, we offer a novel mathematical model presented by fractional differential equations. This model will then be used to analyze the bifurcation and stability of the complex dynamics which occur in the local interaction of effector-immune cell and tumor cells in a solid tumor. We will also investigate the optimal control of combined chemo-immunotherapy. We argue that our fractional differential equations model will be superior to its ordinary differential equations counterpart in facilitating understanding of the natural immune interactions to tumor and of the detrimental side-effects which chemotherapy may have on a patient’s immune system.


Share This Page

Additional Info

Loading Please wait..
Peer Reviewed Journals
Make the best use of Scientific Research and information from our 700 + peer reviewed, Open Access Journals
International Conferences 2017-18
Meet Inspiring Speakers and Experts at our 3000+ Global Annual Meetings

Contact Us

© 2008-2017 OMICS International - Open Access Publisher. Best viewed in Mozilla Firefox | Google Chrome | Above IE 7.0 version