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conferenceseries
.com
Volume 5, Issue 3 (Suppl)
J Infect Dis Ther, an open access journal
ISSN:2332-0877
Infectious Diseases 2017
August 21-23, 2017
3
rd
Annual Congress on
Infectious Diseases
August 21-23, 2017 San Francisco, USA
Effect of noise on tumor growth cancer model
Kalyan Das, M N Srinivas
and
Nurul Huda Gazi
1
National Institute of Food Technology Entrepreneurship and Management, India
2
VIT University, India
3
Aliah University, India
R
ecently cell-mediated immunity plays an important role in immune responses against cancer. Cancer cell development
and survival is a multifactor process, involving genetic mutation of normal cells as well as physiological changes within
both cancer cells and also the body's defence mechanisms. In the present study we have considered a tumor growth three
dimensional ordinary non-linear differential equation model. We considered the special effect of tumor-immune interaction
along with the two immune components – resting (helper) T-cells which stimulate CTLs and convert them into hunting
(active) CTL cell which attack, destroy, or ingest the tumor cell. We have also discussed the qualitative behavior of the solution
of our system. Critically we have examined the existence of the system with local and global stability analysis at different
equilibrium points. We have also developed a theoretical framework to understand the complex behavior of the tumor growth
cell under the influence of stochastic fluctuations by adding the effects of additive white noise of the immune system to study
real situation of the interaction between these two groups of cells. Using various sensitive parameter values and different initial
densities, the numerical simulations show that the dynamical behavior of the tumor cells, together with the resting and hunting
cells, lead to a variety of interesting patterns in the evolution of the tumor and immune cell populations.
daskalyan27@gmail.comJ Infect Dis Ther 2017, 5:3 (Suppl)
DOI: 10.4172/2332-0877-C1-027