In this paper, we introduce a new dynamical model addressing the variation in climate condition due the presence of microorganisms. We also introduce a new dynamical model of cancer growth which includes three interactive cell populations with drug free environment, namely tumor cells, healthy host cells, and immune effector cells. In this, we considered the super growth of tumor cells. For the choice of certain parameters, both of the systems exhibit chaotic behavior. The aim of this work is to design the controller to control the chaos and to provide sufficient conditions which achieve synchronization of two non-identical systems, which is based on Lyapunov stability theory. To verify synchronization is achieved between the systems, we pe...
In this paper, we present and investigate a model for solid tumor growth that incorporates features ...
In this paper, we carry out an examination of four mechanisms that can potentially lead to changing ...
In this thesis we explore tumor-microenvironment dynamics using three models of decreasing complexit...
Hypoxia and the pH level of the tumor microenvironment have a great impact on the treatment of tumor...
Cancer growth and decay can be modeled as a system of chaotic nonlinear differential equations. The ...
Model equations: n'=0,f'=αη(m-f), m'=βkn-fc+γf-m, c'=vfm-ωn-δΦc where m,n,f and c are functions of t...
Dynamical systems modeling tumor growth have been investigated to determine the dynamics between tum...
Many biological systems are often subjected to random environmental influences that cannot be unders...
A simple prey-predator-type model for the growth of tumor with discrete time delay in the immune sys...
summary:We study a class of parabolic-ODE systems modeling tumor growth, its mathematical modeling a...
AbstractThree ecological models describing independent subpopulation growth, interactive competition...
In this study, we present a Lotka-Volterra predator-prey like model for the interaction dynamics of ...
We present a hybrid cellular automata–partial differential equation model of moderate complexity to ...
International audienceObjective: Modeling and analysis of cell population dynamics enhance our under...
The cellular composition of tumors is highly heterogeneous, involving not only divergent lineages of...
In this paper, we present and investigate a model for solid tumor growth that incorporates features ...
In this paper, we carry out an examination of four mechanisms that can potentially lead to changing ...
In this thesis we explore tumor-microenvironment dynamics using three models of decreasing complexit...
Hypoxia and the pH level of the tumor microenvironment have a great impact on the treatment of tumor...
Cancer growth and decay can be modeled as a system of chaotic nonlinear differential equations. The ...
Model equations: n'=0,f'=αη(m-f), m'=βkn-fc+γf-m, c'=vfm-ωn-δΦc where m,n,f and c are functions of t...
Dynamical systems modeling tumor growth have been investigated to determine the dynamics between tum...
Many biological systems are often subjected to random environmental influences that cannot be unders...
A simple prey-predator-type model for the growth of tumor with discrete time delay in the immune sys...
summary:We study a class of parabolic-ODE systems modeling tumor growth, its mathematical modeling a...
AbstractThree ecological models describing independent subpopulation growth, interactive competition...
In this study, we present a Lotka-Volterra predator-prey like model for the interaction dynamics of ...
We present a hybrid cellular automata–partial differential equation model of moderate complexity to ...
International audienceObjective: Modeling and analysis of cell population dynamics enhance our under...
The cellular composition of tumors is highly heterogeneous, involving not only divergent lineages of...
In this paper, we present and investigate a model for solid tumor growth that incorporates features ...
In this paper, we carry out an examination of four mechanisms that can potentially lead to changing ...
In this thesis we explore tumor-microenvironment dynamics using three models of decreasing complexit...