Qualitative analysis of second-order models of tumor-immune system competition
نویسندگان
چکیده
This paper deals with the qualitative analysis, existence of equilibria and asymptotic behavior of a second order model of the competition between tumor and immune cells. The background model belongs to D’Onofrio [1,2] various developments are proposed in this paper focussed to the hiding learning dynamics, followed by the qualitative analysis. M.S.C. 2000: 92D25, 37D35, 35B40, 34G20
منابع مشابه
Estimation of the Domain of Attraction of Free Tumor Equilibrium Point for Perturbed Tumor Immunotherapy Model
In this paper, we are going to estimate the domain of attraction of tumor-free equilibrium points in a perturbed cancer tumor model describing the tumor-immune system competition dynamics. The proposed method is based on an optimization problem solution for a chosen Lyapunov function that can be casted in terms of Linear Matrix Inequalities constraint and Taylor expansion of nonlinear terms. We...
متن کاملThe Regression of Glioblastoma Multiforme is Time Dependent in Wild-Type Rat Xenograft Model
Introduction: Glioblastoma multiforme (GBM) is an aggressive case of primary brain cancer which remains among the most fatal tumors worldwide. Although, some in vitro and in vivo models have been developed for a better understanding of GBM behavior; a natural model of GBM would improve the efficiency of experimental models to human GBM tumors. We aimed at the present study to examine the surviv...
متن کاملMetamodeling tumor-immune system interaction, tumor evasion and immunotherapy
The tumor–immune system competitive interaction is very complex, being nonlinear and, to some extent, evolutive. Furthermore, the tumor itself is not a single well defined disease, but, more correctly, a wide family of diseases, characterized by some important common features, but also by many great differences between them. For this reason, we introduced in [A. d’Onofrio, A general framework f...
متن کاملOn the kinetic theory for active particles: A model for tumor-immune system competition
This paper deals with the qualitative analysis of a model describing the competition between tumor and immune cells. Such competition is characterized by proliferation–destruction phenomena and the interacting entities are characterized by a microscopic state which is modified by interactions. The model also includes the description of the natural trend of immune cells to reach a healthy or sen...
متن کاملRanking Decision Making Units based on their profit in competition to reach a standard level
The full ranking or complete ranking of decision making units is one of the main issues in data envelopment analysis. A full ranking is a ranking that considers all efficient and inefficient units simultaneously and finds a ranking for them. Almost all of the developed ranking methods consider only the efficient units. On the other hand, ranking inefficient units by traditional data envelop...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Mathematical and Computer Modelling
دوره 47 شماره
صفحات -
تاریخ انتشار 2008