Role of Antibodies: A Novel Paradigm in Mathematical Modeling for Cancer Treatment
نویسندگان
چکیده
A mathematical model for the quantitative analysis of cancer immune interaction, considering the role of antibodies has been proposed in this paper. The model is based on the clinical evidence, which states that antibodies can directly kill cancerous cells [1]. The existence of transcritical and saddle-node bifurcation, which has been proved using Sotomayor theorem, provides strong biological implications. Through numerical simulations, it has been illustrated that under certain therapy (like monoclonal antibody therapy), which is capable of altering the parameters of the system, cancer-free state can be obtained.
منابع مشابه
Mathematical Modeling of Cancer Cells and Chemotherapy Protocol Dealing Optimization Using Fuzzy Differential Equations And Lypunov Stability Criterion
Mathematical models can simulate the growth and proliferation of cells in the interaction with healthy cells, the immune system and measure the toxicity of drug and its effects on healthy tissue pay. One of the main goals of modeling the structure and growth of cancer cells is to find a control model suitable for administration among patients. In this study, a new mathematical model is designed...
متن کاملA stochastic mathematical model of avascular tumor growth patterns and its treatment by means of noises
Due to the rate increase in cancer incidence, many researchers in different fields have been conducting studies on cancer-related phenomena. Most studies are conducted to focus on cellular and molecular aspects of cancerous diseases and treatment strategies. Physicists have been using mathematical modeling and simulation to explain the growth pattern of tumors. Although most published studies i...
متن کاملMathematical Modeling and Lyapunov-Based Drug Administration in Cancer Chemotherapy
In this paper a new mathematical model is developed for the dynamics between tumor cells, normal cells, immune cells, chemotherapy drug concentration and drug toxicity. Then, the theorem of Lyapunov stability is applied to design treatment strategies for drug protocols that ensure a desired rate of tumor cell kill and push the system to the area with smaller tumor cells. Using of this theorem a...
متن کاملTherapeutic Applications of Monoclonal Antibodies in Multiple Sclerosis
Despite the various therapies available, the use of monoclonal antibodies is a highly specific approach that has only recently been of interest to researchers. The properties of antibodies have led to their use in the treatment of various diseases, including cancer, Alzheimer's disease, diabetes and multiple sclerosis (MS). MS, a chronic inflammatory disease, occurs commonly in young adults. Th...
متن کاملTargeting Colorectal Cancer Cell Lines Using Nanobodies; AgSK1as a Potential Target
Background: Colorectal cancer is the third most common type of aggressive cancers. Chemotherapy, surgery,and radiotherapy are the common therapeutic options for treating this cancer. Due to the adverse side-eff ects of these methods, immunotherapy is considered as an appropriate alternative therapeutic option. Treatment through the application of monoclonal antibodies is considered as a n...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2010