Analysis of a Mixture Model of Tumor Growth
نویسندگان
چکیده
We study an initial-boundary value problem (IBVP) for a coupled Cahn-Hilliard-Hele-Shaw system that models tumor growth. For large initial data with finite energy, we prove global (local resp.) existence, uniqueness, higher order spatial regularity and Gevrey spatial regularity of strong solutions to the IBVP in 2D (3D resp.). Asymptotically in time, we show that the solution converges to a constant state exponentially fast as time tends to infinity under certain assumptions.
منابع مشابه
Numerical Analysis of Inlet Gas-Mixture Flow Rate Effects on Carbon Nanotube Growth Rate
The growth rate and uniformity of Carbon Nano Tubes (CNTs) based on Chemical Vapor Deposition (CVD) technique is investigated by using a numerical model. In this reactor, inlet gas mixture, including xylene as carbon source and mixture of argon and hydrogen as carrier gas enters into a horizontal CVD reactor at atmospheric pressure. Based on the gas phase and surface reactions, released carbon...
متن کاملEvaluation of naloxone and alum adjuvants effect in HPV vaccine on immunoediting of mice in tumor microenvironment
Background: Papilloma viruses are pathogenic double-strand DNA viruses that genotypes 16 and 18 are the cause of more than 50 percent of cancers as cervical cancer. Although vaccination is one of the best options for the papilloma cancer prevention but that is the most of world healthy problem, it is attempted to evaluate both naloxone (NLX) and alum mixture used as adjuvants together with HPV1...
متن کاملAn Agent- based Modeling for Breast Tissue Simulation and the Growth and Spread of Tumor in Various Breast Cancer States
Introduction: Breast cancer is a cancer that is caused by abnormal growth of breast cells. Modeling and simulation of the growth and treatment of breast cancer, along with providing the possibility of doing experiments and research, can reduce the time and cost of treatment by predicting some cases. The purpose of the present research was to develop an agent-based model for the simulation of b...
متن کاملAn Agent- based Modeling for Breast Tissue Simulation and the Growth and Spread of Tumor in Various Breast Cancer States
Introduction: Breast cancer is a cancer that is caused by abnormal growth of breast cells. Modeling and simulation of the growth and treatment of breast cancer, along with providing the possibility of doing experiments and research, can reduce the time and cost of treatment by predicting some cases. The purpose of the present research was to develop an agent-based model for the simulation of b...
متن کاملTwo Dimensional Mathematical Model of Tumor Angiogenesis: Coupling of Avascular Growth and Vascularization
Introduction As a tumor grows, the demand for oxygen and nutrients increases and it grows further if acquires the ability to induce angiogenesis. In this study, we aimed to present a two-dimensional continuous mathematical model for avascular tumor growth, coupled with a discrete model of angiogenesis. Materials and Methods In the avascular growth model, tumor is considered as a single mass, wh...
متن کاملAGS cell line xenograft tumor as a suitable gastric adenocarcinoma model: growth kinetic characterization and immunohistochemistry analysis
Objective(s): Gastric cancer is the third leading cause of cancer-related death worldwide. The overall survival rate of patients is poor because gastric cancers are usually diagnosed at the late stages. Therefore, further research is needed and appropriate research tools are required to develop novel therapeutic approaches.Materials and Methods: Eight female athymic nude mice with a C57BL/6 bac...
متن کامل