A Mathematical Model of Breast Cancer and Mediated Immune System Interactions
A Mathematical Model of Breast Cancer and Mediated Immune System Interactions作者机构：Department of Mathematics & Computer Science Minot State University Minot 58707 United States Department of Science Minot State University Minot 58707 United States
出 版 物：《Journal of Mathematics and System Science》 (数学和系统科学（英文版）)
年 卷 期：2012年第2卷第7期
页 面：430-446页
学科分类：090602[农学-预防兽医学] 080202[工学-机械电子工程] 08[工学] 09[农学] 0906[农学-兽医学] 0802[工学-机械工程]
主 题：Breast cancer immune system mathematical model.
摘 要：Mathematical model that describes breast cancer and immune interactions were presented using system of differential equations to provide analytic and nnmeric framework of cancer-immune dynamics. Four types of immune cells-CTLs （cytotoxic T lymphocytes）, macrophages, NK （natural killer） and helper T cells-known to play the most significant roles in developing breast cancer immunity were modeled using differential equations. The model was then applied to different cancer growth rates and simulated using MATLAB software tool. The parameters of the model were based on experimental and clinical results from published articles. Results supported clinical studies that maximal breast cancer immunity depends mostly on each of the four immune cell types chosen. It was observed that for a given breast cancer growth rate, there was an optimal activation that maximized the response of the immune system. The effectiveness of the immune system resulted in the decrease in breast cancer killing rates. These results highlighted the importance of immune system activations in breast cancer development and treatment. Therefore, the model and its simulation provided a robust framework to better understand breast cancer progression and response to the immune system.
维普期刊数据库