Drug Resistance in Cancer Chemotherapy as an Optimal Control Problem
نویسندگان
چکیده
We analyze non cell-cycle specific mathematical models for drug resistance in cancer chemotherapy. In each model developing drug resistance is inevitable and the issue is how to prolong its onset. Distinguishing between sensitive and resistant cells we consider a model which includes interactions of two killing agents which generate separate resistant populations. We formulate an associated optimal control problem for chemotherapy and analyze the qualitative structure of corresponding optimal controls.
منابع مشابه
Finite Dimensional Models of Drug Resistant and Phase Specific Cancer Chemotherapy
We consider the problem of modeling drug resistance and phase specificity of cancer chemotherapy using finite dimensional models. We formulate optimal control problems arising in protocol design for such models and discuss research issues resulting from such formulations. keywords: chemotherapy, drug resistance, phase specificity, biomathematical modeling, optimal control
متن کاملMathematical 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 کاملInvestigation of the Effects of Vitamin C on Resistance to 5-FU in Colon Cancer Cells Line HT29
Introduction: There is growing evidence about the use of antioxidants to reduce the side effects of chemotherapy and cancer drug resistance. Therefore, this study aimed to use vitamin C as an antioxidant and determine its effect on drug resistance in HT29 cells. Materials & Methods: During this case-control study, HT29 cells were first cultured and evaluated by MTT assay for cell death in th...
متن کاملA review of models for cancer chemotherapy based on Optimal Control
Besides all the improvements regarding cancer research, cancer is still the major cause of death in developed countries. Indeed, the current therapies have several relevant limitations. Beyond chemotherapy inherent toxicity, cancer cells develop inevitably drug resistance. This stresses the necessity of better treatment options such as immunotherapy. In this report some mathematical models for ...
متن کاملSambucus Nigra Synergizes Cisplatin to Improve Apoptosis and Metabolic Disorders, and Reduce Drug Resistance in Two Human Breast Cancer Cell Lines
Background: Despite modern developments in its management, still major concerns remain about drug resistance in chemotherapy. Natural adjuvants combined with chemotherapy might be the answer. We examined the anti-cancer, anti-proliferative and synergistic effects of Sambucus nigra extract with cisplatin chemotherapy (CDDP) on MCF-7 and MDA-MB-231 human cancer cell lines. Methods: MCF-7 and MDA...
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 2005