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Full-Text Articles in Medicine and Health Sciences
An Extensible Mathematical Model Of Glucose Metabolism, Caleb L. Adams
An Extensible Mathematical Model Of Glucose Metabolism, Caleb L. Adams
Mathematics & Statistics Theses & Dissertations
The American Diabetes Association reports that diabetes is the fifth leading cause of death by disease in the United States. An estimated 23.6 million individuals, or seven percent of the population, have diabetes. Nearly one-third are unaware that they have the disease. The total of the direct and indirect medical costs associated with diabetes in 2007 was projected to be $174 billion, or approximately one out of every ten health care dollars.
One must understand the glucose regulatory system of the healthy body to understand diabetes. Blood glucose concentration returns to a constant level after eating and is maintained during …
Mathematical Models Of Chemotherapy, John Carl Panetta
Mathematical Models Of Chemotherapy, John Carl Panetta
Mathematics & Statistics Theses & Dissertations
Several mathematical models are developed to describe the effects of chemotherapy on both cancerous and normal tissue. Each model is defined by either a single homogeneous equation or a system of heterogeneous equations which describe the states of the normal and/or cancer cells. Periodic terms are added to model the effects of the chemotherapy. What we obtain are regions, in parameter space (dose and period), of acceptable drug regimens.
The models take into account various aspects of chemotherapy. These include, interactions between the cancer and normal tissue, cell specific chemotherapeutic drug, the use of non-constant parameters to aid in modeling …