Mathematical Modeling in Medicine

Imbalances of the autonomic nervous system in people living in radioactive contaminated territories: radioactivity and vegetative imbalance

Background: The Ural region is highlighted among other Russian regions for its unfavorable radiation situation and complexity of the overall environmental situation. The source of man-made radioactive contamination is the work of the "Mayak" Production Association. A significant radioactive contamination has happened as a result of several radiation incidents in the early period ...

Cell damaging by irradiating non-thermal plasma to the water: Mathematical modeling of chemical processes

Recently non-thermal plasma (NTP) is applied for many therapeutic applications. By NTP irradiating to the tissues or cell-lines, the water molecules (H2O) would be also activated leading to generate hydrogen peroxide (H2O2). By irradiating plasma to bio-solution, its main output including vacuum UV to UV causes the photolysis of H2O leading to generat...

Fuzzy relations, Possibility theory, Measures of uncertainty, Mathematical modeling.

A central aim of educational research in the area of mathematical modeling and applications is to recognize the attainment level of students at defined states of the modeling process. In this paper, we introduce principles of fuzzy sets theory and possibility theory to describe the process of mathematical modeling in the classroom. The main stages of the modeling process are represented as fuzz...

Mathematical Modeling for Volatile Organic Compounds Removal in a Biofilter: Model Validation and Sensitivity Analysis

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...