Mathematical modeling in biological sciences a study

Abstract

Mathematical modeling in biological sciences is an interdisciplinary scientific research field. Mathematical modeling in developmental process has earned new respect and plays a key role in all domains of science and eventually provided fresh insight into biological sciences too. Models serve as a tool to develop, to validate hypothesis made from experimental data and there by gaining new knowledge about biological processes. In this work, an attempt is made to prepare mathematical model for the water treatment, bone transplantation, blood flow and orientation of erythrocytes in biological systems under varied boundary conditions. Especially in water treatment and bone grafting nano materials and methods are introduced. newlineThe present thesis is spread over into five chapters. newlineChapter one provides brief general introduction to the mathematical modeling and their importance, mathematical modeling in biological sciences, need of mathematical models, general modeling strategy, modeling objectives, model classifications, modeling advantages, benefits, limitations, fluids, nano materials and scope of present study are described. The field of mathematical biology is growing rapidly. Mathematical modeling plays an important and often indispensable role in biological sciences because it serves as a crucial link between the concept and realization of a biological circuit newlineChapter two focuses the finite element analysis of blood flow and application of pressure in the human thumb and applications in disease invention. The human thumb has direct link with brain, pituitary gland, pineal gland, mental nerves, head nerves, neck etc. In particular point, the thumb pressure is applied on a particular part and stimulates and activates. The finite element models to analyze the blood perfusion and heat transport in the human thumb were developed based on the transport theory in porous media with applying of pressure. The blood pressure and velocity at particular time were first computed and corresponding values for the thumb were subseq