ABSTRACT
It is a fact that all physical phenomena show nonlinear attitude. Therefore, for evaluating a phenomenon in the real world, the scientists should make their efforts to develop a mathematical model that exhibits the physical system or phenomenon’s nearly exact behavior. Researchers generally use three types of models: mathematical (or analytical), numerical, and experimental. Now, the results obtained from the study of various branches of applied mathematics (in particular, dynamical system analysis) and the increasing use of high-speed electronics computers have gained importance in the construction of analytical models for formulation, analysis, and prediction of critical problems related to human physiology. Mathematical models are developed using the suitable symbolism to define the operation of a physical system. They are being extensively used in making predictions for the output when a particular parameter is varied experimentally. Those analytical models can be effectively used to explore the impact of various parameters on the output within a short period of time, which may not be possible for other models (numerical or experimental). Mathematical modeling becomes essential in the cases where experimental investigations are difficult to be carried out in order to obtain adequate data. It is a reality that no human being will allow us to conduct experiments on any of his organs. Also, human organic system is much superior to other animals, and consequently, the data available from subprimates cannot be effectively used for human organic system so the best possible technique of the investigation of these problems is based on the construction of models (sometimes the modification of the existing models) covering the affected state of the human metabolic system. The construction and analysis of different mathematical models in health science, precisely brain injury and blood flow, are being extensively used not only in the prediction of occurrence of the various diseases but also in the treatment of the diseases. The data available on fatalities resulting from road accidents or soccer victims leading to morbidity (or even death) involve injury to head, so a good number of analytical as well as experimental studies on the mechanics of the cranial vault with particular emphasis on the head injury (brain injury) mechanics have been made since the World War II. Although many experimental as well as analytical investigations were proposed by many researchers on disorder of the human cranial system due to various reasons, our knowledge in this domain still remains inadequate (as in the case with many other biomedical issues) compared to the information obtained from the study of similar technological structures. The mechanical distinctive specialty of the conducting tube for blood flow together with the discontinuity (or irregularity) of blood flowing through the vessels and unusual deposit in the inner side of the artery is considered as the cause and development of many critical hematological problems. Investigations on flow characteristics of blood through human artery/vein much depend on modeling of the physical shape and nature of the artery/vein, and rheological behavior of the streaming blood. Apart from many shortcomings, mathematical models are constructed and presented in the investigations related to the cause and remedy of the human physiological disorders.
