Complex Dynamics of Meditating Body

Abstract

Physical exercise is any bodily activity that enhances or maintains physical fitness, overall health, and wellness. Fitness means being able to perform physical activity. It also means having the energy and strength to feel as good as possible. Getting more fit, even a little bit, can improve your health. Exercise is a way of life. It has an important role in the prevention and treatment of lifestyle-related diseases. Physiologically, the benefits of exercises can be explained as more avail-ability of oxygen to all tissues of body as it increases the alveolar ventilation and improves the strength of respiratory muscle and lung volumes by regular practice. In this paper, a mathematical model is developed to study the effects of exercise on the human body and on its two major components lungs and heart. The model uses non-linear differential equations which are time dependent under constant metabolic rate. A compartment model of breath function from lungs to tissues or body cells is discussed. The stability analysis by finding the equilibrium points, eigensystem and phase space was discussed. Further, for improving accuracy and efficiency of the model, time series analysis is also discussed. Lastly, statistical analysis comprising regression line, correlation, fractal dimension, Hurst exponent are also studied for the time series data generated from the non-linear differential equations of the proposed model. It is observed that lungs variable has exponential growth. The body cell and heart variable have chaotic behavior. It is concluded that excessive exercise or increase in time of exercising can be harmful as it leads to more intake of oxygen and then a sudden drop which may be life threatening.