Travelling Waves Connected to Blood Flow and Motion of Arterial Walls

Abstract

Blood contains large amount of water and it is very important for functioning of complex living organisms. Despite the fact that in the human body blood accounts only for approximately 8%–10% of its weight, the blood flow transports many ingredients which must be carried from one place to another in interior of the body. Our focus in this chapter will be on several mathematical results concerning traveling waves connected to arterial wall and blood flow in large arteries. In order to study these waves we use a method for obtaining exact solutions of nonlinear partial differential equations called Simple Equations method (SEsM). We present a brief summary of the method and apply it to obtain exact traveling wave solutions of nonlinear partial differential equations which model blood flow pulsations and nonlinearly affected motion of walls of large arteries.