Influence of biologic factor on the velocity of propagation of pulse waves in vessels of living organisms

In this work there has been examined a mathematical model illustrating propagation of a pulse wave, with biological activity of a blood vessel's walls taken into consideration. The influence of the biological factor was allowed for in the equations connecting stresses and deformations of the vessel's walls among themselves. There has been deduced a formula defining the pulse wave propagation velocity in an orthotropic resilient blood-filled vessel, influenced by the biological factor. The obtained results allow us to make a conclusion that stimulation of muscle fibers of the vessel's wall brings on an increase in the pulse wave propagation velocity.