Considered here is the derivation of partial differential equations arising in pulsatile flow in pipes with viscoelastic walls. The equations are asymptotic models describing the propagation of long-crested pulses in pipes with cylindrical symmetry. Additional effects due to viscous stresses in biofluids are also taken into account. The effects of viscoelasticity of the vessels on the propagation of solitary and periodic waves in a vessel of constant radius are being explored numerically.

<p>Herein contained is an exploration into mathematical modelling pertaining to blood flow in arteries. Previous models are considered as well as a new model derived. Some properties of these new models are investigated. They hold similarities with models from other physically significant systems, namely the KdV/BBM equations used for the modelling of water flow.</p>

<p>Herein contained is an exploration into mathematical modelling pertaining to blood flow in arteries. Previous models are considered as well as a new model derived. Some properties of these new models are investigated. They hold similarities with models from other physically significant systems, namely the KdV/BBM equations used for the modelling of water flow.</p>