  The propagation of an action potential is accompanied by mechanical and
thermal effects. Several mathematical models explain the deformation of the
unmyelinated axon wall. In this paper, the deformation of the myelinated axon
wall is studied. The mathematical model is inspired by the mechanics of
microstructured materials. The model involves the improved Heimburg-Jackson
equation together with another equation of wave motion that describes the
process in the myelin sheath. The dispersion analysis of such a model explains
the behaviour of group and phase velocities. In addition, it is shown how
dissipative effects may influence the process. Numerical calculations
demonstrate the changes in velocities and wave profiles in the myelinated axon
wall.
