next up previous
Next: On the Asymptotic Theory Up: A model for the Previous: Action onto a

 

Action onto an Excitable Fibre

The generalization of equations (19) for spatially extended tissue is straightforward as the deviation of each individual cell from an isopotential state takes place only during the short time periods of external stimulation, and outside these periods cable theory gives

  eqnarray294

where U, tex2html_wrap_inline1075 and V are now functions not only of time t, but also of distance along the fibre x, and the diffusion coefficient for voltage, D, is proportional to the intercellular conductivity. tex2html_wrap_inline1085 gives a conduction velocity of about 350 mm/s for a solitary wave through resting tissue. The value of D is necessary only for the interpretation of spatial scales as equations (23) are invariant under simultaneous change of spatial scales and coefficient D.



Vadim Biktashev
Fri Mar 28 21:26:28 GMT 1997