Abstract
The unmyelinated axon of negligibly thin axolemma is idealized as a right circular cylinder of infinite length imbedded in an unbounded aqueous electrolyte. The scalar wave equation is solved in this geometry subject to the boundary conditions (i) that the electric scalar potential vanish at infinity and be a known function along the cylinder axis, and (ii) that the radial current be continuous across the axolemma. Exact solutions for the infinite reluctivity limit are obtained for the interior potential, the total axial current, and the radial current at the axolemma; an approximate solution is obtained for the exterior potential. These solutions are compared with predictions of the classical transmission line theory commonly employed in describing the electrical properties of axons.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
