Absence of Buckling in Nerve Fiber

Abstract

In this study we give a geometrical model which employs the smoothness of nerve fibers as differentiable curves. We show that a nerve fiber may encounter large curvature due to the possible helicial bending and hence it could cause the fiber to buckle. However, its membrane structure provides a mechanism, entirely geometrical to avoid it. To overcome the challenge of emerging helix we project it into a plane.

7 pages no figure. Final version presented at The 10th International Physics Conference of the Balkan Physical Union (BPU10), 26-30 August 2018. To be published in AIP Conference Proceedings

References in corpus (4)

• Contact lines for fluid surface adhesion
• Polymer-induced tubulation in lipid vesicles
• Axially symmetric membranes with polar tethers
• Cable equation for general geometry