The bulletin of mathematical biophysics

, Volume 8, Issue 1, pp 17–20 | Cite as

A contribution to the mathematical biophysics of cell growth and shapes: II

  • Richard Runge
Article
  • 30 Downloads

Abstract

A theoretical study of the growing nerve cell filopodium is made using the assumptions of volume constancy, cylindrical shape, and substrate track of an earlier paper, but assuming additionally that a retarding force per unit area proportional to the rate of elongation is also acting. Equations of elongation for two different cases are derived.

Keywords

Frictional Force Adhesion Force Biophysics Volume Cylindrical Shape Mathematical Biophysics 

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Literature

  1. Runge, Richard. 1945. “A Contribution to the Mathematical Biophysics of Cell Growth and Shapes: I.”Bull. Math. Biophysics,7, 189–201.Google Scholar

Copyright information

© The University of Chicago Press 1946

Authors and Affiliations

  • Richard Runge
    • 1
  1. 1.The University of ChicagoChicagoUSA

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