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


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.


Frictional Force Adhesion Force Biophysics Volume Cylindrical Shape Mathematical Biophysics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  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

Personalised recommendations