The bulletin of mathematical biophysics

, Volume 4, Issue 4, pp 155–158 | Cite as

Equilibrium shapes in non-uniform fields of concentration

  • H. D. Landahl


The special case of a metabolizing cell, with infinite permeability, suspended in the field of an equivalent cell is treated exactly to determine its equilibrium shape for small deformations. It is found that flattening takes place along the line of centers.


Small Deformation Biophysics Volume Cleavage Plane Equilibrium Shape Mathematical Biophysics 
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  1. Landahl, H. D. 1942. “A Kinetic Theory of Diffusion Forces in Metabolizing Systems.”Bull. Math. Biophysics,4, 15–26.MathSciNetCrossRefGoogle Scholar
  2. Landahl, H. D. 1942. “A Mathematical Analysis of Elongation and Constriction in Cell Division.”Bull. Math. Biophysics,4, 45–62.CrossRefGoogle Scholar
  3. Rashevsky, N. 1940.Advances and Applications of Mathematical Biology. Chicago: The University of Chicago Press.MATHGoogle Scholar
  4. Young, G. 1939. “On the Mechanics of Viscous Bodies and Elongation in Ellipsoidal Cells.”Bull. Math. Biophysics,1, 31–46.MATHCrossRefGoogle Scholar

Copyright information

© The University of Chicago Press 1942

Authors and Affiliations

  • H. D. Landahl
    • 1
  1. 1.The University of ChicagoChicagoUSA

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