Abstract
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.
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Literature
Landahl, H. D. 1942. “A Kinetic Theory of Diffusion Forces in Metabolizing Systems.”Bull. Math. Biophysics,4, 15–26.
Landahl, H. D. 1942. “A Mathematical Analysis of Elongation and Constriction in Cell Division.”Bull. Math. Biophysics,4, 45–62.
Rashevsky, N. 1940.Advances and Applications of Mathematical Biology. Chicago: The University of Chicago Press.
Young, G. 1939. “On the Mechanics of Viscous Bodies and Elongation in Ellipsoidal Cells.”Bull. Math. Biophysics,1, 31–46.
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Landahl, H.D. Equilibrium shapes in non-uniform fields of concentration. Bulletin of Mathematical Biophysics 4, 155–158 (1942). https://doi.org/10.1007/BF02478110
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DOI: https://doi.org/10.1007/BF02478110