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On the mechanics of viscous bodies and elongation in ellipsoidal cells

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Abstract

After deriving some auxiliary equations for the average elongation of a viscous body under the action of forces derived from a potential, the diffusion problem for an ellipsoidal cell with a constant rate of reaction is solved for the case of an infinite permeability. The equation of elongation of such a cell under the influence of diffusion forces is derived, and compared with the, approximate expression obtained by N. Rashevsky for any kind of oblong cell. The two equations are in fair agreement. Effects of constant and variable surface tension are studied.

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Authors and Affiliations

  1. The University of Chicago, Chicago, USA

    Gale Young

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  1. Gale Young
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Young, G. On the mechanics of viscous bodies and elongation in ellipsoidal cells. Bulletin of Mathematical Biophysics 1, 31–46 (1939). https://doi.org/10.1007/BF02478011

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  • DOI: https://doi.org/10.1007/BF02478011

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