The bulletin of mathematical biophysics

, Volume 15, Issue 1, pp 73–81 | Cite as

Cell division by swelling stresses

  • Irvin Isenberg


It is demonstrated that, if the variations of viscosity throughout a cell are considered, swelling stresses may produce elongation and division. To do this it is necessary to generalize Betti's theorem to cover systems containing viscosity gradients and such a generalization is presented.

On the basis of two special assumptions it is shown that most of the results of the diffusion drag theory of cell division may be duplicated by the present theory.


Cell Division Viscous Liquid Surface Force Betti Equivalence Theorem 
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Copyright information

© The University of Chicago Press 1953

Authors and Affiliations

  • Irvin Isenberg
    • 1
  1. 1.The University of ChicagoCommittee on Mathematical BiologyUSA

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