The bulletin of mathematical biophysics

, Volume 2, Issue 1, pp 27–36 | Cite as

Contributions to the mathematical biophysics of organic form I. Formation of cavities in cellular aggregates

  • N. Rashevsky


The action of diffusion forces in aggregates of metabolising cells is studied mathematically, and it is shown that under definite conditions these forces may lead to the formation of inner cavities inside of the cellular aggregate. Different quantitative relations are derived and the possible bearing of these results on some embryological phenomena is discussed. A possible application of these considerations to the theory of formation of vacuoles is also discussed.


Spherical Shell Elastic Force Elastic Membrane Mathematical Biophysics Chapter Viii 
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  1. Brachet, Jean. 1934. “Metabolisme de l’oeuf.”Arch. de Biol.,45, 611–727.Google Scholar
  2. Rashevsky, N. 1938.Mathematical Biophysics. Chicago: The University of Chicago Press.MATHGoogle Scholar
  3. Rashevsky, N. 1940.Advances and Applications of Mathematical Biophysics. Chicago: The University of Chicago Press.Google Scholar

Copyright information

© Psychometric Corporation 1940

Authors and Affiliations

  • N. Rashevsky
    • 1
  1. 1.The University of ChicagoChicagoUSA

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