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

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Abstract

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.

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Literature

  • Brachet, Jean. 1934. “Metabolisme de l’oeuf.”Arch. de Biol.,45, 611–727.

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  • Rashevsky, N. 1938.Mathematical Biophysics. Chicago: The University of Chicago Press.

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  • Rashevsky, N. 1940.Advances and Applications of Mathematical Biophysics. Chicago: The University of Chicago Press.

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Rashevsky, N. Contributions to the mathematical biophysics of organic form I. Formation of cavities in cellular aggregates. Bulletin of Mathematical Biophysics 2, 27–36 (1940). https://doi.org/10.1007/BF02478029

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  • DOI: https://doi.org/10.1007/BF02478029

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