The bulletin of mathematical biophysics

, Volume 9, Issue 2, pp 63–74 | Cite as

A theory of membrane permeability: III. The effect of hydrostatic pressure

  • Ingram Bloch


Using expressions derived in previous papers, the author investigates the behavior of a cell immersed in an infinite medium, under the influence of diffusion of a single solute and flow of water. The effect of hydrostatic pressure on the system is taken into account. It is found that, depending on the values of certain parameters, the cell can collapse, burst, reach a stationary stable state, or execute undamped oscillations; a cell must burst or collapse unless its volume is an increasing function of internal pressure, and it can execute stable oscillations only if its membrane acts as a “potential well” to the molecules of the solute.


Line Segment Hydrostatic Pressure Membrane Permeability Internal Pressure Spherical Cell 
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  1. Bloch, Ingram. 1944. “A Theory of Membrane Permeability: I.”Bull. Math. Biophysics,6, 85–92.CrossRefGoogle Scholar
  2. Bloch, Ingram. 1946. “A Theory of Membrane Permeability: II.”Ibid.,8, 21–28.Google Scholar

Copyright information

© The University of Chicago Press 1947

Authors and Affiliations

  • Ingram Bloch
    • 1
  1. 1.Yale UniversityUSA

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