The bulletin of mathematical biophysics

, Volume 4, Issue 1, pp 15–26 | Cite as

A kinetic theory of diffusion forces in metabolizing systems

  • H. D. Landahl


The development of a molecular theory of the diffusion drag forces in liquids is attempted by considering the liquids as limiting cases of very dense gases. An expression is derived for the force on a small particle suspended in a nonuniform mixture of such gases on the basis of kinetic theory. Another expression for the order of magnitude of the force on a larger particle is obtained by introducing certain hydrodynamical considerations. These results are compared with an expression previously derived by N. Rashevsky, and estimates are made of the order of magnitude of the volume force on the granules and particles within a typical cell due to the diffusion of metabolites. It is found that the drag forces, exerted by a diffusing solute, depend to a very large extent on the physical properties of the solvent.


Free Path Drag Force Kinetic Theory Solute Molecule Mass Velocity 
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Copyright information

© The University of Chicago Press 1942

Authors and Affiliations

  • H. D. Landahl
    • 1
  1. 1.The University of ChicagoChicagoUSA

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