Nonlinear diffusion in metabolic systems
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Some general properties of the solution of the diffusion equation are deduced for the steady-state, spherically symmetric system. On the basis of these developments some results of N. Rashevsky (Bull. Math. Biophysics,11, 15, 1949) are discussed and the results of a previous investigation (Hearon,Bull. Math. Biophysics,12, 135, 1950b) are extended to more general conditions. In particular these extensions apply to the flow of a soluteagainst its concentration gradient, the nonzero gradient of an inert metabolite, and theaccumulation or exclusion of an inert metabolite in a metabolic system.
KeywordsBiophysics Volume Metabolic System Nonlinear Diffusion Constant Sign Symmetric System
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- Hearon, J. Z. 1950a. “The Steady State Kinetics of Some Biological Systems: IV. Thermodynamic Aspects.”Bull. Math. Biophysics,12, 85–106.Google Scholar
- — 1950b. “Some Cellular Diffusion Problems Based On Onsager's Generalization of Fick's Law.”Ibid.,12, 135–59.Google Scholar
- Onsager, L. 1945. “Theoreies and Problems of Liquid Diffusion.”Ann. N.Y. Acad. Sci.,46, 241–65.Google Scholar
- Reid, A. T. 1951. “On the Diffusion of Metabolic Intermediates.”Bull. Math. Biophysics,13, 31–37.Google Scholar