Abstract
The methods of C. W. Sheppard and A. S. Householder (Jour. App. Physcis,22, 510–20, 1951), H. D. Landahl (Bull. Math. Biophysics,16, 151–54, 1954) and H. E. Hart (Bull. Math. Biophysics,17, 87–94, 1955;ibid.,19, 61–72, 1957;ibid.,20, 281–87, 1958) are employed in studying the kinetics of generalN compartment systems. It is shown that the nature of the transfer processes occurring in fluid flow systems and the chemical processes occurring in quadratic systems and in catalyzed quadratic systems can in principle be completely determined for all polynomial dependencies. Systems involving three-body and higher-order interactions can be completely solved, however, only if supplementary information is available.
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Literature
Hart, H. E. 1955. “Analysis of Tracer Experiments in Non-Conservative Steady-State Systems.”Bull. Math. Biophysics,17, 87–94.
— 1957. “Analysis of Tracer Experiments: II. Non-Conservative Non-Steady-State Systems.”,19, 61–72.
— 1958. “Analysis of Tracer Experiments: III. Homeostatic Mechanisms in Fluid Flow Systems”,20, 281–87.
Landahl, H. D. 1954. “Note on the Interpretation of Tracer Experiments in Biological Systems.”Bull. Math. Biophysics,16, 151–54.
Sheppard, C. W. and A. S. Householder. 1951. “The Mathematical Basis of the Interpretation of Tracer Experiments in Closed Steady State Systems.”Jour. Appl. Physics,22, 510–20.
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Research supported by the Atomic Energy Commission, Contract AT (30-1)-1551.
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Hart, H.E. Analysis of tracer experiments: IV. The kinetics of generalN compartment systems. Bulletin of Mathematical Biophysics 22, 41–52 (1960). https://doi.org/10.1007/BF02477970
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DOI: https://doi.org/10.1007/BF02477970