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Download Biological and Biochemical Oscillators by B. Chance, etc. PDF

By B. Chance, etc.

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This construction has a straight line with the maximum slope of fixjj), which passes through its inflection point with abcissa x£ n * . Now with the help of the new 54 BIOCHEMICAL OSCILLATORS *f n f l variable ξ = x*/x it is possible to evaluate N as shown in (13 and 14)? Ax. can be characterized by its corresponding transfer function T(s). This function can be found by solving for the ratio of the Laplace transformation of the last variable A X ^ s ) over the Laplace transformation of the first Ax^(s), assuming that all the initial conditions are identically zero [x^(0) ■ 0 ] .

There are many other electrochemical systems now known which behave quite similarly. Oscillations are frequently observed in electrochemical systems (10,27) because non-monotonic currentvoltage characteristics readily arise when electrolytic layers are precipitated on electrodes, these being dependent on the potential of the electrode (27,28). , are particularly susceptible to oscillations and instability phenomena. In the iron wire nerve model the driving forces are the electrode potential, U, and the concentration, C, of nitrous acid being simultaneously produced.

Z. Phys. , _72, 508 (1910). 12. , J. Am. Chem. , 1595 (1920). 40 STABILITY PROPERTIES OF METABOLIC PATHWAYS WITH FEEDBACK INTERACTIONS Gustavo Viniegra-Gonzalez Cardiovascular Research Institute University of California San Francisco Medical Center In the search for a basis of biochemical oscillations, various chemical schemes have already been considered. For example, Spangler and Snell (1961), Higgins (1967) and Pye and Chance (1966) have thought of actually occurring special reactions which might be ultimately describable by Volterra's equations and which therefore may very well lead to oscillations.

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