Mathematical Problems in the Biological Sciences 10 by Sol I. Rubinow

By Sol I. Rubinow

Represents a small and hugely selective pattern of the quantitative method of biology. the writer encourages the reader to disseminate additional the reason for arithmetic utilized to the organic sciences.

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Soc. Mem. , 42, no. 9 (1898). [16] J. R. WOMERSLEY, Wright Air Development Center, Tech. Rep. WADC-TR56-614(1958) (compilation of all publications of the author devoted to blood flow). [17] S. I. RUBINOW AND JOSEPH B. KELLER, J. Acoust. Soc. , 50 (1971), p. 198. [18] , in Hemorheology, Proc. First Int. Conference, Reykjavik, Iceland, 1966, Pergamon, Oxford/New York, 1968, p. 149. [19] DONALD A. MCDONALD, Blood Flow in Arteries, Edward Arnold, London, 1960, p. 271. LECTURE 3 Tracer Analysis of Physiological Systems, I The subject of compartment analysis has arisen in the last twenty-five years or so, largely as the result of the introduction of radioactive tracers into biology [l]-[3].

Math. , 15 (1953), p. 121. , Annals N. Y. Acad. , 108 (1963), p. 36. LECTURE 4 Tracer Analysis of Physiological Systems, II We continue our discussion of the previous lecture with the central problem of compartment analysis: given A and partial knowledge of A, what are the compatible matrices L and V. This problem which is inverse to the direct problem may be called the inverse problem. The first task posed by this problem is to convert the raw data, namely, the observations of x t ( t ) , x2(t), etc.

S. HALDANE, Biochem. , 19 (1925), p. 338. [5] H. LINEWEAVER AND D. BURK, J. Amer. Chem. , 56 (1934), p. 658. [6] H. K. MILLER AND M. E. BALIS, Biochem. , 18 (1969), p. 2225. [7] S. I. RUBINOW AND JOEL L. LEBOWITZ, J. Amer. Chem. , 92 (1970), p. 3888. LECTURE 6 Enzyme Kinetics, II There are three aspects of enzyme kinetics I would like to discuss in this lecture: cooperative phenomena, allosteric enzymes, and the use of graph theory. A. COOPERATIVE PHENOMENA. Enzymes are macromolecules whose structure permits them to engage in a variety of interactions utilizing many kinds of chemical bonds.

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