Principles of Biological Regulation. An Introduction to by Richard Jones

By Richard Jones

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Additional resources for Principles of Biological Regulation. An Introduction to Feedback Systems

Sample text

Q3 lags behind Q2 for the same reason that Q2 lags behind Qu and Q 3 consists of the sum of two exponentials. c. The response of Q3 to this disturbance may be shown to contain three components. (1) The steady state, Q3 = Q i. (2) A transient, — d exp(—t/Ti), contributed by the first tank. (3) A transient, +C 2 exp(—t/T2), contributed by the second tank. The constants —d and C 2 have magnitudes such that the sum of the three components is zero at t = 0. The transients disappear as t —» °°. d. The above discussion may be generalized as follows.

D. The physical system may be depicted by a number of block diagrams, that is, the block diagram may show varying amounts of detail ranging from a complete picture of all the subsidiary processes on the one hand, to a single block for the entire system on the other. In between these two extremes one may draw block diagrams to depict certain dependent variables and eliminate others as shown in (c) and (d). e. The blocks appearing in a given diagram may be viewed as a physical system by which the input and output variables are related.

2 FLOW PROCESSES IN THE STEADY STATE References Becker, B. and Shaffer, R. N. (1961). " C. V. , St. Louis. Brownell, G. B. and Ashare, A. B. (1967). Definition of pool and space. AEC Conf. 661010, Compartments, Pools, and Spaces. Guillemin, E. A. (1953). " Chap. 3, Wiley, New York. Rich, A. (1969). " Sei. Amer. , 126. Riggs, D. S. (1963). " Chapter 7. Williams & Wilkins, Baltimore, Maryland. Riggs, D. S. (1970). " Williams & Wilkins, Baltimore, Maryland. Waterman, T. H. (1968). Systems theory and biology —View of a biologist.

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