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- W2068157218 abstract "A unified theory of biological similarity is proposed, based on dimensional analysis (mass M, length L, diameter D, time T) and on three postulates: (1) the constancy of body density in terrestrial mammals; (2) the elastic similarity criterion (Rashevsky and McMahon) where L ∝ D23; and (3) the proportionality between length (L) and time (T), which is valid for relaxation oscillators. The postulated theoretical model provides a satisfactory correlation (r = 0·9937) between the predicted reduced exponent (b) and 96 allometric exponents (b) obtained from experimental data concerning a number of morphologic and physiologic parameters in animals of different size. The reformulation of a theory of biological similarity is posited mainly for the “internal” organization of organisms, whereas a “mechanical” similarity should be applied when inertial forces are present during animal locomotion (kinematics). Since biological rhythmicity is based on relaxation oscillators (T ∝ L), while in “mechanical” similarity the pendulum (T ∝ L12) is the paradigm of a self-sustained oscillation, these two are the limits of a continuous spectrum of similarity criteria, where the exponent of the time dimension (T) is the essential factor. The four-dimensional nature of biological space is discussed (W ∝ L4), and due to the postulated isometry of length (L) and time (T), periodic phenomena conform to T ∝ W14." @default.
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- W2068157218 date "1982-06-01" @default.
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- W2068157218 title "Theory of biological similarity revisited" @default.
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- W2068157218 doi "https://doi.org/10.1016/0022-5193(82)90230-2" @default.
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