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Dynamical similarity and the theory of biological transformations. (English) Zbl 0412.92003


MSC:

92B05 General biology and biomathematics
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References:

[1] Buckingham, E. 1915. ”On Physically Similar Systems.”Phys. Rev.,4, 345–370. · doi:10.1103/PhysRev.4.345
[2] Fowler, D. H. 1972. ”The Riemann-Hugoniot Catastrophe and the van der Waals Equation.” InTowards a Theoretical Biology, Ed. C. H. Waddington, Vol. 4, pp. 1–7. Chicago: Aldine-Atherton Inc.
[3] Rashevsky, N. 1960.Mathematical Biophysics. 3rd Edition. New York Dover Publications. · JFM 64.1148.01
[4] Rosen, R. 1962. ”The Derivation of D’Arcy Thompson’s Theory of Transformations from the Principle of Optimal Design.”Bull. Math. Biophys.,24, 279–290. · doi:10.1007/BF02477959
[5] – 1967.Optimality Principles in Biology. London: Butterworths. · Zbl 0162.51902
[6] Stahl, W. R. 1962. ”Dimensional Analysis in Mathematical Biology.”Bull. Math. Biophys.,24, 81–108. · Zbl 0109.13502 · doi:10.1007/BF02477867
[7] Thom, R. 1975.Structural Stability and Morphogenesis. (Trans. D. H. Fowler). Reading: W. A. Benjamin, Inc. · Zbl 0303.92002
[8] Thompson, D., Arcy W. 1917.On Growth and Form. Cambridge: The University Press.
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