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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

Some mathematical problems in biology


Author: S. I. Rubinow
Journal: Bull. Amer. Math. Soc. 81 (1975), 782-794
MSC (1970): Primary 92A05
MathSciNet review: 0403713
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  • 1. Sol I. Rubinow, Mathematical problems in the biological sciences, Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1973. Ten lectures delivered at the Regional Conference on Mathematical Problems in the Biological Sciences of 5–9 June 1972 at Michigan State University; Conference Board of the Mathematical Sciences Regional Conference Series in Applied Mathematics, No. 10. MR 0462660 (57 #2633)
  • 2. G. A. Brecher, Mechanism of venous flow under different degrees of aspiration, Amer. J. Physiol. 169 (1952), 423-433.
  • 3. G. A. Brecher, Venous return, Grune & Stratton, New York, 1956.
  • 4. A. C. Guyton, Determination of cardiac output by equating venous return curves with cardiac response curves, Physiol. Rev. 35 (1955), 123-129.
  • 5. A. C. Guyton, Venous return, Handbook of Physiology, Section 2: Circulation. Vol. II (W. F. Hamilton & P. Dow, eds.), American Physiological Society, Washington, D.C., 1963, pp. 1099-1133.
  • 6. S. I. Rubinow and J. B. Keller, Flow of a viscous fluid through an elastic tube with applications to blood flow, J. Theoret. Biol. 35 (1972), 299-313.
  • 7. M. R. Roach and A. C. Burton, The reason for the shape of the distensibility curves of arteries, Canad. J. Biochem. & Physiol. 35 (1957), 681-690.
  • 8. D. L. Fry, A preliminary lung model for simulating the aerodynamics of the bronchial tree, Computers & Biomed. Res. 2 (1968), 111-134.
  • 9. J. P. Holt, Flow of liquids through "collapsible" tubes, Circ. Res. 7 (1959), 342-353.
  • 10. J. E. Flaherty, J. B. Keller and S. I. Rubinow, Post buckling behavior of elastic tubes and rings with opposite sides in contact, SIAM J. Appl. Math. 23 (1972), 446-455.
  • 11. S. I. Rubinow and Alice Winzer, Compartment analysis: An inverse problem, Math. Biosci. 11 (1971), 203–247. MR 0298097 (45 #7149)
  • 12. John Z. Hearon, The kinetics of linear systems with special reference to periodic reactions, Bull. Math. Biophys. 15 (1953), 121–141. MR 0054807 (14,982d)
  • 13. S. I. Rubinow, On closed or almost closed compartment systems, Math. Biosciences 18 (1973), 245-253.
  • 14. O. Scherbaum and G. Rasch, Cell size distribution and single cell growth in tetrahymena pyriformis GL, Acta Pathol. Microbiol. Scand. 41 (1957), 161-182.
  • 15. H. Von Foerster, Some remarks on changing populations, The Kinetics of Cellular Proliferation (Frederick Stohlman, ed.), Grune & Stratton, New York and London, 1959, pp. 382-407.
  • 16. S. I. Rubinow, A maturity-time representation for cell populations, Biophys. J. 8 (1968), 1055-1073.
  • 17. D. M. Prescott, Variations in the individual generation times of tetrahymena geleii HS, Exptl. Cell Res. 16 (1959), 279-284.
  • 18. J. L. Lebowitz and S. I. Rubinow, A theory for the age and generation time distribution of a microbial population, J. Math. Biol. 1 (1974/75), no. 1, 17–36. MR 0496810 (58 #15282)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1975-13829-8
PII: S 0002-9904(1975)13829-8