Functions and Relations

  • Ronald J. Tallarida
  • Leonard S. Jacob


The mathematical symbols used in this book are in common usage in the literature dealing with the quantitative aspects of pharmacology and, for the most part, conform to standard mathematical usage. In our choice of variables, however, we preferred, in some instances, to use single letter symbols such as x, y, and E as variables, rather than the more descriptive symbols such as “conc.” (for concentration), “vol” (for volume), “Eff” (for effect), etc. Our usage was dictated by a desire to reduce the bulk of notation in situations in which there was some reasonable amount of manipulation.


Exponential Function Linear Form Logarithmic Function Irrational Number Scatchard Plot 


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    Dahlstrom, B. E., and Paalzow, L. K.: J. Pharmacokin. Biopharm., 3: 293. 1975.CrossRefGoogle Scholar
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    Michaelis, L., and Menten, M. L.: Biochem. Z., 49: 333, 1913.Google Scholar
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    Scatchard, G.: Ann. N.Y. Acad. Sci., 51: 660, 1949.CrossRefGoogle Scholar
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    Solomon, A. K.: in Mineral Metabolism I, part A, (Cornar, C. L., and Bronner, F. eds.) New York, Academic Press, 1960, p. 119.Google Scholar

Additional Readings

  1. Batschelet, E. Introduction to Mathematics for Life Scientists. New York, Springer-Verlag, 1973.Google Scholar
  2. Crowe, A., and Crowe, A. Mathematics for Biologists. London, Academic Press, 1969.Google Scholar
  3. Franklin, D. A., and Newman, G. B. A Guide to Medical Mathematics. New York, John Wiley, 1973.Google Scholar
  4. Grossman, S. I., and Turner, J. E. Mathematics for the Biological Sciences. New York, Macmillan, 1974.Google Scholar
  5. Rainville, E. D. Elementary Differential Equations. 5th ed. New York, Macmillan, 1974.Google Scholar
  6. Rubinow, S. I. Introduction to Mathematical Biology. New York, John Wiley, 1975.Google Scholar
  7. Thomas, G. B. Calculus and Analytic Geometry, 5th ed. Reading, Mass., Addison-Wesley, 1979.Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1979

Authors and Affiliations

  • Ronald J. Tallarida
    • 1
  • Leonard S. Jacob
    • 2
    • 3
    • 4
  1. 1.Temple University School of MedicinePhiladelphiaUSA
  2. 2.Department of AnesthesiologyUniversity of Pennsylvania School of MedicinePhiladelphiaUSA
  3. 3.Department of PharmacologyUniversity of Pennsylvania School of MedicinePhiladelphiaUSA
  4. 4.Medical College of PennsylvaniaPhiladelphiaUSA

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