The bulletin of mathematical biophysics

, Volume 21, Issue 3, pp 271–282 | Cite as

Mathematical representation of some endocrinological systems

  • Sidney Roston


An integrative mathematical approach to endocrinological homeostasis is presented. By means of it, three homeostatic systems of increasing complexity are analyzed. The two-variable system described embraces the thyroid hormone and the thyrotropic hormone; the three-variable system, calcium, phosphate, and the parathyroid hormone; and the fourvariable system, sodium, water, the antidiuretic hormone, and aldosterone. The Laplace transforms of the variables are found. The handling of these transforms utilizes well-known techniques.


Thyroid Hormone Aldosterone Antidiuretic Hormone Parathyroid Hormone Parathyroid Gland 
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Copyright information

© University of Chicago 1959

Authors and Affiliations

  • Sidney Roston
    • 1
  1. 1.Department of Medicine, School of MedicineUniversity of LouisvilleLouisvilleFrance

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