Abstract
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.
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Roston, S. Mathematical representation of some endocrinological systems. Bulletin of Mathematical Biophysics 21, 271–282 (1959). https://doi.org/10.1007/BF02477915
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DOI: https://doi.org/10.1007/BF02477915