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Mathematical formulation of cardiovascular dynamics by use of the laplace transform

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Abstract

By means of the Laplace transform, the behavior of a simplified model of the cardiovascular system is mathematically formulated. This formulation allows mathematical expression of the periodicity of the cardiac output and the systemic response. With the cardiac output represented as half of a sine function cycle, the systolic aortic pressure becomes the sum of a sine term and exponential terms, while the sum of the exponential terms alone represents the diastolic pressure. The characteristics of the mathematical expressions for systole and diastole are analyzed, and some relationships of potentially practical value are derived. Variation in the parameters of the system yields mathematical results consistent with the expected physical ones.

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Authors and Affiliations

  1. Department of Medicine, School of Medicine, University of Louisville, Louisille, France

    Sidney Roston

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  1. Sidney Roston
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Roston, S. Mathematical formulation of cardiovascular dynamics by use of the laplace transform. Bulletin of Mathematical Biophysics 21, 1–11 (1959). https://doi.org/10.1007/BF02476454

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  • DOI: https://doi.org/10.1007/BF02476454

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