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An algebraic model for blood concentrations

S Tauber

    Research Communications in Chemical Pathology and Pharmacology
    |December 1, 1980
    PubMed
    Summary

    This study analyzes substance exchange between organs and blood vessels using input-output models. Blood substance concentrations are mathematically represented, paving the way for future holistic analyses.

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    Area of Science:

    • Physiology
    • Biomathematics
    • Systems Biology

    Background:

    • Understanding organ-to-blood substance exchange is crucial for physiology.
    • Current models often lack a unified mathematical framework for representing concentration dynamics.

    Purpose of the Study:

    • To analyze and represent the exchange of substances between organs and blood vessels.
    • To develop a mathematical framework for representing blood substance concentrations.

    Main Methods:

    • Input-output analysis was employed to model substance exchange.
    • Algebraic methods were used to represent substance concentrations in the blood.

    Main Results:

    • Substance exchange was successfully represented in an input-output format.
    • Blood substance concentrations were shown to be representable by scators.

    Conclusions:

    • The study provides a novel mathematical approach to model substance exchange and concentration.
    • A scator-based representation offers a foundation for future holistic physiological models.

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