A comprehensive elementary model of the mammalian circulatory system

Area of Science:

• Physiology
• Biophysics
• Mathematical Biology

Background:

• The mammalian circulatory system is a complex network essential for life.
• Understanding its dynamics requires sophisticated modeling approaches.

Purpose of the Study:

• To develop and evaluate a comprehensive mathematical model of the mammalian circulatory system.
• To identify and analyze essential circulatory model parameters and their influence on system behavior.

Main Methods:

• Development of a mathematical model based on hydrodynamic and thermodynamic principles.
• Derivation and examination of analytical relationships for circulatory components.
• Identification and inspection of essential model parameters.

Main Results:

• A comprehensive mathematical model for the mammalian circulatory system was established.
• Analytical relationships for pressures, flow rates, volumes, resistances, and power were derived.
• A consistent set of parameters for the adult human male was provided, with good agreement between model predictions and experimental data.

Conclusions:

• The developed mathematical model provides a robust framework for understanding circulatory system dynamics.
• The model accurately predicts circulatory behavior in adult humans, validating its utility.