12–17 Jul 2026
University of Graz
Europe/Vienna timezone

A Conservative Network Framework for Coupled Hemodynamics and Physiological Transport

15 Jul 2026, 11:30
20m
03.01 - SR (University of Graz)

03.01 - SR

University of Graz

30
Contributed Talk Immunobiology & Infection Contributed Talks

Speaker

Lester Caudill (University of Richmond)

Description

We present a discrete-time compartmental model for human circulation that couples pulsatile blood flow with physiological transport processes. The cardiovascular system is represented as a conservative network of interconnected compartments corresponding to major organs and vascular regions, including the heart, lungs, brain, kidneys, liver, gastrointestinal system, systemic tissue beds, and venous reservoir. Blood volume is treated as the primary dynamical state variable, allowing natural enforcement of global conservation laws while deriving pressures from compartment compliance relationships.
Flows between compartments are driven by pressure differences and vascular resistances, with directional flow enforced through valve-like constraints. Cardiac pumping is modeled through periodically varying ventricular compliance, producing pulsatile circulation within a computationally efficient reduced-order framework.
A primary motivation for the model is extension to transported substances such as oxygen, sodium, glucose, metabolic waste, hormones, and pharmaceuticals. Because transport follows dynamically computed blood flow, the framework naturally supports coupling among circulation, metabolism, filtration, and organ-level exchange. Future directions include autoregulation, biochemical transport, and applications to collateral organ dysfunction and sepsis.

Author

Lester Caudill (University of Richmond)

Presentation materials

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