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- Title
Total Effective Vascular Compliance of a Global Mathematical Model for the Cardiovascular System.
- Authors
Celant, Morena; Toro, Eleuterio F.; Müller, Lucas O.
- Abstract
In this work, we determined the total effective vascular compliance of a global closed-loop model for the cardiovascular system by performing an infusion test of 500 mL of blood in four minutes. Our mathematical model includes a network of arteries and veins where blood flow is described by means of a one-dimensional nonlinear hyperbolic PDE system and zero-dimensional models for other cardiovascular compartments. Some mathematical modifications were introduced to better capture the physiology of the infusion test: (1) a physiological distribution of vascular compliance and total blood volume was implemented, (2) a nonlinear representation of venous resistances and compliances was introduced, and (3) main regulatory mechanisms triggered by the infusion test where incorporated into the model. By means of presented in silico experiment, we show that effective total vascular compliance is the result of the interaction between the assigned constant physical vascular compliance and the capacity of the cardiovascular system to adapt to new situations via regulatory mechanisms.
- Subjects
MATHEMATICAL models; BLOOD volume; BLOOD flow; CARDIOVASCULAR system; PHYSICAL constants; VEINS
- Publication
Symmetry (20738994), 2021, Vol 13, Issue 10, p1858
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym13101858