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Updated: Jul 24, 2025

Lumped-Parameter and Finite Element Modeling of Heart Failure with Preserved Ejection Fraction
Published on: February 13, 2021
Modeling essential hypertension with a closed-loop mathematical model for the entire human circulation.
Morena Celant1, Eleuterio F Toro2, Giulia Bertaglia3
1Department of Mathematics, University of Trento, Trento, Italy.
Computational models can help understand hypertension, a condition affecting blood pressure and cardiovascular health. This study uses a multi-scale model to simulate hypertension, revealing its widespread impact on the circulatory system.
Area of Science:
- Cardiovascular Physiology
- Mathematical Modeling
- Computational Biology
Background:
- Arterial hypertension is a significant global health issue, leading to millions of deaths annually.
- Despite existing treatments, adequate blood pressure control remains a challenge for many hypertensive patients.
- Computational models offer a novel approach to dissect the complex cardiovascular dynamics in hypertension.
Purpose of the Study:
- To develop and utilize a multi-scale mathematical model of the entire human circulation.
- To simulate a hypertensive scenario by introducing relevant alterations into the model.
- To investigate the systemic impact of hypertension across different cardiovascular compartments.
Main Methods:
- A global, closed-loop, multi-scale mathematical model of the human circulatory system was employed.
- The model was adapted to represent key cardiovascular changes associated with hypertension.
- Simulations focused on alterations in systemic arteries, heart, microcirculation, pulmonary circulation, and venous system.
Main Results:
- The adapted model successfully reproduced a hypertensive physiological state.
- Simulations demonstrated the interconnected effects of hypertension across the entire cardiovascular system.
- Model outputs were validated against established knowledge of hypertension's impact.
Conclusions:
- Mathematical modeling provides a valuable tool for understanding hypertension's complex pathophysiology.
- The study highlights how hypertension affects multiple components of the cardiovascular system, not just major arteries.
- This approach can aid in better quantifying the role of various cardiovascular factors in hypertension.
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