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Published on: February 13, 2021
A comparison of overall mathematical models of the cardiovascular system for simulating response to orthostatic
E H Karam1, R S Srinivasan, J B Charles
1Space Biomedical Research Institute, NASA Johnson Space Center, Houston, TX 77058.
Insights
This study evaluates three mathematical models of the cardiovascular system (CVS) for their accuracy in simulating responses to various orthostatic stresses like lower body negative pressure (LBNP) and blood loss.
Area of Science:
- Physiology
- Biomedical Engineering
- Mathematical Modeling
Background:
- Numerous cardiovascular system (CVS) models exist, but few comprehensively model the heart, vasculature, and control elements.
- Existing models vary in complexity and are often stimulus-specific, with limited reported accuracy across diverse stimuli.
- The ability of mathematical models to accurately simulate responses to a wide range of orthostatic stresses has not been well-established.
Purpose of the Study:
- To examine and compare the performance of three distinct mathematical models of the CVS.
- To assess the models' accuracy in simulating short-term orthostatic responses to lower body negative pressure (LBNP), head-up tilt, and blood loss.
- To validate model responses against available experimental data for orthostatic stress simulations.
Main Methods:
- Evaluation of three mathematical models: Croston and Fitzjerrell's (C), Jaron et al.'s (J), and Pullen's (P).
- Simulation of cardiovascular responses to orthostatic stresses including lower body negative pressure (LBNP), head-up tilt, and simulated blood loss.
- Comparison of simulated short-term orthostatic responses with existing experimental data.
Main Results:
- Model C was used to study lower body negative pressure (LBNP) and head-up tilt responses.
- Model J was employed for simulating +Gz response.
- Model P was utilized for simulating response to blood loss. (Note: Specific quantitative results comparing models to data are not detailed in the abstract).
Conclusions:
- The study provides an examination of three mathematical models for cardiovascular system (CVS) simulation under orthostatic stress.
- Comparison of model responses to experimental data is crucial for validating their predictive capabilities.
- Further research is needed to establish the accuracy and limitations of these models across various physiological challenges.
Abstract:
Although numerous mathematical models of the cardiovascular system (CVS) have appeared in the literature only a few of them are models of the entire system with detailed representation of the heart, the vasculature, and the control elements. Like all models of biological systems, these models vary in complexity, and most of them are stimulus- specific. Their ability to simulate with acceptable accuracy either responses over a wide range of the stimulus or responses to stimuli of similar kind has not been reported. In this paper, three mathematical models of the CVS are examined in terms of their response to different orthostatic stresses, namely, lower body negative pressure (LBNP), head-up tilt, and blood loss. The short-term orthostatic responses of the models are compared to available experimental data. The models are: (i) Croston and Fitzjerrell's for study of LBNP and head-up tilt response, (ii) Jaron et al.'s for study of +Gz response, and (iii) Pullen's for simulation of response to blood loss. We will henceforth refer to these models by the letters C, J, and P, respectively.
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