Unraveling autonomic cardiovascular control complexity during orthostatic stress: Insights from a mathematical model

IF 1.9 4区 数学 Q2 BIOLOGY Mathematical Biosciences Pub Date : 2024-10-10 DOI:10.1016/j.mbs.2024.109306
Martin Miranda Hurtado , Rafael Kaempfer , Justen R. Geddes , Mette S. Olufsen , Maria Rodriguez-Fernandez
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Abstract

Understanding cardiovascular control mediated by the autonomic system remains challenging due to its inherent complexity. Consequently, syndromes such as orthostatic intolerance continue to evoke debates regarding the underlying pathophysiological mechanisms. This study develops a comprehensive mathematical model simulating the control of the sympathetic branch of the cardiovascular system in individuals with normal and abnormal responses to the head-up-tilt test. We recruited four young women: one control, one with vasovagal syncope, one with orthostatic hypertension, and one with orthostatic hypotension, exposing them to an orthostatic head-up tilt test (HUTT) employing non-invasive methods to measure electrocardiography and continuous blood pressure.
Our work encompasses a compartmental model formulated using a system of ordinary differential equations. Using heart rate as input, we predict blood pressure, flow, and volume in compartments representing the veins, arteries, heart, and the sympathetic branch of the baroreflex control system. The latter is modulated by high- and low-pressure baroreceptor afferents activated by changes in blood pressure induced by the HUTT. Sensitivity analysis, parameter subset selection, and optimization are employed to estimate patient-specific parameters associated with autonomic performance. The model has seven sensitive and identifiable parameters with significant physiological relevance that can serve as biomarkers for patient classification.
Results show that the model can reproduce a spectrum of blood pressure responses successfully, fitting the trajectory displayed by the experimental data. The controller exhibits behavior that emulates the operation of the sympathetic system. These encouraging findings underscore the potential of computational methods in evaluating pathologies associated with autonomic nervous system control, warranting further exploration and novel approaches.
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揭示正压力时自律性心血管控制的复杂性:数学模型的启示
由于自律神经系统固有的复杂性,了解它对心血管的控制仍然具有挑战性。因此,诸如直立性不耐受等综合征仍在引起有关其潜在病理生理机制的争论。本研究建立了一个全面的数学模型,模拟了心血管系统交感神经分支对抬头仰卧试验的正常和异常反应。我们招募了四名年轻女性:一名对照组、一名血管迷走性晕厥患者、一名直立性高血压患者和一名直立性低血压患者,采用无创方法测量心电图和连续血压,让她们接受直立性抬头倾斜试验(HUTT)。我们的工作包括使用常微分方程系统建立一个分区模型。使用心率作为输入,我们预测了代表静脉、动脉、心脏和巴反射控制系统交感神经分支的分区中的血压、血流和血量。后者由 HUTT 引起的血压变化激活的高压和低压气压感受器传入进行调节。利用敏感性分析、参数子集选择和优化来估算与自律神经表现相关的患者特异性参数。该模型有七个敏感且可识别的参数,这些参数具有重要的生理相关性,可作为患者分类的生物标志物。结果表明,该模型能成功再现血压反应谱,与实验数据显示的轨迹相吻合。控制器表现出模拟交感系统运行的行为。这些令人鼓舞的发现强调了计算方法在评估与自主神经系统控制有关的病理方面的潜力,值得进一步探索和采用新方法。
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来源期刊
Mathematical Biosciences
Mathematical Biosciences 生物-生物学
CiteScore
7.50
自引率
2.30%
发文量
67
审稿时长
18 days
期刊介绍: Mathematical Biosciences publishes work providing new concepts or new understanding of biological systems using mathematical models, or methodological articles likely to find application to multiple biological systems. Papers are expected to present a major research finding of broad significance for the biological sciences, or mathematical biology. Mathematical Biosciences welcomes original research articles, letters, reviews and perspectives.
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