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Purpose <p>In this work we investigate a mathematical model in order to reproduce experimental data of arterial compliance under the action of vasoconstrictors and vasodilators related to pharmacological studies.</p> Methods <p>The considered model is a 3D-shell with active fibers. Model parameters are identified by means of an optimization procedure.</p> Results <p>The resulting model was able to reproduce the experimental data and predict the system behavior in scenarios other than those used for the parameter estimation. This enables the assessment of different scenarios concerning the impact of the molecules on the active or passive contributions of the arterial wall.</p> Conclusion <p>The results suggest that smooth muscle cell contraction modulates stiffness through direct fiber-induced regulation of vascular tone, while parameters related to the passive arterial wall component remain relatively stable across different vasoactive scenarios.</p>

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Validation of a Mathematical Model of Arterial Wall Mechanics with Drug Induced Vasoconstriction Against Ex Vivo Measurements

  • 期刊论文

  • 发表日期：

    2025年9月30日

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  • Sara Costa Faya,
  • Callan Wesley,
  • Marina Vidrascu,
  • Miguel A. Fernández,
  • Pieter-Jan Guns,
  • Damiano Lombardi

摘要

Purpose

In this work we investigate a mathematical model in order to reproduce experimental data of arterial compliance under the action of vasoconstrictors and vasodilators related to pharmacological studies.

Methods

The considered model is a 3D-shell with active fibers. Model parameters are identified by means of an optimization procedure.

Results

The resulting model was able to reproduce the experimental data and predict the system behavior in scenarios other than those used for the parameter estimation. This enables the assessment of different scenarios concerning the impact of the molecules on the active or passive contributions of the arterial wall.

Conclusion

The results suggest that smooth muscle cell contraction modulates stiffness through direct fiber-induced regulation of vascular tone, while parameters related to the passive arterial wall component remain relatively stable across different vasoactive scenarios.