SIMAI 2025

Mathematical Modeling of Cardiovascular Shock: Towards a Patient-Specific Simulation Framework for Therapy Optimization

  • Laudenzi, Bianca Maria (University of Trento)
  • Lassola, Sergio (Santa Chiara Hospital)
  • Cucino, Alberto (Santa Chiara Hospital)
  • Balzani, Eleonora (University of Trento)
  • Bellani, Giacomo (University of Trento; Santa Chiara Hospital)
  • Müller, Lucas (University of Trento)

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Cardiovascular shock is a critical and complex condition characterized by circulatory failure that results in inadequate cellular oxygen supply. It is a common condition in critical care, affecting about one-third of patients in the intensive care unit. To investigate its underlying dynamics and support future therapeutic decision-making, we present the development of a mathematical modeling framework aimed at simulating cardiovascular bio-signals under shock conditions and predicting responses to therapeutic interventions. The bio-signals of clinical relevance are simulated using a 0D global closed-loop model. The model captures major components of cardiovascular function, including heart chamber mechanics, systemic and pulmonary circulation, respiration, gas exchange and transport, pH regulation, and primary short-term control mechanisms. At the current stage, we are focusing on reproducing hemodynamic patterns consistent with various forms of cardiovascular shock. Preliminary simulations aim to assess the model’s ability to represent pathological scenarios such as cardiogenic shock. Future developments will include the integration of a pharmacokinetic-pharmacodynamic module to simulate the effects of vasoactive agents such as vasopressors and inotropes. This addition will enable the exploration of therapeutic interventions in silico and represent a step toward building patient-specific simulation tools. This work represents a promising foundation for the future development of personalized digital tools in critical care, with the long-term goal of supporting clinical decision-making and improving patient outcomes.