Biology

HIPNO: Symmetry-Aware Physics-Informed Neural Operators for Noninvasive Hemodynamic Inference

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HemodynamicsPhysics-informed n…Symmetry in physics

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This study introduces HIPNO, a physics-informed neural network method that estimates hemodynamic parameters (blood flow characteristics) from non-invasive measurements by addressing mathematical symmetries in cardiovascular models. The approach uses a specialized coordinate system that separates flow and vascular properties, enabling prediction of vascular decay time with 32% lower error than baseline methods while maintaining accuracy for blood pressure measurements. Testing on 945,499 surgical monitoring windows from 2,562 patients demonstrated the method can produce physiologically consistent predictions and identify what additional measurements are needed to determine absolute physical values.


This technology could expand access to detailed cardiovascular monitoring beyond intensive care settings by extracting hemodynamic information from routine, non-invasive measurements. The ability to monitor blood flow and vascular properties without invasive catheters could improve patient safety and enable earlier detection of circulatory problems during surgery and critical care.


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⚠️ Preprint – Noch nicht peer-reviewed

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Abstract: Continuous hemodynamic monitoring guides treatment decisions in surgery and intensive care. However, gold-standard signals are only measured in severe cases due to risks associated with invasive measurement. In this work, we introduce HIPNO (Hemodynamic Inference via Physics-informed Neural Operators) to recover hemodynamic state from ubiquitous, non-invasive signals and expand access to advanced monitoring. HIPNO addresses a problem of scale symmetry in physics-informed hemodynamic inference, where different combinations of flow, resistance, and compliance can generate the same observed pressure. We identify the symmetry group of the observation model and parameterize the network in its quotient space. For the 3-element Windkessel model, the quotient coordinates are the compliance-normalized flow $U=Q/C$, the decay time constant $tau_{WK}=R_2 C$, and the characteristic-impedance coordinate $kappa=R_1 C$. Across 945499 intraoperative windows from 2562 patients, HIPNO predicts $tau_{wave}$, a proxy for vascular decay derived from pressure, with 32% lower error on the log scale than a population baseline while preserving mean arterial pressure accuracy. Because vascular decay and flow drive occupy separate coordinates, counterfactual perturbations produce the expected directional responses in at least 90% of windows in almost all prespecified scenarios, a separation unavailable to pressure-only baselines. The coordinates are also used as inputs to a calibration model for monitored cardiac output. Finally, the formulation identifies the external compliance or flow reference required to recover absolute physical scale.

Source: HIPNO: Symmetry-Aware Physics-Informed Neural Operators for Noninvasive Hemodynamic Inference