Hybrid reduced-order models for real-time simulation of blood perfusion in parameterized lobular structures
Abstract
Perfusion through a liver lobule is influenced by a range of physiological parameters such as lobule geometry, permeability, blood viscosity, and pressure gradients. We present a hybrid reduced-order modeling approach for real-time simulation of perfusion profiles in 2D lobular structures of the liver that addresses all these parametric aspects. Building on our previous work in Siddiqui et al. (Adv Model Simul Eng Sci 11:22, 2024), we extend the methodology to incorporate a broader range of physiological parameters and multiple interconnected lobules, and introduce hybrid reduced-order representations, thereby achieving even greater computational speedups. We illustrate our reduced-order representations through a stepwise construction, sequentially incorporating different aspects of the parameterized perfusion model. To demonstrate the viability of our approach, we first focus on a model of a single lobule. It is then extended to a model of several interconnected lobules via the formulation of suitable coupling terms. Our simulation results show that our hybrid reduced-order modeling approach is up to three orders of magnitude faster than corresponding high-fidelity finite element computations. At the same time, it maintains responsiveness to physical stimuli and produces results for variations in health conditions that are consistent with clinical experience.
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BibTeX
@article{siddiqui2026hybrid,
title = {{Hybrid reduced-order models for real-time simulation of blood perfusion in parameterized lobular structures}},
author = {Ahsan Ali Siddiqui and Stein Stoter and David Néron and Dominik Schillinger},
journal = {Computational Mechanics},
year = {2026},
month = oct,
doi = {10.1007/s00466-025-02681-7},
url = {https://hal.science/hal-05804121v1},
note = {CC BY},
}
RIS
TY - JOUR
TI - Hybrid reduced-order models for real-time simulation of blood perfusion in parameterized lobular structures
AU - Ahsan Ali Siddiqui
AU - Stein Stoter
AU - David Néron
AU - Dominik Schillinger
PY - 2026
DA - 2026/10/17
JO - Computational Mechanics
DO - 10.1007/s00466-025-02681-7
UR - https://hal.science/hal-05804121v1
AB - Perfusion through a liver lobule is influenced by a range of physiological parameters such as lobule geometry, permeability, blood viscosity, and pressure gradients. We present a hybrid reduced-order modeling approach for real-time simulation of perfusion profiles in 2D lobular structures of the liver that addresses all these parametric aspects. Building on our previous work in Siddiqui et al. (Adv Model Simul Eng Sci 11:22, 2024), we extend the methodology to incorporate a broader range of physiological parameters and multiple interconnected lobules, and introduce hybrid reduced-order representations, thereby achieving even greater computational speedups. We illustrate our reduced-order representations through a stepwise construction, sequentially incorporating different aspects of the parameterized perfusion model. To demonstrate the viability of our approach, we first focus on a model of a single lobule. It is then extended to a model of several interconnected lobules via the formulation of suitable coupling terms. Our simulation results show that our hybrid reduced-order modeling approach is up to three orders of magnitude faster than corresponding high-fidelity finite element computations. At the same time, it maintains responsiveness to physical stimuli and produces results for variations in health conditions that are consistent with clinical experience.
SN - 0178-7675
SN - 1432-0924
ER -