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Mathematical modeling of cardiac function can provide augmented simulation-based diagnosis tool for complementing and extending human understanding of cardiac diseases which represent the most common cause of worldwide death. As the…

Computational Engineering, Finance, and Science · Computer Science 2021-05-05 Chi Zhang , Jianhang Wang , Massoud Rezavand , Dong Wu , Xiangyu Hu

Cardiovascular diseases are a leading cause of death in the world, driving the development of patient-specific and benchmark models for blood flow analysis. This chapter provides a theoretical overview of the main categories of Reduced…

Numerical Analysis · Mathematics 2025-10-21 Pierfrancesco Siena , Pasquale Claudio Africa , Michele Girfoglio , Gianluigi Rozza

The mathematical modelling of biological systems has historically followed one of two approaches: comprehensive and minimal. In comprehensive models, the involved biological pathways are modelled independently, then brought together as an…

Dynamical Systems · Mathematics 2021-11-16 Eric Ng , Jaycee Morgan Kaufman , Lennaert van Veen , Yan Fossat

The presented multi-scale, closed-loop blood circulation model includes arterial, venous, and portal venous systems, heart-pulmonary circulation, and micro-circulation in capillaries. One-dimensional models simulate large blood vessel flow,…

Medical Physics · Physics 2024-04-03 Jiawei Liu , Hiroshi Suito

Chronic Obstructive Pulmonary Disease (COPD) is a progressive lung disease characterized by airflow limitation. This study develops a systems engineering framework for representing important mechanistic details of COPD in a model of the…

Substantial advances in multi-modal Artificial Intelligence (AI) facilitate the combination of diverse medical modalities to achieve holistic health assessments. We present COMPRER , a novel multi-modal, multi-objective pretraining…

Computer Vision and Pattern Recognition · Computer Science 2024-03-18 Guy Lutsker , Hagai Rossman , Nastya Godiva , Eran Segal

Modern intelligent systems researchers form hypotheses about system behavior and then run experiments using one or more independent variables to test their hypotheses. We present SIERRA, a novel framework structured around that idea for…

Artificial Intelligence · Computer Science 2022-08-17 John Harwell , Maria Gini

Cardiac fluid dynamics fundamentally involves interactions between complex blood flows and the structural deformations of the muscular heart walls and the thin, flexible valve leaflets. There has been longstanding scientific, engineering,…

Spatial perception is central to auditory intelligence, enabling accurate understanding of real-world acoustic scenes and advancing human-level perception of the world around us. While recent large audio-language models (LALMs) show strong…

Audio and Speech Processing · Electrical Eng. & Systems 2025-11-17 S Sakshi , Vaibhavi Lokegaonkar , Neil Zhang , Ramani Duraiswami , Sreyan Ghosh , Dinesh Manocha , Lie Lu

We are interested in a reduced order method for the efficient simulation of blood flow in arteries. The blood dynamics is modeled by means of the incompressible Navier-Stokes equations. Our algorithm is based on an approximated…

Numerical Analysis · Mathematics 2021-04-07 Luca Pegolotti , Martin Pfaller , Alison Marsden , Simone Deparis

Predictive high-fidelity finite element simulations of human cardiac mechanics co\-mmon\-ly require a large number of structural degrees of freedom. Additionally, these models are often coupled with lumped-parameter models of hemodynamics.…

Computational Engineering, Finance, and Science · Computer Science 2020-02-18 Martin R. Pfaller , Maria Cruz Varona , Johannes Lang , Cristóbal Bertoglio , Wolfgang A. Wall

Pulmonary arterial hypertension (PAH) is a progressive cardiopulmonary disease that leads to increased pulmonary pressures, vascular remodeling, and eventual right ventricular (RV) failure. Pediatric PAH remains understudied due to limited…

Many biological and physical systems exhibit behaviour at multiple spatial, temporal or population scales. Multiscale processes provide challenges when they are to be simulated using numerical techniques. While coarser methods such as…

Quantitative Methods · Quantitative Biology 2018-02-12 Cameron A. Smith , Christian A. Yates

Modern intelligent systems researchers employ the scientific method: they form hypotheses about system behavior, and then run experiments using one or more independent variables to test their hypotheses. We present SIERRA, a novel framework…

Robotics · Computer Science 2022-03-10 John Harwell , London Lowmanstone , Maria Gini

Cardiac image analysis remains fragmented across tasks: anatomical segmentation, disease classification, and grounded clinical report generation are typically handled by separate networks trained under different data regimes. No existing…

Computer Vision and Pattern Recognition · Computer Science 2025-12-04 Hania Ghouse , Maryam Alsharqi , Farhad R. Nezami , Muzammil Behzad

Foundation models are transforming neuroscience but are often prohibitively large, data-hungry, and difficult to deploy. Here, we introduce BrainSymphony, a lightweight and parameter-efficient foundation model with plug-and-play integration…

Quantitative Methods · Quantitative Biology 2026-02-13 Moein Khajehnejad , Forough Habibollahi , Devon Stoliker , Adeel Razi

We study a continuum model of the lipid bilayer based on minimizing the free energy of a mixture of water and lipid molecules. This paper extends previous work by Blom & Peletier (2004) in the following ways. (a) It formulates a more…

Soft Condensed Matter · Physics 2020-06-05 Phillip L. Wilson , Huaxiong Huang , Shu Takagi

Hybrid modeling, the combination of first principle and machine learning models, is an emerging research field that gathers more and more attention. Even if hybrid models produce formidable results for academic examples, there are still…

Machine Learning · Computer Science 2021-12-15 Tobias Thummerer , Johannes Tintenherr , Lars Mikelsons

Mathematical models of the human heart are increasingly playing a vital role in understanding the working mechanisms of the heart, both under healthy functioning and during disease. The aim is to aid medical practitioners diagnose and treat…

Numerical Analysis · Mathematics 2023-11-13 Sridhar Chellappa , Barış Cansız , Lihong Feng , Peter Benner , Michael Kaliske

When modeling complex, hierarchical, and time-dynamic systems, such as biological systems, good computational tools are essential. Current tools, while powerful, often lack comprehensive frameworks for modular model composition,…

Quantitative Methods · Quantitative Biology 2025-10-17 Henrik Podéus , Gustav Magnusson , Sasan Keshmiri , Kajsa Tunedal , Nicolas Sundqvist , William Lövfors , Gunnar Cedersund
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