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Related papers: Eye2Heart : a validated lumped-parameter model bri…

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We present a detailed physiological model of the retina that includes the biochemistry and electrophysiology of phototransduction, neuronal electrical coupling, and the spherical geometry of the eye. The model is a parabolic-elliptic system…

Quantitative Methods · Quantitative Biology 2023-03-09 Belal Abuelnasr , Adam R. Stinchcombe

Objective: to develop quantitative methods for the clinical interpretation of the ballistocardiogram (BCG). Methods: a closed-loop mathematical model of the cardiovascular system is proposed to theoretically simulate the mechanisms…

This work presents a biventricular electromechanical human heart model that is comprehensive and clinically relevant, integrating a realistic 3D heart geometry with both systemic and pulmonary hemodynamics. The model uses a two-way…

Medical Physics · Physics 2025-09-05 Milad Hasani , Alireza Rezania , Sam Riahi

The human heart is enclosed in the pericardial cavity. The pericardium consists of a layered thin sac and is separated from the myocardium by a thin film of fluid. It provides a fixture in space and frictionless sliding of the myocardium.…

Computational Engineering, Finance, and Science · Computer Science 2018-12-11 Martin R. Pfaller , Julia M. Hörmann , Martina Weigl , Andreas Nagler , Radomir Chabiniok , Cristóbal Bertoglio , Wolfgang A. Wall

This paper presents a new method for modeling the mechanics of the aortic valve, and simulates its interaction with blood. As much as possible, the model construction is based on first principles, but such that the model is consistent with…

Tissues and Organs · Quantitative Biology 2021-10-15 Alexander D. Kaiser , Rohan Shad , William Hiesinger , Alison L. Marsden

Analyzing the dynamics of open quantum systems has a long history in mathematics and physics. Depending on the system at hand, basic physical phenomena that one would like to explain are, for example, convergence to equilibrium, the…

Mathematical Physics · Physics 2015-06-15 Laurent Bruneau , Alain Joye , Marco Merkli

Whole-body hemodynamics simulators, which model blood flow and pressure waveforms as functions of physiological parameters, are now essential tools for studying cardiovascular systems. However, solving the corresponding inverse problem of…

Numerical model of the peripheral circulation and dynamical model of the large vessels and the heart are discussed in this paper. They combined together into the global model of blood circulation. Some results of numerical simulations…

Biological Physics · Physics 2007-12-31 S. S. Simakov , A. S. Kholodov , A. V. Evdokimov , Y. A. Kholodov

Recent research is revealing how cognitive processes are supported by a complex interplay between the brain and the rest of the body, which can be investigated by the analysis of physiological features such as breathing rhythms, heart rate,…

Quantitative Methods · Quantitative Biology 2023-03-10 Fernando E. Rosas , Diego Candia-Rivera , Andrea I Luppi , Yike Guo , Pedro A. M. Mediano

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

Physics-based modeling and dynamic simulation of human eye movements has significant implications for improving our understanding of the oculomotor system and treating various visuomotor disorders. We introduce an open-source biomechanical…

Biological Physics · Physics 2018-07-20 Konstantinos Filip , Dimitar Stanev , Konstantinos Moustakas

We propose a quite general model of active media by consideration of the interaction between pacemakers via their phase response curves. This model describes a network of pulse oscillators coupled by their response to the internal…

Chaotic Dynamics · Physics 2007-05-23 Sergei Rybalko , Ekaterina Zhuchkova

Intracardiac flow patterns are shaped by the coupled motion of the cardiac chambers and heart valves and provide important information about cardiac function. However, clinical flow imaging remains limited by exam times, noise, resolution,…

Image and Video Processing · Electrical Eng. & Systems 2026-05-12 Fanwei Kong , Aaron Brown , Michael Loecher , Perry S. Choi , Lei Shi , Michael Ma , Daniel B. Ennis , Alison Marsden

The liver has a unique blood supply system and plays an important role in the human blood circulatory system. Thus, hemodynamic problems related to the liver serve as an important part in clinical diagnosis and treatment. Although…

Numerical Analysis · Mathematics 2021-10-15 Ting Wu , Keqin Liu , Emily Fainman , Ying Wang

Virtual heart models have been proposed to enhance the safety of implantable cardiac devices through closed loop validation. To communicate with a virtual heart, devices have been driven by cardiac signals at specific sites. As a result,…

Systems and Control · Computer Science 2017-03-06 Weiwei Ai , Nitish Patel , Partha Roop , Avinash Malik , Nathan Allen , Mark L. Trew

Cerebral autoregulation plays a key physiological role by limiting blood flow changes in the face of pressure fluctuations. Although the involved cellular processes are mechanically driven, the quantification of haemodynamic forces in…

Quantitative Methods · Quantitative Biology 2024-11-15 Alberto Coccarelli , Ioannis Polydoros , Alex Drysdale , Osama F. Harraz , Chennakesava Kadapa

We present a unified mathematical framework for modeling blood and lymph flow in biological vessels, with a particular focus on lymph transport through lymphangions. Starting from first principles, we rigorously derive a system of partial…

Analysis of PDEs · Mathematics 2026-03-03 Bogna Jaszczak-Dyka , Łukasz Płociniczak

There exists a large body of research on the lens of mammalian eye over the past several decades. The objective of the current work is to provide a link between the most recent computational models to some of the pioneering work in the…

Tissues and Organs · Quantitative Biology 2019-05-24 Yi Zhu , Shixin Xu , Robert S. Eisenberg , Huaxiong Huang

Mathematical models of cardiac electrical activity are one of the most important tools for elucidating information about the heart diagnostic. Even though it is one of the major problems in biomedical research, an efficient mathematical…

A noteworthy aspect in blood flow modeling is the definition of the mechanical interaction between the fluid flow and the biological structure that contains it, namely the vessel wall. It has been demonstrated that the addition of a viscous…

Fluid Dynamics · Physics 2022-06-14 Francesco Piccioli , Giulia Bertaglia , Alessandro Valiani , Valerio Caleffi