Mathematical modeling of the vascular system
Tissues and Organs
2021-04-23 v1
Abstract
In this article, we review the mathematical modeling for the vascular system.
Cite
@article{arxiv.2102.11064,
title = {Mathematical modeling of the vascular system},
author = {Ju Liu and Ingrid S. Lan and Alison L. Marsden},
journal= {arXiv preprint arXiv:2102.11064},
year = {2021}
}
Related papers
View all related →
Dynamical Systems · Mathematics
Mathematical modelling of the cardiovascular system
Alfio Quarteroni
2007-05-23
Biological Physics · Physics
Numerical simulations of cardiovascular diseases and global matter transport
S. S. Simakov, A. S. Kholodov, A. V. Evdokimov, Y. A. Kholodov
2007-12-31
Chaotic Dynamics · Physics
A mathematical model of the metabolic process of atherosclerosis
V. I. Grytsay
2017-07-25
Quantitative Methods · Quantitative Biology
Modeling principles for a physiology-based whole-body model of human metabolism
Laura Hjort Blicher, Peter Emil Carstensen, Jacob Bendsen, Henrik Linden +3
2024-04-23
Dynamical Systems · Mathematics
A Survey of Mathematical Models on Somitogenesis
Hanyu Song
2023-10-09
Fluid Dynamics · Physics
A Multi-Component, Multi-Physics Computational Model for Solving Coupled Cardiac Electromechanics and Vascular Haemodynamics
Sharp C. Y. Lo, Alberto Zingaro, Jon W. S. McCullough, Xiao Xue +4
2025-07-22
Molecular Networks · Quantitative Biology
The evolution of systems biology and systems medicine: From mechanistic models to uncertainty quantification
Lingxia Qiao, Ali Khalilimeybodi, Nathaniel J Linden-Santangeli, Padmini Rangamani
2024-08-13
Mathematical Physics · Physics
Micro-macro models for viscoelastic fluids: modelling, mathematics and numerics
C. Le Bris, T. Lelièvre
2011-02-03
Classical Physics · Physics
Mathematical modelling in Physics: deterministic processes
Sergej Pankratow
2025-07-14
Tissues and Organs · Quantitative Biology
Modelling mechanically dominated vasculature development
Benjamin J. Walker, Adriana T. Dawes
2022-03-23
Neural and Evolutionary Computing · Computer Science
Neural network models
Plamen Dimitrov
2023-01-10
Mathematical Physics · Physics
Modeling of fluid-rigid body interaction in an electrically conducting fluid
Jan Scherz, Anja Schlömerkemper
2024-02-13
Statistical Mechanics · Physics
Complex systems under stochastic dynamics
L. S. Schulman, B. Gaveau
2007-05-23
General Mathematics · Mathematics
Mathematics for energy systems: Methods, modeling strategies, and simulation
Nicklas Jävergård, Grigor Nika, Adrian Muntean
2024-12-30
Neurons and Cognition · Quantitative Biology
Understanding visual processing of motion: Completing the picture using experimentally driven computational models of MT
Parvin Zarei Eskikand, David B Grayden, Tatiana Kameneva, Anthony N Burkitt +1
2023-09-22
Systems and Control · Computer Science
Systems Theoretic Techniques for Modeling, Control, and Decision Support in Complex Dynamic Systems
Armen Bagdasaryan
2013-12-30
Quantitative Methods · Quantitative Biology
Physical and mathematical modeling in experimental papers: achieving robustness of mathematical modeling studies
Vitaly V. Ganusov
2016-02-01
Physics and Society · Physics
A tutorial on networks in social systems: A mathematical modeling perspective
Heather Z. Brooks
2023-02-03
Biological Physics · Physics
Global dynamical model of the cardiovascular system
A. S. Kholodov, S. S. Simakov, Y. A. Kholodov, A. A. Nadolsky +1
2007-12-31
Dynamical Systems · Mathematics
Spectral theory of dynamical systems
Adam Kanigowski, Mariusz Lemańczyk
2020-06-23
Fluid Dynamics · Physics
Contemporary Approach for Simulation and Computation of Fluid Flows in Centrifugal Hydromachines
Alexey N. Kochevsky, Victor G. Nenya
2007-05-23
Computational Physics · Physics
Computational methods in cardiovascular mechanics
Ferdinando Auricchio, Michele Conti, Adrian Lefieux, Simone Morganti +3
2018-03-14
Tissues and Organs · Quantitative Biology
Simulating Cardiac Fluid Dynamics in the Human Heart
Marshall Davey, Charles Puelz, Simone Rossi, Margaret Anne Smith +6
2023-10-25
Fluid Dynamics · Physics
Computational hemodynamics in arteries with the one-dimensional augmented fluid-structure interaction system: viscoelastic parameters estimation and comparison with in-vivo data
Giulia Bertaglia, Adrián Navas-Montilla, Alessandro Valiani, Manuel Ignacio Monge García +2
2021-06-15
Medical Physics · Physics
Exact Modeling of Cardiovascular System Using Lumped Method
Omid Ghasemalizadeh, Mohammad Reza Mirzaee, Bahar Firoozabadi, Kamran Hassani
2014-11-21