A Simple Model for the Arterial System (original) (raw)

Microcirculatory model relating geometrical variation to changes in pressure and flow rate

Bruce Fenton

Annals of Biomedical Engineering, 1981

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Multi-branched model of the human arterial system

Alberto Avolio

Medical & Biological Engineering & Computing, 1980

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Modeling the cardiovascular system—A mathematical adventure: Part I

Alfio Quarteroni

2001

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Validation of a Multi-branched Patient Specific Computational Model for Human Arterial Systems

Alexander Liberson

Proceedings of the 5th International Conference of Fluid Flow, Heat and Mass Transfer (FFHMT'18), 2018

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Validation of a Person Specific 1D Model of the Systemic Arterial Tree

Fabienne Perren, N. Stergiopulos

ASME 2009 Summer Bioengineering Conference, Parts A and B, 2009

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Arteries and algorithms: multiple scale modelling of flow in the cardiovascular system

Spencer J. Sherwin

2008

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Mathematical modelling of the cardiovascular system

P. Kolh

Journal of Engineering Mathematics, 2000

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A comprehensive elementary model of the mammalian circulatory system

Gary M Sandquist

Annals of Biomedical Engineering, 1982

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The Dynamics of Human Central Arterial System

Maciej Paszyński

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Global Dynamical Model of the Cardiovascular System

Sergey Simakov

III European Conference on Computational Mechanics, 2006

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The Investigation of Terminal Segment Effect on Blood Pressure Propagation Patterns in Cardiovascular System Models

Ivo Čáp

Komunikácie, 2011

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Cardiovascular Mathematics

Alfio Quarteroni

2009

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Computational Analysis of Cardiovascular Hemodynamics

Eun Bo Shim

Computational and Mathematical Methods in Medicine, 2012

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Computational modeling of hypertensive growth in the human carotid artery

Miguel Angel Dávila Martínez

Computational Mechanics, 2013

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Control of blood vessel structure: insights from theoretical models

Axel Pries

AJP: Heart and Circulatory Physiology, 2004

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Hypertension and Management Advances in Low-Dimensional Mathematical Modeling of the Human Cardiovascular System

Anastasios Raptis

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Simulation of adaptation of blood vessel geometry to flow and pressure: Implications for arterio-venous impedance

Koen Reesink

Mechanics Research Communications, 2012

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Mechanobiological model of arterial growth and remodeling

Clark Meyer

Biomechanics and Modeling in Mechanobiology, 2017

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Flow Simulations in the Human Cardiovascular System under Variable Conditions

Rosanna Manzo

2015

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GEOMETRICAL MULTISCALE MODELING OF THE CARDIOVASCULAR SYSTEM: Problems and perspectives

Alessandro Veneziani

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An optimal model of blood flow in arteries

Laurent Dumas

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Remodeling of Blood Vessels: Responses of Diameter and Wall Thickness to Hemodynamic and Metabolic Stimuli

Axel Pries

Hypertension, 2005

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Application of Three Lumped Models of the Arterial Tree to Subjects of Different Age

Fabijan Lulić

2019

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Generic and patient-specific models of the arterial tree

N. Stergiopulos

Journal of Clinical Monitoring and Computing, 2012

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Modeling of Kidney Hemodynamics: Probability-Based Topology of an Arterial Network

Dmitry Postnov

PLOS Computational Biology, 2016

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Theoretical modeling of micro-scale biological phenomena in human coronary arteries

Jagannath Mazumdar

Medical & Biological Engineering & Computing, 2006

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• Blood Flow in Arterioles: A Mathematical Study

Varun Mohan (SBSR Assistant Professor)

2012

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Multiscale modelling of the circulatory system: a preliminary analysis

Alessandro Veneziani

… and visualization in …, 1999

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Review of Zero-D and 1-D Models of Blood Flow in the Cardiovascular System

Patricia Lawford

BioMedical Engineering OnLine, 2011

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Mathematical Modeling of the Arterial Blood Flow

J Labadin

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Towards the ‘In Vivo’Computational Multi-Scale Hemodynamics from Endothelial Cell to Large Artery

Kensuke Yokoi

2003

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A One-Dimensional Fluid Dynamic Model of the Systemic Arteries

Mette Olufsen

The IMA volumes in mathematics and its applications, 2001

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