A global multiscale mathematical model for the human circulation with emphasis on the venous system

LO Müller, EF Toro - International journal for numerical …, 2014 - Wiley Online Library
We present a global, closed‐loop, multiscale mathematical model for the human circulation
including the arterial system, the venous system, the heart, the pulmonary circulation and the …

[PDF][PDF] Arterial pulse wave haemodynamics

J Alastruey, KH Parker, SJ Sherwin - 11th international conference on …, 2012 - core.ac.uk
The shape of the arterial pulse wave is intimately related to the physical properties of the
cardiovascular system. Understanding the mechanisms underlying this relation is clinically …

Verification and comparison of four numerical schemes for a 1D viscoelastic blood flow model

X Wang, JM Fullana, PY Lagrée - Computer methods in …, 2015 - Taylor & Francis
A reliable and fast numerical scheme is crucial for the 1D simulation of blood flow in
compliant vessels. In this paper, a 1D blood flow model is incorporated with a Kelvin–Voigt …

Human jugular vein collapse in the upright posture: implications for postural intracranial pressure regulation

P Holmlund, E Johansson, S Qvarlander… - Fluids and Barriers of …, 2017 - Springer
Background Intracranial pressure (ICP) is directly related to cranial dural venous pressure (P
dural). In the upright posture, P dural is affected by the collapse of the internal jugular veins …

Kinetic scheme for arterial and venous blood flow, and application to partial hepatectomy modeling

C Audebert, P Bucur, M Bekheit, E Vibert… - Computer Methods in …, 2017 - Elsevier
The article introduces a kinetic scheme to solve the 1D Euler equations of hemodynamics,
and presents comparisons of a closed-loop 1D–0D model with real measurements obtained …

A multi‐scale model of the coronary circulation applied to investigate transmural myocardial flow

X Ge, Z Yin, Y Fan, Y Vassilevski… - International Journal for …, 2018 - Wiley Online Library
Distribution of blood flow in myocardium is a key determinant of the localization and severity
of myocardial ischemia under impaired coronary perfusion conditions. Previous studies …

Numerical coupling of 0D and 1D models in networks of vessels including transonic flow conditions. Application to short‐term transient and stationary hemodynamic …

J Murillo, P García‐Navarro - International Journal for …, 2023 - Wiley Online Library
When modeling complex fluid networks using one‐dimensional (1D) approaches, boundary
conditions can be imposed using zero‐dimensional (0D) models. An application case is the …

Validation of a 1D patient-specific model of the arterial hemodynamics in bypassed lower-limbs: simulations against in vivo measurements

M Willemet, V Lacroix, E Marchandise - Medical engineering & physics, 2013 - Elsevier
The validation of a coupled 1D–0D model of the lower-limb arterial hemodynamics is
presented. This study focuses on pathological subjects (6 patients, 72.7±11.1 years) …

Gravitational effects on global hemodynamics in different postures: A closed-loop multiscale mathematical analysis

X Zhang, S Noda, R Himeno, H Liu - Acta Mechanica Sinica, 2017 - Springer
We present a novel methodology and strategy to predict pressures and flow rates in the
global cardiovascular network in different postures varying from supine to upright. A closed …

Seven mathematical models of hemorrhagic shock

L Curcio, LD′ Orsi… - … and Mathematical Methods …, 2021 - Wiley Online Library
Although mathematical modelling of pressure‐flow dynamics in the cardiocirculatory system
has a lengthy history, readily finding the appropriate model for the experimental situation at …