Displaying similar documents to “Modelling, analysis and calculation of cerebral hemodynamics.”

Modeling Pulsatility in the Human Cardiovascular System

de los Reyes V, Aurelio, Kappel, Franz (2010)

Mathematica Balkanica New Series

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AMS Subj. Classification: 92C30 In this study we investigated, modified and combined two existing mathematical cardiovascular models, a non-pulsatile global model and a simplified pulsatile left heart model. The first goal of the study was to integrate these models. The main objective is to have a global lumped parameter pulsatile model that predicts the pressures in the systemic and pulmonary circulation, and specifically the pulsatile pressures in the the finger arteries where...

Mathematical Model of Fibrin Polymerization

A.I. Lobanov, A.V. Nikolaev, T.K. Starozhilova (2011)

Mathematical Modelling of Natural Phenomena

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Blood clotting system (BCS) modelling is an important issue with a plenty of applications in medicine and biophysics. The BCS main function is to form a localized clot at the site of injury preventing blood loss. Mutual influence of fibrin clot consisting mainly of fibrin polymer gel and blood flow is an important factor for BCS to function properly. The process of fibrin polymer mesh formation has not adequately been described by current mathematical models. That is why it is not possible...

Mathematical Model of Blood Flow in an Anatomically Detailed Arterial Network of the Arm

Sansuke M. Watanabe, Pablo J. Blanco, Raúl A. Feijóo (2013)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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A distributed-parameter (one-dimensional) anatomically detailed model for the arterial network of the arm is developed in order to carry out hemodynamics simulations. This work focuses on the specific aspects related to the model set-up. In this regard, stringent anatomical and physiological considerations have been pursued in order to construct the arterial topology and to provide a systematic estimation of the involved parameters. The model comprises 108 arterial segments, with 64...

Modeling and simulation of a blood pump for the development of a left ventricular assist system controller

Yih-Choung Yu, J. Robert Boston, Marwan A. Simaan, Phil J. Miller, James F. Antaki (1999)

Kybernetika

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A mathematical model describing the pressure-volume relationship of the Novacor left ventricular assist system (LVAS) was developed. The model consisted of lumped resistance, capacitance, and inductance elements with one time-varying capacitor to simulate the cyclical pressure generation of the system. The ejection and filling portions of the pump cycle were modeled with two separate functions. The corresponding model parameters were estimated by least squares fit to experimental data...

Vessel Wall Models for Simulation of Atherosclerotic Vascular Networks

Yu. Vassilevski, S. Simakov, V. Salamatova, Yu. Ivanov, T. Dobroserdova (2011)

Mathematical Modelling of Natural Phenomena

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There are two mathematical models of elastic walls of healthy and atherosclerotic blood vessels developed and studied. The models are included in a numerical model of global blood circulation via recovery of the vessel wall state equation. The joint model allows us to study the impact of arteries atherosclerotic disease of a set of arteries on regional haemodynamics.