Computational modelling of global haemodynamics and its interaction with cerebrospinal fluid and brain dynamics with application to essential hypertension
M Celant - 2022 - iris.unitn.it
Two major medical applications have inspired this thesis: firstly, the potential link between
the venous circulation and several neurological pathologies, secondly arterial hypertension …
the venous circulation and several neurological pathologies, secondly arterial hypertension …
Cerebrospinal fluid dynamics coupled to the global circulation in holistic setting: mathematical models, numerical methods and applications
EF Toro, M Celant, Q Zhang… - International Journal …, 2022 - Wiley Online Library
This paper presents a mathematical model of the global, arterio‐venous circulation in the
entire human body, coupled to a refined description of the cerebrospinal fluid (CSF) …
entire human body, coupled to a refined description of the cerebrospinal fluid (CSF) …
Pulsatile cerebrospinal model with cardio-vascular coupling
BJE Misgeld, R Mondal, S Leonhardt - IFAC-PapersOnLine, 2015 - Elsevier
In this paper we describe a model of the human intracranial space which is extended with
the vascular system. We focus on a detailed modelling of the coupling between cerebral …
the vascular system. We focus on a detailed modelling of the coupling between cerebral …
A whole-body mathematical model for intracranial pressure dynamics
WD Lakin, SA Stevens, BI Tranmer… - Journal of mathematical …, 2003 - Springer
Most attempts to study intracranial pressure using lumped-parameter models have adopted
the classical``Kellie-Monro Doctrine,''which considers the intracranial space to be a closed …
the classical``Kellie-Monro Doctrine,''which considers the intracranial space to be a closed …
Brain venous haemodynamics, neurological diseases and mathematical modelling. A review
EF Toro - Applied Mathematics and Computation, 2016 - Elsevier
Abstract Behind Medicine (M) is Physiology (P), behind Physiology is Physics (P) and
behind Physics is always Mathematics (M), for which I expect that the symmetry of the …
behind Physics is always Mathematics (M), for which I expect that the symmetry of the …
Simulation of cerebrospinal fluid transport
J Otáhal, Z Štěpáník, A Kaczmarská, F Maršík… - … in Engineering Software, 2007 - Elsevier
The pulsatile nature of the CSF movement is a result of the cardiac-related pulsations in
blood volume in cranial region. According to Monro–Kellie Doctrine, the net inflow of arterial …
blood volume in cranial region. According to Monro–Kellie Doctrine, the net inflow of arterial …
A one dimensional numerical coupling of the cerebral vasculature and the cerebrospinal fluid flow in the cardio-spinal compartment
M Maher - 2019 - theses.hal.science
The cerebrospinal fluid (CSF) fills the ventricles, the cranial and spinal subarachnoid
spaces. CSF exhibits a pulsatile motion essential to normal brain function and its flow …
spaces. CSF exhibits a pulsatile motion essential to normal brain function and its flow …
Biomathematics of intracranial CSF and haemodynamics. Simulation and analysis with the aid of a mathematical model
G Csécsei, O Hoffmann, N Klug, A Laun… - Primary and secondary …, 1987 - Springer
A mathematical model of the isolated intracranial system including autoregulation of
cerebral blood flow with the aid of a variable cerebrovascular resistance is described. The …
cerebral blood flow with the aid of a variable cerebrovascular resistance is described. The …
Multi-compartment mathematical model for cerebrospinal fluid mechanics coupled to the systemic circulation: application to transverse sinus stenosis
LO Müller, Q Zhang, C Contarino, M Celant… - Veins and …, 2019 - scholar.archive.org
Background The role of vascular abnormalities in the onset and course of neurological
diseases has long been recognized. In the last decade, the influence of intra-and …
diseases has long been recognized. In the last decade, the influence of intra-and …
Enhanced global mathematical model for studying cerebral venous blood flow
Here we extend the global, closed-loop, mathematical model for the cardiovascular system
in Müller and Toro (2014) to account for fundamental mechanisms affecting cerebral venous …
in Müller and Toro (2014) to account for fundamental mechanisms affecting cerebral venous …
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