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 …
A mathematical model for vasogenic brain edema
SI Rapoport - Journal of Theoretical Biology, 1978 - Elsevier
A hydraulic model of the intracranial compartments is used to analyze the quantitative
contribution of various factors to vasogenic brain edema. These factors include osmotic and …
contribution of various factors to vasogenic brain edema. These factors include osmotic and …
A global multiscale mathematical model for the human circulation with emphasis on the venous system
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 …
including the arterial system, the venous system, the heart, the pulmonary circulation and the …
Cerebral venous blood outflow: a theoretical model based on laboratory simulation
SK Piechnik, M Czosnyka, HK Richards… - …, 2001 - journals.lww.com
OBJECTIVE: The cerebrovascular bed and cerebrospinal fluid circulation have been
modeled extensively except for the cerebral venous outflow, which is the object of this study …
modeled extensively except for the cerebral venous outflow, which is the object of this study …
Impact of jugular vein valve function on cerebral venous haemodynamics
We quantify the effect of internal-jugular vein function on intracranial venous
haemodynamics, with particular attention paid to venous reflux and intracranial venous …
haemodynamics, with particular attention paid to venous reflux and intracranial venous …
A new hemodynamic model for the study of cerebral venous outflow
We developed a mathematical model of the cerebral venous outflow for the simulation of the
average blood flows and pressures in the main drainage vessels of the brain. The main …
average blood flows and pressures in the main drainage vessels of the brain. The main …
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 …
The intracranial venous system as a neurosurgeon's perspective
M Sindou, J Auque - Advances and technical standards in neurosurgery, 2000 - Springer
This chapter does not intent to detail morphological anatomy, descriptive radiology and
physiology of the Intracranial Venous System (IVS). Basic knowledge can be obtained by …
physiology of the Intracranial Venous System (IVS). Basic knowledge can be obtained by …
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) …
Biophysics of venous return from the brain from the perspective of the pathophysiology of chronic cerebrospinal venous insufficiency
M Zaniewski, M Simka - Reviews on Recent Clinical Trials, 2012 - ingentaconnect.com
This article discusses the biophysical aspects of venous outflow from the brain in healthy
individuals and in patients with chronic cerebrospinal venous insufficiency. Blood flows out …
individuals and in patients with chronic cerebrospinal venous insufficiency. Blood flows out …