Computational Modeling of Thermodynamical Pulsatile Flow with Uncertain Pressure in Hydrocephalus

Abstract: The watery cerebrospinal fluid that flows in the subarachnoid space (SAS) surrounds the
entire central nervous system via symmetrical thermo-solute flow. The significance of this study was
to present a flexible simulation based on theoretical vivo inputs onto a mathematical framework to
describe the interaction of cerebrospinal fluid circulation restricted to a pathological disorder. The
pathophysiology disorder hydrocephalus is caused by an enormous excess of asymmetric fluid flow
in the ventricular region. This fluid imposition increases the void space of its boundary wall (Pia
mater). As a result, the dumping effect affects an inertial force in brain tissues. A mathematical
model was developed to impose the thermal dynamics of hydrocephalus, in which solute transport
constitutes the excess watery CSF fluid caused by hydrocephalus, in order to demonstrate perspective
changes in ventricular spaces. This paper investigated brain porous spaces in order to strengthen the
acceleration and thermal requirements in the CNS mechanism. To characterize neurological activities,
a unique mathematical model that includes hydrodynamics and nutrient transport diffusivity was
used. We present the analytical results based on physical experiments that use the novel Laplace
method to determine the nutrients transported through permeable pia (brain) parenchyma with
suitable pulsatile boundary conditions. This causes high CSF pressure and brain damage due to
heat flux over the SAS boundary wall. As a result of the increased Schmidt number, the analysis of
the hydrocephalus problem revealed an increase in permeability and drop in solute transport. A
high-velocity profile caused a rise in thermal buoyancy (Grashof number). When the CSF velocity
reached an extreme level, it indicated a higher Womersley number. Additionally, the present study
compared a number of clinical studies for CSF amplitude and pressure. We validated the results by
providing a decent justification with the clinical studies by appropriate field references.