Effect of hydrocephalus in an unsteady cerebrospinal fluid influencing diffusivity

Abstract

The present study proposes a mathematical framework based on in vivo inputs to compare the dynamic interactions of cerebrospinal fluid (CSF) through an asymmetric channel due to hydrocephalus. This study’s primary goal is to determine the significance of diffusivity in cerebrospinal fluid concerning the rate of fluid velocity for the cardiac cycle. The model of governing equations was simulated by applying a suitable number of dimensionless parameters. The dimensionless governing equations are solved through the classical Laplace transformation method. The impacts of numerous variables over velocity, temperature, and concentration are examined. These variables comprise the porosity parameter, resistance parameter, buoyancy force, and Schmidt number. These plots are sketched for the considerable magnitude of these variables through MATLAB software, and the plots are discussed in detail. The present study shows a decent justification for the neurological papers showing an increase in pressure reflects the velocity for an increase in resistance, porosity, and the Schmidt number shows an inverse in diffusivity, as elaborated in the tabular outline. It was justified that rigorous cerebrospinal fluid velocity for hydrocephalus proved more than the result in ref. [1]. That is, according to ref. [1] the velocity of hydrocephalic patient is 10 mm/s; we proved it is more than 10 mm/s using analytical Laplace transform method.