Hydrocephalic cerebrospinal fluid flowing rotationally with pulsatile boundaries: A mathematical simulation of the thermodynamical approach

To study the kinematics of flow rate and ventricular dilatation, an analytical perturbation approach ofhydrocephalus has been devised. This research provides a comprehensive investigation of thecharacteristics of cerebrospinal fluid (CSF) flow and pressure in a hydrocephalic patient. The influenceof hydrocephalic CSF, flowing rotationally with realistic dynamical characteristics on pulsatileboundaries of subarachnoid space, was demonstrated using a nonlinear controlling system of CSF. Ananalytical perturbation method of hydrocephalus has been developed to investigate the biomechanicsof fluid flow rate and the ventricular enlargement. In this paper presents a detailed analysis of CSF flowand pressure dynamics in a hydrocephalic patient. It was elaborated with a nonlinear governing modelof CSF to show the influence of hydrocephalic CSF, flowing rotationally with realistic dynamicalbehaviors on pulsatile boundaries of subarachnoid space. In accordance with the suggested model, theelasticity factor changes depending on how much a porous layer, in this case the brain parenchyma, isstretched. It was improved to include the relaxation of internal mechanical stresses for variousperturbation orders, modelling the potential plasticity of brain tissue. The initial geometry that wasutilised to create the framework of CSF with pathological disease hydrocephalus and indeed the outputof simulations using this model were compared to the actual progression of ventricular dimensionsand shapes in patients. According to this observation, the non - linear and elastic mechanicalphenomena incorporated into the current model are probably true. Further modelling of ventriculardilation at a normal pressure may benefit from the existence of a valid model whose parametersapproximate genuine mechanical characteristics of the cerebral cortex.