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A comparison of two mathematical models of the cerebrospinal fluid dynamics. | LitMetric

A comparison of two mathematical models of the cerebrospinal fluid dynamics.

Math Biosci Eng

Department of Information Engineering, Computer Science and Mathematics, University of L'Aquila, 67100 L'Aquila, Italy.

Published: April 2019

AI Article Synopsis

Article Abstract

In this paper we provide the numerical simulations of two cerebrospinal fluid dynamics models by comparing our results with the real data available in literature (see Section 4). The models describe different processes in the cerebrospinal fluid dynamics: the cerebrospinal flow in the ventricles of the brain and the reabsorption of the fluid. In the appendix we show in detail the mathematical analysis of both models and we identify the set of initial conditions for which the solutions of the systems of equations do not exhibit blow up. We investigate step by step the accuracy of these theoretical outcomes with respect to the real cerebrospinal physiology and dynamics. The plan of the paper is provided in Section 1.5.

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Source
http://dx.doi.org/10.3934/mbe.2019140DOI Listing

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