A Mathematical Model to Simulate Intracranial Pressure and Unified Interpretation of Several Disease Entities

Published: June 1, 2020, 10 a.m.

Link to bioRxiv paper: http://biorxiv.org/cgi/content/short/2020.05.31.120071v1?rss=1 Authors: Wang, J., Lu, P. Abstract: BACKGROUND: Many clinical phenomena related to cerebrospinal fluid(CSF) and intracranial pressure (ICP) are often contrary to common sense and difficult to explain by classical theory. Such as slit ventricle syndrome, normal intracranial pressure hydrocephalus / low pressure hydrocephalus, paradoxical herniation, and so on. Many authors have different theories about them but cannot have an unified explanation. OBJECTIVE: We try to simulate the above cerebrospinal fluid disorders and intracranial pressure conduction with a mathematical method based on several well-accepted hypothesis, and make theoretical interpretations. METHODS: We introduce a mathematical model to simulate complex CSF problems and propose that human intracranial pressure curve should be a U-shape curve based on several well-accepted hypothesis (especially we introduce the hypothesis that CSF also play a role of decompression). Maple software was used to draw charts according to our formula. We use the theory and intuitive charts to explain those phenomena one by one. RESULTS:The formula:ICP=MAP-{delta}VMAP+{theta}V{beta}MAP+C, and corresponding diagrams was conducted. CONCLUSION: This mathematical model is a supplement to the classical Monro-Kellie's theory, the curve and coordinate system can be used to analyze different pathophysiological states and give a reasonable unified explanation to them. Copy rights belong to original authors. Visit the link for more info