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Influence of interaction of cerebral fluids on ventricular deformation: A mathematical approach

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  • Galina Valova
  • Olga Bogomyakova
  • Andrey Tulupov
  • Alexander Cherevko

Abstract

This paper describes the effects of the interaction of cerebral fluids (arterial, capillary and venous blood, cerebrospinal fluid) on ventricular wall displacement and periventricular pressure using a mathematical multiphase poroelasticity model for the cerebral parenchyma. The interaction of cerebral fluids is given by a set of four numerical coefficients. A multiple linear regression with interaction is constructed that allows us to quantify the effect of these coefficients on the average ventricular wall displacement. The prevailing influence of an arterial-liquor component was observed. The sets of coefficients associated with such pathological conditions were found: normal pressure hydrocephalus, intracranial hypertension, and replacement ventriculomegaly under a prolonged hypoperfusion.

Suggested Citation

  • Galina Valova & Olga Bogomyakova & Andrey Tulupov & Alexander Cherevko, 2022. "Influence of interaction of cerebral fluids on ventricular deformation: A mathematical approach," PLOS ONE, Public Library of Science, vol. 17(2), pages 1-23, February.
    • Handle: RePEc:plo:pone00:0264395
    DOI: 10.1371/journal.pone.0264395
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