A study of brain biomechanics using hamilton’s principle: Application to hydrocephalus

Corina Stefania Drapaca, Justin A. Kauffman

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

Hydrocephalus is a serious neurological disorder characterized by abnormalities in the circulation of cerebrospinal fluid (CSF) within the brain. Unfortunately, the response of the patients who have been treated for hydrocephalus continues to be poor and thus better therapy protocols are desperately needed. Mathematical models of CSF dynamics and CSF–brain interactions could play important roles in the design of improved, patient-specific treatments. To capture some of brain’s dynamics during the evolution of hydrocephalus we propose a new mathematical model using Hamilton’s principle. We assume the existence of current healthy healing and abnormal inflammation states and investigate the relationship between these states using volumetric data of healthy and untreated hydrocephalic mice.

Original languageEnglish (US)
Title of host publicationInterdisciplinary Topics in Applied Mathematics, Modeling and Computational Science
EditorsRoman N. Makarov, Roderick V. N. Melnik, Ilias S. Kotsireas, Hasan Shodiev, Monica G. Cojocaru, Monica G. Cojocaru, Roman N. Makarov, Roderick V. N. Melnik, Ilias S. Kotsireas, Hasan Shodiev
PublisherSpringer New York LLC
Pages191-197
Number of pages7
ISBN (Print)9783319123066, 9783319123066
DOIs
StatePublished - Jan 1 2015
EventInternational Conference on Applied Mathematics, Modelling and Computational Science, AMMCS 2013 - Waterloo, Canada
Duration: Aug 26 2013Aug 30 2013

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume117
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Other

OtherInternational Conference on Applied Mathematics, Modelling and Computational Science, AMMCS 2013
CountryCanada
CityWaterloo
Period8/26/138/30/13

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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    Drapaca, C. S., & Kauffman, J. A. (2015). A study of brain biomechanics using hamilton’s principle: Application to hydrocephalus. In R. N. Makarov, R. V. N. Melnik, I. S. Kotsireas, H. Shodiev, M. G. Cojocaru, M. G. Cojocaru, R. N. Makarov, R. V. N. Melnik, I. S. Kotsireas, & H. Shodiev (Eds.), Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science (pp. 191-197). (Springer Proceedings in Mathematics and Statistics; Vol. 117). Springer New York LLC. https://doi.org/10.1007/978-3-319-12307-3_27