### 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 language | English (US) |
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Title of host publication | Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science |

Editors | Roman 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 |

Publisher | Springer New York LLC |

Pages | 191-197 |

Number of pages | 7 |

ISBN (Print) | 9783319123066, 9783319123066 |

DOIs | |

State | Published - Jan 1 2015 |

Event | International Conference on Applied Mathematics, Modelling and Computational Science, AMMCS 2013 - Waterloo, Canada Duration: Aug 26 2013 → Aug 30 2013 |

### Publication series

Name | Springer Proceedings in Mathematics and Statistics |
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Volume | 117 |

ISSN (Print) | 2194-1009 |

ISSN (Electronic) | 2194-1017 |

### Other

Other | International Conference on Applied Mathematics, Modelling and Computational Science, AMMCS 2013 |
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Country | Canada |

City | Waterloo |

Period | 8/26/13 → 8/30/13 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

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## Cite this

*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