A multiscale pressure-volume model of cerebrospinal fluid dynamics: Application to hydrocephalus

Justin Kauffman, Corina S. Drapaca

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

Abstract

Hydrocephalus is a brain disease characterized by abnormalities in the cerebrospinal fluid (CSF) circulation. The treatment is surgical in nature and continues to suffer of poor outcomes. The first mathematical model for studying the CSF pressure-volume relationship in hydrocephalus was proposed by Marmarou in the 1970s. However, the model fails to fully capture the complex CSF dynamics controlled by CSF-brain tissue interactions. In this paper we use fractional calculus to introduce multiscaling effects in Marmarou's model. We solve our fractional order non-linear differential equation analytically using a modified Adomian decomposition method.

Original languageEnglish (US)
Title of host publicationASME 2013 2nd Global Congress on NanoEngineering for Medicine and Biology, NEMB 2013
DOIs
StatePublished - Dec 16 2013
EventASME 2013 2nd Global Congress on NanoEngineering for Medicine and Biology, NEMB 2013 - Boston, MA, United States
Duration: Feb 4 2013Feb 6 2013

Publication series

NameASME 2013 2nd Global Congress on NanoEngineering for Medicine and Biology, NEMB 2013

Other

OtherASME 2013 2nd Global Congress on NanoEngineering for Medicine and Biology, NEMB 2013
CountryUnited States
CityBoston, MA
Period2/4/132/6/13

Fingerprint

Hydrodynamics
Hydrocephalus
Cerebrospinal Fluid
Pressure
Cerebrospinal Fluid Pressure
Calculi
Brain Diseases
Theoretical Models
Brain

All Science Journal Classification (ASJC) codes

  • Biotechnology

Cite this

Kauffman, J., & Drapaca, C. S. (2013). A multiscale pressure-volume model of cerebrospinal fluid dynamics: Application to hydrocephalus. In ASME 2013 2nd Global Congress on NanoEngineering for Medicine and Biology, NEMB 2013 [NEMB2013-93086] (ASME 2013 2nd Global Congress on NanoEngineering for Medicine and Biology, NEMB 2013). https://doi.org/10.1115/NEMB2013-93086
Kauffman, Justin ; Drapaca, Corina S. / A multiscale pressure-volume model of cerebrospinal fluid dynamics : Application to hydrocephalus. ASME 2013 2nd Global Congress on NanoEngineering for Medicine and Biology, NEMB 2013. 2013. (ASME 2013 2nd Global Congress on NanoEngineering for Medicine and Biology, NEMB 2013).
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Kauffman, J & Drapaca, CS 2013, A multiscale pressure-volume model of cerebrospinal fluid dynamics: Application to hydrocephalus. in ASME 2013 2nd Global Congress on NanoEngineering for Medicine and Biology, NEMB 2013., NEMB2013-93086, ASME 2013 2nd Global Congress on NanoEngineering for Medicine and Biology, NEMB 2013, ASME 2013 2nd Global Congress on NanoEngineering for Medicine and Biology, NEMB 2013, Boston, MA, United States, 2/4/13. https://doi.org/10.1115/NEMB2013-93086

A multiscale pressure-volume model of cerebrospinal fluid dynamics : Application to hydrocephalus. / Kauffman, Justin; Drapaca, Corina S.

ASME 2013 2nd Global Congress on NanoEngineering for Medicine and Biology, NEMB 2013. 2013. NEMB2013-93086 (ASME 2013 2nd Global Congress on NanoEngineering for Medicine and Biology, NEMB 2013).

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

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N2 - Hydrocephalus is a brain disease characterized by abnormalities in the cerebrospinal fluid (CSF) circulation. The treatment is surgical in nature and continues to suffer of poor outcomes. The first mathematical model for studying the CSF pressure-volume relationship in hydrocephalus was proposed by Marmarou in the 1970s. However, the model fails to fully capture the complex CSF dynamics controlled by CSF-brain tissue interactions. In this paper we use fractional calculus to introduce multiscaling effects in Marmarou's model. We solve our fractional order non-linear differential equation analytically using a modified Adomian decomposition method.

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Kauffman J, Drapaca CS. A multiscale pressure-volume model of cerebrospinal fluid dynamics: Application to hydrocephalus. In ASME 2013 2nd Global Congress on NanoEngineering for Medicine and Biology, NEMB 2013. 2013. NEMB2013-93086. (ASME 2013 2nd Global Congress on NanoEngineering for Medicine and Biology, NEMB 2013). https://doi.org/10.1115/NEMB2013-93086