TY - GEN
T1 - A multiscale pressure-volume model of cerebrospinal fluid dynamics
T2 - ASME 2013 2nd Global Congress on NanoEngineering for Medicine and Biology, NEMB 2013
AU - Kauffman, Justin
AU - Drapaca, Corina S.
PY - 2013
Y1 - 2013
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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84890075335&partnerID=8YFLogxK
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U2 - 10.1115/NEMB2013-93086
DO - 10.1115/NEMB2013-93086
M3 - Conference contribution
AN - SCOPUS:84890075335
SN - 9780791845332
T3 - ASME 2013 2nd Global Congress on NanoEngineering for Medicine and Biology, NEMB 2013
BT - ASME 2013 2nd Global Congress on NanoEngineering for Medicine and Biology, NEMB 2013
Y2 - 4 February 2013 through 6 February 2013
ER -