The Mathematical Institute, University of Oxford, Eprints Archive

Parameter estimations for cerebrospinal fluid infusion test

Eisentraeger, Almut and Sobey, Ian and Czosnyka, Marek (2011) Parameter estimations for cerebrospinal fluid infusion test. Technical Report. Unspecified. (Submitted)

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Abstract

We consider a single compartment model for a cerebrospinal fluid infusion test using first, an inverse power law cerebral compliance with constant elastance and second, a more recently developed compliance model with elastance depending on intracranial pressure (ICP). A least squares optimisation is used to solve the inverse problem of estimating parameter values from ICP observed during an infusion test. The optimisation is applied to synthetic data and to clinical ICP data from eleven infusion tests. From consideration of synthetic data we show that it is not, in general, possible to distinguish between compliance models and attempting to extract parameter estimates for an extended compliance model is not well posed with different parameter sets having ICP time dependence that cannot be distinguished using current ICP measurements. This conclusion is also confirmed in examination of clinical data.

Item Type:Technical Report (Technical Report)
Additional Information:This article has been accepted for publication in Mathematical Medicine and Biology. (c) The Author 2012. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1453
Deposited By:Lotti Ekert
Deposited On:02 Dec 2011 08:59
Last Modified:20 Jan 2012 13:16

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