Parameter estimations for cerebrospinal fluid infusion test
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...
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Format: | Report |
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2011
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author | Eisentraeger, A Sobey, I Czosnyka, M |
author_facet | Eisentraeger, A Sobey, I Czosnyka, M |
author_sort | Eisentraeger, A |
collection | OXFORD |
description | 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. |
first_indexed | 2024-03-07T01:12:51Z |
format | Report |
id | oxford-uuid:8da03d64-ffa0-4210-ab64-4990be0cecd9 |
institution | University of Oxford |
last_indexed | 2024-03-07T01:12:51Z |
publishDate | 2011 |
publisher | Unspecified |
record_format | dspace |
spelling | oxford-uuid:8da03d64-ffa0-4210-ab64-4990be0cecd92022-03-26T22:52:25ZParameter estimations for cerebrospinal fluid infusion testReporthttp://purl.org/coar/resource_type/c_93fcuuid:8da03d64-ffa0-4210-ab64-4990be0cecd9Mathematical Institute - ePrintsUnspecified2011Eisentraeger, ASobey, ICzosnyka, MWe 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. |
spellingShingle | Eisentraeger, A Sobey, I Czosnyka, M Parameter estimations for cerebrospinal fluid infusion test |
title | Parameter estimations for cerebrospinal fluid infusion test |
title_full | Parameter estimations for cerebrospinal fluid infusion test |
title_fullStr | Parameter estimations for cerebrospinal fluid infusion test |
title_full_unstemmed | Parameter estimations for cerebrospinal fluid infusion test |
title_short | Parameter estimations for cerebrospinal fluid infusion test |
title_sort | parameter estimations for cerebrospinal fluid infusion test |
work_keys_str_mv | AT eisentraegera parameterestimationsforcerebrospinalfluidinfusiontest AT sobeyi parameterestimationsforcerebrospinalfluidinfusiontest AT czosnykam parameterestimationsforcerebrospinalfluidinfusiontest |