A practical approach to parameter estimation applied to model predicting heart rate regulation.

Journal of Mathematical Biology
Mette S Olufsen, Johnny T Ottesen

Abstract

Mathematical models have long been used for prediction of dynamics in biological systems. Recently, several efforts have been made to render these models patient specific. One way to do so is to employ techniques to estimate parameters that enable model based prediction of observed quantities. Knowledge of variation in parameters within and between groups of subjects have potential to provide insight into biological function. Often it is not possible to estimate all parameters in a given model, in particular if the model is complex and the data is sparse. However, it may be possible to estimate a subset of model parameters reducing the complexity of the problem. In this study, we compare three methods that allow identification of parameter subsets that can be estimated given a model and a set of data. These methods will be used to estimate patient specific parameters in a model predicting baroreceptor feedback regulation of heart rate during head-up tilt. The three methods include: structured analysis of the correlation matrix, analysis via singular value decomposition followed by QR factorization, and identification of the subspace closest to the one spanned by eigenvectors of the model Hessian. Results showed that all three m...Continue Reading

References

Sep 1, 1985·Ultrasound in Medicine & Biology·R S ThompsonC M Cook
Jan 1, 1972·Annual Review of Physiology·A C GuytonH J Granger
Aug 21, 2002·Computer Methods in Biomechanics and Biomedical Engineering·Jing WanCharles A Taylor
Oct 22, 2002·American Journal of Physiology. Heart and Circulatory Physiology·P J FadelN H Secher
Jun 24, 2006·American Journal of Physiology. Regulatory, Integrative and Comparative Physiology·Mette S OlufsenVera Novak
Jul 21, 2006·American Journal of Physiology. Cell Physiology·Jin Hee Lee, Louis Ragolia
Nov 4, 2006·BMC Bioinformatics·Maria Rodriguez-FernandezJulio R Banga
Apr 5, 2007·IEEE Transactions on Bio-medical Engineering·Xiao HuNeil Martin
Oct 10, 2007·PLoS Computational Biology·Ryan N GutenkunstJames P Sethna
Oct 11, 2007·Annals of the New York Academy of Sciences·Ryan N GutenkunstJames P Sethna
Dec 7, 2007·Cardiovascular Engineering·Michael C K Khoo
Dec 8, 2007·Cardiovascular Engineering·Mette S OlufsenVera Novak
Dec 18, 2007·Cardiovascular Engineering·Laura M EllweinMette S Olufsen
Feb 6, 2008·Bulletin of Mathematical Biology·Hulin WuAlan S Perelson
Nov 27, 2008·IEEE Transactions on Medical Imaging·Giancarlo PennatiEnrico Ferrazzi
Mar 11, 2009·IEEE Transactions on Bio-medical Engineering·Daniela Valdez-JassoMette S Olufsen
Mar 19, 2009·Mathematical Biosciences and Engineering : MBE·Scott R PopeMette S Olufsen
Mar 28, 2009·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Jerry BatzelKi H Chon
Apr 30, 2009·Annual Review of Biomedical Engineering·C A Taylor, C A Figueroa
May 7, 2009·BMC Systems Biology·Marco VilelaJonas S Almeida
Aug 8, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Men-Tzung LoKun Hu
Jun 19, 2010·Annals of Biomedical Engineering·H J KimC A Taylor
Dec 21, 2010·Computer Methods and Programs in Biomedicine·J T Ottesen, M S Olufsen
May 31, 2011·American Journal of Physiology. Heart and Circulatory Physiology·Philippe ReymondNikos Stergiopulos

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Citations

Mar 30, 2013·European Journal of Applied Physiology·M Keith SharpJean-Pierre Montani
Dec 19, 2013·PLoS Computational Biology·Adam MahdiMette S Olufsen
Jul 23, 2015·International Journal for Numerical Methods in Biomedical Engineering·Paulo Roberto TrenhagoRaúl Antonino Feijóo
Mar 15, 2013·Journal of Theoretical Biology·Alison Margolskee, James F Selgrade
Oct 11, 2012·Mathematical Biosciences·L M EllweinM S Olufsen
Nov 26, 2015·Bulletin of Mathematical Biology·Nitin A KrishnaRichard C Schugart
May 3, 2014·Bulletin of Mathematical Biology·Aurelio A de los ReyesFranz Kappel
Mar 15, 2015·IEEE Transactions on Bio-medical Engineering·Brett MatzukaMette Sofie Olufsen
Mar 25, 2014·IEEE Transactions on Bio-medical Engineering·Pedram AtaeeW Thomas Boyce
Apr 14, 2015·Mathematical Biosciences·Antoine PironetPierre C Dauby
Nov 7, 2016·Mathematical Biosciences·Elisabeth O Bangsgaard, Johnny T Ottesen
Feb 8, 2018·Journal of Pharmacokinetics and Pharmacodynamics·Helen Moore
Nov 1, 2018·Biological cybernetics·Christian Haargaard OlsenMette S Olufsen
Jan 1, 2015·Annals of Biomedical Engineering·Greg MaderAdam Mahdi
Jun 4, 2019·Journal of Mathematical Biology·Nakeya D WilliamsMette S Olufsen
Aug 2, 2019·Journal of Applied Physiology·E Benjamin RandallMette S Olufsen
May 7, 2020·The Journal of Physiology·Amanda L ColungaBrian E Carlson
Jul 30, 2019·International Journal for Numerical Methods in Biomedical Engineering·Mitchel J ColebankMette S Olufsen
Jun 9, 2020·Bulletin of Mathematical Biology·Rayanne A LukeDeborah Awisi-Gyau
Apr 9, 2019·Journal of the Royal Society, Interface·Fredrik E FossanLeif R Hellevik
Aug 11, 2018·Journal of Mathematical Neuroscience·Matthew J Moye, Casey O Diekman
Nov 5, 2019·Frontiers in Immunology·Anna CoulibalyMaria Vittoria Barbarossa
Apr 11, 2020·Nature Communications·Renee Brady-NichollsHeiko Enderling
Mar 25, 2021·Proceedings. Biological Sciences·Gregory J KimmelPhilipp M Altrock
May 14, 2021·Journal of Theoretical Biology·E Benjamin RandallMette S Olufsen
Jun 5, 2021·Journal of Theoretical Biology·Andrei A Domogo, Johnny T Ottesen
Mar 23, 2021··Ori LinialDanny Eytan

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