Adaptive optimal input design and parametric estimation of nonlinear dynamical systems: application to neuronal modeling

Journal of Neural Engineering
Mahmoud K Madi, Fadi N Karameh

Abstract

Many physical models of biological processes including neural systems are characterized by parametric nonlinear dynamical relations between driving inputs, internal states, and measured outputs of the process. Fitting such models using experimental data (data assimilation) is a challenging task since the physical process often operates in a noisy, possibly non-stationary environment; moreover, conducting multiple experiments under controlled and repeatable conditions can be impractical, time consuming or costly. The accuracy of model identification, therefore, is dictated principally by the quality and dynamic richness of collected data over single or few experimental sessions. Accordingly, it is highly desirable to design efficient experiments that, by exciting the physical process with smart inputs, yields fast convergence and increased accuracy of the model. We herein introduce an adaptive framework in which optimal input design is integrated with square root cubature Kalman filters (OID-SCKF) to develop an online estimation procedure that first, converges significantly quicker, thereby permitting model fitting over shorter time windows, and second, enhances model accuracy when only few process outputs are accessible. The me...Continue Reading

References

Mar 10, 2001·IEEE Transactions on Bio-medical Engineering·S AudolyC Cobelli
Oct 21, 2005·Bio Systems·Maria Rodriguez-FernandezJulio R Banga
Feb 14, 2006·NeuroImage·Olivier DavidKarl J Friston
Apr 20, 2006·Journal of Theoretical Biology·Mauro Ursino, Giuseppe-Emiliano La Cara
Oct 4, 2006·Canadian Journal of Ophthalmology. Journal Canadien D'ophtalmologie·Jonathan C Horton
Nov 4, 2006·BMC Bioinformatics·Maria Rodriguez-FernandezJulio R Banga
Oct 5, 2007·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Stephanie R JonesChristopher I Moore
Jan 4, 2008·BMC Neuroscience·Aurelie VandenbeuchSue C Kinnamon
Apr 25, 2008·NeuroImage·K J FristonJ Daunizeau
Jun 13, 2008·NeuroImage·André C MarreirosKarl J Friston
Aug 7, 2008·IET Systems Biology·E Balsa-CantoJ R Banga
Sep 17, 2008·Essays in Biochemistry·Julio R Banga, Eva Balsa-Canto
Nov 13, 2008·NeuroImage·R J MoranK J Friston
Nov 18, 2008·NeuroImage·André C MarreirosKarl J Friston
Dec 25, 2008·Human Brain Mapping·Pedro A Valdes-SosaTohru Ozaki
Jan 22, 2009·IET Systems Biology·R SchenkendorfM Mangold
Feb 14, 2009·The FEBS Journal·Clemens Kreutz, Jens Timmer
Jul 22, 2009·Psychological Review·Jay I Myung, Mark A Pitt
Nov 17, 2009·PLoS Computational Biology·Samuel BandaraTobias Meyer
May 14, 2010·PLoS Computational Biology·Ghanim Ullah, Steven J Schiff
Aug 27, 2010·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Simal OzenGyörgy Buzsáki
Dec 17, 2010·Journal of Neurophysiology·M DesaiE S Boyden
Jan 18, 2011·NeuroImage·Rosalyn J MoranKarl J Friston
Mar 15, 2011·NeuroImage·Martin HavlicekVince D Calhoun
Jun 16, 2011·Neural Computation·Christopher DiMattina, Kechen Zhang
Aug 24, 2011·Journal of Computational Neuroscience·Jonathan Hunter Huggins, Liam Paninski
Jan 5, 2012·BMC Bioinformatics·Rebecca F HalperinStephen Albert Johnston
Apr 25, 2012·Journal of Neuroscience Methods·Armin BahlArnd Roth
Aug 17, 2012·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Neil C RabinowitzAndrew J King
Dec 5, 2012·PLoS Computational Biology·Madineh Sedigh-SarvestaniBruce J Gluckman
Feb 6, 2013·PLoS Computational Biology·Juliane LiepeMichael P H Stumpf
Jun 5, 2013·NeuroImage·João JorgePatrícia Figueiredo
Jun 14, 2013·Frontiers in Neural Circuits·Christopher DiMattina, Kechen Zhang
Jul 25, 2013·Frontiers in Computational Neuroscience·Faten MinaFabrice Wendling
Aug 1, 2013·Bioinformatics·Alberto Giovanni BusettoJoachim M Buhmann
Dec 18, 2013·Journal of Neurophysiology·Craig A AtencioSteven W Cheung
Jun 26, 2014·Biological cybernetics·C Daniel MelizaHenry D I Abarbanel
Jul 6, 2014·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Anna R ChambersDaniel B Polley
Aug 15, 2014·PloS One·Mahmoud HassanFabrice Wendling
Aug 26, 2014·The European Journal of Neuroscience·Gijs PlompChristoph M Michel
Aug 26, 2014·Neural Computation·Woojae KimJay I Myung
Oct 7, 2014·Frontiers in Systems Neuroscience·Bryan M KrauseMatthew I Banks

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