{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,3]],"date-time":"2025-12-03T05:41:17Z","timestamp":1764740477594},"reference-count":27,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Neur. Syst."],"published-print":{"date-parts":[[2010,6]]},"abstract":"<jats:p> We consider the problem of how to recover the state and parameter values of typical model neurons, such as Hindmarsh-Rose, FitzHugh-Nagumo, Morris-Lecar, from in-vitro measurements of membrane potentials. In control theory, in terms of observer design, model neurons qualify as locally observable. However, unlike most models traditionally addressed in control theory, no parameter-independent diffeomorphism exists, such that the original model equations can be transformed into adaptive canonic observer form. For a large class of model neurons, however, state and parameter reconstruction is possible nevertheless. We propose a method which, subject to mild conditions on the richness of the measured signal, allows model parameters and state variables to be reconstructed up to an equivalence class. <\/jats:p>","DOI":"10.1142\/s0129065710002358","type":"journal-article","created":{"date-parts":[[2010,6,16]],"date-time":"2010-06-16T11:27:25Z","timestamp":1276687645000},"page":"193-207","source":"Crossref","is-referenced-by-count":17,"title":["STATE AND PARAMETER ESTIMATION FOR CANONIC MODELS OF NEURAL OSCILLATORS"],"prefix":"10.1142","volume":"20","author":[{"given":"IVAN","family":"TYUKIN","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Leicester, University Road Leicester, LE1 7RH, United Kingdom"}]},{"given":"ERIK","family":"STEUR","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, P.O. Box 513 5600 MP, The Netherlands"}]},{"given":"HENK","family":"NIJMEIJER","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, P.O. Box 513 5600 MP, The Netherlands"}]},{"given":"DAVID","family":"FAIRHURST","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Leicester, University Road, Leicester, LE1 7RH, United Kingdom"}]},{"given":"INSEON","family":"SONG","sequence":"additional","affiliation":[{"name":"Neuronal Circuit Mechanisms Research Group, RIKEN Brain Science Institute, Wako-shi, 351-0198, Japan"}]},{"given":"ALEXEY","family":"SEMYANOV","sequence":"additional","affiliation":[{"name":"Neuronal Circuit Mechanisms Research Group, RIKEN Brain Science Institute, Wako-shi, 351-0198, Japan"}]},{"given":"CEES VAN","family":"LEEUWEN","sequence":"additional","affiliation":[{"name":"Laboratory for Perceptual Dynamics, RIKEN Brain Science Institute, Wako-shi, 351-0198, Japan"}]}],"member":"219","published-online":{"date-parts":[[2012,4,30]]},"reference":[{"key":"rf1","first-page":"1341","volume":"4","author":"Abarbanel H. D. I.","journal-title":"SIAM J. Applied Dynamical Systems"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(00)00062-2"},{"key":"rf3","volume-title":"On Line Estimation and Adaptive Control of Bioreactors","author":"Bastin G.","year":"1990"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1109\/9.1273"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1162\/neco.2006.18.6.1413"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1098\/rsta.2007.2108"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1051\/mmnp\/20105206"},{"key":"rf8","author":"Gorban A.","journal-title":"Electronic Journal of Differential Equations"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1038\/296162a0"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1098\/rspb.1984.0024"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1152\/jn.00079.2006"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1023\/A:1008297214946"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127400000840"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0712231105"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0407900101"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1002\/047134608X.W1046"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1109\/9.58536"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1109\/9.151117"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1109\/9.186309"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1109\/9.400471"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1007\/BF01212280"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1142\/S0129065707000956"},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2101-0"},{"key":"rf25","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pcbi.1000198"},{"key":"rf26","doi-asserted-by":"publisher","DOI":"10.1152\/jn.00641.2003"},{"key":"rf27","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127408021634"},{"key":"rf31","doi-asserted-by":"publisher","DOI":"10.1137\/060672546"}],"container-title":["International Journal of Neural Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0129065710002358","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T16:50:29Z","timestamp":1565110229000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0129065710002358"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,6]]},"references-count":27,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2012,4,30]]},"published-print":{"date-parts":[[2010,6]]}},"alternative-id":["10.1142\/S0129065710002358"],"URL":"https:\/\/doi.org\/10.1142\/s0129065710002358","relation":{},"ISSN":["0129-0657","1793-6462"],"issn-type":[{"value":"0129-0657","type":"print"},{"value":"1793-6462","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,6]]}}}