{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,27]],"date-time":"2026-02-27T06:18:51Z","timestamp":1772173131223,"version":"3.50.1"},"update-to":[{"DOI":"10.1371\/journal.pcbi.1010479","type":"new_version","label":"New version","source":"publisher","updated":{"date-parts":[[2022,9,27]],"date-time":"2022-09-27T00:00:00Z","timestamp":1664236800000}}],"reference-count":56,"publisher":"Public Library of Science (PLoS)","issue":"9","license":[{"start":{"date-parts":[[2022,9,15]],"date-time":"2022-09-15T00:00:00Z","timestamp":1663200000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/100000025","name":"National Institute of Mental Health","doi-asserted-by":"publisher","award":["F32MH118700"],"award-info":[{"award-number":["F32MH118700"]}],"id":[{"id":"10.13039\/100000025","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Swartz Foundation"},{"DOI":"10.13039\/100000055","name":"National Institute on Deafness and Other Communication Disorders","doi-asserted-by":"publisher","award":["K99DC019397"],"award-info":[{"award-number":["K99DC019397"]}],"id":[{"id":"10.13039\/100000055","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["www.ploscompbiol.org"],"crossmark-restriction":false},"short-container-title":["PLoS Comput Biol"],"abstract":"<jats:p>Functional forms of biophysically-realistic neuron models are constrained by neurobiological and anatomical considerations, such as cell morphologies and the presence of known ion channels. Despite these constraints, neuron models still contain unknown static parameters which must be inferred from experiment. This inference task is most readily cast into the framework of state-space models, which systematically takes into account partial observability and measurement noise. Inferring only dynamical state variables such as membrane voltages is a well-studied problem, and has been approached with a wide range of techniques beginning with the well-known Kalman filter. Inferring both states and fixed parameters, on the other hand, is less straightforward. Here, we develop a method for joint parameter and state inference that combines traditional state space modeling with chaotic synchronization and optimal control. Our methods are tailored particularly to situations with considerable measurement noise, sparse observability, very nonlinear or chaotic dynamics, and highly uninformed priors. We illustrate our approach both in a canonical chaotic model and in a phenomenological neuron model, showing that many unknown parameters can be uncovered reliably and accurately from short and noisy observed time traces. Our method holds promise for estimation in larger-scale systems, given ongoing improvements in calcium reporters and genetically-encoded voltage indicators.<\/jats:p>","DOI":"10.1371\/journal.pcbi.1010479","type":"journal-article","created":{"date-parts":[[2022,9,15]],"date-time":"2022-09-15T14:01:37Z","timestamp":1663250497000},"page":"e1010479","update-policy":"https:\/\/doi.org\/10.1371\/journal.pcbi.corrections_policy","source":"Crossref","is-referenced-by-count":4,"title":["Optimal control methods for nonlinear parameter estimation in biophysical neuron models"],"prefix":"10.1371","volume":"18","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9978-6450","authenticated-orcid":true,"given":"Nirag","family":"Kadakia","sequence":"first","affiliation":[]}],"member":"340","published-online":{"date-parts":[[2022,9,15]]},"reference":[{"key":"pcbi.1010479.ref001","volume-title":"Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting","author":"EM Izhikevich","year":"2007"},{"key":"pcbi.1010479.ref002","volume-title":"Foundations of Cellular Neurophysiology","author":"D Johnston","year":"1995"},{"key":"pcbi.1010479.ref003","volume-title":"Theoretical Neuroscience: Computational and Mathematical Modeling of Neural Systems","author":"P Dayan","year":"2005"},{"key":"pcbi.1010479.ref004","doi-asserted-by":"crossref","first-page":"500","DOI":"10.1113\/jphysiol.1952.sp004764","article-title":"A quantitative description of membrane current and its application to conduction and excitation in nerve","volume":"117","author":"AL Hodgkin","year":"1952","journal-title":"The Journal of Physiology"},{"key":"pcbi.1010479.ref005","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781139344203","volume-title":"Bayesian Filtering and Smoothing","author":"S S\u00e4rkk\u00e4","year":"2013"},{"key":"pcbi.1010479.ref006","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1007\/s10827-009-0179-x","article-title":"A new look at state-space models for neural data","volume":"29","author":"L Paninski","year":"2010","journal-title":"Journal of Computational Neuroscience"},{"key":"pcbi.1010479.ref007","unstructured":"Kadakia N. 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