{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,30]],"date-time":"2026-04-30T05:52:39Z","timestamp":1777528359785,"version":"3.51.4"},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2011,3,1]],"date-time":"2011-03-01T00:00:00Z","timestamp":1298937600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Biol Cybern"],"published-print":{"date-parts":[[2011,3]]},"DOI":"10.1007\/s00422-011-0427-9","type":"journal-article","created":{"date-parts":[[2011,3,10]],"date-time":"2011-03-10T16:39:47Z","timestamp":1299775187000},"page":"185-195","source":"Crossref","is-referenced-by-count":7,"title":["Exploring optimal current stimuli that provide membrane voltage tracking in a neuron model"],"prefix":"10.1007","volume":"104","author":[{"given":"M.","family":"Ellinger","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M. E.","family":"Koelling","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"D. A.","family":"Miller","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"F. L.","family":"Severance","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J.","family":"Stahl","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2011,3,11]]},"reference":[{"issue":"10","key":"427_CR1","doi-asserted-by":"crossref","first-page":"1133","DOI":"10.1097\/00004647-200110000-00001","volume":"21","author":"D Atwell","year":"2001","unstructured":"Atwell D, Laughlin SB (2001) An energy budget for signaling in the grey matter of the brain. J Cereb Blood Flow Metab 21(10): 1133\u20131145","journal-title":"J Cereb Blood Flow Metab"},{"key":"427_CR2","doi-asserted-by":"crossref","first-page":"1651","DOI":"10.1016\/j.chaos.2007.06.016","volume":"39","author":"FR Chavarette","year":"2009","unstructured":"Chavarette FR, Balthazar JM, Rafikov M, Hermini HA (2009a) On non-linear dynamics and an optimal control synthesis of the action potential of membranes (ideal and non-ideal cases) of the Hodgkin-Huxley (HH) mathematical model. Chaos Solitons Fractals 39: 1651\u20131666","journal-title":"Chaos Solitons Fractals"},{"key":"427_CR3","doi-asserted-by":"crossref","first-page":"892","DOI":"10.1016\/j.cnsns.2007.10.016","volume":"14","author":"FR Chavarette","year":"2009","unstructured":"Chavarette FR, Balthazar JM, Peruzzi NJ, Rafikov M (2009b) On non-linear dynamics and control designs applied to the ideal and non-ideal variants of the Fitzhugh-Nagumo (FN) mathematical model. Commun Nonlinear Sci Numer Simul 14: 892\u2013905","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"427_CR4","doi-asserted-by":"crossref","first-page":"387","DOI":"10.1007\/s00422-009-0344-3","volume":"101","author":"P Danzl","year":"2009","unstructured":"Danzl P, Hespanha J, Moehlis J (2009) Event-based minimum-time control of oscillatory neuron models: phase randomization, maximal spike rate increase, and desynchronization. Biol Cybern 101: 387\u2013399","journal-title":"Biol Cybern"},{"key":"427_CR5","doi-asserted-by":"crossref","first-page":"1413","DOI":"10.3934\/dcds.2010.28.1413","volume":"28","author":"P Danzl","year":"2010","unstructured":"Danzl P, Nabi A, Moehlis J (2010) Charge-balanced spike timing control for phase models of spiking neurons. Discrete Continuous Dyn Syst 28: 1413\u20131435","journal-title":"Discrete Continuous Dyn Syst"},{"key":"427_CR6","doi-asserted-by":"crossref","first-page":"018101","DOI":"10.1103\/PhysRevLett.91.018101","volume":"91","author":"J Feng","year":"2003","unstructured":"Feng J, Tuckwell HC (2003) Optimal control of neuronal activity. Phys Rev Lett 91: 018101","journal-title":"Phys Rev Lett"},{"key":"427_CR7","unstructured":"Harmon K (2009) Earlier model of human brain\u2019s energy usage underestimated its efficiency. Scientific American, September 2009. Available at scientificamerican.com"},{"key":"427_CR8","volume-title":"Dynamical Systems in neuroscience: the geometry of excitability and bursting","author":"EM Izhikevich","year":"2007","unstructured":"Izhikevich EM (2007) Dynamical Systems in neuroscience: the geometry of excitability and bursting. The MIT Press, Cambridge, MA"},{"key":"427_CR9","volume-title":"Optimal control","author":"FL Lewis","year":"1995","unstructured":"Lewis FL, Syrmos VL (1995) Optimal control, 2 edn. Wiley, Inc., New York","edition":"2"},{"key":"427_CR10","doi-asserted-by":"crossref","first-page":"358","DOI":"10.1115\/1.2338654","volume":"1","author":"J Moehlis","year":"2006","unstructured":"Moehlis J, Shea-Brown E, Rabitz H (2006) Optimal inputs for phase models of spiking neurons. J Comput Nonlinear Dyn 1: 358\u2013367","journal-title":"J Comput Nonlinear Dyn"},{"key":"427_CR11","doi-asserted-by":"crossref","first-page":"1804","DOI":"10.1016\/j.bios.2005.09.008","volume":"21","author":"DK Mohan","year":"2006","unstructured":"Mohan DK, Molnar P, Hickman JJ (2006) Toxin detection based on action potential shape analysis using a realistic mathematical model of differentiated NG108-15 cells. Biosens Bioelectron 21: 1804\u20131811","journal-title":"Biosens Bioelectron"},{"key":"427_CR12","doi-asserted-by":"crossref","first-page":"1792","DOI":"10.1242\/jeb.017574","volume":"211","author":"JE Niven","year":"2008","unstructured":"Niven JE, Laughlin SB (2008) Energy limitation as a selective pressure on the evolution of sensory systems. J Exp Biol 211: 1792\u20131804","journal-title":"J Exp Biol"},{"key":"427_CR13","volume-title":"Spikes: exploring the neural code","author":"F Rieke","year":"1999","unstructured":"Rieke F, Warland D, de Ruyter van Steveninck R, Bialek W (1999) Spikes: exploring the neural code. The MIT Press, Cambridge, MA"},{"key":"427_CR14","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1088\/1741-2560\/5\/1\/001","volume":"5","author":"SJ Schiff","year":"2008","unstructured":"Schiff SJ, Sauer T (2008) Kalman filter control of a model of spatiotemporal cortical dynamics. J Neural Eng 5: 1\u20138","journal-title":"J Neural Eng"},{"key":"427_CR15","doi-asserted-by":"crossref","first-page":"e1000840","DOI":"10.1371\/journal.pcbi.1000840","volume":"6","author":"B Sengupta","year":"2010","unstructured":"Sengupta B, Stemmler M, Laughlin SB, Niven JE (2010) Action potential energy efficiency varies among neuron types in vertebrates and invertebrates. PLoS Comput Biol 6: e1000840","journal-title":"PLoS Comput Biol"},{"key":"427_CR16","unstructured":"Shampine LF, Kierzenka J, Reichelt MW (2010) Solving boundary value problems for ordinary differential equations in MATLAB with bvp4c. http:\/\/www.mathworks.com\/support\/solutions\/attachment.html?resid=1-9SOW1I&solution=1-15S5M , October 8"},{"key":"427_CR17","doi-asserted-by":"crossref","unstructured":"Stigen T, Danzl P, Moehlis J, Netoff T (2009) Linear control of neuronal spike timing using phase response curves. In: 31st Annual international conference of the IEEE EMBS, (Minneapolis), pp 1541\u20131544, September 2\u20136","DOI":"10.1109\/IEMBS.2009.5333079"},{"key":"427_CR18","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-540-38161-7","volume-title":"Phase resetting in medicine and biology","author":"PA Tass","year":"1999","unstructured":"Tass PA (1999) Phase resetting in medicine and biology. Springer Verlag, New York"},{"issue":"1","key":"427_CR19","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1209\/epl\/i2001-00117-6","volume":"53","author":"PA Tass","year":"2000","unstructured":"Tass PA (2000) Effective desynchronization by means of double-pulse phase resetting. Europhys Lett 53(1): 15\u201321","journal-title":"Europhys Lett"},{"key":"427_CR20","doi-asserted-by":"crossref","first-page":"040901","DOI":"10.1103\/PhysRevE.79.040901","volume":"79","author":"G Ullah","year":"2009","unstructured":"Ullah G, Schiff SJ (2009) Tracking and control of neuronal Hodgkin-Huxley dynamics. Phys Rev E 79: 040901","journal-title":"Phys Rev E"}],"container-title":["Biological Cybernetics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00422-011-0427-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00422-011-0427-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00422-011-0427-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,9]],"date-time":"2019-06-09T05:58:21Z","timestamp":1560059901000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00422-011-0427-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,3]]},"references-count":20,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2011,3]]}},"alternative-id":["427"],"URL":"https:\/\/doi.org\/10.1007\/s00422-011-0427-9","relation":{},"ISSN":["0340-1200","1432-0770"],"issn-type":[{"value":"0340-1200","type":"print"},{"value":"1432-0770","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,3]]}}}