{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,14]],"date-time":"2026-06-14T12:47:00Z","timestamp":1781441220252,"version":"3.54.1"},"reference-count":30,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2000,11,1]],"date-time":"2000-11-01T00:00:00Z","timestamp":973036800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2000,11,1]],"date-time":"2000-11-01T00:00:00Z","timestamp":973036800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Comput Neurosci"],"published-print":{"date-parts":[[2000,11]]},"DOI":"10.1023\/a:1026535704537","type":"journal-article","created":{"date-parts":[[2003,11,6]],"date-time":"2003-11-06T17:11:16Z","timestamp":1068138676000},"page":"259-270","source":"Crossref","is-referenced-by-count":60,"title":["Nonlinear Thermodynamic Models of Voltage-Dependent Currents"],"prefix":"10.1007","volume":"9","author":[{"given":"Alain","family":"Destexhe","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"John R.","family":"Huguenard","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","reference":[{"key":"277124_CR1","doi-asserted-by":"crossref","first-page":"436","DOI":"10.1038\/306436a0","volume":"306","author":"RW Aldrich","year":"1983","unstructured":"Aldrich RW, Corey DP, Stevens CF (1983) A reinterpretation of mammalian sodium channel gating based on single channel recording. Nature 306:436-441.","journal-title":"Nature"},{"key":"277124_CR2","doi-asserted-by":"crossref","first-page":"S89","DOI":"10.1152\/physrev.1992.72.suppl_4.S89","volume":"72","author":"O Andersen","year":"1992","unstructured":"Andersen O, Koeppe RE II (1992) Molecular determinants of channel function. Physiol. Rev. 72:S89-S158.","journal-title":"Physiol. Rev."},{"key":"277124_CR3","doi-asserted-by":"crossref","first-page":"644","DOI":"10.1152\/physrev.1981.61.3.644","volume":"62","author":"CM Armstrong","year":"1981","unstructured":"Armstrong CM (1981) Sodium channels and gating currents. Physiol. Rev. 62:644-683.","journal-title":"Physiol. Rev."},{"key":"277124_CR4","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1007\/BF01868424","volume":"88","author":"F Bezanilla","year":"1985","unstructured":"Bezanilla F (1985) Gating of sodium and potassium channels. J. Membr. Biol. 88:97-111.","journal-title":"J. Membr. Biol."},{"key":"277124_CR5","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1093\/oso\/9780199631063.003.0013","volume-title":"Cellular and Molecular Neurobiology: A Practical Approach","author":"LJ Borg-Graham","year":"1991","unstructured":"Borg-Graham LJ (1991) Modeling the nonlinear conductances of excitable membranes. In: H Wheal, J Chad, eds. Cellular and Molecular Neurobiology: A Practical Approach. Oxford University Press, New York. pp. 247-275."},{"key":"277124_CR6","doi-asserted-by":"crossref","first-page":"603","DOI":"10.1085\/jgp.96.3.603","volume":"96","author":"C Chen","year":"1990","unstructured":"Chen C, Hess P (1990) Mechanisms of gating of T-type calcium channels. J. Gen. Physiol. 96:603-630.","journal-title":"J. Gen. Physiol."},{"key":"277124_CR7","volume-title":"Non-equilibrium Thermodynamics","author":"SR de Groot","year":"1962","unstructured":"de Groot SR, Mazur P. (1962) Non-equilibrium Thermodynamics. North Holland, Amsterdam."},{"key":"277124_CR8","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1007\/BF00961734","volume":"1","author":"A Destexhe","year":"1994","unstructured":"Destexhe A, Mainen ZF, Sejnowski TJ (1994) Synthesis of models for excitable membranes, synaptic transmission and neuromodulation using a common kinetic formalism. J. Comput. Neurosci. 1:195-230.","journal-title":"J. Comput. Neurosci."},{"key":"277124_CR9","doi-asserted-by":"crossref","first-page":"3574","DOI":"10.1523\/JNEUROSCI.18-10-03574.1998","volume":"18","author":"A Destexhe","year":"1998","unstructured":"Destexhe A, Neubig M, Ulrich D, Huguenard JR (1998) Dendritic low-threshold calcium currents in thalamic relay cells. J. Neurosci. 18:3574-3588.","journal-title":"J. Neurosci."},{"key":"277124_CR10","first-page":"331","volume-title":"Thalamus","author":"A Destexhe","year":"1997","unstructured":"Destexhe A, Sejnowski TJ (1997) Synchronized oscillations in thalamic networks: Insights from modeling studies. In: Steriade M, Jones EG, McCormick DA, eds. Thalamus. Elsevier, Amsterdam. pp. 331-371."},{"key":"277124_CR11","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1063\/1.1749604","volume":"3","author":"H Eyring","year":"1935","unstructured":"Eyring H (1935) The activated complex in chemical reactions. J. Chem. Phys. 3:107-115.","journal-title":"J. Chem. Phys."},{"key":"277124_CR12","first-page":"100","volume":"10","author":"H Eyring","year":"1949","unstructured":"Eyring H, Lumry R, Woodbury JW (1949) Some applications of modern rate theory to physiological systems. Record Chem. Prog. 10:100-114.","journal-title":"Record Chem. Prog."},{"key":"277124_CR13","doi-asserted-by":"crossref","first-page":"1723","DOI":"10.1073\/pnas.69.7.1723","volume":"69","author":"TL Hill","year":"1972","unstructured":"Hill TL, Chen YD (1972) On the theory of ion transport across nerve membranes. VI. Free energy and activation free energies of conformational change. Proc. Natl. Acad. Sci. USA 69:1723-1726.","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"277124_CR14","volume-title":"Ionic Channels of Excitable Membranes","author":"B Hille","year":"1992","unstructured":"Hille B (1992) Ionic Channels of Excitable Membranes. Sinauer Associates, Sunderland, MA."},{"key":"277124_CR15","doi-asserted-by":"crossref","first-page":"1179","DOI":"10.1162\/neco.1997.9.6.1179","volume":"9","author":"ML Hines","year":"1997","unstructured":"Hines ML, Carnevale NT (1997) The NEURON simulation environment. Neural Computation 9:1179-1209.","journal-title":"Neural Computation"},{"key":"277124_CR16","doi-asserted-by":"crossref","first-page":"500","DOI":"10.1113\/jphysiol.1952.sp004764","volume":"117","author":"AL Hodgkin","year":"1952","unstructured":"Hodgkin AL, Huxley AF (1952) A quantitative description of membrane current and its application to conduction and excitation in nerve. J. Physiol. 117:500-544.","journal-title":"J. Physiol."},{"key":"277124_CR17","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1146\/annurev.ph.58.030196.001553","volume":"58","author":"JR Huguenard","year":"1996","unstructured":"Huguenard JR (1996) Low-threshold calcium currents in central nervous system neurons. Ann. Revi. Physiol. 58:329-348.","journal-title":"Ann. Revi. Physiol."},{"key":"277124_CR18","doi-asserted-by":"crossref","first-page":"1373","DOI":"10.1152\/jn.1992.68.4.1373","volume":"68","author":"JR Huguenard","year":"1992","unstructured":"Huguenard JR, McCormick DA (1992) Simulation of the currents involved in rhythmic oscillations in thalamic relay neurons. J. Neurophysiol. 68:1373-1383.","journal-title":"J. Neurophysiol."},{"key":"277124_CR19","doi-asserted-by":"crossref","first-page":"3804","DOI":"10.1523\/JNEUROSCI.12-10-03804.1992","volume":"12","author":"JR Huguenard","year":"1992","unstructured":"Huguenard JR, Prince DA (1992) A novel T-type current underlies prolonged calcium-dependent burst firing in GABAergic neurons of rat thalamic reticular nucleus. J. Neurosci. 12:3804-3817.","journal-title":"J. Neurosci."},{"key":"277124_CR20","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1113\/jphysiol.1984.sp015154","volume":"349","author":"H Jahnsen","year":"1984","unstructured":"Jahnsen H, Llin\u00e1s RR (1984) Ionic basis for the electroresponsiveness and oscillatory properties of guinea-pig thalamic neurons in vitro. J. Physiol. 349:227-247.","journal-title":"J. Physiol."},{"key":"277124_CR21","volume-title":"The Theory of Rate Processes in Biology and Medicine","author":"FH Johnson","year":"1974","unstructured":"Johnson FH, Eyring H, Stover BJ (1974) The Theory of Rate Processes in Biology and Medicine. J. Wiley, New York."},{"key":"277124_CR22","volume-title":"Foundations of Cellular Neurophysiology","author":"D Johnston","year":"1995","unstructured":"Johnston D, Wu SM (1995) Foundations of Cellular Neurophysiology. MIT Press, Cambridge, MA."},{"key":"277124_CR23","volume-title":"Nonequilibrium Thermodynamics and Its Statistical Foundations","author":"HJ Kreuzer","year":"1981","unstructured":"Kreuzer HJ (1981) Nonequilibrium Thermodynamics and Its Statistical Foundations. Oxford University Press, Oxford."},{"key":"277124_CR24","doi-asserted-by":"crossref","first-page":"1384","DOI":"10.1152\/jn.1992.68.4.1384","volume":"68","author":"DA McCormick","year":"1992","unstructured":"McCormick DA, Huguenard JR (1992) A model of the electrophysiological properties of thalamocortical relay neurons. J. Neurophysiol. 68:1384-1400.","journal-title":"J. Neurophysiol."},{"key":"277124_CR25","volume-title":"Numerical Recipes: The Art of Scientific Computing","author":"WH Press","year":"1986","unstructured":"Press WH, Flannery BP, Teukolsky SA, Vetterling WT (1986) Numerical Recipes: The Art of Scientific Computing. Cambridge University Press, Cambridge."},{"key":"277124_CR26","doi-asserted-by":"crossref","first-page":"782","DOI":"10.1016\/S0006-3495(99)77243-7","volume":"76","author":"D Sigg","year":"1999","unstructured":"Sigg D, Quian H, Bezanilla F (1999) Kramers' diffusion theory applied to the gating kinetics of voltage-dependent ion channels. Biophys. J. 76:782-803.","journal-title":"Biophys. J."},{"key":"277124_CR27","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1017\/S0033583500002894","volume":"27","author":"FJ Sigworth","year":"1993","unstructured":"Sigworth FJ (1993) Voltage gating of ion channels. Quart. Rev. Biophys. 27:1-40.","journal-title":"Quart. Rev. Biophys."},{"key":"277124_CR28","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1016\/S0006-3495(78)85490-3","volume":"22","author":"CF Stevens","year":"1978","unstructured":"Stevens CF (1978) Interactions between intrinsic membrane protein and electric field. Biophys. J. 22:295-306.","journal-title":"Biophys. J."},{"key":"277124_CR29","doi-asserted-by":"crossref","first-page":"248","DOI":"10.1007\/BF01869785","volume":"1","author":"RW Tsien","year":"1969","unstructured":"Tsien RW, Noble D (1969) A transition state theory approach to the kinetics of conductances in excitable membranes. J. Membr. Biol. 1:248-273.","journal-title":"J. Membr. Biol."},{"key":"277124_CR30","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1023\/A:1008880518515","volume":"6","author":"AR Willms","year":"1999","unstructured":"Willms AR, Baro DJ, Harris-Warrick RM, Guckenheimer J. (1999) An improved parameter estimation method for Hodgkin-Huxley models. J. Comput. Neurosci. 6:145-168.","journal-title":"J. Comput. Neurosci."}],"container-title":["Journal of Computational Neuroscience"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1026535704537.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1026535704537\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1026535704537.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,6]],"date-time":"2025-06-06T09:39:39Z","timestamp":1749202779000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1026535704537"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,11]]},"references-count":30,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2000,11]]}},"alternative-id":["277124"],"URL":"https:\/\/doi.org\/10.1023\/a:1026535704537","relation":{},"ISSN":["0929-5313","1573-6873"],"issn-type":[{"value":"0929-5313","type":"print"},{"value":"1573-6873","type":"electronic"}],"subject":[],"published":{"date-parts":[[2000,11]]}}}