Abstract
Like all biological and chemical reactions, ion channel kinetics are highly sensitive to changes in temperature. Therefore, it is prudent to investigate channel dynamics at physiological temperatures. However, most ion channel investigations are performed at room temperature due to practical considerations, such as recording stability and technical limitations. This problem is especially severe for the fast voltage-gated sodium channel, whose activation kinetics are faster than the time constant of the standard patch-clamp amplifier at physiological temperatures. Thus, biologically detailed simulations of the action potential generation evenly scale the kinetic models of voltage-gated channels acquired at room temperature. To quantitatively study voltage-gated sodium channels' temperature sensitivity, we recorded sodium currents from nucleated patches extracted from the rat's layer five neocortical pyramidal neurons at several temperatures from 13.5 to 30 °C. We use these recordings to model the kinetics of the voltage-gated sodium channel as a function of temperature. We show that the temperature dependence of activation differs from that of inactivation. Furthermore, the data indicate that the sustained current has a different temperature dependence than the fast current. Our kinetic and thermodynamic analysis of the current provided a numerical model spanning the entire temperature range. This model reproduced vital features of channel activation and inactivation. Furthermore, the model also reproduced action potential dependence on temperature. Thus, we provide an essential building block for the generation of biologically detailed models of cortical neurons.
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Data will be available upon a request to corresponding author. Model code is available from ModelDB (note to reviewers: model code will be deposited on acceptance of article).
References
Allen TJA, Mikala G (1998) Effects of temperature on human L-type cardiac Ca2+ channels expressed in Xenopus oocytes. Pflugers Arch Eur J Physiol 436:238–247
Almog M, Korngreen A (2009) Characterization of voltage-gated Ca2+ conductances in layer 5 neocortical pyramidal neurons from rats. PLoS ONE 4:e4841
Almog M, Korngreen A (2014) A quantitative description of dendritic conductances and its application to dendritic excitation in layer 5 pyramidal neurons. J Neurosci 34:182–196
Almog M, Korngreen A (2016) Is realistic neuronal modeling realistic? J Neurophysiol. https://doi.org/10.1152/jn.00360.2016
Almog M, Barkai T, Lampert A, Korngreen A (2018) Voltage-gated sodium channels in neocortical pyramidal neurons display cole-moore activation kinetics. Front Cell Neurosci 12:187
Arrhenius S (1889) Über die Reaktionsgeschwindigkeit bei der Inversion von Rohrzucker durch Säuren. Zeitschrift Für Phys Chemie 4U:226–248
Axon Instruments I (1998) The Axon CNS Guide. Mol Devices, 1–298
Bar-Yehuda D, Ben-Porat H, Korngreen A, Bar-Yehuda D (2008) Dendritic excitability during increased synaptic activity in rat neocortical L5 pyramidal neurons. Eur J Neurosci 28:2183–2194
Carnevale NT, Hines ML (2006) The NEURON book. Cambridge University Press, Cambridge, UK, New York
Chadda KR, Jeevaratnam K, Lei M, Huang CLH (2017) Sodium channel biophysics, late sodium current and genetic arrhythmic syndromes. Pflugers Arch Eur J Physiol 469:629–641
Collins CA, Rojas E (1982) Temperature dependence of the sodium channel gating kinetics in the node of Ranvier. Q J Exp Physiol 67:41–55
Decoursey TE, Cherny VV (1998) Temperature dependence of voltage-gated H+ currents in human neutrophils, rat alveolar epithelial cells, and mammalian phagocytes. J Gen Physiol 112:503–522
DeMaegd ML, Stein W (2020) Temperature-robust activity patterns arise from coordinated axonal Sodium channel properties. PLoS Comput Biol 16:1–25
Egri C, Ruben PC (2012) A hot topic: temperature sensitive sodium channelopathies. Channels. https://doi.org/10.4161/chan.19827
Egri C, Vilin YY, Ruben PC (2012) A thermoprotective role of the sodium channel β 1 subunit is lost with the β 1(C121W) mutation. Epilepsia 53:494–505
Frankenhaeuser B, Moore LE (1963) The effect of temperature on the sodium and potassium permeability changes in myelinated nerve fibres of Xenopus laevis. J Physiol 169:431–437
Gold C, Henze DA, Koch C (2007) Using extracellular action potential recordings to constrain compartmental models. J Comput Neurosci 23:39–58
Gurkiewicz M, Korngreen A (2007) A numerical approach to ion channel modelling using whole-cell voltage-clamp recordings and a genetic algorithm. PLoS Comput Biol 3:e169
Gurkiewicz M, Korngreen A, Waxman SG, Lampert A (2011) Kinetic modeling of nav1.7 provides insight into erythromelalgia-associated F1449V mutation. J Neurophysiol 105:1546–1557
Hay E, Hill S, Schürmann F, Markram H, Segev I (2011) Models of neocortical layer 5b pyramidal cells capturing a wide range of dendritic and perisomatic active properties. PLoS Comput Biol 7:e1002107
Hines ML, Carnevale NT (2000) Expanding NEURON’s repertoire of mechanisms with NMODL. Neural Comput 12:995–1007
Hodgkin AL, Katz B (1949) The effect of sodium ions on the electrical activity of the giant axon of the squid. J Physiol 108:37–77
Hsu CL, Zhao X, Milstein AD, Spruston N (2018) Persistent sodium current mediates the steep voltage dependence of spatial coding in hippocampal pyramidal neurons. Neuron 99:147-162.e8
Hu W, Tian C, Li T, Yang M, Hou H, Shu Y (2009) Distinct contributions of Nav1.6 and Nav1.2 in action potential initiation and backpropagation. Nat Neurosci 12:996–1002
Keren N, Peled N, Korngreen A (2005) Constraining compartmental models using multiple voltage recordings and genetic algorithms. J Neurophysiol 94:3730–3742
Keren N, Bar-yehuda D, Korngreen A (2009) Experimentally guided modelling of dendritic excitability in rat neocortical pyramidal neurones. J Physiol 587:1413–1437
Kim JA, Connors BW (2012) High temperatures alter physiological properties of pyramidal cells and inhibitory interneurons in hippocampus. Front Cell Neurosci 6:1–12
Korngreen A, Sakmann B (2000) Voltage-gated K+ channels in layer 5 neocortical pyramidal neurones from young rats: subtypes and gradients. J Physiol 525(Pt 3):621–639
Korogod SM, Demianenko LE (2017) Temperature effects on non-TRP ion channels and neuronal excitability. Opera Medica Physiol 3:84–92
Kuo JJ, Lee RH, Zhang L, Heckman CJ (2006) Essential role of the persistent sodium current in spike initiation during slowly rising inputs in mouse spinal neurones. J Physiol 574:819–834
Markram H et al (2015) Reconstruction and simulation of neocortical microcircuitry. Cell 163:456–492
Milburn T, Saint DA, Chung SH (1995) The temperature dependence of conductance of the sodium channel: Implications for mechanisms of ion permeation. Recept Channels 3:201–211
Misra SN, Kahlig KM, George AL (2008) Impaired NaV1.2 function and reduced cell surface expression in benign familial neonatal-infantile seizures. Epilepsia 49:1535–1545
Ranjan R, Logette E, Marani M, Herzog M, Tâche V, Scantamburlo E, Buchillier V, Markram H (2019) A kinetic map of the homomeric voltage-gated potassium channel (Kv) family. Front Cell Neurosci. https://doi.org/10.3389/fncel.2019.00358
Reimann M, Anastassiou C, Perin R, Hill SL, Markram H, Koch C (2013) A biophysically detailed model of neocortical local field potentials predicts the critical role of active membrane currents. Neuron 79:375–390
Rosen AD (2001) Nonlinear temperature modulation of sodium channel kinetics in GH3 cells. Biochim Biophys Acta - Biomembr 1511:391–396
Sather W, Dieudonne S, MacDonald JF, Ascher P (1992) Activation and desensitization of N-methyl-D-aspartate receptors in nucleated outside-out patches from mouse neurones. J Physiol 450:643–672
Stafstrom CE (2007) Persistent sodium current and its role in epilepsy. Epilepsy Curr 7:15–22
Stover BJ, Eyring H, Johnson FH (1974) The theory of rate processes in biology and medicine. Wiley and Sons, Chichester, Sussex
Stuart GJ, Dodt HU, Sakmann B (1993) Patch-clamp recordings from the soma and dendrites of neurons in brain slices using infrared video microscopy. Pflugers Arch 423:511–518
Thomas EA, Hawkins RJ, Richards KL, Xu R, Gazina EV, Petrou S (2009) Heat opens axon initial segment sodium channels: a febrile seizure mechanism? Ann Neurol 66:219–226
Weight FF, Erulkar SD (1976) Synaptic transmission and effects of temperature at the squid giant synapse. Nature 261:720–722
Zimmermann K, Leffler A, Babes A, Cendan CM, Carr RW, Kobayashi JI, Nau C, Wood JN, Reeh PW (2007) Sensory neuron sodium channel Nav1.8 is essential for pain at low temperatures. Nature 447:855–858
Acknowledgements
This work was supported by grants from the Israel Science Foundation to AK (#225/20).
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This work was supported by grants from the Israel Science Foundation to AK (#225/20).
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AK and MA designed the study, performed the experiments, and analyzed the data. NDK and AK drafted and revised the manuscript. All authors read and approved the final version of the manuscript for publication.
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Almog, M., Degani-Katzav, N. & Korngreen, A. Kinetic and thermodynamic modeling of a voltage-gated sodium channel. Eur Biophys J 51, 241–256 (2022). https://doi.org/10.1007/s00249-022-01591-3
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DOI: https://doi.org/10.1007/s00249-022-01591-3