A simple modification of the Hodgkin and Huxley equations explains type 3 excitability in squid giant axons by John R Clay, David Paydarfar, and Daniel.

Slides:



Advertisements
Similar presentations
Outline Neuronal excitability Nature of neuronal electrical signals Convey information over distances Convey information to other cells via synapses Signals.
Advertisements

Outline Neuronal excitability Nature of neuronal electrical signals Convey information over distances Convey information to other cells via synapses Signals.
Na + and Ca 2+ CHANNELOPATHIES Na + channel (NaV1.4) Potassium aggravated myotonia Paramyotonia congenita Hyperkalemia periodic paralysis Hypokalemic periodic.
Nathan Law Medical Biophysics 3970 Western University 03/24/13
Transmission and dose–response experiments for social animals: a reappraisal of the colonization biology of Campylobacter jejuni in chickens by Andrew.
Kinematic measures for assessing gait stability in elderly individuals: a systematic review by D. Hamacher, N.B. Singh, J.H. Van Dieën, M.O. Heller, and.
Bioelectricity Provides basis for “irritability” or “excitability Fundamental property of all living cells Related to minute differences in the electrical.
Excitability Information processing in the retina Artificial neural networks Introduction to Neurobiology
Equivalent Circuit of an Axon Membrane
DePaul Faculty Teaching & Learning Conference Research as a Teaching Tool Dorothy Kozlowski Ph.D. Department of Biological Sciences.
Radar clutter suppression and target discrimination using twin inverted pulses by T. G. Leighton, G. H. Chua, P. R. White, K. F. Tong, H. D. Griffiths,
Controlling spins with light by Andrei Kirilyuk, Alexey V. Kimel, and Theo Rasing Philosophical Transactions A Volume 369(1951): September 28,
Comparing the ODE and PDE Models of the Hodgkin-Huxley Equation Sarah Arvey, Haley Rosehill Calculus 114.
When does a physical system compute? by Clare Horsman, Susan Stepney, Rob C. Wagner, and Viv Kendon Proceedings A Volume 470(2169): September 8,
Reception and learning of electric fields in bees by Uwe Greggers, Gesche Koch, Viola Schmidt, Aron Dürr, Amalia Floriou-Servou, David Piepenbrock, Martin.
Myelinated and unmyelinated axons: how they work and what they do 1.
Neural codes and spiking models. Neuronal codes Spiking models: Hodgkin Huxley Model (small regeneration) Reduction of the HH-Model to two dimensions.
A mathematical model of tumour self-seeding reveals secondary metastatic deposits as drivers of primary tumour growth by Jacob G. Scott, David Basanta,
Simulation of lung alveolar epithelial wound healing in vitro by Sean H. J. Kim, Michael A. Matthay, Keith Mostov, and C. Anthony Hunt Interface Volume.
Theory of hybrid dynamical systems and its applications to biological and medical systems by Kazuyuki Aihara, and Hideyuki Suzuki Philosophical Transactions.
Romain Brette Ecole Normale Supérieure, Paris What is the most realistic single-compartment neuron model?
What can information-asymmetric games tell us about the context of Crick's ‘frozen accident’? by Justin Jee, Andrew Sundstrom, Steven E. Massey, and Bud.
Box 3A The Voltage Clamp Technique
Biological Modeling of Neural Networks Week 2 – Biophysical modeling: The Hodgkin-Huxley model Wulfram Gerstner EPFL, Lausanne, Switzerland 2.1 Biophysics.
Figure 1 A high level of Ca2+ influx achieved by prolonging the depolarizing pulse abolishes the inhibitory effect of PGE1 on exocytosis. A high level.
Invest. Ophthalmol. Vis. Sci ;50(4): doi: /iovs Figure Legend:
Resting potential, Measurement of Ion Movement
M. Martini, M.L. Rossi, G. Rubbini, G. Rispoli  Biophysical Journal 
HODGKIN–HUXLEY MODEL OF THE ACTION POTENTIAL
Nerve Excitation Topic II-2 Biophysics.
Nerve Excitation Biophysics.
Hodgin & Huxley The problem: Explain action potentials
Requirement for a β subunit for the modulation of whole-cell CaV2
Functional Modularity of the β-Subunit of Voltage-Gated Ca2+ Channels
Nens220, Lecture 5 Beyond Hodgkin-Huxley
Hodgkin & Huxley model for action potential
Transmembrane Movement of the Shaker K+ Channel S4
Volume 6, Issue 4, Pages (April 2009)
Altered Subthreshold Sodium Currents and Disrupted Firing Patterns in Purkinje Neurons of Scn8a Mutant Mice  Indira M Raman, Leslie K Sprunger, Miriam.
FPL Modification of CaV1
Volume 34, Issue 5, Pages (May 2002)
Victor G. Romanenko, George H. Rothblat, Irena Levitan 
Zhuren Wang, J. Christian Hesketh, David Fedida  Biophysical Journal 
Volume 16, Issue 1, Pages (January 1996)
Active Currents Regulate Sensitivity and Dynamic Range in C
Presynaptic Action Potential Amplification by Voltage-Gated Na+ Channels in Hippocampal Mossy Fiber Boutons  Dominique Engel, Peter Jonas  Neuron  Volume.
Fast and Slow Contrast Adaptation in Retinal Circuitry
David C. Immke, Edwin W. McCleskey  Neuron 
Mark M. Millonas, Dorothy A. Hanck  Biophysical Journal 
Nicholas J. Priebe, David Ferster  Neuron 
Figure 2 PGE1 inhibits endocytosis.
Volume 34, Issue 5, Pages (May 2002)
A Computational Model of the Human Left-Ventricular Epicardial Myocyte
Is variant pathogenicity in the eye of the beholder
A Genetically Encoded Optical Probe of Membrane Voltage
Koen Vervaeke, Hua Hu, Lyle J. Graham, Johan F. Storm  Neuron 
Samuel J. Goodchild, Logan C. Macdonald, David Fedida 
Excitability of the Soma in Central Nervous System Neurons
Effects of Temperature on Heteromeric Kv11.1a/1b and Kv11.3 Channels
Encoding of Oscillations by Axonal Bursts in Inferior Olive Neurons
Don E. Burgess, Oscar Crawford, Brian P. Delisle, Jonathan Satin 
Kv2. 1-like currents are related linearly to estimates of Kv2
Volume 49, Issue 3, Pages (February 2006)
Volume 111, Issue 11, Pages (December 2016)
Volume 78, Issue 3, Pages (March 2000)
R.P. Schuhmeier, B. Dietze, D. Ursu, F. Lehmann-Horn, W. Melzer 
Scn11a gene inactivation shortens AP duration and impairs firing discharge. Scn11a gene inactivation shortens AP duration and impairs firing discharge.
Calibration of the voltage dependence of spine ΔF/F using optical recordings in spines of bAPs. Calibration of the voltage dependence of spine ΔF/F using.
Depolarization-evoked firing activity of hippocampal bipolar neurons that have been dissociated from F344/NSlc and Hiss rats. Depolarization-evoked firing.
Christian Hansel, David J. Linden  Neuron 
Presentation transcript:

A simple modification of the Hodgkin and Huxley equations explains type 3 excitability in squid giant axons by John R Clay, David Paydarfar, and Daniel B Forger Interface Volume 5(29): December 6, 2008 ©2008 by The Royal Society

Response of a squid giant axon, type 3, to a sustained current pulse 15 μA cm−2 in amplitude. John R Clay et al. J. R. Soc. Interface 2008;5: ©2008 by The Royal Society

Three different IK recordings from a squid giant axon preparation (Clay & Shlesinger 1983) taken from a family of recordings in which the holding potential was −75 mV, and the step potential (Vstep) ranged from −55 to +35 mV in 10 mV increments with a 3 s r... John R Clay et al. J. R. Soc. Interface 2008;5: ©2008 by The Royal Society

Nonlinear dependence of IK on (V−EK). John R Clay et al. J. R. Soc. Interface 2008;5: ©2008 by The Royal Society

Voltage dependence of gK activation. John R Clay et al. J. R. Soc. Interface 2008;5: ©2008 by The Royal Society

Description of IK kinetics. John R Clay et al. J. R. Soc. Interface 2008;5: ©2008 by The Royal Society

Responses of (a) the HH (1952d) model and (b) the revised model to an 80 ms duration current pulse of amplitude 10 μA cm−2 in each case. John R Clay et al. J. R. Soc. Interface 2008;5: ©2008 by The Royal Society

(a) The initial 25 ms of the simulations in figure 6 are superimposed. John R Clay et al. J. R. Soc. Interface 2008;5: ©2008 by The Royal Society

(a) Superimposed subthreshold voltage changes following the first spike in both models, as in figure 7b with both traces continued for an additional 3 ms. John R Clay et al. J. R. Soc. Interface 2008;5: ©2008 by The Royal Society