The heterogeneity model gLgL VLVL g Ca V Ca C VmVm C = g L (V m -V L )+g Ca (V m -V Ca ) dV dt g Ca = g Ca m 3 h g Ca (mS/cm 2 ) g L (mS/cm 2 ) dh dt h.

Slides:



Advertisements
Similar presentations
Communication between cells. R I1I1 Biology Electrical equivalent I2I2 I = I 1 + I 2 I.
Advertisements

M2-3 Buck Converter Objective is to answer the following questions: 1.How does a buck converter operate?
The dynamic range of bursting in a network of respiratory pacemaker cells Alla Borisyuk Universityof Utah.
Introduction: Neurons and the Problem of Neural Coding Laboratory of Computational Neuroscience, LCN, CH 1015 Lausanne Swiss Federal Institute of Technology.
3mm amplitude test by Cheng-Jiun Ma. Observation Source : Orion SiO Frequency: GHz 256 channels within 64MHz bandwidth Ant 3 & Ant 4 no Tsys correction.
Solids New OWL Homework has been posted This week’s lab- Separation of Metal Ions.
Overview of the Nervous System
Cellular Neuroscience (207) Ian Parker Lecture # 4 - The Hodgkin- Huxley Axon
Convergence and stability in networks with spiking neurons Stan Gielen Dept. of Biophysics Magteld Zeitler Daniele Marinazzo.
State how movement of Na +, K +, Ca 2+ or Cl - across a cell membrane will affect membrane potential. Explain the ionic basis for the resting membrane.
Voltage Clamp. Patch Clamp Applications Evidence that potassium is primarily responsible for the RMP.
Resting membrane potential 1 mV= V membrane separates intra- and extracellular compartments inside negative (-80 to -60 mV) due to the asymmetrical.
COGNITIVE SCIENCE 17 The Electric Brain Part 1 Jaime A. Pineda, Ph.D.
1 Oscillator 1 input output 1 trigger Introduction to Neurobiology Lecture 13: models of oscillations 1.
Phase Difference = Phase Difference = 0.05.
I V I V The inferior olivary nucleus is the only source of cerebellar climbing fibers.
Previously in Chem 104: unit cell, Z, at.wt related to density Ionic Unit Cell types of closest packing, ccp= fcc, hcp Al not so stable! TODAY QUIZ anwer.
Frequency Stability  f 0 /f 0 Usually Specified in ppm over a given environmental range. Temperature Altitude (pressure) Age Broadcast FM requires +/-20.
Three – Phase Power System. Three-Phase Power Definitions 4 wires –3 “active” phases, A, B, C –1 “ground”, or “neutral” Color Code –Phase ARed –Phase.
Synaptic Signaling & The Action Potential
Chapter 48 Neurons, Synapses, and Signaling. Copyright © 2008 Pearson Education, Inc., publishing as Pearson Benjamin Cummings Overview: Lines of Communication.
Cycle 6: Oscillations and Synchrony
Graduate Seminar, NJIT June 14, 2012 Analytical & Computational Neuroscience: Lecture 2 Action Potentials and Chemical Synapses Math 430 * Math 635 * Fall.
Automatic Control Theory School of Automation NWPU Teaching Group of Automatic Control Theory.
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Benjamin Cummings Ch 48 – Neurons, Synapses, and Signaling Neurons transfer information.
Review – Objectives Transitioning 4-5 Spikes can be detected from many neurons near the electrode tip. What are some ways to determine which spikes belong.
Alternating and Synchronous Rhythms in Reciprocally Inhibitory Model Neurons Xiao-Jing Wang, John Rinzel Neural computation (1992). 4: Ubong Ime.
The Action Potential. Four Signals Within the Neuron  Input signal – occurs at sensor or at points where dendrites are touched by other neurons.  Integration.
AP Biology Nervous Systems Part 3. Synapse and Neurotransmitter.
Catalyst You are at a Wild game and Nordy launches a t- shirt at your head. You blink just as the shirt/projectile gets close but catch it anyways!
SymbolMeaning Frequency of the Input Signal Frequency of the Lock-in Reference Frequency of the Additional Sinusoidal Input Signal (or Coherent Noise)
1 Introduction to Neurobiology Lecture 10: The inferior olive
Today Kinematics: Description of Motion Position and displacement
Computer Architecture & Operations I
Acceleration.
Animal Cell Chromatin.
Neurons, Signals, Synapses
Neurons, Synapses and Signaling
Synaptic Signaling & The Action Potential
Synaptic integration in single neurons
Animal Cell Chromatin.
Action Potential 6.5.
Jaeseung Jeong, Ph.D Department of Bio and Brain Engineering, KAIST
The Neuron.
Margaret Lin Veruki, Espen Hartveit  Neuron 
6.5 Nerves, Hormones, and Homeostasis
Neuron Physiology.
AP Biology Nervous Systems Part 3.
Anthony J Ricci, Andrew C Crawford, Robert Fettiplace  Neuron 
Electrochemical Gradient Causing an Action Potential
The cone snail is a deadly predator. Why?
Volume 25, Issue 3, Pages (March 2000)
Michiel W.H. Remme, Máté Lengyel, Boris S. Gutkin  Neuron 
Introduction to physics
K+ Channel Regulation of Multicompartmental Signal Integration
Thomas Akam, Dimitri M. Kullmann  Neuron 
Amanda H. Lewis, Alisa F. Cui, Malcolm F. McDonald, Jörg Grandl 
AP Biology Nervous Systems Part 3.
Kevin Wood Bieri, Katelyn N. Bobbitt, Laura Lee Colgin  Neuron 
CBE / MET Feb 12.
Today Kinematics: Description of Motion Position and displacement
Example Combination of Systems Transfer Function:
Synaptic Ribbons:Versatile Signal Transducers
AP Biology Nervous Systems Part 3.
CHAPTER - 6 Introduction to Communication Systems (222 CNET - 3)
Animal Cell Cell Membrane.
Synaptic Transmission and Integration
Remembering the Caribbean
Chaotic Dynamics Mediate Brain State Transitions, Driven by Changes in Extracellular Ion Concentrations  Rune Rasmussen, Mogens H. Jensen, Mathias L.
Volume 16, Issue 4, Pages (July 2016)
Presentation transcript:

The heterogeneity model gLgL VLVL g Ca V Ca C VmVm C = g L (V m -V L )+g Ca (V m -V Ca ) dV dt g Ca = g Ca m 3 h g Ca (mS/cm 2 ) g L (mS/cm 2 ) dh dt h inf (Vm)-h = hh

Reconstructing the phase diagram

The line connecting the two cells crosses the oscillating zone. The combination of the average channel densities falls inside the oscillating or stable zone. g Ca (mS/cm 2 ) g L (mS/cm 2 )

5 mV 100 ms Timing of neuronal output by subthreshold oscillations IV=I+II V=IV-III

The timing of neuronal output is frequency dependent