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The abrupt transition from theta The abrupt transition from theta to hyper-excitable spiking to hyper-excitable spiking activity in stellate cells from activity in stellate cells from layer II of the medial entorhinal layer II of the medial entorhinal cortex cortex Horacio G. Rotstein Horacio G. Rotstein Department of Mathematical Sciences Department of Mathematical Sciences New Jersey Institute of Technology New Jersey Institute of Technology Network Synchronization: From dynamical systems to Network Synchronization: From dynamical systems to neuroscience neuroscience Leiden (NL) - May 27, 2008 Leiden (NL) - May 27, 2008

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Page 1: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

The abrupt transition from theta to The abrupt transition from theta to hyper-excitable spiking activity in hyper-excitable spiking activity in

stellate cells from layer II of the medial stellate cells from layer II of the medial entorhinal cortexentorhinal cortex

Horacio G. RotsteinHoracio G. RotsteinDepartment of Mathematical SciencesDepartment of Mathematical Sciences

New Jersey Institute of TechnologyNew Jersey Institute of TechnologyNetwork Synchronization: From dynamical systems to neuroscience Network Synchronization: From dynamical systems to neuroscience

Leiden (NL) - May 27, 2008Leiden (NL) - May 27, 2008

Page 2: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Collaborators

Tilman Kispersky Program in Neuroscience - Boston University

Nancy Kopell Math & Center for BioDynamics – Boston University

Martin Wechselberger Math – University of Sidney

John White Biomedical Engineering – University of Utah

Page 3: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Entorhinal Cortex & Hippocampus

Photomicrograph of a section through the rat hippocampal region (Gluck & Myers). Adapted from Amaral & Witter (1989).

Photomicrograph of a section through the rat hippocampal region (Gluck & Myers). Adapted from Amaral & Witter (1989)

Page 4: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Stellate cells (SCs)

Entorhinal cortex (EC) is the interface between the neocortex and the hippocampus.

Information flows from the neocortex to the hippocampus through the superficial layers (II and III) of the EC. SCs are the most abundant cell type in layer II of the EC.

SCs are putative grid cells.

Page 5: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Subthreshold oscillations (STOs)

SCs develop rhythmic STOs at theta frequencies (8 – 12 Hz).

Spikes occur at the peaks of STOs but not at every cycle.

Interaction between two currents: h- and persistent sodium.

Single cell phenomenon

Depolarization increases from 1 to 3 (Adapted from Dickson et al., J. Neurophysiol., 2000)

Page 6: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

SCs: Theta regime (background)

SCs have intrinsic biophysical properties that endow them with the ability to display rhythmic activity in the theta frequency regime (8 – 12 Hz)

Subthreshold oscillations (STOs): interaction between a persistent sodium and a hyperpolarization-activated (h-) current.

Spikes

Mixed-mode oscillations (MMOs): STOs interspersed with spikes

R., Oppermann, White, Kopell (JCNS – 2005) R., Wechselberger, Kopell (Submitted) Focus issue on MMOs (Chaos 2008)

Page 7: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

SCs – Hyperexcitable regime (this project)

SCs have intrinsic biophysical properties that endow them with the ability to display spiking activity in the “gamma” frequency regime (~60 Hz).

This time scale can be uncovered by phasic excitation.

The frequency regime depends on a combination of intrinsic and network properties.

Kispersky, White & R. , Work in Progress.

Page 8: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

SC dynamic structure

Nonlinearities and multiple time-scales in the subthreshold regime:

How are they created?

How do they depend on the intrinsic SC biophysical properties?

How do they interact with synaptic (excitatory and inhibitory) inputs?

Page 9: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

SC biophysical model

Page 10: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

SC biophysical model

Page 11: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

SC biophysical model

Page 12: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Subthreshold oscillations (STOs) and spikes in the SC model

Page 13: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

STOs generated by persistent sodium channel noise in the SC model

Page 14: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Subthreshold Regime: Reduction of Dimensions

Multiscale analysis: Identification of the active and inactive currents Identification of the appropriate time scales

Page 15: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Subthreshold Regime: Reduction of Dimensions

Multiscale analysis: Identification of the active and inactive currents Identification of the appropriate time scales

Page 16: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Subthreshold regime: reduced SC model

SC biophysical model Subthreshold regime

Page 17: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Subthreshold regime: reduced SC model

Page 18: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Subthreshold regime: reduced SC model

Page 19: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Subthreshold regime: reduced SC model

SC biophysical model Subthreshold regime

Page 20: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Subthreshold regime: reduced SC model

Page 21: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Nonlinear Artificially Spiking (NAS) SC model

Page 22: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Nonlinear Artificially Spiking (NAS) SC model

Page 23: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Nonlinear Artificially Spiking (NAS) SC model

Page 24: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Inhibitory inputs can advance the next spike by “killing” an STO.

Page 25: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Transition from theta to hyper-excitable (gamma) rhythmic activity

Experimental (in vitro) results:

There exist recurrent connections among SCs.

These connections are “similar” in normal (control) and epileptic cells.

Recurrent inhibitory circuits are reduced in epileptic cells as compared to normal (control) ones.

Recurrent circuits in layer II of MEC in a model of temporal lobe epilepsy. Kumar, Buckmaster, Huguenard, J. Neurosci. (2007)

Page 26: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Minimal S-I network model

Page 27: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Minimal S-I network model

A minimal S-S network reproduces the experimentally found transition form normal activity to hyper-excitability in SCs due to lack of inhibition

Page 28: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Minimal S-I network model

A minimal SIS network reproduces the experimentally found transition form normal activity to hyper-excitability in SCs due to lack of inhibition

Page 29: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Minimal SC network model (no inhibition)

A small increase in the SC recurrent synaptic conductance causes an explosion of the SC firing frequency

Page 30: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Minimal SC network model (no inhibition)

A small increase in the SC recurrent synaptic conductance causes an explosion of the SC firing frequency

Page 31: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Minimal S-I network model

A small increase in the inhibitory input to the SCs brings their frequency back to the theta regime

Page 32: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Single SC + autapse (no inhibition)

The abrupt changes in the SC firing frequency are the result of phasic (synaptic) and not tonic excitation

Single SC model representing a population of synchronized (in phase) SCs.

Page 33: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Single SC + autapse (no inhibition)

Effects of changes in the maximal conductances

Page 34: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Single SC + autapse (no inhibition)

Effects of changes in the maximal conductances

Page 35: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Single SC (no autapse - no inhibition)

Page 36: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Single SC (no autapse - no inhibition)

The abrupt changes in the SC firing frequency are the result of phasic (synaptic) and not tonic excitation

Page 37: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Single SC (no autapse - no inhibition)

The abrupt changes in the SC firing frequency are the result of phasic (synaptic) and not tonic excitation

Page 38: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Single SC (no autapse - no inhibition)

The abrupt changes in the SC firing frequency are the result of phasic (synaptic) and not tonic excitation

Page 39: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Single SC (no autapse - no inhibition)

The abrupt changes in the SC firing frequency are the result of phasic (synaptic) and not tonic excitation

Page 40: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Single SC (no autapse - no inhibition)

The abrupt changes in the SC firing frequency are the result of phasic (synaptic) and not tonic excitation

Page 41: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Single SC (no autapse - no inhibition)

The abrupt changes in the SC firing frequency are the result of phasic (synaptic) and not tonic excitation

Page 42: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Single SC (no autapse - no inhibition)

The abrupt changes in the SC firing frequency are the result of phasic (synaptic) and not tonic excitation

Page 43: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Single SC (no autapse - no inhibition)

The abrupt changes in the SC firing frequency are the result of phasic (synaptic) and not tonic excitation

Page 44: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Single SC + autapse (no inhibition)

The abrupt changes in the SC firing frequency are the result of phasic (synaptic) and not tonic excitation

Page 45: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Single SC + autapse (no inhibition)

The abrupt changes in the SC firing frequency are the result of phasic (synaptic) and not tonic excitation

Page 46: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Single SC + autapse (no inhibition)

The abrupt changes in the SC firing frequency are the result of phasic (synaptic) and not tonic excitation

Page 47: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Single SC + autapse (no inhibition)

The abrupt changes in the SC firing frequency are the result of phasic (synaptic) and not tonic excitation

Page 48: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Single SC + autapse (no inhibition)

The abrupt changes in the SC firing frequency are the result of phasic (synaptic) and not tonic excitation

Page 49: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Single SC + autapse (no inhibition)

The abrupt changes in the SC firing frequency are the result of phasic (synaptic) and not tonic excitation

Page 50: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Single SC + autapse (no inhibition)

Tilman Kispersky & John White

Dynamic clamp experiments

Page 51: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Dynamic clamp experiments

Voltage record of a stellate cell coupled to itself.

Inset: close up view of a single burst

Under control conditions

Page 52: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Dynamic clamp experiments

Voltage record of a stellate cell coupled to itself.

Inset: close up view of a single burst

Under linopiridine application (M-channel blocker)

Page 53: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Dynamic clamp experiments

Freq. vs. current under control conditions

Page 54: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Dynamic clamp experiments

Page 55: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Minimal S-I network model

Page 56: The abrupt transition from theta to hyper- excitable spiking activity in stellate cells from layer II of the medial entorhinal cortex Horacio G. Rotstein

Summary

SCs have intrinsic biophysical properties that endow them with the ability to display rhythmic activity in the theta and “gamma” frequency regimes (nonlinearities and time scale separation)

In “normal” conditions SCs display theta rhythmic activity (STOs and MMOs.

Abrupt transitions resulting from recurrent excitation.

Theoretical predictions confirmed by dynamic clamp experiments (Tilman Kispersky)