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Introduction to neuronal networks 2: Dynamics Molekylær biomedicin Cellular Neuroscience module 04/05/2009 Notes are available on Absalon Rune W. Berg 12.5.5 Tel. 35 32 75 60 [email protected] www.berg-lab.net Main paper: Vogels et al 2005

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Page 1: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

Introduction to neuronal networks 2:

Dynamics

Molekylær biomedicin

Cellular Neuroscience module04/05/2009

Notes are available on Absalon

Rune W. Berg12.5.5Tel. 35 32 75 [email protected]

Main paper: Vogels et al 2005

Page 2: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

Just talked about

Afferent - convergent - divergent connections

Feedback - feedforward connections. Thalamo-cortical loop

Principal and interneurons

3 basic types of networks - Small world most beneficial

Page 3: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

overview

Network models: Internally generated activity

Practical measures: Rastogram, extracellular measures

Coding models: Temporal and rate codes

Coin experiment

4 Patterns of spike activity

Signal propagation, avalanche and synfire model

Page 4: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

Brain is never quiet…

Vogels, Rajan & Abbott 2005

Sensory induced activity (observing)

Internally generated activity (thinking, sleeping)

Page 5: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

Internally generated activity

Vogels, Rajan & Abbott 2005

3 forms of network activity:

Persistent

Oscillatory

Asynchronous and irregular

Page 6: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

exploring the neural code?

Page 7: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

Measures of activity:rastogram

Berg et al 2007

Page 8: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

Measures of activity:Extracellular fields

Buzsaki 2004

The electric field from groups of neurons is an indication of the state of the network

ECoG, EEG, LFP, CSD,Tetrodes for spike sorting

ElectroCorticoGramElectroEncephaloGraphyLocal Field PotentialCurrent Source DensityTetrode= 4 (tetra) eletrodes

Page 9: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

Example:Hippocampus

Hammond 2008

Page 10: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

Coding strategies

Shadlen & Newsome 1998, Buzsaki et al 2004

Frequency or rate code

= sum of events in time window

Temporal code

Page 11: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

Coding strategies

Shadlen & Newsome 1998, Buzsaki et al 2004

Frequency or rate code

= sum of events in time window

Temporal code

Page 12: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

Coding strategies

Shadlen & Newsome 1998, Buzsaki et al 2004

Frequency or rate code

= sum of events in time window

Temporal code

Page 13: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

Coding strategies

Shadlen & Newsome 1998, Buzsaki et al 2004

Frequency or rate code

= sum of events in time window

Temporal code

Page 14: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

Coding strategies

Shadlen & Newsome 1998, Buzsaki et al 2004

Frequency or rate code

= sum of events in time window

Temporal code

Page 15: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

Rate code: Muscles

Page 16: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

Temporal code: visual cortex

Singer 1999

“Binding theory” : 40-Hz synchrony

Page 17: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

Example:Hippocampus

Hammond 2008

Page 18: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

Example:Hippocampus

Hammond 2008

Page 19: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

4 patterns of spike activity

Vogels, Rajan & Abbott 2005

Regular spiking

Irregular spiking

Synchronous with other neurons

Asynchronous with other neurons

Page 20: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

Asynchronous regular,Synchronous regular

Vogels, Rajan & Abbott 2005

Page 21: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

Irregular - asynchronous

Vogels, Rajan & Abbott 2005

Irregularity from balanced Inhibitory and excitatory Input.

Page 22: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

Coin Experiment

Camazine 2003

1) single group response

2) group noise during synchrony and non-synchrony

3) group response during synchrony

Page 23: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

Synchrony

Camazine et al 2003

Group responsein-synchrony

Single group response

Page 24: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

Asynchronous regular,Synchronous regular

Vogels, Rajan & Abbott 2005

Page 25: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

Propagation

How do signals propagate in a network?

Page 26: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

Avalanche model

Vogel et al 2005, Pletz & Thiagarajan 2007

An avalanche of neural activity is a brief and temporary propagation of activity which amplitude has a power log probability with negative slope

pn > 1 explosionpn < 1 failure

P(s) proportional s ^-a

Page 27: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

Like Small-world networks

Buzsaki et al. 2004

P(s) proportional s ^-a

Page 28: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

Synfire chains

Vogel et al 2005

Groups of neurons coupled in a feedforward manner.

Page 29: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

Synfire chains

Vogel et al 2005

Page 30: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

Summary

Network models: Internally generated activity

Practical measures: Rastogram, extracellular measures

Coding models: Temporal and rate codes

Coin experiment

4 Patterns of spike activity

Signal propagation, avalanche and synfire model

Page 31: Introduction to neuronal networks 2 - Rune W.  · PDF fileIntroduction to neuronal networks 2: Dynamics ... Network models: ... An avalanche of neural activity is a

Further reading:Berg RW, Alaburda A, Hounsgaard J (2007) "Balanced inhibition and excitation drive spike activity in spinal half-centers" Science vol. 315 (5810) pp. 390-393

Buzsaki G (2004) "Large-scale recording of neuronal ensembles" Nature Neuroscience vol. 7, 446-451

Buzsaki G, Geisler C, Henze DA, Wang X-J (2004) "Interneuron diversity series: Circuit complexity and axon wiring economy of cortical interneurons" Trends in Neurosciences vol. 27(4) 186-193

Camazine S et al (2003) "Self-organization in biological systems" Princeton University Press, paperback.

Dyhrfjeld-Johnsen J, Santhakumar V, Morgan RJ, Huerta R, Tsimring L, Solstesz I (2007) "Topological determinants of epileptogenesis in large-scale structural and functional models of the dentate gyrus derived from experimental data" J. Neurophysiol. 97: 1566-1587

Hammond C (2008) "Cellular and molecular neurophysiology” Academic press, 3rd edition.

Shadlen, M. N., W. T. Newsome (1998), "The variable discharge of cortical neurons: Implications for connectivity, computation, and information coding", J. Neuroscience, 18(10): 3870-3896, 1998

Singer W (1999) "Neural synchrony: A versatile code for the definition of relations?" Neuron vol. 24, 49-65

Steriade M, McCormick DA, Sejnowski TJ (1993) "Thalamocortical oscillations in the sleeping and aroused brain" Science vol. 262, 679-685.

Strogatz SH (2001) "Exploring complex networks" Nature 410, 268-276

Vogels TP, Rajan K, Abbott LF "Neural network dynamics" Annual review of neuroscience, vol 28: 327-355 (2005)Watts DJ, Strogatz SH (1998) "Collective dynamics of 'small-world' networks" Nature 393(6684) 409-10.