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Local and Global Gating of
        Synaptic Plasticity
         Manuel A. Sanchez-Montañes



                  Hannes Schulz

University of Osnabrück, Department of Cognitive Science



  Action and Cognition II / May 2nd 2005
Learning on Global vs. Local Scale




       Mechanisms for learning in neuronal nets:


Local                         Global
Hebb’s Rule & modifications    Signals to the whole network

   Forms representations on       Modifies local learning
   cortex
Learning Goals


Local Learning:               Global Learning:
    Representation of all         Influence size of
    stimuli                       representation
    Possibility to add new        (→ experimental
    stimuli later on              evidence on basal
                                  forebrain)
    Independence from
    presentation frequency


                  ◮ How to connect both?
The Neuronal Model   Experimental Results   Discussion

Outline


    1    The Neuronal Model
             The Cell
             The Network
             The Inputs


    2    Experimental Results


    3    Discussion




                                      Hannes Schulz      Local and Global Gating of Synaptic Plasticity
The Neuronal Model   Experimental Results   Discussion   The Cell   The Network   The Inputs

Outline


    1    The Neuronal Model
             The Cell
             The Network
             The Inputs


    2    Experimental Results


    3    Discussion




                                      Hannes Schulz      Local and Global Gating of Synaptic Plasticity
The Neuronal Model   Experimental Results   Discussion   The Cell   The Network   The Inputs

The Cell Model




               integrate-and-fire
                                                         delayed transmission
                refractory period




                                      Hannes Schulz      Local and Global Gating of Synaptic Plasticity
The Neuronal Model   Experimental Results   Discussion   The Cell   The Network   The Inputs

Network Topology

    Input Cells             Excitatory Cells




                                      Hannes Schulz      Local and Global Gating of Synaptic Plasticity
The Neuronal Model   Experimental Results   Discussion   The Cell   The Network   The Inputs

Network Topology

    Input Cells             Excitatory Cells Inhibitory Cells




                                      Hannes Schulz      Local and Global Gating of Synaptic Plasticity
The Neuronal Model   Experimental Results   Discussion   The Cell   The Network   The Inputs

Network Topology

    Input Cells             Excitatory Cells Inhibitory Cells




                                      Hannes Schulz      Local and Global Gating of Synaptic Plasticity
The Neuronal Model   Experimental Results   Discussion   The Cell   The Network   The Inputs

Network Topology

    Input Cells             Excitatory Cells Inhibitory Cells


                                                                                      Nucleus Basalis




                                      Hannes Schulz      Local and Global Gating of Synaptic Plasticity
The Neuronal Model   Experimental Results   Discussion   The Cell   The Network   The Inputs

Network Topology

    Input Cells             Excitatory Cells Inhibitory Cells


                                                                                      Nucleus Basalis




          Layers 1&2, 3&2 fully connected
          Random weight initialization



                                      Hannes Schulz      Local and Global Gating of Synaptic Plasticity
The Neuronal Model   Experimental Results   Discussion   The Cell   The Network   The Inputs

Network Topology

    Input Cells             Excitatory Cells Inhibitory Cells


                                                                                      Nucleus Basalis




          Layers 1&2, 3&2 fully connected
          Random weight initialization



                                      Hannes Schulz      Local and Global Gating of Synaptic Plasticity
The Neuronal Model   Experimental Results   Discussion   The Cell   The Network   The Inputs

Retrograde Signal Inhibition
              Retrograde Signal


                                Inhibitory Signal
 Dendrit
                                                                       ◮ Retrograde signal
                                                                         of firing cell
                      Firing                                             blocked by
                                                                         inhibitory inputs
                        Cell




                                      Hannes Schulz      Local and Global Gating of Synaptic Plasticity
The Neuronal Model   Experimental Results   Discussion   The Cell   The Network   The Inputs

 Heterosynaptic Long Term Depression


Presynaptic Cell                  Postsynaptic Cell




            “Normal” Condition




                                       Hannes Schulz      Local and Global Gating of Synaptic Plasticity
The Neuronal Model   Experimental Results   Discussion   The Cell   The Network   The Inputs

 Heterosynaptic Long Term Depression


Presynaptic Cell                  Postsynaptic Cell
                                                                     Heterosynaptic LTD:
                                                                            postsynaptic cell
                                                                            active
                                                                            presynaptic cell
            “Normal” Condition                                              inactive in time
                                                                            window
                                                                        ◮ Synaptic efficacy
                                                                          decrease


                           LTD


                                       Hannes Schulz      Local and Global Gating of Synaptic Plasticity
The Neuronal Model   Experimental Results   Discussion   The Cell   The Network   The Inputs

Relative Timing in Hebb Learning



    Sample interpretations of “Synchronous activity”:

                                                                Symmetric coincidence
                                                                window.




                                      Hannes Schulz      Local and Global Gating of Synaptic Plasticity
The Neuronal Model   Experimental Results   Discussion   The Cell   The Network   The Inputs

Relative Timing in Hebb Learning



    Sample interpretations of “Synchronous activity”:

                                                                Symmetric coincidence
                                                                window.
                                                                Asymmetric
                                                                coincidence window.
                                                                Used in this study.




                                      Hannes Schulz      Local and Global Gating of Synaptic Plasticity
The Neuronal Model   Experimental Results   Discussion   The Cell   The Network   The Inputs

Input



 Trial I
       Ten different stimuli
       pseudorandom order
       500 examples shown to
       network




                                      Hannes Schulz      Local and Global Gating of Synaptic Plasticity
The Neuronal Model   Experimental Results   Discussion   The Cell   The Network   The Inputs

Input



 Trial I                                                 Trial II
       Ten different stimuli                                   9+1 different stimuli
       pseudorandom order                                       pseudorandom order
       500 examples shown to                                    500 examples shown to
       network                                                  network
                                                                One stimulus paired with
                                                                stimulus in basal-neuron




                                      Hannes Schulz      Local and Global Gating of Synaptic Plasticity
The Neuronal Model   Experimental Results   Discussion   The Cell   The Network   The Inputs

Input



 Trial I                                                 Trial II
       Ten different stimuli                                   9+1 different stimuli
       pseudorandom order                                       pseudorandom order
       500 examples shown to                                    500 examples shown to
       network                                                  network
                                                                One stimulus paired with
                                                                stimulus in basal-neuron

          Both run 40 times with random start parameters




                                      Hannes Schulz      Local and Global Gating of Synaptic Plasticity
The Neuronal Model   Experimental Results   Discussion

Outline


    1    The Neuronal Model
             The Cell
             The Network
             The Inputs


    2    Experimental Results


    3    Discussion




                                      Hannes Schulz      Local and Global Gating of Synaptic Plasticity
The Neuronal Model   Experimental Results   Discussion

Formed Representations – Trial I




 Neuron Specificity
                                                                Stimuli shown more often
   44.8%       unspecific
                                                                to network not better
   50.5%       specific to 1 stimulus
                                                                represented
    4.7%       intermediate




                                      Hannes Schulz      Local and Global Gating of Synaptic Plasticity
The Neuronal Model   Experimental Results   Discussion

Formed Representations – Trial II



                                                                           Number of neurons
                                                                           representing
                                                                           paired stimulus
                                                                           increases

                                                                           Number of neurons
                                                                           representing other
                                                                           stimuli stay the
                                                                           same




                                      Hannes Schulz      Local and Global Gating of Synaptic Plasticity
The Neuronal Model   Experimental Results   Discussion

Role of the Global Mechanism



                           1   Basal ganglion neuron fires
                           2   Inhibitory neurons have a
                               prolonged refractory period
                           3   Inhibitory neurons do not fire
                           4   Excitatory neurons can fire
                               and shorten refractory period
                               again

                                                Network Topology




                                      Hannes Schulz      Local and Global Gating of Synaptic Plasticity
The Neuronal Model   Experimental Results   Discussion

Role of the Global Mechanism




                     ◮ Unchanged mean activity of
                       inhibitory neurons
                     ◮ Delay of inhibitory activity relative to
                       excitatory activity
                     ◮ Retrograde APs invade dendritic
                       tree

                                                Network Topology




                                      Hannes Schulz      Local and Global Gating of Synaptic Plasticity
The Neuronal Model   Experimental Results   Discussion

The Same, in Graphs




       Delay of inhibitory                                      Number of neurons
       activity relative to                                     representing paired
       excitatory activity                                      stimulus increases
                                                                Number of neurons
                                                                representing other stimuli
                                                                stay the same


                                      Hannes Schulz      Local and Global Gating of Synaptic Plasticity
The Neuronal Model   Experimental Results   Discussion

Outline


    1    The Neuronal Model
             The Cell
             The Network
             The Inputs


    2    Experimental Results


    3    Discussion




                                      Hannes Schulz      Local and Global Gating of Synaptic Plasticity
The Neuronal Model   Experimental Results   Discussion

Comparison of Results to Goals




          New stimuli can be trained w/o loss
                 Optimally activated neurons inhibit others
                 Unspecific neurons are result

          Frequency invariance, variable representation size
                 Invariance due to mechanism described above
                 Stimulus representation enhanced by global
                 mechanism




                                      Hannes Schulz      Local and Global Gating of Synaptic Plasticity
The Neuronal Model   Experimental Results   Discussion

Predictions for Experimentors




    During basal forbrain stimulation:

          Delayed inhibitory activity
          Invasion of dendritic tree by more retrograde APs




                                      Hannes Schulz      Local and Global Gating of Synaptic Plasticity
The End

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Local and Global Gating of Synaptic Plasticity

  • 1. Local and Global Gating of Synaptic Plasticity Manuel A. Sanchez-Montañes Hannes Schulz University of Osnabrück, Department of Cognitive Science Action and Cognition II / May 2nd 2005
  • 2. Learning on Global vs. Local Scale Mechanisms for learning in neuronal nets: Local Global Hebb’s Rule & modifications Signals to the whole network Forms representations on Modifies local learning cortex
  • 3. Learning Goals Local Learning: Global Learning: Representation of all Influence size of stimuli representation Possibility to add new (→ experimental stimuli later on evidence on basal forebrain) Independence from presentation frequency ◮ How to connect both?
  • 4. The Neuronal Model Experimental Results Discussion Outline 1 The Neuronal Model The Cell The Network The Inputs 2 Experimental Results 3 Discussion Hannes Schulz Local and Global Gating of Synaptic Plasticity
  • 5. The Neuronal Model Experimental Results Discussion The Cell The Network The Inputs Outline 1 The Neuronal Model The Cell The Network The Inputs 2 Experimental Results 3 Discussion Hannes Schulz Local and Global Gating of Synaptic Plasticity
  • 6. The Neuronal Model Experimental Results Discussion The Cell The Network The Inputs The Cell Model integrate-and-fire delayed transmission refractory period Hannes Schulz Local and Global Gating of Synaptic Plasticity
  • 7. The Neuronal Model Experimental Results Discussion The Cell The Network The Inputs Network Topology Input Cells Excitatory Cells Hannes Schulz Local and Global Gating of Synaptic Plasticity
  • 8. The Neuronal Model Experimental Results Discussion The Cell The Network The Inputs Network Topology Input Cells Excitatory Cells Inhibitory Cells Hannes Schulz Local and Global Gating of Synaptic Plasticity
  • 9. The Neuronal Model Experimental Results Discussion The Cell The Network The Inputs Network Topology Input Cells Excitatory Cells Inhibitory Cells Hannes Schulz Local and Global Gating of Synaptic Plasticity
  • 10. The Neuronal Model Experimental Results Discussion The Cell The Network The Inputs Network Topology Input Cells Excitatory Cells Inhibitory Cells Nucleus Basalis Hannes Schulz Local and Global Gating of Synaptic Plasticity
  • 11. The Neuronal Model Experimental Results Discussion The Cell The Network The Inputs Network Topology Input Cells Excitatory Cells Inhibitory Cells Nucleus Basalis Layers 1&2, 3&2 fully connected Random weight initialization Hannes Schulz Local and Global Gating of Synaptic Plasticity
  • 12. The Neuronal Model Experimental Results Discussion The Cell The Network The Inputs Network Topology Input Cells Excitatory Cells Inhibitory Cells Nucleus Basalis Layers 1&2, 3&2 fully connected Random weight initialization Hannes Schulz Local and Global Gating of Synaptic Plasticity
  • 13. The Neuronal Model Experimental Results Discussion The Cell The Network The Inputs Retrograde Signal Inhibition Retrograde Signal Inhibitory Signal Dendrit ◮ Retrograde signal of firing cell Firing blocked by inhibitory inputs Cell Hannes Schulz Local and Global Gating of Synaptic Plasticity
  • 14. The Neuronal Model Experimental Results Discussion The Cell The Network The Inputs Heterosynaptic Long Term Depression Presynaptic Cell Postsynaptic Cell “Normal” Condition Hannes Schulz Local and Global Gating of Synaptic Plasticity
  • 15. The Neuronal Model Experimental Results Discussion The Cell The Network The Inputs Heterosynaptic Long Term Depression Presynaptic Cell Postsynaptic Cell Heterosynaptic LTD: postsynaptic cell active presynaptic cell “Normal” Condition inactive in time window ◮ Synaptic efficacy decrease LTD Hannes Schulz Local and Global Gating of Synaptic Plasticity
  • 16. The Neuronal Model Experimental Results Discussion The Cell The Network The Inputs Relative Timing in Hebb Learning Sample interpretations of “Synchronous activity”: Symmetric coincidence window. Hannes Schulz Local and Global Gating of Synaptic Plasticity
  • 17. The Neuronal Model Experimental Results Discussion The Cell The Network The Inputs Relative Timing in Hebb Learning Sample interpretations of “Synchronous activity”: Symmetric coincidence window. Asymmetric coincidence window. Used in this study. Hannes Schulz Local and Global Gating of Synaptic Plasticity
  • 18. The Neuronal Model Experimental Results Discussion The Cell The Network The Inputs Input Trial I Ten different stimuli pseudorandom order 500 examples shown to network Hannes Schulz Local and Global Gating of Synaptic Plasticity
  • 19. The Neuronal Model Experimental Results Discussion The Cell The Network The Inputs Input Trial I Trial II Ten different stimuli 9+1 different stimuli pseudorandom order pseudorandom order 500 examples shown to 500 examples shown to network network One stimulus paired with stimulus in basal-neuron Hannes Schulz Local and Global Gating of Synaptic Plasticity
  • 20. The Neuronal Model Experimental Results Discussion The Cell The Network The Inputs Input Trial I Trial II Ten different stimuli 9+1 different stimuli pseudorandom order pseudorandom order 500 examples shown to 500 examples shown to network network One stimulus paired with stimulus in basal-neuron Both run 40 times with random start parameters Hannes Schulz Local and Global Gating of Synaptic Plasticity
  • 21. The Neuronal Model Experimental Results Discussion Outline 1 The Neuronal Model The Cell The Network The Inputs 2 Experimental Results 3 Discussion Hannes Schulz Local and Global Gating of Synaptic Plasticity
  • 22. The Neuronal Model Experimental Results Discussion Formed Representations – Trial I Neuron Specificity Stimuli shown more often 44.8% unspecific to network not better 50.5% specific to 1 stimulus represented 4.7% intermediate Hannes Schulz Local and Global Gating of Synaptic Plasticity
  • 23. The Neuronal Model Experimental Results Discussion Formed Representations – Trial II Number of neurons representing paired stimulus increases Number of neurons representing other stimuli stay the same Hannes Schulz Local and Global Gating of Synaptic Plasticity
  • 24. The Neuronal Model Experimental Results Discussion Role of the Global Mechanism 1 Basal ganglion neuron fires 2 Inhibitory neurons have a prolonged refractory period 3 Inhibitory neurons do not fire 4 Excitatory neurons can fire and shorten refractory period again Network Topology Hannes Schulz Local and Global Gating of Synaptic Plasticity
  • 25. The Neuronal Model Experimental Results Discussion Role of the Global Mechanism ◮ Unchanged mean activity of inhibitory neurons ◮ Delay of inhibitory activity relative to excitatory activity ◮ Retrograde APs invade dendritic tree Network Topology Hannes Schulz Local and Global Gating of Synaptic Plasticity
  • 26. The Neuronal Model Experimental Results Discussion The Same, in Graphs Delay of inhibitory Number of neurons activity relative to representing paired excitatory activity stimulus increases Number of neurons representing other stimuli stay the same Hannes Schulz Local and Global Gating of Synaptic Plasticity
  • 27. The Neuronal Model Experimental Results Discussion Outline 1 The Neuronal Model The Cell The Network The Inputs 2 Experimental Results 3 Discussion Hannes Schulz Local and Global Gating of Synaptic Plasticity
  • 28. The Neuronal Model Experimental Results Discussion Comparison of Results to Goals New stimuli can be trained w/o loss Optimally activated neurons inhibit others Unspecific neurons are result Frequency invariance, variable representation size Invariance due to mechanism described above Stimulus representation enhanced by global mechanism Hannes Schulz Local and Global Gating of Synaptic Plasticity
  • 29. The Neuronal Model Experimental Results Discussion Predictions for Experimentors During basal forbrain stimulation: Delayed inhibitory activity Invasion of dendritic tree by more retrograde APs Hannes Schulz Local and Global Gating of Synaptic Plasticity