Prefrontal Cortex: Delay-related activity. Spatial delayed-response task; Funahashi et al, 1989

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Transcription:

Prefrontal Cortex: Delay-related activity Spatial delayed-response task; Funahashi et al, 1989

Remember the SRN? (chap 6)

Remember the SRN? (chap 6) this is a gating network: context only updated at discrete timepoints

Simple SRN story is not flawless How is hidden copy function implemented biologically? During settling, context must be actively maintained(ongoing hidden activity has no effect on context). Assumes all context is relevant: What if distracting information presented in middleof sequence? Wanttoonly hold on torelevant context. What ifwantto holdon tomore than one piece of information inwm atatime?? Or toselectively updateone partof WM whilecontinuing to robustly maintain others? And whatif thedecision of whether ornot toupdateinformation depends on currently internal WM state?

Schizophrenia: Impaired PFC/BG Function SZ Patientshave deficitsin the samecognitive tasksasthose seen in patients with PFC damage.

Schizophrenia: Impaired PFC/BG Function SZ Patientshave deficitsin the samecognitive tasksasthose seen in patients with PFC damage. But PFC patients don t have delusions, hallucinations, psychosis. Also some imaging studies show increase in PFC activity in SZ (e.g., Manoach, 2003; Calicott et al, 2003)

Schizophrenia: Impaired PFC/BG Function SZ Patientshave deficitsin the samecognitive tasksasthose seen in patients with PFC damage. But PFC patients don t have delusions, hallucinations, psychosis. Also some imaging studies show increase in PFC activity in SZ (e.g., Manoach, 2003; Calicott et al, 2003) Psychosis thought to stem from increased DA in BG (Weinberger, O Donnell, Grace, etc)

Schizophrenia: Impaired PFC/BG Function SZ Patientshave deficitsin the samecognitive tasksasthose seen in patients with PFC damage. But PFC patients don t have delusions, hallucinations, psychosis. Also some imaging studies show increase in PFC activity in SZ (e.g., Manoach, 2003; Calicott et al, 2003) Psychosis thought to stem from increased DA in BG (Weinberger, O Donnell, Grace, etc) Other disorders with BG/DA dysfunction are associated with frontal-like cognitive deficits (PD, addiction, ADHD, etc); these deficits correlate w/da in BG (Muller et al,2000; Remyet al,2000)

Widely Accepted Role of Prefrontal Cortex (PFC) PFC helps keep us on task, promotes cognitive flexibility via ability to rapidly switch state(e.g., task switching): Robust maintenance of neural activity (working memory)

Widely Accepted Role of Prefrontal Cortex (PFC) PFC helps keep us on task, promotes cognitive flexibility via ability to rapidly switch state(e.g., task switching): Robust maintenance of neural activity (working memory) Flexibility from adaptive gating(via Basal Ganglia, BG) that switches between maintenance and rapid updating

Widely Accepted Role of Prefrontal Cortex (PFC) PFC helps keep us on task, promotes cognitive flexibility via ability to rapidly switch state(e.g., task switching): Robust maintenance of neural activity (working memory) Flexibility from adaptive gating(via Basal Ganglia, BG) that switches between maintenance and rapid updating Extensive interconnectivity, allowing top-down biasing of task-relevant info in other cortical / subcortical areas. In short, PFC is the central executive!

Working Memory Demands: Updating & Maintenance Hochreiter & Schmidhuber, 1997; Braver & Cohen, 1999; Frank et al, 2001 a) Update Working Memory 371 9624 Gating open Sensory Input My phone # is 371 9624 Working memory: robust maintenance of information, but must also have ability to be rapidly updated requires gating. You ve got toknowwhen to hold em, know whento fold em.

Working Memory Demands: Updating & Maintenance Hochreiter & Schmidhuber, 1997; Braver & Cohen, 1999; Frank et al, 2001 a) Update b) Maintain Working Memory 371 9624 371 9624 Gating open closed Sensory Input My phone # is 371 9624 Should I Stay or Should I Go..? Working memory: robust maintenance of information, but must also have ability to be rapidly updated requires gating. You ve got toknowwhen to hold em, know whento fold em.

Working Memory Demands: Updating & Maintenance Hochreiter & Schmidhuber, 1997; Braver & Cohen, 1999; Frank et al, 2001 a) Update b) Maintain Working Memory Gating 371 9624 371 9624 open closed open Sensory Input Should I Stay or Should I Go..? 867 5309 Jenny, I got your #... 867 5309... c) Update: OOPS! 371 9624 My phone # is 371 9624 Working memory: robust maintenance of information, but must also have ability to be rapidly updated requires gating. You ve got toknowwhen to hold em, know whento fold em.

But who controls the controller?

BG damage deficits in motor, learning, motivation, working memory, cognitive control

BG Model Extension to Working Memory and Attention In the motor domain, the BG selectively facilitates one command while suppressing others (Mink, 1996)

BG Model Extension to Working Memory and Attention In the motor domain, the BG selectively facilitates one command while suppressing others (Mink, 1996) In parallel circuits, the BG may reinforce the updating of PFC working memory representations (Alexander et al, 1986; Frank, Loughry & O Reilly, 2001).

BG Model Extension to Working Memory and Attention In the motor domain, the BG selectively facilitates one command while suppressing others (Mink, 1996) In parallel circuits, the BG may reinforce the updating of PFC working memory representations (Alexander et al, 1986; Frank, Loughry & O Reilly, 2001). Dopamine in PFC supports robust maintenance over time (Lewis& O Donnell, 2000; Durstewitz & Seemans, 2002)

BG Model Extension to Working Memory and Attention In the motor domain, the BG selectively facilitates one command while suppressing others (Mink, 1996) In parallel circuits, the BG may reinforce the updating of PFC working memory representations (Alexander et al, 1986; Frank, Loughry & O Reilly, 2001). Dopamine in PFC supports robust maintenance over time (Lewis& O Donnell, 2000; Durstewitz & Seemans, 2002) Phasic DA bursts thought to occur for task-relevant ( positive ) information, reinforcing BG updating signals (O Reilly& Frank, 2006; Frank & O Reilly, 2006).

BG Model Extension to Working Memory and Attention In the motor domain, the BG selectively facilitates one command while suppressing others (Mink, 1996) In parallel circuits, the BG may reinforce the updating of PFC working memory representations (Alexander et al, 1986; Frank, Loughry & O Reilly, 2001). Dopamine in PFC supports robust maintenance over time (Lewis& O Donnell, 2000; Durstewitz & Seemans, 2002) Phasic DA bursts thought to occur for task-relevant ( positive ) information, reinforcing BG updating signals (O Reilly& Frank, 2006; Frank & O Reilly, 2006). Time course of DA activity: maintenance in PFC, updating thru BG.

BG Gating of PFC Working Memory / Attention

BG Disinhibition of PFC = Gating of Working Memory / Attention excitatory inhibitory modulatory prefrontal cortex D1 Go NoGo D2 striatum GPe SNc Direct Indirect thalamus GPi Base state: Thalamus inhibited = Gate is closed PFC robustly maintains prior states.

BG Disinhibition of PFC = Gating of Working Memory / Attention excitatory inhibitory modulatory prefrontal cortex Go NoGo D1 D2 striatum GPe SNc Direct Indirect thalamus GPi Base state: Thalamus inhibited = Gate is closed PFC robustly maintains prior states. Striatum fires: Thalamus disinhibited = Gate opened PFC rapidly updated to maintain new information.

Parallel Stripes = Selective Gating Posterior Cortex excitatory inhibitory {............ PFC thalamus GP (tonic act) Striatum (matrix) } dis inhib PFC/BG loops form independent stripes = selective gating.

BG gates flow: superficial Deep PFC Maintenance via Thalamocortical loops, BG disinhibits Superficial reflects inputs and maintenance Separate Maintenance vs. Output PFC/ BG stripes

Multiple stripes, competition Competition in striatum/gp between Maint vs Output and diff stripes

time Example Task: Specific Working Memory Demands Target (R): 1 = A-X 2 = B-Y L 1 L A R X L B L X L 2 L B R Y Must maintain outer loop (1,2) while updating inner loop (A,X..). inner loops outer loop

time Example Task: Specific Working Memory Demands Target (R): 1 = A-X 2 = B-Y L 1 L A R X L B L X L 2 L B R Y Must maintain outer loop (1,2) while updating inner loop (A,X..). Robust maintenance(over intervening stimuli; outer loop). inner loops outer loop

time Example Task: Specific Working Memory Demands Target (R): 1 = A-X 2 = B-Y L 1 L A R X L B L X L 2 L B R Y Must maintain outer loop (1,2) while updating inner loop (A,X..). Robust maintenance(over intervening stimuli; outer loop). Rapid and selective updating(keep 1,2 while updating A,X..). inner loops outer loop

time Example Task: Specific Working Memory Demands Target (R): 1 = A-X 2 = B-Y L 1 L A R X L B L X L 2 L B R Y Must maintain outer loop (1,2) while updating inner loop (A,X..). Robust maintenance(over intervening stimuli; outer loop). Rapid and selective updating(keep 1,2 while updating A,X..). Many real-world examples: language, planning... inner loops outer loop

a) PFC/BG Model of 1-2-AX (Frank, Loughry & O Reilly, 2001) 1 1 {

FC/BG Model of 1-2-AX (Frank, Loughry & O Reilly, 2001) a) b) 1 1 C C 1 { {

FC/BG Model of 1-2-AX (Frank, Loughry & O Reilly, 2001) a) b) 1 1 C C 1 { { c) A A 1 {

FC/BG Model of 1-2-AX (Frank, Loughry & O Reilly, 2001) a) b) 1 1 C C 1 { { c) d) A A 1 X R A 1 { {

But How do BG Know What to Update/Ignore?

But How do BG Know What to Update/Ignore? Correct: Incorrect:

DA effects onbg Updating OfPFC DA Burst: Increased Go DA Dip: Increased NoGo Posterior Cortex Frontal Cortex Posterior Cortex Frontal Cortex dorsal striatum dorsal striatum excitatory inhibitory modulatory D1 + Go NoGo thalamus VA,VL,MD D2 GPe excitatory inhibitory modulatory D1 + Go NoGo thalamus VA,VL,MD D2 GPe SNc SNr SNc SNr DA bursts/dips modulate Go vs. NoGo firing and learning. Burst =Excitatory D1 on Go Dip = Release ofd2 inhibition on NoGo Same mechanism as in basic motor circuitry! (Frank, 05; Gerfen, 00)

PFC/BG Model, Learns 12-AX and other WM tasks (O Reilly & Frank, 2006) Input X Y Z A B C 1 2 3 Output L R X Y Z A B C 1 2 3 X Y Z A B C 1 2 3 X Y Z A B C 1 2 3 X Y Z A B C 1 2 3 PFC (Context) Hidden (Posterior Cortex) Go NoGo Go NoGo Go NoGo Go NoGo NoGo NoGo NoGo NoGo Go Go Go Go LVe LVi PVe PVi SNrThal DA SNc Striatum (Gating, Actor) PVLV (Critic)

Phonological Loop Task Store Phonological Loop Task pfc bg a a out go b a b c go go input s 1 a s 2 b s 3 c Recall a b c a b c a b c a b c r 1 r 2 r 3

Phonological Loop Task (O Reilly & Frank, 2006) Epochs to Criterion 3000 2000 1000 0 Phono Loop Training Time PBWM LSTM RBP SRN Algorithm 75 50 25 0 Generalization Error %100 Phono Loop Generalization PBWM LSTM RBP SRN Algorithm PBWM = Prefrontal Basal-ganglia Working Memory; LSTM = Long Short Term Memory (Schmidhuber et al.); RBP = Recurrent BackPropagation; SRN = Simple Recurrent Network.

% Networks Solving Task Accuracy Training Needed to Learn 50 0 Epochs to Criterion 400 350 300 250 200 100 450 12AX Working Memory Performance 12AX Working Memory Performance Intact SZ (+ BG DA) Intact SZ (+ BG DA) Simulating BG DA increases in SZ: Effects on 12AX Working Memory Performance

Evidence for BG gating of PFC Instruction cue signals whether subsequent yellow information is distracting(and should not be stored in working memory). McNab & Klingberg (2008), Nature Neuroscience

Evidence for BG gating of PFC: Lesion patients Baier et al (2010), Journal of Neuroscience

Evidence for BG gating of PFC: Neuroimaging Distractor versus no-distractor contrast: NoGo! McNab & Klingberg (2008), Nature Neuroscience

BothBG and PFCact correlate withwm capacity Better WM function correlates with PFC(middle frontal gyrus) and BG activity in Dist vs NoDist contrast. Globus pallidus = output ofbg; stronger morenogo McNab & Klingberg (2008), Nature Neuroscience

Evidence for BG gating of PFC: Neuroimaging More GP activity Less unnecessary storage of distracting info in parietal cortex (spatial storage; this parietal region is sensitive to memory load).

Evidence for BG gating of PFC: Neuroimaging More GP activity Less unnecessary storage of distracting info in parietal cortex (spatial storage; this parietal region is sensitive to memory load). No such correlation in PFC, suggesting that BG = filter (gate). McNab & Klingberg (2008), Nature Neuroscience

time Testing the Model: AX-CPT Task Cohen etal(1997);barch etal (2001);Frank&O Reilly, 2006 A 5 X R B X L A 7 L 4 Y targetsequence is A -X; press Rbutton. non-targetsequences A -Y,B-X, B -Y;press L button. ignore all distractors (5,7)

time Testing the Model: AX-CPT Task Cohen etal(1997);barch etal (2001);Frank&O Reilly, 2006 A 5 X R B X L A 7 L 4 Y targetsequence is A -X; press Rbutton. non-targetsequences A -Y,B-X, B -Y;press L button. ignore all distractors (5,7) Tests gating and maintenance components of working memory/ attention.

B

X

A

X

A

5

X

A

7

4

Y

A

7

5

X

A

5

7

Y

A

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Working Memory Demands: AX-CPT Task A-X target sequence on 70% of trials. B-Y is control condition, not dependent on working memory. Key conditions: B-X, A-Y

B-X: Working memory, performance a) Update B Working Memory B Gating open Sensory Input B

B-X: Working memory, performance a) Update B b) Maintain B Working Memory B B Gating open closed Sensory Input B 5

B-X: Working memory, performance a) Update B b) Maintain B c) Prepare NonTarg Resp. Working Memory B B B Motor Gating open closed Response Sensory Input B 5

B-X: Working memory, performance a) Update B b) Maintain B c) Prepare NonTarg Resp. Working Memory B B B OK! Motor Gating open closed Response Sensory Input B 5 X

B-X: Working memory, performance a) Update B Working Memory B Gating open Sensory Input B

B-X: Working memory, performance a) Update B b) Update 1 Working Memory B 5 Gating open open Sensory Input B 5

B-X: Working memory, performance a) Update B b) Update 1 c) No Relevant Context. Working Memory B 5 5 Motor Gating open open Response Sensory Input B 5

B-X: Working memory, performance a) Update B b) Update 1 c) No Relevant Context. Working Memory B 5 5 Motor Gating open open Response Sensory Input B 5 X OOPS!

A-Y: Working memory, performance a) Update A Working Memory A X Gating open Sensory Input A

A-Y: Working memory, performance a) Update A b) Maintain A Working Memory A X A X Gating open closed Sensory Input A 5

A-Y: Working memory, performance a) Update A b) Maintain A c) Prepare Targ Resp Working Memory A X A X X A Gating open closed Motor Response Sensory Input A 5

A-Y: Working memory, performance Working Memory a) Update A A X b) Maintain A c) Prepare Targ Resp A X X A Gating open closed Motor Response Sensory Input A 5 Y OOPS!

A-Y: Working memory, performance a) Update A Working Memory A X Gating open Sensory Input A

A-Y: Working memory, performance a) Update A b) Update 1 Working Memory A X 5 Gating open open Sensory Input A 5

A-Y: Working memory, performance a) Update A b) Update 1 c) No Relevant Context: Working Memory A X 5 5 Gating open open Motor Response Sensory Input A 5

A-Y: Working memory, performance a) Update A b) Update 1 c) No Relevant Context: Working Memory A X 5 5 Gating open open Motor Response Sensory Input A 5 Y OK!

Working Memory Demands: AX-CPT Task More active maintenance of task-relevant info more A-Y false alarms, less B-X false alarms

WM context index =BX -AYaccuracy Short Long Delay WM Context Index 10 0-10 -20 20 AX-CPT Working Memory Controls Schiz Barch etal(2001) SZ: Impaired Working Memory

Psychopharmacological Studies Frank& O Reilly, 2006 Double blind, within-subjects design(n=28). Cabergoline and Haloperidol: D2 agonist and D2 antagonist D2 agents: preferential action in BG (Camps et al, 1987; Moghaddam& Bunney, 1990; Arnsten et al., 1994; Seemans & Yang, 2004)

time time Working memory gating task A L Attentional Shift L 1 1 A L L X R B 3 R 2 L L X L L L A L L L 3 1 L 3 L 2 L Y X B 4 L

BG Gating of PFC Working Memory Frank etal2001, O Reilly & Frank 2006, Hazy etal 2007...

DA drug effects on working memory gating see Moustafaetal08 and Franketal 07forsimilar drug effects inparkinson s and ADHD

Analogous drug effects on learning and working memory

How do multiple BG-FC circuits interact in motivated behavior?

Only some maintained PFC reps relevant for processing during intermediate stages of processing

Reduces numberof S-R mappingsneeded to be learned by motorcircuit

Contextual dependencies for output gating (e.g., arithmetic); see also LSTM (Hochreiter & Schmidhuber 97)

Hierarchical interactions among BG-FC circuits BG gates frontal actions (motor, working memory, context) Anterior PFC influence posterior circuits via BG output gating BG-FC circuits learn reward probabilities via DA prediction error signals

Hierarchical interactions in BG-FC circuits: PFC influences on BG learning Collins & Frank 2013, Psych Rev;Frank & Badre 2012

Broader speculations: Why does motor control develop so slowly in humans?? Standard story: infants born early due to large head, small birth canal Fourth trimester

Broader speculations: Why does motor control develop so slowly in humans?? Standard story: infants born early due to large head, small birth canal Fourth trimester But 3 month old infants still pretty incompetent (from babycenter.com):

Broader speculations: Why does motor control develop so slowly in humans?? Standard story: infants born early due to large head, small birth canal Fourth trimester But 3 month old infants still pretty incompetent (from babycenter.com): You no longer need to support his head. When he s on his stomach, he can lift his head and chest. He can open and close his hands..

Broader speculations: Why does motor control develop so slowly in humans?? Standard story: infants born early due to large head, small birth canal Fourth trimester But 3 month old infants still pretty incompetent (from babycenter.com): You no longer need to support his head. When he s on his stomach, he can lift his head and chest. He can open and close his hands.. Hypothesis: human brain is wired to discover generalizable structure... which is initially inefficient.

seealso Gershmanetal 2010

Model mimicry: C-TS and hierarchical BG-PFC network Sparseness of context-pfc connectivity matrix is linked to α clustering Both models are approximations of the same process: building TS structure fmri evidence for hierarchical PFC-BG mechanisms Badre et al 2010; Badre & Frank 2012 Collins & Frank2013 Psych Rev

Hierarchical learning and clustering: First, in adults

Clustering affords faster learning within existing rule sets...

But initial(phase 1) clustering is inefficient and slow!

Now, in Infants! Werchan etal, 2015; in prep

Badre Hierarchical Learning Task Badre, Kayser& D Esposito, 2010 Flat(conjunctive) Hierarchical

Learning Curves

Rostro-caudal axis and hierarchical control prepmd: 2nd level of hierarchical control (from Badre, Koechlin) activity predicts learning in 2nd level hier condition, declines in flat condition

Striatum implicated in hierarchical rule learning How do BG-PFC circuits interact to discover hierarchical structure?

Hierarchical interactions among BG-FC circuits

Application to Badre task Anterior PFC affects posterior circuits via BG output gating Reduces # of stimulus-response mappings needed to be learned in motor circuit.

Application to Badre task

This is due torewardprediction error signals punishing gatingofprepmd whenno hierarchical structure exists (stay tuned) As in fmri data, modelprepmdactivitydecreases inflatrelativeto Hier DA-based RL ingatingnetworks needed for rapidlearning in Hiercond 20 0 1 2 3 4 5 6 7 8 Epoch 0.2 0 100 200 300 Trial 30 0.3 Percent Error 40 0.4 50 0.5 60 0.6 70 80 hier_bgout hier_nodamod hier_bgmnt nohier Normalized Max Activation0.8 Hier prepmd Flat prepmd 0.7 Model prepmd activity by condition Hierarchical Task Modeling BG-PFC hierarchical learning

Modeling individual learners: abstract account Neural model makes plausible links to biology, but unsuitable for quantitative fits to individual subject behavior We developed abstract version of hierarchical rule learning using Bayesian mixture of experts (MoE), motivated by neural model

Modeling individual learners: abstract account Separate experts learn P(Rew Resp, Shape), P(Rew Resp, Orient), etc..

Modeling individual learners: abstract account Separate experts learn P(Rew Resp, Shape), P(Rew Resp, Orient), etc.. Hierarchical experts separately learn statistics about each dimension contingent on a candidate higher order feature (cf. prepmd context for output gating).

Modeling individual learners: abstract account Separate experts learn P(Rew Resp, Shape), P(Rew Resp, Orient), etc.. Hierarchical experts separately learn statistics about each dimension contingent on a candidate higher order feature (cf. prepmd context for output gating). Credit assignment mechanism learns probability that each expert contributes to observed rewards Attentional mechanism selects among experts based on learned probability of success P(Rew e) e.

P(θ r,o δ1...δn) P(δ1...δn θ r,o )P(θ r,o )

weight each expert in proportion to learned probability of expert success P(Rew e) e.

Goal: infer latent hypotheses (attentional wts) by observing sequence of responses & rewards, maximizing likelihood of choices with few free params for each subject

Params: priors to attend to each dimension, to attend to conjunctions, to consider hierarchy. 3 softmax slopes (motor, within experts, between flat/hier).

MoEfits tohumans

Attentional Wts 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 50 100 150 200 250 300 350 Trial 50 100 150 200 250 300 350 Trial 0 0.1 Attentional Wts 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.9 1 Subject118 Hierarchical Subject118 Flat Example attentional weights: MoE fit to human

Attentional Wts 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 Trial Trial 50 100 150 200 250 300 350 400 50 100 150 200 250 300 350 400 0 0.1 0.2 0.3 0.4 w H 0.5 0.6 0.7 0.8 0.9 1 MoE fit to BG PFC Net All Nets: Attention to Hierarchy MoE fitto BG-PFCmodel

50 100 150 200 250 300 350 Trial 0 0.1 0.2 0.3 w H 0.6 0.5 0.4 0.7 0.8 0.9 1 All subjects: Attention to Hierarchy Individual differences in attention to Hierarchy

Median split on AttenH vs AttenF more prepmd in Hier condition 50 100 150 200 250 300 350 Trial 0 0.1 0.2 0.3 w H 0.6 0.5 0.4 0.7 0.8 0.9 1 All subjects: Attention to Hierarchy Individual differences in attention to Hierarchy

Reward prediction errors tracked by entire striatum (cf. O Doherty et al, 2004) 50 100 150 200 250 300 350 Trial 1 0.8 0.6 0.4 PE 0.2 0 0.2 0.4 0.6 0.8 1 Model-based fmri: reward prediction errors

Prediction errors and attention to Hier vs Flat experts

Decline in prepmd should be predicted by sensitivity of BG to PE s associated with hiearchical rule 0.2 0 100 200 300 Trial Normalized Max Activation0.8 0.3 Hier prepmd Flat prepmd 0.4 0.5 0.6 0.7 Model prepmd activity by condition PE s predict PPMD decline in Flat condition

left caudate right caudate Decline in prepmd should be predicted by sensitivity of BG to PE s associated with hiearchical rule 0.2 0 100 200 300 Trial Normalized Max Activation0.8 0.3 Hier prepmd Flat prepmd 0.4 0.5 0.6 0.7 Model prepmd activity by condition PE s predict PPMD decline in Flat condition

S N N M spikes per second Problem with recurrent: strongest activations at any point determine what is maintained not necc. true: best stimulus worst stimulus Intrinsic bistability: selectively activated ion channels. Recurrent excitation: Activations can be maintained in two different ways: Computational/Biological Details

Computational/Biological Details Our proposal: Thalamic disinhibition activates layer 4 FC. Convergence of layer 4 and cortico-cortical 2/3 projections on either 2/3 or 5/6 neurons triggers maintenance ion channels. Other proposals: Thalmocortical loops themselves drive maintenance (enough thalamic neurons to specify what is maintained?) Just recurrent excitation within FC (unstable, but useful complement to ion channels).