Temporal Neuronal Oscillations can Produce Spatial Phase Codes

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1 See discussions, stats, and author profiles for this publication at: Temporal Neuronal Oscillations can Produce Spatial Phase Codes Chapter in Attention and Performance December 211 DOI: 1.116/B CITATION 1 READS 61 3 authors: Christopher Burgess University College London 2 PUBLICATIONS 1 CITATIONS Nicolas W Schuck Princeton University 17 PUBLICATIONS 11 CITATIONS SEE PROFILE SEE PROFILE Neil Burgess University College London 265 PUBLICATIONS 17,572 CITATIONS SEE PROFILE Some of the authors of this publication are also working on these related projects: Representation of spatial and temporal sequence features by neural oscillations (MEG) View project learning View project All content following this page was uploaded by Nicolas W Schuck on 1 February 214. The user has requested enhancement of the downloaded file.

2 C H A P T E R 5 Temporal Neuronal Oscillations can Produce Spatial Phase Codes Christopher Burgess*, Nicolas W. Schuck, Neil Burgess* * UCL Institute of Cognitive Neuroscience and UCL Institute of Neurology, University College London, London, UK Department of Psychology, Humboldt Universität zu Berlin, Berlin, Germany Summary distance traveled information, spatial location Space, Time and Number in the Brain. DOI: 1.116/B Elsevier Inc. All rights reserved. 59

3 6 5. TEMPORAL NEURONAL OSCILLATIONS CAN PRODUCE SPATIAL PHASE CODES temporal distance A FUNCTIONAL ROLE FOR INTERFERENCE BETWEEN NEURONAL OSCILLATIONS φab() t φa() t φb () t φ () t φ ( ) 2π[ f ( τ) f ( τ)] dτ ab ab a b t

4 A FUNCTIONAL ROLE FOR INTERFERENCE BETWEEN NEURONAL OSCILLATIONS 61 (A) a b a+b Time/s (B) a b a+b Time/s FIGURE 5.1 φ a and φ b f a (t) and f b (t)

5 62 5. TEMPORAL NEURONAL OSCILLATIONS CAN PRODUCE SPATIAL PHASE CODES AN OSCILLATORY INTERFERENCE MODEL OF GRID CELL FIRING BOX 5.1 N E U R A L B A S I S O F S P AT I A L N AV I G AT I O N : ENTORHINAL GRID-CELLS

6 AN OSCILLATORY INTERFERENCE MODEL OF GRID CELL FIRING 63 (A) (B) 1 x 1 x 1m 1m y y (C) (D) + + x = y 1 1 x y GC 1 FIGURE 5.2 Hippocampus f b (t) f a (t) s(t) speed, θ(t) ϕ d f () t f() t βs()cos(() t θ t ϕ ) a b d β φ a φ b φ ab

7 64 5. TEMPORAL NEURONAL OSCILLATIONS CAN PRODUCE SPATIAL PHASE CODES t d(t) t t ab ab a b d dτ πβd t φ () t φ ( ) 2π[ f ( τ) f ( τ)] dτ 2πβ[( s τ)cos (() θ τ ϕ )] 2 ( ) cycles every 2π β 2/ 3 (. i e. 1/cos 3 ) 2/ 3β phase

8 OSCILLATORY INTERFERENCE AND REPRESENTATIONS OF SEQUENTIAL ORDER? 65 β in vivo in vivo OSCILLATORY INTERFERENCE AND REPRESENTATIONS OF SEQUENTIAL ORDER?

9 66 5. TEMPORAL NEURONAL OSCILLATIONS CAN PRODUCE SPATIAL PHASE CODES (A) X (B) V a = COS(2πf a t) f a = f b + βx V b = COS(2πf b t) 5 1 Time [ms] 15 2 (C) (D) 1 Normalized responses (%) Time [ms] Number of items FIGURE 5.3 β

10 SUMMARY AND CONCLUSIONS 67 and values of β SUMMARY AND CONCLUSIONS Acknowledgments

11 68 5. TEMPORAL NEURONAL OSCILLATIONS CAN PRODUCE SPATIAL PHASE CODES References

12 SUMMARY AND CONCLUSIONS 69 View publication stats