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Record 1 of 3: FN ISI Export Format VR 1.0 PT J AU Mitteroecker, P Bookstein, FL AF Mitteroecker, Philipp Bookstein, Fred L. TI Examining Modularity via Partial Correlations: A Rejoinder to a Comment by Paul Magwene SO SYSTEMATIC BIOLOGY LA English DT Article C1 [Mitteroecker, Philipp] Univ Vienna, Dept Theoret Biol, A-1091 Vienna, Austria. [Mitteroecker, Philipp] Konrad Lorenz Inst Evolut & Cognit Res, A-3422 Altenberg, Austria. [Bookstein, Fred L.] Univ Vienna, Dept Anthropol, A-1091 Vienna, Austria. [Bookstein, Fred L.] Univ Washington, Dept Stat, Seattle, WA 98195 USA. RP Mitteroecker, P, Univ Vienna, Dept Theoret Biol, Althanstr 14, A-1091 Vienna, Austria. EM philipp.mitteroecker@univie.ac.at NR 0 TC 0 PU OXFORD UNIV PRESS PI OXFORD PA GREAT CLARENDON ST, OXFORD OX2 6DP, ENGLAND SN 1063-5157 J9 SYST BIOL JI Syst. Biol. PD JUN PY 2009 VL 58 IS 3 BP 346 EP 347 DI 10.1093/sysbio/syp040 PG 2 SC Evolutionary Biology GA 496UL UT ISI:000270004400005 ER EF Record 2 of 3: FN ISI Export Format VR 1.0 PT J AU Josic, K Shea-Brown, E Doiron, B de la Rocha, J AF Josic, Kresimir Shea-Brown, Eric Doiron, Brent de la Rocha, Jaime TI Stimulus-Dependent Correlations and Population Codes SO NEURAL COMPUTATION LA English DT Article ID CAT VISUAL-CORTEX; PSYCHOPHYSICAL PERFORMANCE; NEURONAL CORRELATION; NOISE CORRELATIONS; CODING EFFICIENCY; INFORMATION; DISCHARGE; DISCRIMINATION; VARIABILITY; SYNCHRONIZATION AB The magnitude of correlations between stimulus-driven responses of pairs of neurons can itself be stimulus dependent. We examine how this dependence affects the information carried by neural populations about the stimuli that drive them. Stimulus-dependent changes in correlations can both carry information directly and modulate the information separately carried by the firing rates and variances. We use Fisher information to quantify these effects and show that, although stimulus-dependent correlations often carry little information directly, their modulatory effects on the overall information can be large. In particular, if the stimulus dependence is such that correlations increase with stimulus-induced firing rates, this can significantly enhance the information of the population when the structure of correlations is determined solely by the stimulus. However, in the presence of additional strong spatial decay of correlations, such stimulus dependence may have a negative impact. Opposite relationships hold when correlations decrease with firing rates. C1 [Josic, Kresimir] Univ Houston, Dept Math, Houston, TX 77204 USA. [Shea-Brown, Eric] Univ Washington, Dept Appl Math, Seattle, WA 98195 USA. [Doiron, Brent] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15206 USA. [de la Rocha, Jaime] NYU, Ctr Neural Sci, New York, NY 10012 USA. RP Josic, K, Univ Houston, Dept Math, Houston, TX 77204 USA. EM josic@math.uh.edu etsb@washington.edu bdoiron@pitt.edu jaime.delaroch@nyu.edu FU Burroughs-Wellcome Fund ; NIH [DC005787-01A1]; Texas ARP/ATP ; NSF [DMS-0604429, DMS-0817649] FX We thank Bruno Averbeck, Jeff Beck, and Adam Kohn and the anonymous reviewers for their insights, helpful comments, and suggestions. E.S.-B. holds a Career Award at the Scientific Interface from the Burroughs-Wellcome Fund. This research was also supported by NIH grant DC005787-01A1 (J.R.), a Texas ARP/ATP, and NSF grant DMS-0604429 to K.J., and NSF grant DMS-0817649 to B. D., K.J., and E. S.-B. NR 54 TC 0 PU M I T PRESS PI CAMBRIDGE PA 238 MAIN STREET, STE 500, CAMBRIDGE, MA 02142-1046 USA SN 0899-7667 J9 NEURAL COMPUT JI Neural Comput. PD OCT PY 2009 VL 21 IS 10 BP 2774 EP 2804 PG 31 SC Computer Science, Artificial Intelligence GA 494RN UT ISI:000269833200003 ER EF Record 3 of 3: FN ISI Export Format VR 1.0 PT J AU Lin, KK Shea-Brown, E Young, LS AF Lin, Kevin K. Shea-Brown, Eric Young, Lai-Sang TI Reliability of Coupled Oscillators SO JOURNAL OF NONLINEAR SCIENCE LA English DT Article DE Coupled oscillators; Random dynamical systems; Neural network dynamics ID STRANGE ATTRACTORS; PHASE-LOCKING; NEURAL-NETWORKS; SYSTEMS; SYNCHRONIZATION; NEURONS; CYCLES; POPULATIONS; CHAOS; MODEL AB We study the reliability of phase oscillator networks in response to fluctuating inputs. Reliability means that an input elicits essentially identical responses upon repeated presentations, regardless of the network's initial condition. Single oscillators are well known to be reliable. We show in this paper that unreliable behavior can occur in a network as small as a coupled oscillator pair in which the signal is received by the first oscillator and relayed to the second with feedback. A geometric explanation based on shear-induced chaos at the onset of phase-locking is proposed. We treat larger networks as decomposed into modules connected by acyclic graphs, and give a mathematical analysis of the acyclic parts. Moreover, for networks in this class, we show how the source of unreliability can be localized, and address questions concerning downstream propagation of unreliability once it is produced. C1 [Lin, Kevin K.] Univ Arizona, Dept Math, Tucson, AZ 85721 USA. [Shea-Brown, Eric] Univ Washington, Dept Appl Math, Seattle, WA 98195 USA. [Young, Lai-Sang] NYU, Courant Inst Math Sci, New York, NY USA. RP Lin, KK, Univ Arizona, Dept Math, Tucson, AZ 85721 USA. EM klin@math.arizona.edu etsb@amath.washington.edu lsy@cims.nyu.edu NR 56 TC 0 PU SPRINGER PI NEW YORK PA 233 SPRING ST, NEW YORK, NY 10013 USA SN 0938-8974 J9 J NONLINEAR SCI JI J. Nonlinear Sci. PD OCT PY 2009 VL 19 IS 5 BP 497 EP 545 DI 10.1007/s00332-009-9042-5 PG 49 SC Mathematics, Applied; Mechanics; Physics, Mathematical GA 495HC UT ISI:000269880400003 ER EF
