• From working memory to epilepsy: Dynamics of facilitation and
    inhibition in a cortical Network.

    Verduzco-Flores S., Ermentrout B, Bodner M (2009).

    Chaos 19: 1.
  • Neural networks of working memory.

    Zhou YD, Bodner M. (2008)

    In New Research in Short-term Memory. Nova Science Publishers (New York).
  • Prefrontal Cortex and Somatosensory Cortex in Tactile Crossmodal Association:
    An Independent Component Analysis of ERP Recordings
    .

    Ky Y, Ohara S, Wang L, Lenz FA, Hsiao SS, Bodner M, Hong B, Zhou YD.

    PLoS ONE 2(8): e771.
  • Variability in neuronal activity in primate cortex during working memory tasks.

    Shafi M, Zhou YD, Quintana J, Chow C, Fuster J, Bodner M (2007).

    Neuroscience 146: 1082-1108.
  • Origins of cross-orientation suppression in the visual cortex

    Li, Thompson, Duong, Peterson, Freeman (2006)

    Journal of Neurophysiology 96:1755-1764
  • Direction selectivity of neurons in the striate cortex increases as
    stimulus contrast is decreased
    Peterson, Li, Freeman (2006)
    Journal of Neurophysiology 95: 2705-2712
  • Patterned firing of parietal cells in a haptic working memory task.
    Bodner M, Shafi M, Zhou Y, Fuster JM (2005).
    Eur. J. Neurosci. 21: 2538-2546.
  • Separate spatial scales determine neural activity dependent changes
    in tissue oxygen within central visual pathways

    Thompson, Peterson, Freeman (2005)
    Journal of Neuroscience 25:9046-9058
  • Cross-orientation suppression: monoptic and dichoptic mechanisms are different
    Li, Peterson, Thompson, Duong, Freeman (2005)
    Journal of Neurophysiology 94:1645-1650
  • Near-Infrared Spectroscopy (NIRS) in Cognitive Neuroscience of the Primate Brain.
    Fuster JM, Guiou M, Ardestani A, Cannestra A, Sheth S, Zhou Y, Toga A, Bodner M (2005).
    NeuroImage 26:215-220.
  • Mountcastle principle of columnar cortex as basis for theory of higher brain function:
    Clinical relevance.

    Shaw GL, Bodner M (2005).
    In Neocortical Modularity and Cell Minicolumn (ed. Casanova M), Nova, New York. 187-203
  • Long-term enhancement of maze learning in mice via generalized Mozart effect.
    Auon P, Jones T, Shaw GL, Bodner M (2004).
    Neurological Res. 27: 787-790.
  • Innate spatial-temporal reasoning and identification of genius.
    Peterson M, Balzarini D, Bodner M, Jones EG, Phillips T, Richardson D, Shaw GL (2004).
    Neurological Res. 26: 2-8.
  • fMRI study to investigate spatial correlates of music listening and spatial-temporal reasoning.

    Muftuler, T., Bodner, M., Shaw, G. L., and Nalcioglu, O.

    In 12th Annual Meeting of the International Society of Magnetic Resonance in Medicine. Processing ISSN 1545-4436 (2004)
  • High resolution neurometabolic coupling revealed by focal activation of visual neurons

    Thompson, Peterson, Freeman (2004)

    Nature Neuroscience 7:919-920
  • The derivation of direction selectivity in the striate cortex

    Peterson, Li, Freeman (2004)

    Journal of Neuroscience 24:3583-3591
  • Innate brain language and grammar: Implications for human language and music.

    Shaw GL, Bodner M, Patera J (2003).

    In Stochastic Point Processes (eds Srinivasan SK and Vihayakumar A). Narosa Publishing, New Dehli. pp. 287-305.
  • The Oblique Effect: a neural basis in the visual cortex

    Li, Peterson, Freeman (2003)

    Journal of Neurophysiology 90:204-217
  • Single Neuron Activity and Tissue Oxygenation in the Cerebral Cortex

    Thompson, Peterson, Freeman (2003)

    Science 299:1070-1072
  • Music Math Connection.

    Bodner M, Shaw GL (2002).

    Journal of music and movement based learning 8: 9-16.
  • Reliable short-term memory in the trion model: toward a cortical language and grammar.

    Sardesai M, Figge C, Bodner M, Crosby M, Hansen J, Quillfeldt JA, Landau S, Ostling A, Vuong S, Shaw GL (2001).

    Biol. Cybern. 84: 173-182.
  • Neural and perceptual adjustments to dim light

    Peterson, Ohzawa, Freeman (2001)

    Visual Neuroscience 18:203-208
  • fMRI study relevant to the Mozart effect: brain areas involved in spatial-temporal reasoning.

    Bodner M, Muftuler LT, Nalcioglu O, Shaw GL (2001).

    Neurol Res. 23: 683-690.
  • Symmetry operations in the brain: Music and reasoning.

    Bodner M, Shaw GL (2001).

    In Algebraic Methods in Physics, edited by Y. Saint-Aubin and L. Vinet. Springer NY, p. 17-35.
  • Cross-modal and cross-temporal association in neurons of frontal cortex.

    Fuster JM, Bodner M, Kroger JK (2000).

    Nature 405: 347-351.
  • Detecting symmetric patterns in EEG data: a new method of analysis. Bodner M, Shaw GL, Gabriel R, Johnson JK, Murias M, Swanson J (1999). Clin Electroencephalogr. 30: 143-150.
  • Music enhances spatial-temporal reasoning: towards a neurophysiological basis using EEG.

    Shaw GL, Bodner M (1999).

    Clin Electroencephalogr. 30: 151-155.
  • High-frequency transitions in cortical spike trains related to short-term memory.

    Bodner M, Zhou YD, Fuster JM (1998).

    Neuroscience 86: 1083-1087.
  • Enhancement of spatial-temporal reasoning after a Mozart listening condition in Alzheimer’s disease: A case study.

    Johnson JK, Cotman CW, Tasaki CS, Shaw GL (1998).

    Neurol. Res. 20: 666-672.
  • The “Mozart effect” on epileptiform activity. Hughes JR, Daaboul Y, Fino JJ, Shaw GL (1998). Clinical EEG 29: 109-119.
  • Symmetric temporal patterns in cortical spike trains during performance of a short-term memory task.

    Bodner M, Zhou YD, Shaw GL, Fuster JM (1997).

    Neurol Res. 19: 509-514.
  • Modeling of Perceived Head-Centric Speed and Direction During Pursuit Eye Movements

    Peterson, Freeman, Banks (1997)

    Investigative Ophthalmology and Visual Science. 38(4).
  • Binary mapping of cortical spike trains in short-term memory.

    Bodner M, Zhou YD, Fuster JM (1997).

    J Neurophysiol. 77: 2219-2222.
  • Auditory memory cells in dorsolateral prefrontal cortex.

    Bodner M, Kroger J, Fuster JM (1996).

    Neuroreport 7: 1905-1908.
  • Computation by symmetry operations in a structured model of the brain: Recognition of rotational invariance and time reversal.

    McGrann JV, Shaw GL, Shenoy KV, Leng X, Mathews RB (1994).

    Phys. Rev. E 49: 5830-5839.
  • Music and Spatial Task Performance Rauscher F, Shaw G, Ky K Nature 365:611
  • Toward a neural theory of higher brain function using music as a window.

    Leng X, Shaw GL (1991).

    Concepts Neurosci. 2: 229-258.
  • Model of adaptive temporal development of structured finite systems.

    Patera J, Shaw GL, Slansky R, Leng X (1989)

    Phys. Rev. A 40: 1073-1087.
  • Model of cortical organization embodying a basis for a theory of information processing and memory recall.

    Shaw GL, Silverman DJ, Pearson JC (1985).

    Proc. Natl. Acad. Science USA 82: 2364-2368.

  • From working memory to epilepsy: Dynamics of facilitation and inhibition in a cortical Network.

    Verduzco-Flores S., Ermentrout B, Bodner M (2009).

    Chaos 19: 1.
  • Three dimensional C-, S-, and E-Transforms.

    Nesterenko M, Patera J. (2008).

    J. Phys. A: Math. Theor. 41: 475205.
  • Alternating multivariate trigonometric functions and corresponding Fourier transforms.

    Klimky AU, Patera J (2008).

    J. Phys A. Math. Theor. 41: 145205.
  • Alternating group and multivariate exponential functions.

    Klimyk AU, Patera J. (2008).

    In “Groups and Symmetries; from neolithic scots to John Mckay” AMS-CRM Proceedings and Lectures Notes Series (eds. Harnard and Winternitz).
  • Edge detection algorithm based on DCT continuous extension technique.

    Asatryan DG, Patera J. (2008).

    Physics of Atomic Nuclei 71: 795-799.
  • Invariants of solvable Lie algebras with triangular nilradicals and diagonal nilindependnet elements.

    Boyko V, Patera J, Popovych R (2008).

    Linear Algebra Appl. 428: 834-854.
  • Symmetry math video game used to train profound spatial-temporal reasoning abilities equivalent to dynamic knot theory.

    Bodner M, Shaw GL (2004).

    CRM Proc. and Lec. Notes: American Mathematical Soc. 34.
  • Dynamics of Innate Spatial-Temporal Learning Process: Data Driven Education Results Identify Universal Barriers to Learning

    Hu W, Bodner M, Jones EG, Peterson M, Shaw GL (2004).

    International Conference on Complex Systems (ICCS 2004), Boston , MA
  • Innate brain language and grammar: Implications for human language and music.

    Shaw GL, Bodner M, Patera J (2003).

    In Stochastic Point Processes (eds Srinivasan SK and Vihayakumar A). Narosa Publishing, New Dehli. pp. 287-305.
  • Reliable short-term memory in the trion model: toward a cortical language and grammar.

    Sardesai M, Figge C, Bodner M, Crosby M, Hansen J, Quillfeldt JA, Landau S, Ostling A, Vuong S, Shaw GL (2001).

    Biol. Cybern. 84: 173-182.
  • Symmetry operations in the brain: Music and reasoning.

    Bodner M, Shaw GL (2001).

    In Algebraic Methods in Physics, edited by Y. Saint-Aubin and L. Vinet. Springer NY, p. 17-35.
  • Computation by symmetry operations in a structured model of the brain: Recognition of rotational invariance and time reversal.

    McGrann JV, Shaw GL, Shenoy KV, Leng X, Mathews RB (1994).

    Phys. Rev. E 49: 5830-5839.
  • Calabi-Yau supermoduli space, field strength duality and mirror manifolds.

    Ferrara S, Bodner M, Cadavid AC (1990).

    Phys. Lett B247: 25-30.
  • Dimensional reduction of type IIB supergravity and exceptional quaternionic manifolds.

    Bodner M, Cadavid AC (1990).

    Class. Quant. Grav. 7:829.
  • Supersymmetry algebra of antisymmetric tensors with Green-Schwarz mechanisms.

    Bodner M, Villasante M (1990).

    Phys Rev D 41: 3255-3258.
  • Model of adaptive temporal development of structured finite systems.

    Patera J, Shaw GL, Slansky R, Leng X (1989)

    Phys. Rev. A 40: 1073-1087.
  • Model of cortical organization embodying a basis for a theory of information processing and memory recall.

    Shaw GL, Silverman DJ, Pearson JC (1985).

    Proc. Natl. Acad. Science USA 82: 2364-2368.

  • Spatial Temporal Mathematics at Scale: An Innovative and Fully Developed Paradigm to Boost Math Achievement among All Learners

    Rutherford, et. al. (2010)

    Annual Meeting of the American Educational Research Association (Denver, CO, Apr 30-May 4, 2010)
  • Non-language-based instruction in mathematics

    Peterson, Patera (2006)

    Proceedings of the International Commission for the Study and Improvement
    of Mathematics Education (CIEAEM) 58:314-318
  • Innate spatial-temporal reasoning and the identification of genius

    Peterson, Balzarini, Bodner, Jones, Phillips, Richardson, Shaw (2004)

    Neurological Research. 26:2-8
  • Dynamics of Innate Spatial-Temporal Learning Process: Data Driven Education Results Identify Universal Barriers to Learning

    Hu W, Bodner M, Jones EG, Peterson M, Shaw GL (2004).

    International Conference on Complex Systems (ICCS 2004), Boston , MA
  • Data mining of mathematical reasoning data relevant to large innate spatial-temporal reasoning abilities in children: Implications for data driven education

    Hu, Bodner, Jones, Peterson, Shaw (2004)

    Soc. Neurosci Abst 34th annual meeting
  • Keeping Mozart in MIND, Second Edition

    Gordon Shaw

    Academic Press (2003)
  • Music and Spatial Task Performance

    Rauscher F, Shaw G, Ky K (1993).

    Nature 365:611