Stochastic dynamics as a principle of brain function

Amit, 1997, Model of global spontaneous activity and local structured activity during delay periods in the cerebral cortex, Cereb. Cortex, 7, 237, 10.1093/cercor/7.3.237 Barto, A.G., 1985. Learning by statistical cooperation of self-interested neuron-like computing elements. In: Computer and Information Science, vol. 85. Massachusetts, Amherst. Battaglia, 1998, Stable and rapid recurrent processing in realistic auto-associative memories, Neural Comput., 10, 431, 10.1162/089976698300017827 Blackerby, 1993 Blake, 2002, Visual competition, Nat. Rev. Neurosci., 3, 13, 10.1038/nrn701 Bogacz, 2006, The physics of optimal decision making: a formal analysis of models of performance in two-alternative forced-choice tasks, Psychol. Rev., 113, 700, 10.1037/0033-295X.113.4.700 Brody, 2003, Basic mechanisms for graded persistent activity: discrete attractors, continuous attractors, and dynamic representations, Curr. Opin. Neurobiol., 13, 204, 10.1016/S0959-4388(03)00050-3 Brown, 2005, A ballistic model of choice response time, Psychol. Rev., 112, 117, 10.1037/0033-295X.112.1.117 Brunel, 2001, Effects of neuromodulation in a cortical network model of object working memory dominated by recurrent inhibition, J. Comput. Neurosci., 11, 63, 10.1023/A:1011204814320 Carpenter, 1995, Neural computation of log likelihood in control of saccadic eye movements, Nature, 377, 59, 10.1038/377059a0 Churchland, 2008, Decision-making with multiple alternatives, Nat. Neurosci., 11, 693, 10.1038/nn.2123 Corchs, 2002, Large-scale neural model for visual attention: integration of experimental single-cell and fmri data, Cereb. Cortex, 12, 339, 10.1093/cercor/12.4.339 Corrado, 2005, Linear–nonlinear–Poisson models of primate choice dynamics, J. Exp. Anal. Behav., 84, 581, 10.1901/jeab.2005.23-05 Dawkins, 1995 de Lafuente, 2005, Neuronal correlates of subjective sensory experience, Nat. Neurosci., 12, 1698, 10.1038/nn1587 de Lafuente, 2006, Neural correlate of subjective sensory experience gradually builds up across cortical areas, Proc. Natl. Acad. Sci. U.S.A., 103, 14266, 10.1073/pnas.0605826103 Deco, 2007, Deterministic analysis of stochastic bifurcations in multi-stable neurodynamical systems, Biol. Cybern., 96, 487, 10.1007/s00422-007-0144-6 Deco, 2007, Extended method of moments for deterministic analysis of stochastic multistable neurodynamical systems, Phys. Rev. E: Stat. Nonlin. Soft Matter Phys., 75, 031913, 10.1103/PhysRevE.75.031913 Deco, 2007, Perceptual detection as a dynamical bistability phenomenon: a neurocomputational correlate of sensation, Proc. Natl. Acad. Sci. U.S.A., 104, 20073, 10.1073/pnas.0709794104 Deco, 2003, Attention and working memory: a dynamical model of neuronal activity in the prefrontal cortex, Eur. J. Neurosci., 18, 2374, 10.1046/j.1460-9568.2003.02956.x Deco, 2005, Neurodynamics of biased competition and co-operation for attention: a model with spiking neurons, J. Neurophysiol., 94, 295, 10.1152/jn.01095.2004 Deco, 2005, Sequential memory: a putative neural and synaptic dynamical mechanism, J. Cogn. Neurosci., 17, 294, 10.1162/0898929053124875 Deco, 2005, Synaptic and spiking dynamics underlying reward reversal in orbitofrontal cortex, Cereb. Cortex, 15, 15, 10.1093/cercor/bhh103 Deco, 2006, Decision-making and Weber's law: a neurophysiological model, Eur. J. Neurosci., 24, 901, 10.1111/j.1460-9568.2006.04940.x Deco, 2004, “What” and “Where” in visual working memory: a computational neurodynamical perspective for integrating fmri and single-neuron data, J. Cogn. Neurosci., 16, 683, 10.1162/089892904323057380 Deco, 2007, Weber's law in decision making: integrating behavioral data in humans with a neurophysiological model, J. Neurosci., 27, 11192, 10.1523/JNEUROSCI.1072-07.2007 Faisal, 2008, Noise in the nervous system, Nat. Rev. Neurosci., 9, 292, 10.1038/nrn2258 Glimcher, 2003, The neurobiology of visual-saccadic decision making, Annu. Rev. Neurosci., 26, 133, 10.1146/annurev.neuro.26.010302.081134 Glimcher, 2005, Indeterminacy in brain and behavior, Annu. Rev. Psychol., 56, 25, 10.1146/annurev.psych.55.090902.141429 Gold, 2000, Representation of a perceptual decision in developing oculomotor commands, Nature, 404, 390, 10.1038/35006062 Gold, 2002, Banburismus and the brain: decoding the relationship between sensory stimuli decisions reward, Neuron, 36, 299, 10.1016/S0896-6273(02)00971-6 Green, 1966 Heinrichs, 2005, Antidepressants and the chaotic brain: implications for the respectful treatment of selves, Phil. Psychiatr. Psychol., 12, 215, 10.1353/ppp.2006.0006 Hernandez, 1997, Discrimination in the sense of flutter: new psychophysical measurements in monkeys, J. Neurosci., 17, 6391, 10.1523/JNEUROSCI.17-16-06391.1997 Hernandez, 2002, Temporal evolution of a decision-making process in medial premotor cortex, Neuron, 33, 959, 10.1016/S0896-6273(02)00613-X Horne, 2006 Hubel, 1968, Receptive fields and functional architecture of macaque monkey striate cortex, J. Physiol., 195, 215, 10.1113/jphysiol.1968.sp008455 Jackson, 2004, Including long-range dependence in integrate-and-fire models of the high interspike-interval variability of cortical neurons, Neural Comput., 16, 2125, 10.1162/0899766041732413 Kacelnik, 1998, Risky choice and Weber's law, J. Theor. Biol., 194, 289, 10.1006/jtbi.1998.0763 2000 Kramers, 1940, Brownian motion in a field of force and the diffusion model of chemical reactions, Physicas, 7, 284, 10.1016/S0031-8914(40)90098-2 1991 La Camera, 2004, Minimal models of adapted neuronal response to in vivo-like input currents, Neural Comput., 16, 2101, 10.1162/0899766041732468 Lewis, 2005, Bridging emotion theory and neurobiology through dynamic systems modeling, Behav. Brain Sci., 28, 169, 10.1017/S0140525X0500004X Loh, 2007, A dynamical systems hypothesis of schizophrenia, PLoS Comput. Biol., 3, e228, 10.1371/journal.pcbi.0030228 Loh, 2007, Statistical fluctuations in attractor networks related to schizophrenia, Pharmacopsychiatry, 40, S78, 10.1055/s-2007-990304 Machens, 2005, Flexible control of mutual inhibition: a neural model of two-interval discrimination, Science, 307, 1121, 10.1126/science.1104171 Maier, 2005, Global competition dictates local suppression in pattern rivalry, J. Vis., 5, 668, 10.1167/5.9.2 Marti, 2006, Reward-based probabilistic decision-making: mean-field predictions and spiking simulations, Neurocomputing, 69, 1175, 10.1016/j.neucom.2005.12.069 Marti, 2008, A fluctuation-driven mechanism for slow decision processes in reverberant networks, PLoS ONE, 3, e2534, 10.1371/journal.pone.0002534 Mattia, 2002, Attention and working memory: a dynamical model of neuronal activity in the prefrontal cortex, Phys. Rev. E, 66, 51917, 10.1103/PhysRevE.66.051917 Maynard Smith, 1982 Maynard Smith, 1984, Game theory and the evolution of behaviour, Behav. Brain Sci., 7, 95, 10.1017/S0140525X00026327 Mountcastle, 1967, Neural basis of the sense of flutter-vibration, Science, 155, 597, 10.1126/science.155.3762.597 Mountcastle, 1969, Cortical neuronal mechanisms in flutter-vibration studied in unanesthetized monkeys. Neuronal periodicity and frequency discrimination, J. Neurophysiol., 32, 452, 10.1152/jn.1969.32.3.452 Newsome, 1989, Neuronal correlates of a perceptual decision, Nature, 341, 52, 10.1038/341052a0 Panzeri, 2001, Speed of information retrieval in multilayer networks of integrate-and-fire neurons, Netw. Comput. Neural Syst., 12, 423, 10.1080/net.12.4.423.440 Peled, 2004, From plasticity to complexity: a new diagnostic method for psychiatry, Med. Hypotheses, 63, 110, 10.1016/j.mehy.2004.02.010 Platt, 1999, Neural correlates of decision variables in parietal cortex, Nature, 400, 233, 10.1038/22268 Ratcliff, 1999, Connectionist and diffusion models of reaction time, Psychol. Rev., 106, 261, 10.1037/0033-295X.106.2.261 Renart, 2003, Mean field theory of irregularly spiking neuronal populations and working memory in recurrent cortical networks, 431 Ricciardi, 1979, The Ornstein-Uhlenbeck process as a model for neuronal activity. I. Mean and variance of the firing time, Biol. Cybern., 35, 1, 10.1007/BF01845839 Riley, 2001, The self-organizing dynamics of intentions and actions, Am. J. Psychol., 114, 160, 10.2307/1423388 Rolls, 2005 Rolls, 2007, A computational neuroscience approach to consciousness, Neural Netw., 20, 962, 10.1016/j.neunet.2007.10.001 Rolls, 2008, Emotion, higher order syntactic thoughts, and consciousness, 131 Rolls, 2008 Rolls, 2002 Rolls, E.T., Deco, G., in preparation. Stochastic Dynamics as a Principle of Brain Function. Rolls, 2006, A computational theory of hippocampal function, and empirical tests of the theory, Prog. Neurobiol., 79, 1, 10.1016/j.pneurobio.2006.04.005 Rolls, 2008, An attractor hypothesis of obsessive-compulsive disorder, Eur. J. Neurosci., 28, 782, 10.1111/j.1460-9568.2008.06379.x Rolls, 2008, Computational models of schizophrenia and dopamine modulation in the prefrontal cortex, Nat. Rev. Neurosci., 9, 696, 10.1038/nrn2462 Rolls, 2008, Expected value, reward outcome, and temporal difference error representations in a probabilistic decision task, Cereb. Cortex, 18, 652, 10.1093/cercor/bhm097 Rolls, 1998 Rolls, 2008, Spatial scene representations formed by self-organizing learning in a hippocampal extension of the ventral visual system, Eur. J. Neurosci., 28, 2116, 10.1111/j.1460-9568.2008.06486.x Romo, 1999, Neuronal correlates of parametric working memory in the prefrontal cortex, Nature, 399, 470, 10.1038/20939 Romo, 2004, Neuronal correlates of a perceptual decision in ventral premotor cortex, Neuron, 41, 165, 10.1016/S0896-6273(03)00817-1 Romo, 2002, Neuronal correlates of decision-making in secondary somatosensory cortex, Nat. Neurosci., 5, 1217, 10.1038/nn950 Romo, 1998, Somatosensory discrimination based on cortical microstimulation, Nature, 392, 387, 10.1038/32891 Romo, 2003, Correlated neuronal discharges that increase coding efficiency during perceptual discrimination, Neuron, 38, 649, 10.1016/S0896-6273(03)00287-3 Romo, 2001, Touch and go: decision-making mechanisms in somatosensation, Annu. Rev. Neurosci., 24, 107, 10.1146/annurev.neuro.24.1.107 Romo, 2003, Flutter discrimination: neural codes, perception, memory and decision making, Nat. Rev. Neurosci., 4, 203, 10.1038/nrn1058 Roxin, 2008, Neurobiological models of two-choice decision making can be reduced to a one-dimensional nonlinear diffusion equation, PLoS Comput. Biol., 4, e1000046, 10.1371/journal.pcbi.1000046 Schall, 2001, Neural basis of deciding, choosing and acting, Nat. Rev. Neurosci., 2, 33, 10.1038/35049054 Shadlen, 1996, Motion perception: seeing and deciding, Proc. Natl. Acad. Sci. U.S.A., 93, 628, 10.1073/pnas.93.2.628 Shulman, 2001, Multiple neural correlates of detection in the human brain, Proc. Natl. Acad. Sci. U.S.A., 98, 313, 10.1073/pnas.021381198 Sigala, 2002, Visual categorization shapes feature selectivity in the primate temporal cortex, Nature, 415, 318, 10.1038/415318a Smith, 2004, Psychology and neurobiology of simple decisions, Trends Neurosci., 27, 161, 10.1016/j.tins.2004.01.006 Stocks, 2000, Suprathreshold stochastic resonance in multilevel threshold systems, Phys. Rev. Lett., 84, 2310, 10.1103/PhysRevLett.84.2310 Sugrue, 2005, Choosing the greater of two goods: neural currencies for valuation and decision making, Nat. Rev. Neurosci., 6, 363, 10.1038/nrn1666 Sutton, 1981, Towards a modern theory of adaptive networks: expectation and prediction, Psychol. Rev., 88, 135, 10.1037/0033-295X.88.2.135 Szabo, 2004, Cooperation and biased competition model can explain attentional filtering in the prefrontal cortex, Eur. J. Neurosci., 19, 1969, 10.1111/j.1460-9568.2004.03211.x Szabo, 2006, Learning to attend: modeling the shaping of selectivity in infero-temporal cortex in a categorization task, Biol. Cybern., 94, 351, 10.1007/s00422-006-0054-z Talbot, 1968, The sense of flutter-vibration: comparison of the human capacity with response patterns of mechanoreceptive afferents from the monkey hand, J. Neurophysiol., 31, 301, 10.1152/jn.1968.31.2.301 Tanji, 2001, Sequential organization of multiple movements: involvement of cortical motor areas, Annu. Rev. Neurosci., 24, 631, 10.1146/annurev.neuro.24.1.631 Thompson, 1996, Perceptual and motor processing stages identified in the activity of macaque frontal eye field neurons during visual search, J. Neurophysiol., 76, 4040, 10.1152/jn.1996.76.6.4040 Treves, 1993, Mean-field analysis of neuronal spike dynamics, Network, 4, 259, 10.1088/0954-898X/4/3/002 Tuckwell, 1988 Usher, 2001, The time course of perceptual choice: the leaky, competing accumulator model, Psychol. Rev., 108, 550, 10.1037/0033-295X.108.3.550 Wang, 1999, Synaptic basis of cortical persistent activity: the importance of NMDA receptors to working memory, J. Neurosci., 19, 9587, 10.1523/JNEUROSCI.19-21-09587.1999 Wang, 2002, Probabilistic decision making by slow reverberation in cortical circuits, Neuron, 36, 955, 10.1016/S0896-6273(02)01092-9 1980 Wong, 2006, A recurrent network mechanism of time integration in perceptual decisions, J. Neurosci., 26, 1314, 10.1523/JNEUROSCI.3733-05.2006