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The highly irregular firing of cortical cells is inconsistent with temporal integration of random EPSPs

by William Ft. Softky, Christof Koch - Journal of Neuroscience , 1993
"... How random is the discharge pattern of cortical neurons? We examined recordings from primary visual cortex (Vl; Knierim and Van Essen, 1992) and extrastriate cortex (MT; Newsome et al., 1989a) of awake, behaving macaque mon-key and compared them to analytical predictions. For non-bursting cells firi ..."
Abstract - Cited by 457 (11 self) - Add to MetaCart
in virtually all Vl and MT neurons was nearly consistent with a completely random process (e.g., C, = 1). We tried to model this high variability by small, indepen-dent, and random EPSPs converging onto a leaky integrate-and-fire neuron (Knight, 1972). Both this and related models

The Computational Brain.

by P S Churchland , T J Sejnowski , Bruce Bridgeman , 1994
"... Keywords: reductionism, neural networks, distributed coding, Karl Pribram, computational neuroscience, receptive field 1.1 The broad goal of this book, expressed at the start, is ``to understand how neurons give rise to a mental life.'' A mental reductionism is assumed in this seductively ..."
Abstract - Cited by 450 (7 self) - Add to MetaCart
PDP (parallel distributed processing, or artificial neural network) models were too biologically unrealistic to provide viable interpretations of the single-cell data. Churchland and Sejnowski show how distributed models can now attack this problem, providing significant insights into brain function

Theory for the development of neuron selectivity: orientation specificity and binocular interaction in visual cortex

by Elie L. Bienenstock, Leon N Cooper, Paul W. Munro - J. Neurosci , 1982
"... The development of stimulus selectivity in the primary sensory cortex of higher vertebrates is considered in a general mathematical framework. A synaptic evolution scheme of a new kind is proposed in which incoming patterns rather than converging afferents compete. The change in the efficacy of a gi ..."
Abstract - Cited by 432 (20 self) - Add to MetaCart
The development of stimulus selectivity in the primary sensory cortex of higher vertebrates is considered in a general mathematical framework. A synaptic evolution scheme of a new kind is proposed in which incoming patterns rather than converging afferents compete. The change in the efficacy of a

G.: Primary production of the biosphere: Integrating terrestrial and oceanic components

by Christopher B. Field, Michael J. Behrenfeld, James T. R, Paul Falkowski - Science , 1998
"... Integrating conceptually similar models of the growth of marine and terrestrial primary producers yielded an estimated global net primary production (NPP) of 104.9 petagrams of carbon per year, with roughly equal contributions from land and oceans. Approaches based on satellite indices of absorbed s ..."
Abstract - Cited by 248 (6 self) - Add to MetaCart
Integrating conceptually similar models of the growth of marine and terrestrial primary producers yielded an estimated global net primary production (NPP) of 104.9 petagrams of carbon per year, with roughly equal contributions from land and oceans. Approaches based on satellite indices of absorbed

Primary Ocular Movements Revisited

by R. Manzotti, R. Tiso, E. Grosso, G. Sandini , 1994
"... Vision is a very important issue developing artificial anthropomorphic systems. Starting from traditional knowledge about ocular movements, mainly due to physiological observations, the paper revisits primary ocular processes and proposes some new ideas for oculomotor control. It is shown that using ..."
Abstract - Cited by 2 (1 self) - Add to MetaCart
Vision is a very important issue developing artificial anthropomorphic systems. Starting from traditional knowledge about ocular movements, mainly due to physiological observations, the paper revisits primary ocular processes and proposes some new ideas for oculomotor control. It is shown

Integration with respect to fractal functions and stochastic

by M. Zähle - tel-00578521, version 1 - 21 Mar 2011 tel-00578521, version 1 - 21 Mar 2011 Diag([−τ, 0] 2 ), 25 DiagB([−τ, 0] 2 ), 51 L2 B ([−τ, 0]2 ), 51 χ0 ([−τ, 0] 2 ), 47 χ2 ([−τ, 0] 2 ), 47 χ3 ([−τ, 0] 2 ), 48 χ4 ([−τ, 0] 2 ), 48 χ5 ([−τ, 0] 2 ), 49 χ6 ([−τ, 0] 2 ) , 2001
"... The link between fractional and stochastic calculus established in part I of this paper is investigated in more detail. We study a fractional integral operator extending the Lebesgue–Stieltjes integral and introduce a related concept of stochastic integral which is similar to the so–called forward i ..."
Abstract - Cited by 166 (7 self) - Add to MetaCart
integral in stochastic integration theory. The results are applied to ODE driven by fractal functions and to anticipative SDE whose noise processes possess absolutely continuous generalized covariation processes. Mathematics Subject Classification: Primary 60H, Secondary 26A42

Transition Density, A New Measure of Activity in Digital Circuits

by Farid N. Najm - IEEE Transactions on Computer-Aided Design , 1992
"... Reliability assessment is an important part of the design process of digital integrated circuits. We observe that a common thread that runs through most causes of run-time failure is the extent of circuit activity, i.e., the rate at which its nodes are switching. We propose a new measure of activity ..."
Abstract - Cited by 180 (25 self) - Add to MetaCart
Reliability assessment is an important part of the design process of digital integrated circuits. We observe that a common thread that runs through most causes of run-time failure is the extent of circuit activity, i.e., the rate at which its nodes are switching. We propose a new measure

Behavioral theories and the neurophysiology of reward,

by Wolfram Schultz - Annu. Rev. Psychol. , 2006
"... ■ Abstract The functions of rewards are based primarily on their effects on behavior and are less directly governed by the physics and chemistry of input events as in sensory systems. Therefore, the investigation of neural mechanisms underlying reward functions requires behavioral theories that can ..."
Abstract - Cited by 187 (0 self) - Add to MetaCart
that can conceptualize the different effects of rewards on behavior. The scientific investigation of behavioral processes by animal learning theory and economic utility theory has produced a theoretical framework that can help to elucidate the neural correlates for reward functions in learning, goal

Extending Martingale Measure Stochastic Integral With Applications To Spatially Homogeneous S.p.d.e's

by Robert C. Dalang, Departement De Mathematiques, Ecole Polytechnique Federale - S.P.D.E.'S, Electronic Journal of Probability 4, 1-29, http://www.math.washington.edu/ ejpecp/EjpVol4/paper6.abs.html , 1999
"... We extend the definition of Walsh's martingale measure stochastic integral so as to be able to solve stochastic partial di#erential equations whose Green's function is not a function but a Schwartz distribution. This is the case for the wave equation in dimensions greater than two. Even wh ..."
Abstract - Cited by 140 (11 self) - Add to MetaCart
when the integrand is a distribution, the value of our stochastic integral process is a real-valued martingale. We use this extended integral to recover necessary and su#cient conditions under which the linear wave equation driven by spatially homogeneous Gaussian noise has a process solution

Cortical point-spread function and long-range lateral interactions revealed by real-time optical imaging of macaque monkey primary visual cortex

by Amiram Grinvald, Edmund E. Lieke, A Ron D. Frostig, Rina Hildesheim - Journal of Neuroscience , 1994
"... Processing of retinal images is carried out in the myriad dendritic arborizations of cortical neurons. Such processing involves complex dendritic integration of numerous inputs, and the subsequent output is transmitted to multiple targets by extensive axonal arbors. Thus far, details of this intrica ..."
Abstract - Cited by 126 (3 self) - Add to MetaCart
Processing of retinal images is carried out in the myriad dendritic arborizations of cortical neurons. Such processing involves complex dendritic integration of numerous inputs, and the subsequent output is transmitted to multiple targets by extensive axonal arbors. Thus far, details
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