Access the full text.
Sign up today, get DeepDyve free for 14 days.
Michael Cohen, S. Grossberg (1983)
Absolute stability of global pattern formation and parallel memory storage by competitive neural networksIEEE Transactions on Systems, Man, and Cybernetics, SMC-13
J. McCarthy (1987)
SOME PHILOSOPHICAL PROBLEMS FROM THE STANDPOINT OF ARTI CIAL INTELLIGENCEMachine intelligence
W. Gerstner, Richard Naud (2009)
How Good Are Neuron Models?Science, 326
C. Hull (1974)
A behavior system: An introduction to behavior theory concerning the individual organism
D. Paré, R. Llinás (1995)
Conscious and pre-conscious processes as seen from the standpoint of sleep-waking cycle neurophysiologyNeuropsychologia, 33
N. Baas, C. Emmeche (1997)
On emergence and explanationIntellectica, 25
S. Bressler (2007)
The Formation of Global Neurocognitive State
M. Healy, T. Caudell (2006)
Ontologies and Worlds in Category Theory: Implications for Neural SystemsAxiomathes, 16
M. Casanova (2012)
Neocortical Modularity And The Cell Minicolumn
J. Bower (2005)
Looking for Newton: Realistic Modeling in Modern Biology
A. Sokal, J. Bricmont (1999)
Book review: Fashionable nonsense: Postmodern intellectuals' abuse of science
V. Mountcastle
The Columnar Organization of the Neocortex
J. Baez (1997)
An Introduction to n-Categories
(2008)
Why evolution does not always lead to an optimal signaling system
S. Mizumori (2008)
Hippocampal Place FieldsHippocampus, 16
H. Poincaré (1906)
Science and Hypothesis
J. Fodor (1983)
Modularity of mind
B. Ermentrout (1998)
Neural networks as spatio-temporal pattern-forming systemsReports on Progress in Physics, 61
Jonah Lehrer (2009)
Neuroscience: Making connectionsNature, 457
Mario Bunge (1989)
La investigación cientifica
W. Bechtel, Jennifer Mundale (1999)
Multiple Realizability Revisited: Linking Cognitive and Neural StatesPhilosophy of Science, 66
J. Caplan, J. Madsen, A. Schulze-Bonhage, R. Aschenbrenner-Scheibe, E. Newman, M. Kahana (2003)
Human θ Oscillations Related to Sensorimotor Integration and Spatial LearningThe Journal of Neuroscience, 23
Hodgkin Al, Huxley Af (1952)
A quantitative description of membrane current and its application to conduction and excitation in nerveBulletin of Mathematical Biology, 52
S. Strogatz (2001)
Exploring complex networksNature, 410
D. Watts, S. Strogatz (1998)
Collective dynamics of ‘small-world’ networksNature, 393
M. Humphries, K. Gurney, T. Prescott (2006)
The brainstem reticular formation is a small-world, not scale-free, networkProceedings of the Royal Society B: Biological Sciences, 273
B. Palsson (2006)
Systems Biology: Properties of Reconstructed Networks
Konika Banerjee, P. Bloom (2013)
Would Tarzan believe in God? Conditions for the emergence of religious beliefTrends in Cognitive Sciences, 17
J. Horton, D. Adams (2005)
The cortical column: a structure without a functionPhilosophical Transactions of the Royal Society B: Biological Sciences, 360
P. Cull (2007)
The mathematical biophysics of Nicolas RashevskyBio Systems, 88 3
Jerome Feldman (2009)
Ecological expected utility and the mythical neural codeCognitive Neurodynamics, 4
S. Shapiro (2005)
The Oxford Handbook of Philosophy of Mathematics and Logic
C. Honey, J. Thivierge, O. Sporns (2010)
Can structure predict function in the human brain?NeuroImage, 52
M. Dyer, Catherine Greenhill (2000)
The complexity of counting graph homomorphismsRandom Struct. Algorithms, 17
M. Breakspear, C. Stam (2005)
Dynamics of a neural system with a multiscale architecturePhilosophical Transactions of the Royal Society B: Biological Sciences, 360
P. Buono (2001)
Models of central pattern generators for quadruped locomotion II. Secondary gaitsJournal of Mathematical Biology, 42
G. Tononi, O. Sporns, G. Edelman (1999)
Measures of degeneracy and redundancy in biological networks.Proceedings of the National Academy of Sciences of the United States of America, 96 6
J. Damoiseaux, S. Rombouts, F. Barkhof, P. Scheltens, C. Stam, Stephen Smith, C. Beckmann (2006)
Consistent resting-state networks across healthy subjectsProceedings of the National Academy of Sciences, 103
L. Harrison, O. David, Karl Friston (2005)
Stochastic models of neuronal dynamicsPhilosophical Transactions of the Royal Society B: Biological Sciences, 360
Michèle Titcombe, L. Glass, D. Guehl, A. Beuter (2001)
Dynamics of Parkinsonian tremor during deep brain stimulation.Chaos, 11 4
R. Giere (2009)
An agent-based conception of models and scientific representationSynthese, 172
S. Hayasaka, P. Laurienti (2010)
Comparison of characteristics between region-and voxel-based network analyses in resting-state fMRI dataNeuroImage, 50
J. Onnela, J. Saramäki, J. Kertész, K. Kaski (2004)
Intensity and coherence of motifs in weighted complex networks.Physical review. E, Statistical, nonlinear, and soft matter physics, 71 6 Pt 2
W. James
The principles of psychology, 20
G. Nicolis, I. Prigogine (1977)
Formative Processes. (Book Reviews: Self-Organization in Nonequilibrium Systems. From Dissipative Structures to Order through Fluctuations)Science
R. Goebel, D. Linden, H. Lanfermann, F. Zanella, W. Singer (1998)
Functional imaging of mirror and inverse reading reveals separate coactivated networks for oculomotion and spatial transformationsNeuroReport, 9
Eric Zilli, Motoharu Yoshida, B. Tahvildari, Lisa Giocomo, M. Hasselmo (2009)
Evaluation of the Oscillatory Interference Model of Grid Cell Firing through Analysis and Measured Period Variance of Some Biological OscillatorsPLoS Computational Biology, 5
Pei Wang (2007)
Three fundamental misconceptions of Artificial IntelligenceJournal of Experimental & Theoretical Artificial Intelligence, 19
Lisa Dive (2003)
An Epistemic Structuralist Account of Mathematical Knowledge
S. Wasserman, Katherine Faust (1994)
Social Network Analysis: Methods and Applications
N. Ay, D. Krakauer (2006)
Geometric robustness theory and biological networksTheory in Biosciences, 125
M. Newman (2003)
The Structure and Function of Complex NetworksSIAM Rev., 45
G. Mack (1996)
Gauge Theory of Things Alive: Universal Dynamics as a Tool in Parallel ComputingProgress of Theoretical Physics Supplement, 122
Alex Taylor (2009)
Machine intelligenceProceedings of the SIGCHI Conference on Human Factors in Computing Systems
Hans Cruz, T. Ivanova, M. Lunn, M. Stoffel, P. Slesinger, C. Lüscher (2004)
Bi-directional effects of GABAB receptor agonists on the mesolimbic dopamine systemNature Neuroscience, 7
E. Mayr (1997)
This Is Biology: The Science of the Living World
B. McInnes, Jannene McBride, N. Evans, David Lambert, A. Andrew (1999)
Emergence of Scaling in Random Networks
B. Horwitz (2003)
The elusive concept of brain connectivityNeuroImage, 19
D. Noble (2010)
Biophysics and systems biologyPhilosophical transactions. Series A, Mathematical, physical, and engineering sciences, 368
R. Courant (1941)
What is mathematics? : an elementary approach to ideas and methods / R. Courant, Herbert Robbins, 1941
A. Stevens, Sarah Tappon, Arun Garg, D. Fair (2012)
Functional Brain Network Modularity Captures Inter- and Intra-Individual Variation in Working Memory CapacityPLoS ONE, 7
T. Solstad, E. Moser, G. Einevoll (2006)
From grid cells to place cells: A mathematical modelHippocampus, 16
E. Sanz-Arigita, M. Schoonheim, J. Damoiseaux, S. Rombouts, E. Maris, F. Barkhof, P. Scheltens, C. Stam (2010)
Loss of ‘Small-World’ Networks in Alzheimer's Disease: Graph Analysis of fMRI Resting-State Functional ConnectivityPLoS ONE, 5
G. West, James Brown, B. Enquist (1997)
A General Model for the Origin of Allometric Scaling Laws in Biology, 276
R. Tamarin (1982)
Principles of genetics
F. Theunissen, J. Roddey, S. Stufflebeam, H. Clague, John Miller (1996)
Information theoretic analysis of dynamical encoding by four identified primary sensory interneurons in the cricket cercal system.Journal of neurophysiology, 75 4
I. Whishaw, C. Vanderwolf (1973)
Hippocampal EEG and behavior: changes in amplitude and frequency of RSA (theta rhythm) associated with spontaneous and learned movement patterns in rats and cats.Behavioral biology, 8 4
R. Cossart, D. Aronov, R. Yuste (2003)
Attractor dynamics of network UP states in the neocortexNature, 423
M. Dummett (2006)
Thought and Reality
R. Srinivasan, D. Russell, G. Edelman, G. Tononi (1999)
Increased Synchronization of Neuromagnetic Responses during Conscious PerceptionThe Journal of Neuroscience, 19
L.F Abbott (1999)
Lapicque’s introduction of the integrate-and-fire model neuron (1907)Brain Research Bulletin, 50
J. White, E. Southgate, J. Thomson, S. Brenner (1983)
Factors that determine connectivity in the nervous system of Caenorhabditis elegans.Cold Spring Harbor symposia on quantitative biology, 48 Pt 2
A. Arleo, W. Gerstner (2000)
Spatial cognition and neuro-mimetic navigation: a model of hippocampal place cell activityBiological Cybernetics, 83
W. Gerstner, W. Kistler (2002)
Spiking Neuron Models: Single Neurons, Populations, Plasticity
D. Rubel, T. Wiesel (1977)
Functional architecture of macaque monkey visual cortex
W. Wiltschko, R. Wiltschko (1996)
Magnetic orientation in birdsThe Journal of experimental biology, 199 Pt 1
G. Miller (2007)
Charge densities of the neutron and proton.Physical review letters, 99 11
R. Salvador, J. Suckling, M. Coleman, J. Pickard, D. Menon, E. Bullmore (2005)
Neurophysiological architecture of functional magnetic resonance images of human brain.Cerebral cortex, 15 9
E. Rolls (2007)
Memory, Attention, and Decision-Making
M. Arbib, E. Manes (1975)
Arrows, Structures, and Functors: The Categorical Imperative
H. Simmons (2011)
An Introduction to Category Theory
L. Hartwell, J. Hopfield, S. Leibler, A. Murray (1999)
From molecular to modular cell biologyNature, 402
M. Gerstein, Can Bruce, J. Rozowsky, D. Zheng, Jiang Du, J. Korbel, O. Emanuelsson, Zhengdong Zhang, S. Weissman, M. Snyder (2007)
What is a gene, post-ENCODE? History and updated definition.Genome research, 17 6
D. Bassett, E. Bullmore (2006)
Small-World Brain NetworksThe Neuroscientist, 12
E. Livingston (1999)
Cultures of ProvingSocial Studies of Science, 29
S. Mizumori, JD Williams (1993)
Directionally selective mnemonic properties of neurons in the lateral dorsal nucleus of the thalamus of rats, 13
A. Zee, D. Greenberger (1986)
Fearful Symmetry: The Search for Beauty in Modern PhysicsPhysics Today, 41
B. Bakker (2005)
The concept of circular causality should be discardedBehavioral and Brain Sciences, 28
J. Fell (2004)
Identifying neural correlates of consciousness: The state space approachConsciousness and Cognition, 13
D. Richter (1968)
Mind as MachineNature, 218
G. Ermentrout, N. Kopell (1991)
Multiple pulse interactions and averaging in systems of coupled neural oscillatorsJournal of Mathematical Biology, 29
V. Ven, E. Formisano, D. Prvulovic, C. Roeder, D. Linden (2004)
Functional connectivity as revealed by spatial independent component analysis of fMRI measurements during restHuman Brain Mapping, 22
B. Pareigis (1970)
Categories and FunctorsPure and Applied Mathematics
(2005)
Cerebral Cortex doi:10.1093/cercor/bhi129 Mistaking a House for a Face: Neural Correlates of Misperception in Healthy Humans
J. Taube (2009)
Head direction cellsScholarpedia, 4
J. O’Keefe, L. Nadel (1978)
The Hippocampus as a Cognitive Map
R. Goodrich (1988)
GOODMAN ON REPRESENTATION AND RESEMBLANCEBritish Journal of Aesthetics, 28
H. Haken (1983)
Synergetics: An Introduction
C. Wernicke (1969)
The Symptom Complex of Aphasia
T. Hafting, M. Fyhn, S. Molden, M. Moser, E. Moser (2005)
Microstructure of a spatial map in the entorhinal cortexNature, 436
Yong He, Z. Chen, Alan Evans (2007)
Small-world anatomical networks in the human brain revealed by cortical thickness from MRI.Cerebral cortex, 17 10
W. Rall (2011)
Core Conductor Theory and Cable Properties of NeuronsComprehensive Physiology
D. Walter (1975)
Mass action in the nervous system
D. Aur (2012)
From Neuroelectrodynamics to Thinking MachinesCognitive Computation, 4
H. Haken, C. Peper, P. Beek, A. Daffertshofer (1996)
A model for phase transitions in human hand movements during multifrequency tappingPhysica D: Nonlinear Phenomena, 90
K. Strange (2005)
The end of "naive reductionism": rise of systems biology or renaissance of physiology?American journal of physiology. Cell physiology, 288 5
S. Phillips, W. Wilson (2010)
Categorial Compositionality: A Category Theory Explanation for the Systematicity of Human CognitionPLoS Computational Biology, 6
E. Moser, E. Kropff, M. Moser (2008)
Place cells, grid cells, and the brain's spatial representation system.Annual review of neuroscience, 31
B. Hutcheon, Y. Yarom (2000)
Resonance, oscillation and the intrinsic frequency preferences of neuronsTrends in Neurosciences, 23
K. Lashley, G. Clark (1946)
The cytoarchitecture of the cerebral cortex of ateles: A critical examination of architectonic studiesJournal of Comparative Neurology, 85
S. Dehaene (2007)
A Few Steps Toward a Science of Mental LifeMind, Brain, and Education, 1
M. Miłkowski, K. Talmont-kaminski (2013)
Regarding the Mind, Naturally: Naturalist Approaches to the Sciences of the Mental
J. Fodor, Z. Pylyshyn (1988)
Connectionism and cognitive architecture: A critical analysisCognition, 28
Chaoming Song, S. Havlin, H. Makse (2005)
Self-similarity of complex networksNature, 433
H. Haken (2006)
Synergetics of brain function.International journal of psychophysiology : official journal of the International Organization of Psychophysiology, 60 2
H. Helmholtz, J. Southall (1962)
Treatise on Physiological Optics
C. Shannon (1950)
The mathematical theory of communication
H. Markram (2006)
The Blue Brain ProjectNature Reviews Neuroscience, 7
Yael Artzy‐Randrup, S. Fleishman, N. Ben-Tal, L. Stone (2004)
Comment on "Network Motifs: Simple Building Blocks of Complex Networks" and "Superfamilies of Evolved and Designed Networks"Science, 305
Jeffrey Travers, S. Milgram (1969)
An Experimental Study of the Small World Problem, 32
Sisir Roy, R. Llinás (2008)
Dynamic geometry, brain function modeling, and consciousness.Progress in brain research, 168
R. Salvador, M. Anguera, J. Gomar, E. Bullmore, E. Pomarol-Clotet (2010)
Conditional Mutual Information Maps as Descriptors of Net Connectivity Levels in the BrainFrontiers in Neuroinformatics, 4
A. Borst, F. Theunissen (1999)
Information theory and neural codingNature Neuroscience, 2
M. Abeles (1991)
Corticonics: Neural Circuits of Cerebral Cortex
J. Feldman, G. Lakoff, David Bailey, S. Narayanan, T. Regier, A. Stolcke (1996)
L0-The first five years of an automated language acquisition projectArtificial Intelligence Review, 10
B. Bollobás (1984)
The evolution of random graphsTransactions of the American Mathematical Society, 286
Lorena Deuker, E. Bullmore, Marie Smith, S. Christensen, P. Nathan, B. Rockstroh, D. Bassett (2009)
Reproducibility of graph metrics of human brain functional networksNeuroImage, 47
O. Sporns, Jonathan Zwi (2007)
The small world of the cerebral cortexNeuroinformatics, 2
E. Rolls (2007)
Memory, Attention, and Decision-Making: A unifying computational neuroscience approach
A. Wagner (2005)
Robustness and Evolvability in Living Systems
S. Cook (1971)
The complexity of theorem-proving proceduresProceedings of the third annual ACM symposium on Theory of computing
W. Gerstner, W. Kistler (2002)
Spiking Neuron Models
P. Ingram, M. Stumpf, J. Stark (2006)
Network motifs: structure does not determine functionBMC Genomics, 7
B. Widom, J. Rowlinson (1970)
New Model for the Study of Liquid–Vapor Phase TransitionsJournal of Chemical Physics, 52
T. Gowers (2008)
Princeton companion to mathematics
G. Moore, D. Perkel, J. Segundo (1966)
Statistical analysis and functional interpretation of neuronal spike data.Annual review of physiology, 28
Yair Neuman, Ophir Nave (2008)
On the Semio-Mathematical Nature of CodesBiosemiotics, 1
S. Wiener (1993)
Spatial and behavioral correlates of striatal neurons in rats performing a self-initiated navigation task, 13
R. Thom (1988)
Esquisse d'une sémiophysique
V. Latora, Massimo Marchiori (2001)
Efficient behavior of small-world networks.Physical review letters, 87 19
P. Saunders (1986)
Theoretical Biology and Complexity : Robert Rosen, Editor, Academic Press, New York, 1985, 210 pp., $55.00Bellman Prize in Mathematical Biosciences, 81
P. Rodríguez (2009)
Neural decoding of goal locations in spatial navigation in humans with fMRIHuman Brain Mapping, 31
E. Tolman (1948)
Cognitive maps in rats and men.Psychological review, 55 4
Ernst Forum, C. Malsburg, W. Phillips, W. Singer (2010)
Dynamic coordination in the brain : from neurons to mind
R. Rosen (2006)
Autobiographical Reminiscences of Robert RosenAxiomathes, 16
P. Teller (2001)
Twilight Of The Perfect Model ModelErkenntnis, 55
A. Bell, T. Sejnowski (1995)
An Information-Maximization Approach to Blind Separation and Blind DeconvolutionNeural Computation, 7
U. Alon, M. Surette, N. Barkai, S. Leibler (1999)
Robustness in bacterial chemotaxisNature, 397
W. Liao, Zhiqiang Zhang, Zhengyong Pan, D. Mantini, Jurong Ding, Xujun Duan, C. Luo, G. Lu, Huafu Chen (2010)
Altered Functional Connectivity and Small-World in Mesial Temporal Lobe EpilepsyPLoS ONE, 5
J. White, Erica Southgate, J. Thomson, S. Brenner (1986)
The structure of the nervous system of the nematode Caenorhabditis elegans.Philosophical transactions of the Royal Society of London. Series B, Biological sciences, 314 1165
N. Koblitz (1988)
A tale of three equations; or the emperors have no clothesThe Mathematical Intelligencer, 10
J. Schnakenberg (1978)
G. Nicolis und I. Prigogine: Self‐Organization in Nonequilibrium Systems. From Dissipative Structures to Order through Fluctuations. J. Wiley & Sons, New York, London, Sydney, Toronto 1977. 491 Seiten, Preis: £ 20.–, $ 34.–, 82
N. Burgess, M. Recce, J. O’Keefe (1994)
A model of hippocampal functionNeural Networks, 7
G. Dragoi, S. Tonegawa (2011)
Preplay of future place cell sequences by hippocampal cellular assembliesNature, 469
C. Shannon (1948)
A mathematical theory of communicationBell Syst. Tech. J., 27
A. Prinz, Dirk Bucher, E. Marder (2004)
Similar network activity from disparate circuit parametersNature Neuroscience, 7
R. Muller, J. Kubie, J. Ranck (1987)
Spatial firing patterns of hippocampal complex-spike cells in a fixed environment, 7
C. Swoyer (1991)
Structural representation and surrogative reasoningSynthese, 87
E. Jaynes (1957)
Information Theory and Statistical MechanicsPhysical Review, 106
J. Gómez-Ramírez, R. Sanz (2013)
On the limitations of standard statistical modeling in biological systems: a full Bayesian approach for biology.Progress in biophysics and molecular biology, 113 1
Karl Friston, C. Price (2011)
Modules and brain mappingCognitive Neuropsychology, 28
I. Breskin, J. Soriano, E. Moses, Tsvi Tlusty (2006)
Percolation in living neural networks.Physical review letters, 97 18
L. Steels (2006)
Experiments on the emergence of human communicationTrends in Cognitive Sciences, 10
E. Ravasz, A. Somera, D. Mongru, Z. Oltvai, A. Barabási (2002)
Hierarchical Organization of Modularity in Metabolic NetworksScience, 297
M. Bunge (1979)
Some topical problems in biophilosophyJournal of Social and Biological Systems, 2
E. Schrödinger (1946)
What is life? : the physical aspect of the living cell
L. Smolin (2003)
The self–organization of space and timePhilosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 361
Kaustubh Supekar, V. Menon, D. Rubin, M. Musen, M. Greicius (2008)
Network Analysis of Intrinsic Functional Brain Connectivity in Alzheimer's DiseasePLoS Computational Biology, 4
Yong Liu, M. Liang, Yuan Zhou, Yong He, Yihui Hao, Ming Song, Chunshui Yu, Haihong Liu, Zhening Liu, T. Jiang (2008)
Disrupted small-world networks in schizophrenia.Brain : a journal of neurology, 131 Pt 4
S. Salthe (2009)
A Hierarchical Framework for Levels of Reality: Understanding Through RepresentationAxiomathes, 19
S. Awodey (2006)
Category Theory
S. Lane (1985)
Mathematics, Form and Function
S. Harnad (1990)
Symbol grounding problemScholarpedia, 2
H. Kitano (2002)
Looking beyond the details: a rise in system-oriented approaches in genetics and molecular biologyCurrent Genetics, 41
H. Eichenbaum (2002)
The Cognitive Neuroscience of Memory
S. Mizumori (2008)
Hippocampal place fields : relevance to learning and memory
M. Fox, M. Raichle (2007)
Spontaneous fluctuations in brain activity observed with functional magnetic resonance imagingNature Reviews Neuroscience, 8
F. Silva, W. Blanes, S. Kalitzin, J. Parra, P. Suffczynski, D. Velis (2003)
Epilepsies as Dynamical Diseases of Brain Systems: Basic Models of the Transition Between Normal and Epileptic ActivityEpilepsia, 44
U. Alon (2007)
Network motifs: theory and experimental approachesNature Reviews Genetics, 8
N. Rashevsky (1967)
Organismic sets: Outline of a general theory of biological and social organismsBulletin of Mathematical Biology, 29
William Faris (2000)
Philosophy of Mathematics : An Introduction to the World of Proofs and Pictures
Luciano Costa, F. Silva (2004)
Hierarchical Characterization of Complex NetworksJournal of Statistical Physics, 125
P. Dayan, L. Abbott (2001)
Theoretical Neuroscience: Computational and Mathematical Modeling of Neural Systems
P. Nunez, S. Williamson (1995)
Neocortical Dynamics and Human EEG Rhythms
D. Cordes, V. Haughton, K. Arfanakis, J. Carew, P. Turski, C. Moritz, M. Quigley, M. Meyerand (2001)
Frequencies contributing to functional connectivity in the cerebral cortex in "resting-state" data.AJNR. American journal of neuroradiology, 22 7
D. Dalen (1997)
How connected is the intuitionistic continuum?Journal of Symbolic Logic, 62
S. Stich, T. Warfield (2003)
Blackwell Guide to the Philosophy of Mind
John Taylor (1999)
Towards the networks of the brain: from brain imaging to consciousnessNeural networks : the official journal of the International Neural Network Society, 12 7-8
W. Freeman (2008)
A pseudo-equilibrium thermodynamic model of information processing in nonlinear brain dynamicsNeural networks : the official journal of the International Neural Network Society, 21 2-3
A. Ehresmann (1997)
Colimits in free categories, 37
C. Beckmann, Marilena DeLuca, J. Devlin, Stephen Smith (2005)
Investigations into resting-state connectivity using independent component analysisPhilosophical Transactions of the Royal Society B: Biological Sciences, 360
(2004)
Making Things Happen: A Theory of Causal Explanation
Thomas Wills, C. Lever, F. Cacucci, N. Burgess, J. O’Keefe (2005)
Attractor Dynamics in the Hippocampal Representation of the Local EnvironmentScience, 308
Karl Friston (2001)
Book Review: Brain Function, Nonlinear Coupling, and Neuronal TransientsThe Neuroscientist, 7
Y. Manor, J. Rinzel, Idan Segev, Y. Yarom (1997)
Low-amplitude oscillations in the inferior olive: a model based on electrical coupling of neurons with heterogeneous channel densities.Journal of neurophysiology, 77 5
M. Golubitsky, Ian Stewart, P. Buono, J. Collins (1999)
Symmetry in locomotor central pattern generators and animal gaitsNature, 401
J. Collins, J. Collins, I. Stewart (1993)
Coupled nonlinear oscillators and the symmetries of animal gaitsJournal of Nonlinear Science, 3
E. Landry (1999)
Category Theory: The Language of MathematicsPhilosophy of Science, 66
Agnieszka Czaplicka, J. Hołyst, P. Sloot (2013)
Noise enhances information transfer in hierarchical networksScientific Reports, 3
A. Pellionisz, R. Llinás (1985)
Tensor network theory of the metaorganization of functional geometries in the central nervous systemNeuroscience, 16
Jenny Davie, Maarten Kole, Johannes Letzkus, E. Rancz, N. Spruston, G. Stuart, M. Häusser (2006)
Dendritic patch-clamp recordingNature Protocols, 1
J. Velazquez (2005)
Brain, behaviour and mathematics: Are we using the right approaches?Physica D: Nonlinear Phenomena, 212
Ichiro Tsuda (2003)
Commentary on the target paper by Ichiro Tsuda: TOWARDS AN INTERPRETATION OF DYNAMIC NEURAL ACTIVITY IN TERMS OF CHAOTIC DYNAMICAL SYSTEMS
James Stone (2002)
Independent component analysis: an introductionTrends in Cognitive Sciences, 6
G. Tononi, O. Sporns, G. Edelman (1994)
A measure for brain complexity: relating functional segregation and integration in the nervous system.Proceedings of the National Academy of Sciences of the United States of America, 91 11
G. Blasdel, G. Salama (1986)
Voltage-sensitive dyes reveal a modular organization in monkey striate cortexNature, 321
M. Gazzaniga, Emilio Bizzi (2000)
The new cognitive neurosciences
Mark Fuhs, D. Touretzky (2006)
A Spin Glass Model of Path Integration in Rat Medial Entorhinal CortexThe Journal of Neuroscience, 26
M. Vaessen, Paul Hofman, H. Tijssen, H. Tijssen, A. Aldenkamp, J. Jansen, J. Jansen, W. Backes (2010)
The effect and reproducibility of different clinical DTI gradient sets on small world brain connectivity measuresNeuroImage, 51
F. Yıldırım, L. Sarıkçıoğlu (2007)
Marie Jean Pierre Flourens (1794–1867): an extraordinary scientist of his timeJournal of Neurology, Neurosurgery & Psychiatry, 78
D. Luce (1995)
Four tensions concerning mathematical modeling in psychology.Annual review of psychology, 46
R. Wille, U. Wille (1993)
On the controversy over Huntington's equations: When are such equations meaningful?Mathematical Social Sciences, 25
M. Newman (2006)
Modularity and community structure in networks.Proceedings of the National Academy of Sciences of the United States of America, 103 23
Complex Systems: Chaos and Beyond is co-authored by scientist Kunihiko
A. Ehresmann, J. Vanbremeersch (2006)
The Memory Evolutive Systems as a Model of Rosen’s Organisms – (Metabolic, Replication) SystemsAxiomathes, 16
L. Costa, F. Rodrigues, G. Travieso, P. Boas (2005)
Characterization of complex networks: A survey of measurementsAdvances in Physics, 56
S. Achard, R. Salvador, Brandon Whitcher, J. Suckling, E. Bullmore (2006)
A Resilient, Low-Frequency, Small-World Human Brain Functional Network with Highly Connected Association Cortical HubsThe Journal of Neuroscience, 26
G. Stelmach, J. Vroom (1998)
Advances in Psychology.Canadian Medical Association journal, 11 11
R. Gatenby, P. Maini (2003)
Mathematical oncology: Cancer summed upNature, 421
J. O’Keefe, J. Dostrovsky (1971)
The hippocampus as a spatial map. Preliminary evidence from unit activity in the freely-moving rat.Brain research, 34 1
L. Domínguez, R. Wennberg, W. Gaetz, D. Cheyne, O. Snead, J. Velazquez (2005)
Enhanced Synchrony in Epileptiform Activity? Local versus Distant Phase Synchronization in Generalized SeizuresThe Journal of Neuroscience, 25
Karl Friston (2009)
Modalities, Modes, and Models in Functional NeuroimagingScience, 326
(2008)
Cerebral Cortex doi:10.1093/cercor/bhm211 Identification of Genetically Mediated Cortical Networks: A Multivariate Study of Pediatric Twins and Siblings
Zippora Arzi-Gonczarowski, D. Lehmann (1998)
From Environments to Representations - A Mathematical Theory of Artificial PerceptionsArtif. Intell., 102
Olaf Sporns, Giulio Tononi, Gerald Edelman (1991)
Modeling perceptual grouping and figure-ground segregation by means of active reentrant connections.Proceedings of the National Academy of Sciences of the United States of America, 88 1
Kaustubh Supekar, M. Musen, V. Menon (2009)
Development of Large-Scale Functional Brain Networks in ChildrenPLoS Biology, 7
C. Eliasmith (2005)
A Unified Approach to Building and Controlling Spiking Attractor NetworksNeural Computation, 17
E. Haskell, D. Nykamp, D. Tranchina, D. Tranchina, D. Tranchina (2001)
A population density method for large-scale modeling of neuronal networks with realistic synaptic kineticsNeurocomputing, 38-40
H. Gehman, H. Weyl (1950)
Philosophy of Mathematics and Natural SciencePhilosophy and Phenomenological Research, 11
G. Grant (2007)
How the 1906 Nobel Prize in Physiology or Medicine was shared between Golgi and CajalBrain Research Reviews, 55
Andrew Ahn, M. Tewari, C. Poon, R. Phillips (2006)
The Limits of Reductionism in Medicine: Could Systems Biology Offer an Alternative?PLoS Medicine, 3
R. Rosen (1985)
3 – Organisms as Causal Systems Which Are Not Mechanisms: An Essay into the Nature of Complexity
F. Bonsignorio (2010)
On the Stochastic Stability and Observability of Controlled Serial Kinematic Chains
J. Petitot, F. Varela, B. Pachoud, Jean-Michel Roy (1999)
Naturalizing Phenomenology: Issues in Contemporary Phenomenology and Cognitive Science
D. Touretzky, A. Redish (1996)
Theory of rodent navigation based on interacting representations of spaceHippocampus, 6
M. Raichle (2010)
Two views of brain functionTrends in Cognitive Sciences, 14
de Rezende, Antonio Muniz (1975)
Le point de départ dans la philosophie de Merleau-PontyRevue Philosophique de Louvain, 73
G. Schöner, J. Kelso (1988)
Dynamic pattern generation in behavioral and neural systems.Science, 239 4847
R. Milo, S. Shen-Orr, S. Itzkovitz, N. Kashtan, D. Chklovskii, U. Alon (2002)
Network motifs: simple building blocks of complex networks.Science, 298 5594
T. Kuhn, David Hawkins (1963)
The Structure of Scientific RevolutionsAmerican Journal of Physics, 31
Yong He, A. Evans (2010)
Graph theoretical modeling of brain connectivity.Current opinion in neurology, 23 4
P. Arnold, J. Serafy, M. Clarke, D. Schultz (1996)
An immunological study of predation on hatchery-reared, juvenile red drum (Sciaenops ocellatus, Linnaeus): description of an ELISA and predator-prey studies in natureJournal of Experimental Marine Biology and Ecology, 199
S. Miyashita, M. Imada, H. Takayama (1992)
Computational Approaches in Condensed-Matter Physics
M. Healy (2000)
Category theory applied to neural modeling and graphical representationsProceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks. IJCNN 2000. Neural Computing: New Challenges and Perspectives for the New Millennium, 3
E. Schutter (2008)
Why Are Computational Neuroscience and Systems Biology So Separate?PLoS Comput. Biol., 4
E. Landry (2006)
Category Theory as a Framework for an in re Interpretation of Mathematical Structuralism
Elad Schneidman, Michael Berry, R. Segev, W. Bialek (2005)
Weak pairwise correlations imply strongly correlated network states in a neural populationNature, 440
J. Acebrón, L. Bonilla, C. Vicente, F. Ritort, R. Spigler (2005)
The Kuramoto model: A simple paradigm for synchronization phenomenaReviews of Modern Physics, 77
J. Hamburger (2008)
Some General Considerations
J. Lichtman, J. Livet, J. Sanes (2008)
A technicolour approach to the connectomeNature Reviews Neuroscience, 9
J. O’Keefe (1991)
An allocentric spatial model for the hippocampal cognitive mapHippocampus, 1
J. Derrida, É. Roudinesco (2004)
For what tomorrow : a dialogue
A. Boehlen, U. Heinemann, I. Erchova (2010)
The Range of Intrinsic Frequencies Represented by Medial Entorhinal Cortex Stellate Cells Extends with AgeThe Journal of Neuroscience, 30
R. Giere (1991)
Explaining Science: A Cognitive Approach
F. Varela, J. Lachaux, E. Rodriguez, J. Martinerie (2001)
The brainweb: Phase synchronization and large-scale integrationNature Reviews Neuroscience, 2
A. Clauset, C. Shalizi, M. Newman (2007)
Power-Law Distributions in Empirical DataSIAM Rev., 51
P. Nunez (2000)
Toward a quantitative description of large-scale neocortical dynamic function and EEGBehavioral and Brain Sciences, 23
F. Ramus (2006)
Genes, brain, and cognition: A roadmap for the cognitive scientistCognition, 101
M. Girvan, M. Newman (2001)
Community structure in social and biological networksProceedings of the National Academy of Sciences of the United States of America, 99
Tao Blockindeng
See Blockindiscussions, Blockinstats, Blockinand Blockinauthor Blockinprofiles Blockinfor Blockinthis Blockinpublication
J. Changeux, A. Connes (1990)
Matière à pensée
Earl Cormac, Maxim Stamenov (1996)
Fractals of Brain, Fractals of Mind: In Search of a Symmetry Bond
M. Jung, S. Wiener, B. Mcnaughton (1994)
Comparison of spatial firing characteristics of units in dorsal and ventral hippocampus of the rat, 14
J. Letelier, J. Soto‐Andrade, Flavio Abarzúa, A. Cornish-Bowden, María Cárdenas (2006)
Organizational invariance and metabolic closure: analysis in terms of (M,R) systems.Journal of theoretical biology, 238 4
E. Jones, L. Mendell (1999)
Assessing the Decade of the BrainScience, 284
A. Babloyantz, A. Destexhe (1986)
Low-dimensional chaos in an instance of epilepsy.Proceedings of the National Academy of Sciences of the United States of America, 83 10
P. Rakic (1995)
Radial versus tangential migration of neuronal clones in the developing cerebral cortex.Proceedings of the National Academy of Sciences of the United States of America, 92 25
R. Carnap (1967)
The logical structure of the world & pseudoproblems in philosophy
J. Macnamara, G. Reyes (1994)
The Logical Foundations of Cognition
J. Smith, H. Ellenberger, K. Ballanyi, D. Richter, J. Feldman (1991)
Pre-Bötzinger complex: a brainstem region that may generate respiratory rhythm in mammals.Science, 254 5032
A. Herz, T. Gollisch, C. Machens, D. Jaeger (2006)
Modeling Single-Neuron Dynamics and Computations: A Balance of Detail and AbstractionScience, 314
J. Holland (1997)
Emergence.Philosophica
A. Redish (2001)
The hippocampal debate: are we asking the right questions?Behavioural Brain Research, 127
P. Churchland (1989)
Neurophilosophy: Toward a Unified Science of the Mind-Brain
Walter Freeman, Walter Schneider (1982)
Changes in spatial patterns of rabbit olfactory EEG with conditioning to odors.Psychophysiology, 19 1
David Spivak (2011)
Ologs: A Categorical Framework for Knowledge RepresentationPLoS ONE, 7
J. Gómez-Ramírez, R. Sanz (2012)
What the Escherichia Coli Tells Neurons about Learning
L. Baeten, J. Reumers, V. Tur, F. Stricher, T. Lenaerts, L. Serrano, F. Rousseau, J. Schymkowitz (2008)
Reconstruction of Protein Backbones from the BriX Collection of Canonical Protein FragmentsPLoS Computational Biology, 4
F. Mazzocchi (2008)
Complexity in biologyEMBO reports, 9
E. Izhikevich (2006)
Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting
Idan Segev, M. London (2000)
Untangling dendrites with quantitative models.Science, 290 5492
P. Comon (1994)
Independent component analysis, A new concept?Signal Process., 36
Robert Wilson, F. Keil (2000)
Book Reviews: The MIT Encyclopedia of the Cognitive SciencesComputational Linguistics, 26
W. Freeman (2000)
Neurodynamics: An Exploration in Mesoscopic Brain Dynamics
W. McCulloch, W. Pitts (1990)
A logical calculus of the ideas immanent in nervous activityBulletin of Mathematical Biology, 52
M. Steriade, L. Domich, G. Oakson, M. Deschenes (1987)
The deafferented reticular thalamic nucleus generates spindle rhythmicity.Journal of neurophysiology, 57 1
C. Smith (2008)
Elementary units of cortical activity? The rise and fall of the cortical column
J. Adámek, H. Gumm, V. Trnková (2010)
Presentation of Set Functors: A Coalgebraic PerspectiveJ. Log. Comput., 20
E. Rosch, C. Mervis (1975)
Family resemblances: Studies in the internal structure of categoriesCognitive Psychology, 7
S. Huntington (1969)
Political Order in Changing Societies
J. Whitacre, A. Bender (2009)
Degeneracy: a design principle for achieving robustness and evolvability.Journal of theoretical biology, 263 1
H. Mizoguchi (1996)
On The Second Quartet"East Coker"IN"Four Quartets"BY T.S.Eliot
J. Searle (1980)
Minds, brains, and programsBehavioral and Brain Sciences, 3
M. Arbib, M. Hesse (1986)
The construction of reality
D. Chalmers (2007)
Consciousness and its Place in Nature
R. Giere (1999)
Science without laws
A. Sokal, J. Bricmont, N. Mermin (1997)
Fashionable Nonsense: Postmodern Intellectuals' Abuse of Science
Shimon Edelman (1998)
Representation is representation of similaritiesBehavioral and Brain Sciences, 21
W. Seeley, Richard Crawford, Juan Zhou, B. Miller, M. Greicius (2009)
Neurodegenerative Diseases Target Large-Scale Human Brain NetworksNeuron, 62
S. Standring (2015)
Gray's Anatomy: The Anatomical Basis of Clinical Practice
S. Awodey (1996)
Structure in Mathematics and Logic: A Categorical PerspectivePhilosophia Mathematica, 4
D. Sharp, Malaka Awad, J. Warren, R. Wise, G. Vigliocco, S. Scott (2009)
The neural response to changing semantic and perceptual complexity during language processingHuman Brain Mapping, 31
O. Sporns, R. Kötter (2004)
Motifs in Brain NetworksPLoS Biology, 2
I. Băianu, Ronald Brown, J. Glazebrook (2007)
Categorical Ontology of Complex Spacetime Structures: The Emergence of Life and Human ConsciousnessAxiomathes, 17
J. Kendrew (1961)
The three-dimensional structure of a protein molecule.Scientific American, 205
Lee Nichol (2002)
The Essential David Bohm
A. Wagner (2000)
Robustness against mutations in genetic networks of yeastNature Genetics, 24
M. Bunge (2003)
Emergence and Convergence: Qualitative Novelty and the Unity of Knowledge
Karl Friston (1998)
Modes or models: a critique on independent component analysis for fMRITrends in Cognitive Sciences, 2
S. Eilenberg, S. Maclane (1945)
General theory of natural equivalencesTransactions of the American Mathematical Society, 58
T. Dalton (2005)
Challenging philosophical assumptions about mind John Searle Mind: A Brief IntroductionTrends in Cognitive Sciences, 9
S. Phillips, W. Wilson, G. Halford (2009)
What Do Transitive Inference and Class Inclusion Have in Common? Categorical (Co)Products and Cognitive DevelopmentPLoS Computational Biology, 5
P. Cohen (2005)
If Not Turing's Test, Then What?AI Mag., 26
G. Buzsáki (2010)
Neural Syntax: Cell Assemblies, Synapsembles, and ReadersNeuron, 68
M. Shanahan (1997)
Solving the frame problem - a mathematical investigation of the common sense law of inertia
R. Shiffrin (2010)
Perspectives on Modeling in Cognitive ScienceTopics in cognitive science, 2 4
J. Kleinberg (2000)
Navigation in a small worldNature, 406
Jaime Gómez, R. Sanz (2009)
To Cognize Is to Categorize Revisited: Category Theory Is where Mathematics Meets Biology
P. L'héritier, L. Broglie (1954)
Physique et biologie
J. Gómez-Ramírez (2012)
Comments on Aur’s “From Neuroelectrodynamics to Thinking Machines”Cognitive Computation, 4
R. Albert, Hawoong Jeong, A. Barabási (1999)
Internet: Diameter of the World-Wide WebNature, 401
Idan Segev (2006)
What do dendrites and their synapses tell the neuron?Journal of neurophysiology, 95 3
P. Bressloff (1994)
A Green's function approach to analysing the effects of random synaptic background activity in a model neural networkJournal of Physics A, 27
C. Craver (2006)
When mechanistic models explainSynthese, 153
N. Koblitz (1981)
Mathematics as Propaganda
F. Hoppensteadt, E. Izhikevich (1997)
Weakly connected neural networks
S. Shapiro (1996)
Space, Number and Structure: A Tale of Two DebatestPhilosophia Mathematica, 4
L. Corry, Thomas Drucker (1996)
Recensioni/Reviews-Modern Algebra and the Rise of Mathematical Structures
C. Granger (1969)
Investigating causal relations by econometric models and cross-spectral methods
G. Birkhoff, S. Lane (1942)
A survey of modern algebra
K. Kaneko (1992)
Simulating Spatiotemporal Chaos with Coupled Map Lattices
M. Stumpf, M. Porter (2012)
Critical Truths About Power LawsScience, 335
J. Fiadeiro (2005)
Categories for software engineering
S. Lane (1971)
Categories for the Working Mathematician
O. Fiehn (2001)
Combining Genomics, Metabolome Analysis, and Biochemical Modelling to Understand Metabolic NetworksComparative and Functional Genomics, 2
P. Hell, J. Nesetril (2004)
Graphs and homomorphisms, 28
M. Fyhn, S. Molden, M. Witter, E. Moser, M. Moser (2004)
Spatial Representation in the Entorhinal CortexScience, 305
S. Lee (2009)
Systems biology and biotechnology of escherichia coli
W. Bechtel (2001)
The Compatibility of Complex Systems and Reduction: A Case Analysis of Memory ResearchMinds and Machines, 11
John Beggs, D. Plenz (2003)
Neuronal Avalanches in Neocortical CircuitsThe Journal of Neuroscience, 23
Ronald Brown, T. Porter (2003)
Category Theory and Higher Dimensional Algebra: potential descriptive tools in neuroscience ⁄arXiv: Category Theory
M. McKeown, L. Hansen, Terrence Sejnowsk (2003)
Independent component analysis of functional MRI: what is signal and what is noise?Current Opinion in Neurobiology, 13
G. Edelman, G. Tononi (2001)
Consciousness : how matter becomes imagination
S. Lane, F. Lawvere, S. Schanuel, E. Faro, Fatima Fenaroli, Danilo Lawvere (1997)
Conceptual Mathematics: A First Introduction to Categories
M. Suárez (2003)
Scientific representation: against similarity and isomorphismInternational Studies in the Philosophy of Science, 17
C. Castellano, S. Fortunato, V. Loreto (2007)
Statistical physics of social dynamicsReviews of Modern Physics, 81
S. Solinas, R. Maex, E. Schutter (2006)
Dendritic amplification of inhibitory postsynaptic potentials in a model Purkinje cellEuropean Journal of Neuroscience, 23
J. Gómez-Ramírez, Jinglong Wu (2012)
A new vision for biomedicine: A systems approach2012 ICME International Conference on Complex Medical Engineering (CME)
J. Velazquez (2007)
Brain Research: A Perspective from the Coupled Oscillators FieldNeuroquantology, 4
E. Bullmore, O. Sporns (2009)
Complex brain networks: graph theoretical analysis of structural and functional systemsNature Reviews Neuroscience, 10
N. Rashevsky (1968)
Organismic sets. II. Some general considerations.The Bulletin of mathematical biophysics, 30 1
J. Hopfield (1982)
Neural networks and physical systems with emergent collective computational abilities.Proceedings of the National Academy of Sciences of the United States of America, 79 8
E. Niebur (2008)
Neuronal cable theoryScholarpedia, 3
U. Di, Roma, La Sapienza, Nuovo Di, Lu--M Griniasty, M. Tsodyks, Daniel Infn, Sezione Di (1999)
Conversion of Temporal Correlations Between Stimuli to Spatial Correlations Between AttractorsNeural Computation, 5
Marcus Kaiser, R. Martin, Péter András, M. Young (2007)
Simulation of robustness against lesions of cortical networksEuropean Journal of Neuroscience, 25
S. Strogatz, I. Stewart (1993)
Coupled oscillators and biological synchronization.Scientific American, 269 6
G. Ermentrout (1997)
Dynamic patterns: The self-organization of brain and behaviorBulletin of Mathematical Biology
E. Nagel (1961)
The structure of science : problems in the logic of scientific explanationAmerican Sociological Review, 26
Dongyang Zhang, M. Raichle (2010)
Disease and the brain's dark energyNature Reviews Neurology, 6
B. McNaughton, C. Barnes, J. Gerrard, K. Gothard, M. Jung, J. Knierim, H. Kudrimoti, Yu Qin, W. Skaggs, M. Suster, K. Weaver (1996)
Deciphering the hippocampal polyglot: the hippocampus as a path integration system.The Journal of experimental biology, 199 Pt 1
F. Attneave, M. B., D. Hebb (1949)
The Organization of Behavior: A Neuropsychological Theory
E. Leznik, V. Makarenko, R. Llinás (2002)
Electrotonically Mediated Oscillatory Patterns in Neuronal Ensembles: An In Vitro Voltage-Dependent Dye-Imaging Study in the Inferior OliveThe Journal of Neuroscience, 22
M. Carroll (1970)
The Belknap Press of Harvard University Press
J. Kelso, J. Kelso (2012)
Multistability and metastability: understanding dynamic coordination in the brainPhilosophical Transactions of the Royal Society B: Biological Sciences, 367
P. Maddy (2007)
The logical structure of the world
D. Hubel, T. Wiesel (1977)
Ferrier lecture - Functional architecture of macaque monkey visual cortexProceedings of the Royal Society of London. Series B. Biological Sciences, 198
Yair Neuman, Ophir Nave (2008)
A mathematical theory of sign-mediated concept formationAppl. Math. Comput., 201
P. Hagmann, L. Cammoun, X. Gigandet, R. Meuli, C. Honey, V. Wedeen, O. Sporns (2008)
Mapping the Structural Core of Human Cerebral CortexPLoS Biology, 6
O. David, Karl Friston (2003)
A neural mass model for MEG/EEG: coupling and neuronal dynamicsNeuroImage, 20
E. Bullmore, O. Sporns (2012)
The economy of brain network organizationNature Reviews Neuroscience, 13
C. Giaume, K. McCarthy (1996)
Control of gap-junctional communication in astrocytic networksTrends in Neurosciences, 19
J. Willems (1972)
Dissipative dynamical systems part I: General theoryArchive for Rational Mechanics and Analysis, 45
(2014)
Memory Evolutive Systems; Hierarchy, Emergence, Cognition
S. Finger (1994)
Origins of neuroscience: A history of explorations into brain function.
Till Frank, A. Daffertshofer, C. Peper, P. Beek, H. Haken (2000)
Towards a comprehensive theory of brain activity: coupled oscillator systems under external forcesPhysica D: Nonlinear Phenomena, 144
P. Mahalanobis (1936)
On the generalized distance in statistics, 2
Aapo Hyvärinen, E. Oja (2000)
Independent component analysis: algorithms and applicationsNeural networks : the official journal of the International Neural Network Society, 13 4-5
P. Simeonov (2007)
Integral biomathics: a post-Newtonian view into the logos of bios.Progress in biophysics and molecular biology, 102 2-3
E. Rosch, B. Lloyd (1979)
Cognition and CategorizationAmerican Journal of Psychology, 92
Viorica Marian, Y. Shildkrot, H. Blumenfeld, Margarita Kaushanskaya, Yasmeen Faroqi-Shah, J. Hirsch
Journal of Clinical and Experimental Neuropsychology Cortical Activation during Word Processing in Late Bilinguals: Similarities and Differences as Revealed by Functional Magnetic Resonance Imaging
H. Dreyfus (1978)
What Computers Can't Do: The Limits of Artificial Intelligence
Johannes Knabe, Chrystopher Nehaniv, M. Schilstra (2008)
Do motifs reflect evolved function? - No convergent evolution of genetic regulatory network subgraph topologiesBio Systems, 94 1-2
G. Buzsáki (2006)
Rhythms of the brain
M. Newman (2000)
Models of the Small WorldJournal of Statistical Physics, 101
Shan Yu, Debin Huang, W. Singer, D. Nikolić (2008)
A Small World of Neuronal SynchronyCerebral Cortex (New York, NY), 18
Wolfgang Demtröder (2020)
Nonlinear dynamics and chaosGrowing Explanations
P. Andersen, R. Morris, D. Amaral, T. Bliss, J. O’Keefe (2006)
The Hippocampus Book
J. Taube (1995)
Head direction cells recorded in the anterior thalamic nuclei of freely moving rats, 15
W. Freeman, R. Kozma (2010)
Freeman's mass actionScholarpedia, 5
J. Fuster (2003)
Cortex and mind : unifying cognition
P. Rakic (2000)
Radial unit hypothesis of neocortical expansion.Novartis Foundation symposium, 228
R. Shepard, S. Chipman (1970)
Second-order isomorphism of internal representations: Shapes of states ☆Cognitive Psychology, 1
J. Knight (2002)
Physics meets biology: Bridging the culture gapNature, 419
J. Feldman (2006)
From Molecule to Metaphor - A Neural Theory of Language
C. Meunier, Idan Segev (2002)
Playing the Devil's advocate: is the Hodgkin–Huxley model useful?Trends in Neurosciences, 25
D. Chalmers (1995)
Facing Up to the Problem of Consciousness
L. Skyttner (2006)
General Systems Theory: Problems, Perspectives, Practice
H. Putnam (1981)
Reason, Truth and History: Contents
M. Dyer, Catherine Greenhill (2000)
The complexity of counting graph homomorphisms (extended abstract)
D'arcy Thompson
On Growth and FormNature, 100
V. Makarenko, Rodolfo Llinás (1998)
Experimentally determined chaotic phase synchronization in a neuronal system.Proceedings of the National Academy of Sciences of the United States of America, 95 26
S. Bressler, E. Tognoli (2006)
Operational principles of neurocognitive networks.International journal of psychophysiology : official journal of the International Organization of Psychophysiology, 60 2
S. Salthe (2004)
The Spontaneous Origin of New Levels in a Scalar HierarchyEntropy, 6
G. Deco, Viktor Jirsa, P. Robinson, M. Breakspear, Karl Friston (2008)
The Dynamic Brain: From Spiking Neurons to Neural Masses and Cortical FieldsPLoS Computational Biology, 4
A. Winfree (1991)
The geometry of biological time
Karl Friston, C. Frith, P. Liddle, R. Frackowiak (1993)
Functional Connectivity: The Principal-Component Analysis of Large (PET) Data SetsJournal of Cerebral Blood Flow & Metabolism, 13
W. Scoville, B. Milner (1957)
LOSS OF RECENT MEMORY AFTER BILATERAL HIPPOCAMPAL LESIONSJournal of Neurology, Neurosurgery & Psychiatry, 20
A. Seth (2008)
Causal networks in simulated neural systemsCognitive Neurodynamics, 2
G. York, D. Steinberg (2011)
Hughlings Jackson's neurological ideas.Brain : a journal of neurology, 134 Pt 10
M. Barr, Charles Wells (1995)
Category theory for computing science
J. Heijenoort (1967)
From Frege to Gödel: A Source Book in Mathematical Logic, 1879-1931
E. Kandel, James Schwartz, Thomas Jessell (1981)
Principles of Neural Science
Sydney Brenner (1999)
Theoretical biology in the third millennium.Philosophical transactions of the Royal Society of London. Series B, Biological sciences, 354 1392
[Biology in the twenty-first century will be for Mathematics what Physics was in nineteenth and twentieth centuries. This is a well accepted belief among scientists with mathematical training. Some physicists can go even further and deplore the pre-Newtonian stage in which biology and in particular neuroscience find themselves (Mazzocchi F, EMBO Rep 9(1):10–14, 2008). Neuroscience is a data-rich field that needs for a theoretical framework that guides the model building and simulation processes. Biology, in opposition to physics which is quantitative and explanatory, may be perceived as a descriptive and qualitative field. However, to state that biology is descriptive and qualitative, while physics is mathematical and quantitative is a dichotomy too simplistic to be true (as all dichotomies usually are). Undoubtedly, biology today is quantitative in either its models and results. It is easily noticeable that in top scientific journals such as Nature or Science, though they are not devoted to any particular field, the studies in the field of biology, specifically molecular biology, are the overwhelming majority of the total of articles. The very dissimilar rate of production that these two prestigious publications display between disciplines other than biology is such, that one starts wondering if the non-life science community has anything left important to say. But the actual reason for this must be found in the scarcity of mathematized universal principles in biology compared to, for example, physics. Physics is built on formal theories embedded in universal laws, rendering particulars and details unnecessary. In biology, on the other hand, particular cases are relevant. Furthermore, variability, non linearity, noise or high dimensionality are biological features hardly generalizable in the standard mathematical forms (Gómez-Ramirez J, Sanz R, Prog Biophys Mol Biol 2013).]
Published: Oct 3, 2013
Keywords: Large Hadron Collider; Category Theory; Brain Science; Associative Neural Network; Biology Today
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.