Coding and learning of chemosensor array patterns in a neurodynamic model of the olfactory system

Coding and Learning of Chemosensor Array Patterns in a Neurodynamic Model of the Olfactory System. (May 2006) Agustin Gutierrez Galvez, B.S.; B.En., Universitat de Barcelona, Spain Chair of Advisory Committee: Dr. Ricardo Gutierrez-Osuna Arrays of broadly-selective chemical sensors, also known as electronic noses, have been developed during the past two decades as a low-cost and high-throughput alternative to analytical instruments for the measurement of odorant chemicals. Signal processing in these gas-sensor arrays has been traditionally performed by means of statistical and neural pattern recognition techniques. The objective of this dissertation is to develop new computational models to process gas sensor array signals inspired by coding and learning mechanisms of the biological olfactory system. We have used a neurodynamic model of the olfactory system, the KIII, to develop and demonstrate four odor processing computational functions: robust recovery of overlapping patterns, contrast enhancement, background suppression, and novelty detection. First, a coding mechanism based on the synchrony of neural oscillations is used to extract information from the associative memory of the KIII model. This temporal code allows the KIII to recall overlapping patterns in a robust manner. Second, a new learning rule that combines Hebbian and anti-Hebbian terms is proposed. This learning rule is shown to achieve contrast iv enhancement on gas-sensor array patterns. Third, a new local learning mechanism based on habituation is proposed to perform odor background suppression. Combining the Hebbian/anti-Hebbian rule and the local habituation mechanism, the KIII is able to suppress the response to continuously presented odors, facilitating the detection of the new ones. Finally, a new learning mechanism based on anti-Hebbian learning is proposed to perform novelty detection. This learning mechanism allows the KIII to detect the introduction of new odors even in the presence of strong backgrounds. The four computational models are characterized with synthetic data and validated on gas sensor array patterns obtained from an e-nose prototype developed for this purpose.

[1]  J.C. Principe,et al.  Simulation of the Freeman model of the olfactory cortex: a quantitative performance analysis for the DSP approach , 2003, Proceedings of the International Joint Conference on Neural Networks, 2003..

[2]  Hebbian Learning in Chaotic Neural Networks , 2007 .

[3]  Ricardo Gutierrez-Osuna,et al.  Habituation in the KIII olfactory model with chemical sensor arrays , 2003, IEEE Trans. Neural Networks.

[4]  P. Dalton Psychophysical and behavioral characteristics of olfactory adaptation. , 2000, Chemical senses.

[5]  W. Precht The synaptic organization of the brain G.M. Shepherd, Oxford University Press (1975). 364 pp., £3.80 (paperback) , 1976, Neuroscience.

[6]  W. Freeman,et al.  Taming chaos: stabilization of aperiodic attractors by noise [olfactory system model] , 1997 .

[8]  Takamichi Nakamoto,et al.  Gas/odor identification by semiconductor gas-sensor array and an analog artificial neural-network circuit , 1992 .

[9]  I. Tsuda,et al.  A New Type of Self-Organization Associated with Chaotic Dynamics in Neural Networks , 1996, Int. J. Neural Syst..

[10]  Udo Weimar,et al.  Gas identification by modulating temperatures of SnO2-based thick film sensors , 1997 .

[11]  James P. Egan,et al.  Signal detection theory and ROC analysis , 1975 .

[12]  J. Hopfield,et al.  Decomposition of a mixture of signals in a model of the olfactory bulb. , 1994, Proceedings of the National Academy of Sciences of the United States of America.

[13]  Walter J. Freeman,et al.  Strange attractors that govern mammalian brain dynamics shown by trajectories of electroencephalographic (EEG) potential , 1988 .

[14]  E. Oja,et al.  Fast adaptive formation of orthogonalizing filters and associative memory in recurrent networks of neuron-like elements , 1976, Biological Cybernetics.

[15]  T. Pearce,et al.  Computational parallels between the biological olfactory pathway and its analogue 'the electronic nose': Part II. Sensor-based machine olfaction. , 1997, Bio Systems.

[16]  S. Nakata,et al.  Gas sensing based on the dynamic nonlinear responses of a semiconductor gas sensor: dependence on the range and frequency of a cyclic temperature change , 1998 .

[17]  Donald L. Rowe Dynamic neural activity as chaotic itinerancy or heteroclinic cycles , 2001 .

[18]  H. Sompolinsky,et al.  Theory of orientation tuning in visual cortex. , 1995, Proceedings of the National Academy of Sciences of the United States of America.

[19]  E. Llobet,et al.  Multicomponent gas mixture analysis using a single tin oxide sensor and dynamic pattern recognition , 2001, IEEE Sensors Journal.

[20]  Jose C. Principe,et al.  Neural and adaptive systems , 2000 .

[21]  Robert Kozma,et al.  Basic principles of the KIV model and its application to the navigation problem. , 2003, Journal of integrative neuroscience.

[22]  T. Nakamoto,et al.  Perfume and flavor identification by odor sensing system using quartz-resonator sensor array and neural-network pattern recognition , 1991, TRANSDUCERS '91: 1991 International Conference on Solid-State Sensors and Actuators. Digest of Technical Papers.

[23]  Walter J. Freeman,et al.  The Creation of Perceptual Meanings in Cortex Through Chaotic Itinerancy and Sequential State Transitions Induced by Sensory Stimuli , 1995 .

[24]  H. T. Nagle,et al.  Handbook of Machine Olfaction , 2002 .

[25]  Masatoshi Shiino,et al.  Oscillator neural network model with distributed native frequencies , 1999 .

[26]  Donald A Wilson,et al.  Olfactory Bulb Mitral-Tufted Cell Plasticity: Odorant-Specific Tuning Reflects Previous Odorant Exposure , 2003, The Journal of Neuroscience.

[27]  G. Laurent,et al.  Encoding of Olfactory Information with Oscillating Neural Assemblies , 1994, Science.

[28]  Y. Hiranaka,et al.  Gas-dependent response in the temperature transient of SnO2 gas sensors☆ , 1992 .

[29]  M W Hirsch,et al.  Computing with dynamic attractors in neural networks. , 1995, Bio Systems.

[30]  W. Freeman Simulation of chaotic EEG patterns with a dynamic model of the olfactory system , 1987, Biological Cybernetics.

[31]  Carlos Lourenço,et al.  Pattern segmentation in a binary/analog world: unsupervised learning versus memory storing , 2000, Neural Networks.

[32]  N. Papamichail,et al.  On-line event detection by recursive Dynamic Principal Component Analysis and gas sensor arrays under drift conditions , 2003, Proceedings of IEEE Sensors 2003 (IEEE Cat. No.03CH37498).

[33]  K. Persaud,et al.  Analysis of discrimination mechanisms in the mammalian olfactory system using a model nose , 1982, Nature.

[34]  Walter J. Freeman,et al.  Local Homeostasis Stabilizes a Model of the Olfactory System Globally in Respect to Perturbations by Input During Pattern Classification , 1998 .

[35]  Stephen Grossberg,et al.  Nonlinear neural networks: Principles, mechanisms, and architectures , 1988, Neural Networks.

[36]  Ying-Cheng Lai,et al.  Capacity of oscillatory associative-memory networks with error-free retrieval. , 2004, Physical review letters.

[37]  Hugues Bersini,et al.  Learning Cycles brings Chaos in Continuous Hopfield Networks , 2005 .

[38]  J S Kauer,et al.  Emergent properties of odor information coding in a representational model of the salamander olfactory bulb , 1992, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[39]  Thomas E. Fuja,et al.  A comparative study of signal processing techniques for clustering microsensor data (a first step towards an artificial nose) , 1997 .

[40]  K Yokoyama,et al.  Detection and evaluation of fragrances by human reactions using a chemical sensor based on adsorbate detection. , 1993, Analytical chemistry.

[41]  Walter J. Freeman,et al.  Optimization of olfactory model in software to give 1/f power spectra reveals numerical instabilities in solutions governed by aperiodic (chaotic) attractors , 1998, Neural Networks.

[42]  Hubertus F.J.M. Koopman,et al.  Contemporary polymer chemistry , 1981 .

[43]  K. R. Kashwan,et al.  Tea quality prediction using a tin oxide-based electronic nose: an artificial intelligence approach , 2003 .

[44]  Tetsuo Aishima,et al.  Discrimination of liquor aromas by pattern recognition analysis of responses from a gas sensor array , 1991 .

[45]  Qing Yang,et al.  Pattern recognition by a distributed neural network: An industrial application , 1991, Neural Networks.

[46]  Péter Érdi,et al.  Chaos and learning in the olfactory bulb , 1995, Int. J. Intell. Syst..

[47]  Kunihiko Kaneko,et al.  Complex Systems: Chaos and Beyond: A Constructive Approach with Applications in Life Sciences , 2000 .

[48]  Isao Karube,et al.  Detection of odorants using lipid-coated piezoelectric crystal resonators , 1989 .

[49]  J. Hopfield,et al.  Modeling the olfactory bulb and its neural oscillatory processings , 1989, Biological Cybernetics.

[50]  Frank C. Hoppensteadt,et al.  Pattern recognition via synchronization in phase-locked loop neural networks , 2000, IEEE Trans. Neural Networks Learn. Syst..

[51]  Eaton Peabody,et al.  As If Time Really Mattered: Temporal Strategies for Neural Coding of Sensory Information , 2018, Origins.

[52]  Takamichi Nakamoto,et al.  Odour-sensing system using a quartz-resonator sensor array and neural-network pattern recognition , 1989 .

[53]  J. Gardner Detection of vapours and odours from a multisensor array using pattern recognition Part 1. Principal component and cluster analysis , 1991 .

[54]  I Lundström,et al.  Artificial 'olfactory' images from a chemical sensor using a light-pulse technique , 1991, Nature.

[55]  R. Axel,et al.  The molecular logic of smell. , 1995, Scientific American.

[56]  P. Jurs,et al.  Detection of hazardous vapors including mixtures using pattern recognition analysis of responses from surface acoustic wave devices. , 1988, Analytical chemistry.

[57]  Sinclair S. Yee,et al.  An integrated array of multiple thin-film metal oxide sensors for quantification of individual components in organic vapor mixtures , 1993 .

[58]  Ricardo Gutierrez-Osuna,et al.  The how and why of electronic noses , 1998 .

[59]  Kazunori Sugahara,et al.  The concentration-estimation of inflammable gases with a semiconductor gas sensor utilizing neural networks and fuzzy inference , 1997 .

[60]  Joel L. Davis,et al.  Olfaction: A Model System for Computational Neuroscience , 1991 .

[61]  David R. Walt,et al.  An olfactory neuronal network for vapor recognition in an artificial nose , 1998, Biological Cybernetics.

[62]  Ricardo Gutierrez-Osuna,et al.  Chemosensory Processing in a Spiking Model of the Olfactory Bulb: Chemotopic Convergence and Center Surround Inhibition , 2004, NIPS.

[63]  Paul F. M. J. Verschure,et al.  Robust Stimulus Encoding in Olfactory Processing: Hyperacuity and Efficient Signal Transmission , 2001, Emergent Neural Computational Architectures Based on Neuroscience.

[64]  Péter Érdi,et al.  The KIV model - nonlinear spatio-temporal dynamics of the primordial vertebrate forebrain , 2003, Neurocomputing.

[65]  Joel White,et al.  Odor recognition in an artificial nose by spatio-temporal processing using an olfactory neuronal network , 1999, Neurocomputing.

[66]  M. Arbib,et al.  Neural Organization: Structure, Function, and Dynamics , 1997 .

[67]  Walter J. Freeman,et al.  Biologically Modeled Noise Stabilizing Neurodynamics for Pattern Recognition , 1998 .

[68]  T. Amamoto,et al.  Development of pulse-drive semiconductor gas sensor , 1993 .

[69]  John Hertz Computing with attractors , 1998 .

[70]  Arnaldo D'Amico,et al.  Self-organizing multisensor systems for odour classification: internal categorization, adaptation and drift rejection , 1994 .

[71]  Gilles Laurent,et al.  Olfactory processing: maps, time and codes , 1997, Current Opinion in Neurobiology.

[72]  Ricardo Gutierrez-Osuna,et al.  Sensor-based machine olfaction with a neurodynamics model of the olfactory bulb , 2004, 2004 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) (IEEE Cat. No.04CH37566).

[73]  K. Zou,et al.  Smooth non-parametric receiver operating characteristic (ROC) curves for continuous diagnostic tests. , 1997, Statistics in medicine.

[74]  Yong Yao,et al.  Model of biological pattern recognition with spatially chaotic dynamics , 1990, Neural Networks.

[75]  J. Gardner,et al.  Application of an electronic nose to the discrimination of coffees , 1992 .

[76]  Lei Wang,et al.  Learning kernel parameters by using class separability measure , 2002 .

[77]  Tom Fawcett,et al.  Analysis and Visualization of Classifier Performance: Comparison under Imprecise Class and Cost Distributions , 1997, KDD.

[78]  J. Gardner,et al.  Application of artificial neural networks to an electronic olfactory system , 1990 .

[79]  Harry L. Van Trees,et al.  Detection, Estimation, and Modulation Theory, Part I , 1968 .

[80]  Robert Kozma,et al.  Encoding and recall of noisy data as chaotic spatio-temporal memory patterns in the style of the brains , 2000, Proceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks. IJCNN 2000. Neural Computing: New Challenges and Perspectives for the New Millennium.

[81]  Hans Liljenström,et al.  Autonomous learning with complex dynamics , 1995, Int. J. Intell. Syst..

[82]  G. Bi,et al.  Synaptic modification by correlated activity: Hebb's postulate revisited. , 2001, Annual review of neuroscience.

[83]  Konrad Colbow,et al.  Algorithms to improve the selectivity of thermally-cycled tin oxide gas sensors , 1989 .

[84]  Nikola Kasabov,et al.  Combining neuro-fuzzy and chaos methods for intelligent time series analysis-case study of heart rate variability , 1997, 1997 IEEE International Conference on Systems, Man, and Cybernetics. Computational Cybernetics and Simulation.

[85]  J. Hertz,et al.  Odour recognition and segmentation by a model olfactory bulb and cortex , 2000, Network.

[86]  Yong Yao,et al.  Central pattern generating and recognizing in olfactory bulb: A correlation learning rule , 1988, Neural Networks.

[87]  Kenichi Yoshikawa,et al.  Temperature-dependent dynamic response enables the qualification and quantification of gases by a single sensor , 1997 .

[88]  Lawrence D. Jackel,et al.  Handwritten Digit Recognition with a Back-Propagation Network , 1989, NIPS.

[89]  D. DeCoste,et al.  Support vector machines and kernel fisher discriminants: a case study using electronic nose data , 2001 .

[90]  M. McCarrick,et al.  Sensors and materials , 1995 .

[91]  DeLiang Wang,et al.  Object selection based on oscillatory correlation , 1999, Neural Networks.

[92]  Eduard A. Manykin,et al.  Recurrent Associative Memory Network of Nonlinear Coupled Oscillators , 1997, ICANN.

[93]  G M Shepherd,et al.  A Molecular Vocabulary for Olfaction a , 1987, Annals of the New York Academy of Sciences.

[94]  Yoshio Okahata,et al.  Olfactory reception on a multibilayer-coated piezoelectric crystal in a gas phase , 1987 .

[95]  Gilles Laurent,et al.  Olfactory network dynamics and the coding of multidimensional signals , 2002, Nature Reviews Neuroscience.

[96]  R. Murray Molecular recognition. , 1999, Analytical chemistry.

[97]  José Carlos Príncipe,et al.  Dynamical analysis of neural oscillators in an olfactory cortex model , 2004, IEEE Transactions on Neural Networks.

[98]  R VanRullen,et al.  Is it a Bird? Is it a Plane? Ultra-Rapid Visual Categorisation of Natural and Artifactual Objects , 2001, Perception.

[99]  Richard Axel,et al.  Topographic organization of sensory projections to the olfactory bulb , 1994, Cell.

[100]  J. Grate,et al.  Correlation of surface acoustic wave device coating responses with solubility properties and chemical structure using pattern recognition , 1986 .

[101]  E. Adrian,et al.  The impulses produced by sensory nerve endings , 1926, The Journal of physiology.

[102]  Y. Okahata,et al.  Synthetic chemoreceptive membranes. Sensing bitter or odorous substances on a synthetic lipid multibilayer film by using quartz-crystal microbalances and electric responses. , 1990, Analytical chemistry.

[103]  R. Lippmann,et al.  An introduction to computing with neural nets , 1987, IEEE ASSP Magazine.

[104]  Masayoshi Kaneyasu,et al.  Smell Identification Using a Thick-Film Hybrid Gas Sensor , 1987 .

[105]  S. Wlodek,et al.  Signal-shape analysis of a thermally cycled tin-oxide gas sensor , 1991 .

[106]  Yoshimasa Takahashi,et al.  Automated odor-sensing system based on plural semiconductor gas sensors and computerized pattern recognition techniques , 1987 .

[107]  Linda B. Buck,et al.  Information coding in the olfactory system: Evidence for a stereotyped and highly organized epitope map in the olfactory bulb , 1994, Cell.

[108]  R. Gutierrez-Osuna,et al.  MULTI-FREQUENCY TEMPERATURE MODULATION FOR METAL-OXIDE GAS SENSORS , 2001 .

[109]  K. Ihokura,et al.  The Stannic Oxide Gas SensorPrinciples and Applications , 1994 .

[110]  K. Kojima,et al.  Dynamical learning of neural networks based on chaotic dynamics , 1998, SMC'98 Conference Proceedings. 1998 IEEE International Conference on Systems, Man, and Cybernetics (Cat. No.98CH36218).

[111]  Ricardo Gutierrez-Osuna,et al.  Odor Mixtures and Chemosensory Adaptation in Gas Sensor Arrays , 2003, Int. J. Artif. Intell. Tools.

[112]  Takamichi Nakamoto,et al.  Development of odour-sensing system using an auto-sampling stage , 1993 .

[113]  Fredrik Winquist,et al.  Performance of an electronic nose for quality estimation of ground meat , 1993 .

[114]  J W Gardner and P N Bartlett,et al.  Electronic Noses: Principles and Applications , 1999 .

[115]  A. Winfree Biological rhythms and the behavior of populations of coupled oscillators. , 1967, Journal of theoretical biology.

[116]  Christophe Giraud-Carrier,et al.  Model of familiarity discrimination in the brain – efficiency , speed and robustness , 1999 .

[117]  Yasuo Asakura,et al.  Improvement of identification capability in an odor-sensing system , 1991 .

[118]  W. Freeman,et al.  Olfactory system : odorant detection and classification , 2001 .

[119]  Robert Kozma,et al.  On the constructive role of noise in stabilizing itinerant trajectories in chaotic dynamical systems. , 2003, Chaos.

[120]  Walter J. Freeman,et al.  Reafference and Attractors in the Olfactory System During Odor Recognition , 1996, Int. J. Neural Syst..

[121]  J. Yorke,et al.  Chaos: An Introduction to Dynamical Systems , 1997 .

[122]  Takamichi Nakamoto,et al.  Recording and reproducing citrus flavors using odor recorder , 2005 .

[123]  Robert Kozma,et al.  A dynamic neural network method for time series prediction using the KIII model , 2003, Proceedings of the International Joint Conference on Neural Networks, 2003..

[124]  P. Brennan,et al.  NEURAL MECHANISMS OF MAMMALIAN OLFACTORY LEARNING , 1997, Progress in Neurobiology.

[125]  E. D. Adrian,et al.  The Basis of Sensation , 1928, The Indian Medical Gazette.

[126]  R. Gutierrez-Osunaa,et al.  Transient response analysis for temperature-modulated chemoresistors , 2003 .

[127]  Paul A. Crook,et al.  A Robot Implementation of a Biologically Inspired Method for Novelty Detection , 2002 .

[128]  Robert Kozma,et al.  Learning spatial navigation using chaotic neural network model , 2003, Proceedings of the International Joint Conference on Neural Networks, 2003..

[129]  K. Mori,et al.  The olfactory bulb: coding and processing of odor molecule information. , 1999, Science.

[130]  Gordon M. Shepherd,et al.  Discrimination of molecular signals by the olfactory receptor neuron , 1994, Neuron.

[131]  D. Ruelle,et al.  Ergodic theory of chaos and strange attractors , 1985 .

[132]  Matthias Otto,et al.  Using singular-value decompositions to classify spatial patterns generated by a nonlinear dynamic model of the olfactory system , 2001 .

[133]  Masato Okada,et al.  Statistical Mechanics of an Oscillator Associative Memory with Scattered Natural Frequencies , 1999 .

[134]  K. Yoshikawa,et al.  Gas Sensing Based on a Nonlinear Response:  Discrimination between Hydrocarbons and Quantification of Individual Components in a Gas Mixture. , 1996, Analytical chemistry.

[135]  S. Hyakin,et al.  Neural Networks: A Comprehensive Foundation , 1994 .

[136]  S. Nakanishi,et al.  Refinement of odor molecule tuning by dendrodendritic synaptic inhibition in the olfactory bulb. , 1995, Proceedings of the National Academy of Sciences of the United States of America.

[137]  R. Cavicchi,et al.  Optimization of temperature programmed sensing for gas identification using micro-hotplate sensors , 1998 .

[138]  D. Wilson,et al.  Comparison of odor receptive field plasticity in the rat olfactory bulb and anterior piriform cortex. , 2000, Journal of neurophysiology.

[139]  Tetsuo Aishima,et al.  AROMA DISCRIMINATION BY PATTERN RECOGNITION ANALYSIS OF RESPONSES FROM SEMICONDUCTOR GAS SENSOR ARRAY , 1991 .

[140]  R. Gutierrez-Osuna,et al.  Fusion of three sensory modalities for the multimodal characterization of red wines , 2004, IEEE Sensors Journal.

[141]  Michael A. Arbib,et al.  The handbook of brain theory and neural networks , 1995, A Bradford book.

[142]  Takamichi Nakamoto,et al.  New method of learning vector quantization using fuzzy theory , 1991, Systems and Computers in Japan.

[143]  B. S. Hoffheins,et al.  Gas sensor arrays for olfactory analysis: Issues and opportunities , 1988 .

[144]  E. G. Jones Cerebral Cortex , 1987, Cerebral Cortex.

[145]  Thomas J. McAvoy,et al.  Dynamic Modeling and Optimization of Micro-Hotplate Chemical Gas Sensors , 1997 .

[146]  Satoshi Nakata,et al.  New strategy for the development of a gas sensor based on the dynamic characteristics : principle and preliminary experiment , 1992 .

[147]  W. Freeman The physiology of perception. , 1991, Scientific American.

[148]  G. Shepherd,et al.  Mechanisms of olfactory discrimination: converging evidence for common principles across phyla. , 1997, Annual review of neuroscience.

[149]  W. J. Freeman,et al.  Pattern recognition in olfactory systems: modeling and simulation , 1989, International 1989 Joint Conference on Neural Networks.

[150]  Yoshimasa Takahashi,et al.  Extended studies of the automated odor-sensing system based on plural semiconductor gas sensors with computerized pattern recognition techniques , 1988 .

[151]  J Ambros-Ingerson,et al.  Simulation of paleocortex performs hierarchical clustering. , 1990, Science.

[152]  N. Wiener,et al.  Nonlinear Problems in Random Theory , 1964 .

[153]  G. Laurent,et al.  Distinct Mechanisms for Synchronization and Temporal Patterning of Odor-Encoding Neural Assemblies , 1996, Science.

[154]  Ricardo Gutierrez-Osuna,et al.  Pattern analysis for machine olfaction: a review , 2002 .

[155]  B. Reedy,et al.  Temperature modulation in semiconductor gas sensing , 1999 .

[156]  Evor L. Hines,et al.  Detection of vapours and odours from a multisensor array using pattern-recognition techniques Part 2. Artificial neural networks , 1992 .

[157]  Joachim M. Buhmann,et al.  Pattern Segmentation in Associative Memory , 1990, Neural Computation.

[158]  Takamichi Nakamoto,et al.  Identification capability of odor sensor using quartz-resonator array and neural-network pattern recognition , 1990 .

[159]  P. Corcoran,et al.  Neural processing in an electronic odour sensing system , 1995 .

[160]  J J Hopfield,et al.  Neurons with graded response have collective computational properties like those of two-state neurons. , 1984, Proceedings of the National Academy of Sciences of the United States of America.

[161]  A. Walmsley,et al.  Evaluation of chemometric techniques for the identification and quantification of solvent mixtures using a thin-film metal oxide sensor array , 1991 .

[162]  Walter J. Freeman,et al.  Hardware architecture of a neural network model simulating pattern recognition by the olfactory bulb , 1989, Neural Networks.

[163]  Walter J. Freeman,et al.  TUTORIAL ON NEUROBIOLOGY: FROM SINGLE NEURONS TO BRAIN CHAOS , 1992 .

[164]  José Pedro Santos,et al.  SAW sensor array for wine discrimination , 2005 .

[165]  W. Freeman Mass action in the nervous system : examination of the neurophysiological basis of adaptive behavior through the EEG , 1975 .

[166]  G. Laurent,et al.  Odor encoding as an active, dynamical process: experiments, computation, and theory. , 2001, Annual review of neuroscience.

[167]  Noboru Yamazoe,et al.  Interactions of tin oxide surface with O2, H2O AND H2 , 1979 .

[168]  R. Axel,et al.  A novel multigene family may encode odorant receptors: A molecular basis for odor recognition , 1991, Cell.

[169]  Christophe Giraud-Carrier,et al.  High Capacity Neural Networks for Familiarity Discrimination , 1999 .

[170]  Shigeo Abe DrEng Pattern Classification , 2001, Springer London.

[171]  Claude Brezinski,et al.  Numerical Methods for Engineers and Scientists , 1992 .

[172]  Robert Kozma,et al.  Chaotic Resonance - Methods and Applications for Robust Classification of noisy and Variable Patterns , 2001, Int. J. Bifurc. Chaos.

[173]  H S Seung,et al.  How the brain keeps the eyes still. , 1996, Proceedings of the National Academy of Sciences of the United States of America.