Selected Publications

Stochastic Chemical Kinetics

Érdi P., Sipos T. and Tóth J.:Stochastic Simulation of Complex Chemical Reaction by Digital Computer. Magy. Kem. Folyoirat 79(97-108)1973 (in Hungarian)

Sipos T., Tóth J. and Érdi P.:Stochastic Simulation of Complex Chemical Reaction by Digital Computer I. The model. React. Kinet. Catal. Lett. 1(113-117)1974

ipos T., Tóth J. and Érdi P.:Stochastic Simulation of Complex Chemical Reaction by Digital Computer II. Applications. React. Kinet. Catal. Lett. 1(209-212)1974

Érdi P. ,Tóth J.:Stochastic Reaction Kinetics=Nonequilibrium Thermodynamics of the State Space? React. Kinet. Catal. Lett. 4(81-85)1976

Érdi P. ,Tóth J.:Stochastic Reaction Kinetics=Nonequilibrium Thermodynamics of the State Space? React. Kinet. Catal. Lett. 4(81-85)1976

Érdi P. ,Tóth J.:On Stochastic Formulation of Chemical Thermodynamics of Chemical Reactions. In: A kémia újabb eredményei 31(177-298)

Tóth J. and Érdi P.:Determination of Reaction Rate Constants of
Complex Chemical Reactions from Equilibrium Fluctuations.
In: Proc. on 5 Symp. Comp. Chem. Engng., The High
Tatras, Czechoslovakia, 1977, pp. 321-324.

Érdi P. , Ropolyi L.:Investigation of Transmitter – Receptor Interaction by Analyzing Postsynaptic Membrane Noise Using Stochastic Kinetics. Biol. Cybernetics 32(41-45)1979

Érdi P. and Tóth J.:Some Comments on Prigogine’s Theories.
React. Kinet. Catal. Lett. 11(371-375)1979

Tóth J. Érdi P. and Török T.:Significance of the Possionian Distribution in the Stochastic Model of Complex Chemical Reactions. Alk. Mat. Lapok 9(175-195)1983 (in Hungarian)

Érdi P. and Tóth J.:Anomalous Stochastic Kinetics. In: Chemical Reactivity in Liquids. Fundamental Aspects. (Eds. Moreau M. and Turk P.), Plenum Publ. 1988. pp. 511-516.

Tóth J. and Érdi P.: The Indispensability of Stochastic Kinetic Models. In: Nonlinear Dynamics and Exotic Kinetic Phenomena in Chemical Systems. (Bazsa Gy. ed), pp 117-143. (in Hungarian)

Wadhwa RR, L, Szente J, Négyessy L and Érdi P.:: Stochastic kinetics of the circular gene hypothesis: feedback effects and protein fluctuations. Mathematics and Computers in Simulation (2015)

Hippocampal Rhythms

Érdi P, Aradi I., and Grôbler T: Rhythmogenesis in single cells and population models: olfactory bulb and hippocampus. BioSystems 40(45-53)1997

Grôbler T, Barna G, and Érdi P: Statistical Model of the Hippocampal CA3 region I. The Single Cell Module: Bursting Model of the Pyramidal Cell. Biol. Cybernetics 79(301-308)1998

Barna G, Grôbler T, and Érdi P: Statistical Model of the Hippocampal CA3 region II. The Population Framework: Model of Rhythmic Activity in the CA3 Slice. Biol. Cybernetics 79(309-321) 1998

Bazsó F, Kepecs Á, Lengyel M, Payrits Sz, Szalisznyó K, Érdi P:
Single Cell and Population Activities in Cortical-like Systems. Rev. Neurosci. 10: 201-212, 1999

Orbán G, Kiss T, Lengyel M, Érdi P: Hippocampal rhythm generation: gamma related theta frequency resonance
in CA3 interneurons. Biol. Cybernetics (84(123-132)

R. Kozma, WJ. Freeman, P. Érdi: The KIV Model – Nonlinear Spatio-Temporal Dynamics of the Primordial Vertebrate Forebrain. Neurocomputing, 52-54 (2003) 819-826

M. Lengyel, Z. Szatmáry, P. Érdi: Dynamically detuned oscillations account for the coupled rate and temporal code of place cell firing. Hippocampus 13 (2003) 700-714

M. Lengyel, P. Érdi: Theta modulated feed-forward network generates rate and phase coded firing in the entorhino-hippocampal system IEEE Transactions on Neural Networks 15 (2004) 1092-1099

M. Lengyel, Zs. Huhn, P. Érdi: Computational theories on the function of theta oscillation Biol Cybern 92(6) 393-408 (2005

Zs. Huhn, G. Orbán, P. Érdi, M. Lengyel : Theta oscillation-coupled dendritic spiking integrates inputs on a long time scale Hippocampus 15(7) (2005) 950-962

P. Érdi, Zs. Huhn, T. Kiss: Hippocampal theta rhythms from a computational perspective: code generation, mood regulation and navigation Neural Networks 18(9) (2005) 1202-1211

G. Orbán, T. Kiss and P. Érdi: Intrinsic and synaptic mechanisms determining the timing of neuron population activity during hippocampal theta oscillation. Journal of Neurophysiology 96(6) (2006) 2889-2904

P. Érdi, T. Kiss, B. Ujfalussy : Multi-level models. In Hippocampal Microcircuits, eds. Vassilis Cutsuridis, Bruce Graham, Stuart Cobb, and Imre Vida. Springer 2010. pp. 527-554.

Computational Pharmacology and Psychiatry

M. Hajós, WE. Hoffmann, G. Orbán, T. Kiss, P. Érdi: Modulation of septo-hippocampal theta activity by GABAA receptors: Experimental and computational approach Neuroscience 126/3 (2004) 599-610

Kiss T, Orbán G and Érdi P: Modelling hippocampal theta oscillation: applications in neuropharmacology and robot navigation. International Journal of Intelligent Systems 21(9) (2006) 903-917

P. Érdi and J. Tóth: Towards a dynamic neuropharmacology: Integrating network and receptor levels. In: Brain, Vision and Artifical Intelligence. M. De Gregorio, V. Di Maio, M. Frucci and C. Musio (eds). Lecture Notes in Computer Science 3704, Springer, Berlin Heidelberg 2005, pp. 1-14.

Érdi P, Kiss T, Tóth J, Ujfalussy B and Zalányi L: From systems biology to dynamical neuropharmacology: Proposal for a new methodology. IEE Proceedings in Systems Biology 153(4) 299-308 (2006)

I. Aradi and P. Érdi: Computational neuropharmacology: dynamical approaches in drug discovery. Trends in Pharmacological Sciences 27(5) (2006) 240-243

T. Kiss and P. Érdi: From electric patterns to drugs: perspectives of computational neuroscience in drug design. BioSystems 86(1-3) 46-52 (2006)

Érdi P, Kiss T, Tóth J, Ujfalussy B and Zalányi L: From systems biology to dynamical neuropharmacology: Proposal for a new methodology. IEE Proceedings in Systems Biology 153(4) 299-308 (2006)

B. Ujfalussy, T. Kiss, G. Orbán, WE. Hoffmann, P. Érdi and M. Hajós: Pharmacological and Computational Analysis of alpha-subunit Preferential GABAA Positive Allosteric Modulators on the Rat Septo-Hippocampal Activity. Neuropharmacology 52(3) (2007) 733-743

P. Érdi, B. Ujfalussy, L. Zalányi, VA. Diwadkar: Computational approach to schizophrenia: Disconnection syndrome and dynamical pharmacology. In: A selection of papers of The BIOCOMP 2007 International Conference L. M. Ricciardi (ed.) Proceedings of the American Institute of Physics 1028, 65-87

Érdi P, VA Diwadkar, Ujfalussy B.: The schizophrenic brain: A broken hermeneutic circle. In Artificial Neural Networks – ICANN 2008 Volume Editors: V Kurkova, R Neruda, J Koutnik, Part II. Lecture Notes in Computer Science 5164 Springer 2008, pp. 929-938

VA Diwadkar, B Flaugher, T Jones, Zalányi L, Ujfalussy B, MS Keshavan, Érdi P.: Impaired associative learning in schizophrenia: Behavioral and computational studies. Cognitive Neurodynamics 2(207-219)(2008)

Érdi P., Ujfalussy B., Diwadkar V.: The schizophrenic brain: A broken hermeneutic circle. In Neural Network World 19(413-427)2009

Gore CD, Bányai M, Gray PM, Diwadkar V, Érdi P: Pathological Effects of Cortical Architecture on Working Memory in Schizophrenia. Pharmacopsychiatry 43(Suppl 1)592-597,2010

Bányai M, Diwadkar V, Érdi P: Model-based dynamical analysis of functional disconnection in schizophrenia NeuroImage, 58(3): 870-877, 2011.

John T, Kiss T, Lever C and Érdi P: Anxiolytic Drugs and Altered Hippocampal Theta Rhythms: The Quantitative Systems Pharmacological Approach} Network: Computation in Neural Systems March – June 2014, Vol. 25, No. 1-2 , Pages 20-37.

Érdi P, John T, Kiss T. and Lever CP: Discovery and validation of biomarkers based on computational models of normal and pathological hippocampal rhythms. In: Validating Neuro-Computational Models of Neurological and Psychiatric Disorders. Eds: Bhattacharya B and Chowdhury F. Springer, Computational Neuroscience series, 2015; pp 15-42

Érdi P, Matsuzawa T, John T, Kiss T and Zalányi L: Connecting Epilepsy and Alzheimer’s Disease: Modeling of Normal and Pathological Rhythmicity and Synaptic Plasticity Related to Amyloid-Beta Effects. In: Érdi P, Bhattacharya BS and Cochran Al (Eds.): Computational Neurology and Psychiatry (Springer Series in Bio-/Neuroinformatics) 1st ed. 2017 Edition, pp 93-119.

Matsuzawa T, Zalányi L, Kiss T and Érdi P : Multi-scale modeling of altered synaptic plasticity related to Amyloid beta effects Neural Networks 93(230-139)2017

Others continued…

Drutchas G and Érdi P Dynamics of Price Sensitivity and Market Structure in an Evolutionary Economic Matching Model. In Proc. AAAI Fall Symp.; Complex Adaptive Systems and the Threshold Effect: Views from the Natural and Social Sciences, AAA Press, pp 39-46, 2009

Jones BD, Zalányi L, Baumgartner F and Érdi P: Dynamic Threshold Modeling of Budget Changes. In Proc. AAAI Fall Symp.; Complex Adaptive Systems and the Threshold Effect: Views from the Natural and Social Sciences. pp 61-66, 2009

Érdi P: Scope and Limits of Predictions by Social Dynamic Models: Crisis, Innovation, Decision Making. Evolutionary and Institutional Economics Review, 7(1): 21-42

Érdi P: Towards a Post-Keplerian social science: Comments by P. Érdi on the Visioneer white papers by D. Helbing and S. Balietti. European Physical Journal, Special Topics, 195:147-151, 2011.

M San Miguel, JH Johnson, J Kertesz, K Kaski, A Díaz-Guilera, RS.MacKay, V Loreto, P Érdi, D Helbing: Challenges in Complex Systems Science. Eur. Phys. J. Special Topics 214, 245-271 (2012)

Jones BD, Zalányi L and Érdi P: An Integrated Theory of Budgetary Politics and Some Empirical Tests: The US National Budget, 1791-2010. American Journal of Political Science 2014 pp 1-18. DOI: 10.1111/ajps.12088

Gershenson C, Csermely P, Érdi P, Knyazeva H and Laszlo L: The Past, Present and Future of Cybernetics and Systems Research. Systema 1(3), pp. 4-13.

Érdi P and Bányai M
:Introduction to Cognitive Systems. In: Handbook on Computational Intelligence. Ed. Angelov, World Scientific 2015

Kamalaldin K, Salome A and Érdi P Modeling Ebola. Science Progress 99(200-219)2016

Érdi P: The Brain-Mind-Computer Trichotomy: Hermeneutic Approach. In: Artificial Intelligence in the Age of Neural Networks and Brain Computing. Editors: Robert Kozma Cesare Alippi Yoonsuck Choe Francesco Morabito. Elsevier, 2018

P. Érdi: The Cognitive Science of the Ranking Game. In: A Life in Cognition (Gervain J, Csibra, and Kristof Kovacs, eds.) Springer 2021

Computational Neuroscience (general)

Érdi P. and Tóth J.:Oscillatory Phenomena at the Synapse. Adv. Physiol. Sci. 34(115-121)1981

Érdi P.:Hierarchical Thermodynamic Approach to the Brain. Int. J. Neurosci. 20(193-216)1983

Érdi P.:System-theoretical Approach to the Neural Organization: Feed-forward Control of the Ontogenetic Development.
In: Cybernetics and System Research, (Ed. Trappl R.),
North-Holland, pp.229-235.

Érdi P. and Barna G.:Self-organizing Mechanism for the Formation of Ordered Neural Mappings. Biol. Cybernetics 51(93-101)1984

Érdi P. and Barna G.:Self-organization of Neural Networks: Noise-induced Transition. Phys. Lett. 107A(287-290)1985

Érdi P. and Szentágothai J.:Neural connectivities: Between Determinism and Randomness. In:Dynamics of Macrosystems. Aubin J.-P., Saari D. and Sigmund K. (eds.) Lect. Notes in Econ. and Mathematical Systems. Springer pp. 21-29.

Barna G. and Érdi P.:Pattern Formation in Neural Systems II.
Noise-induced Formation of Ocular Dominance Columns.
In: Cybernetics and Systems ’86 (ed. Trappl R.),
D. Reidel Publ. Company, pp. 335-342.

Érdi P. and Barna G.:Pattern Formation in Neural Systems. I. Autorhythmicity, Entrainment, Quasiperiodicity, and Chaos in Neurochemical Systems. In: Cybernetics and Systems ’86 (ed. Trappl R.), D. Reidel Publ. Company, pp. 343-350.

Érdi P. and Barna G.:Self-organization in the Nervous System: Some Illustrations. In: Mathematical Topics in Population Biology, Morphogenesis and Neuroscience (Eds. Teramoto E. and Yamaguti M.), Lect. Notes in Biomathematics, Vol. 71,
Springer Verlag 1987. pp. 301-317.

Érdi P.:Neurobiological Approach to Computing Devices. BioSystems 21(125-133)1988

Érdi P.:From Brain Theory to Future Generation Computer Systems.
In: Nature, Cognition and Systems. (Ed. Carvallo M.),
Kluwer Acad. Publ., Dordrecht, 1988. pp. 77-94.

Érdi P.:Self-organization in the Nervous System: Network Structure
and Stability. In: Mathematical Approaches to Brain
Functioning Diagnostics. Dvorak I, Holden AV, eds.
Manchester Univ. Press. pp. 31-43.

Érdi P. and Barna G.:Information Processing and Learning in the
Olfactory Bulb. In: Kohonen et al, eds; Artificial Neural Networks, Vol. 2. 1409-1413. North-Holland.

Érdi P. and Barna G: Neurodynamic Approach to Odor Processing. IJCNN-91. pp. 653-656.

Érdi P., Grôbler T. and Tóth J.:On the classification of some classification problems. In:Int. Symp. on Information Physics, Kyushu Inst. Technol. Iizuka. pp. 110-117.

Érdi P, Grôbler T., Barna G. and Kaski K.:Dynamics of the Olfactory Bulb: Bifurcations, Learning, and Memory. Biological Cybernetics 63(57-66)1993

Horváth G, Szakál Á., and Érdi P.: Mathematical Description of Retinal Comet-Like After Images. A Modified Neural Equation. Math. Biosci. 114(215-248)

Érdi P: Noise and Chaos in Neural Systems. In: Neural Modeling and Neural Networks. (Ventriglia F. ed.), pp. 163-184,. Pergamon Press, 1994.

Aradi I, Barna G, Érdi P and Grôbler T.:Chaos and Learning in the Olfactory Bulb. Int. J. Intelligent Systems 10(89-117)1995

Aradi I, and Érdi P: Signal Generation and Propagation in the Olfactory Bulb: Multicompartmental Modeling. Computers and Mathematics with Applications 32(1-27)1996

Aradi I, Érdi P: Multicompartmental Modelling of Neural Circuits in the Olfactory Bulb. Int. J. Neural Systems 7(519-527)1996

Aradi I, and Érdi P: Multicompartmental modeling of the olfactory bulb. Cybernetics and Systems 27(605-615)1996

Somogyvári Z, Andai A, Székely G, Érdi P: On the Role of Self-excitation in the Development of Topographic Order in the Visual System of the Frog. BioSystems 48(215-222)1998

Szalisznyó K, Érdi P: Depolarizing/hyperpolarizing effects of GABAA synapse have a beneficial role in synaptic weight resetting in hippocampus. Neuroreport 11 (2000) 3559-64

Z. Somogyvári, L. Zalányi, I. Ulbert, P. Érdi : Model-based source localization of extracellular action potentials. Journal of Neuroscience Methods 147(2) (2005) 126-137

B. Ujfalussy, T Kiss, P. Érdi: Parallel Computational Subunits in Dentate Granule Cells Generate Multiple Place Fields. In PLoS Comput Biol 5(9):e1000500, 2009

Somogyvári Z, Cserpán D, Ulbert I, Érdi P : Localization of single cell current sources based on extracellular potentials patterns: the spike CSD method. European Journal of Neuroscience 36, 3299-3313 (2012)

Érdi P. Teaching Computational Neuroscience. Cognitive Neurodynamics 2015 Oct;9(5):479-85. doi: 10.1007/s11571-015-9340-6.

Somogyvári Z and Érdi P: Forward and Backward Modeling: From Single Cells to Neural Population and Back. In: Cognitive Phase Transitions in the Cerebral Cortex – Enhancing the Neuron Doctrine by Modeling Neural Fields (Kozma R, Freeman W eds).Springer 2016

Patent Citation Networks

Strandburg KJ, Csárdi G, Tobochnik J, Érdi P, Zalányi L: Law and the Science of Networks: an Overview and an Application to the “Patent Explosion” Berkeley Technology Law Journal, 21(4) (2006) 1293-1362

G. Csárdi, KJ. Strandburg, L. Zalányi, J. Tobochnik, P. Érdi: Modeling innovation by a kinetic description of the patent citation system Physica A: Statistical and Theoretical Physics 374(1-2) (2007) 783-793

Csárdi G, KJ Strandburg, J Tobochnik, Érdi P.: The inverse problem of evolving networks – with application to social nets. Chapter 10 in Handbook of Large-Scale Random Networks, eds.: Béla Bollobás, Róbert Kozma, Dezső Miklós. Springer-Verlag

Katherine J. Strandburg, Gábor Csárdi, Jan Tobochnik, Péter Érdi, László Zalányi : Patent citation networks revisited: signs of a twenty-first century change? North Carolina Law Review 87(1657-1698)2009

P Érdi, K Makovi, Z. Somogyvári , K Strandburg K, J Tobochnik , P Volf , L Zalányi: Prediction of Emerging Technologies Based on Analysis of the U.S. Patent Citation Network. . Scientometrics 95:225-242 (2013)

Bruck P, Réthy I, Szente J, Tobochnik J and Érdi P Recognition of Emerging Technology Trends. Class-selective study of citations in the U.S. Patent Citation Network Scientometrics 107(1465-1475)2016

Beltz H, Rutledge T, Wadhwa RW, Bruck P, Tobochnik J, Fulop A, Fenyvesi G, and Érdi P: Ranking Algorithms: Application for Patent Citation Network. In: Information Quality in Information Fusion and Decision Making, Bosse, Eloi, Rogova, Galina (Eds.): Springer, 2019


Szentágothai J. and Érdi P.:Self-organization in the Nervous System. J. Social. Biol. Struct. 12(367-384)1989

Érdi P.: Neurodynamic System Theory. Theoretical Medicine

Érdi P.:Structures, Forms, Patterns and Perception: A
Brain-Theoretic Point of View. In:Symmetries in Science IV. Biological and Biophysical Systems. (Eds. Gruber B. and Yopp J.H.)
Plenum Press, New York 1990. pp. 29-52

Érdi P. and Tóth J.:What is and What is Not Stated by the May -Wigner Theorem? J. theor. Biol. 145(137-140)1990

Érdi P.: Neurodynamic Sytems Theory. Lecture Notes.
Tampere Universtity of Technology. Institue of

Grôbler T, Marton P. and Érdi P.:On the Dynamic Organization of Memory. A Mathematical Model of Associative Free Recall.Biol. Cybernetics. 65(73-79)1991

Érdi P., Grôbler T. and Marton P.: On the Double Architecture of the Semantic Memory. In:Nature, Cognition and Systems II. (ed. Carvallo EM), Kluwer Aacd. Publ, pp. 193-203.

Tóth J, Szili L. and Érdi P.: Chemical Kinetics: A Prototype of Nonlinear Sciences. In: The Paradigm of Self-Organization II (Ed. G.J. Dalenoort), pp. 184-201, Gordon and Breach, London, 1994 .

Érdi P: The Complexity of the Brain: Structure, Function, Dynamics. In: Int. Seminar on Evolutionary Systems. (Vienna 1995 March); Van de Vijver G, ed. pp 51-60.Moreno-Diaz R, Mira-Mira J, eds. The MIT Press, Cambridge, 1996, pp. 88-97.

Érdi P: The Complexity of the Brain: Structure, Function, Dynamics. In: Brain Processes, Theories, and Models. Eds Moreno-Diaz R, Mira-Mira J, eds. The MIT Press, Cambridge, 1996, pp. 88-97.

Érdi P: The Brain as a Hermeneutic Device. BioSytems 38(79-89)1996

Érdi P, Aradi I, Kato Y, Yoshikawa, K: Dynamic Information in Natural and Artificial Olfactory Systems. BioSytems, 46 (107-112) 1998

Érdi P and Aradi I: The Brain as a Hermeneutic Device. In: Hermeneutics and Science. Boston Studies in the Philosophy of Science, Vol. 206, (Eds. M. Fehe’r, O. Kiss and Ropolyi L.), Kluwer Acad. Publ. Dordrecht-Boston-London. pp. 183-198.

Érdi P: Computational Approach to the Functional Organization of the Hippocampus. Neuronal Bases and Psychological Aspects of Consciousness (ed. Taddei-Ferrati C), World Scientific, (72-84)

Érdi P: Neural and Mental Development: Selectionsim, Constructivism, Hermeneutics. Neuronal Bases and Psychological Aspects of Consciousness (ed. Taddei-Ferrati, C), World Scientific, (507-518)

Arbib M and Érdi P: Structure, Function, and Dynamics: An Integrated Approach to Neural Organization. Behavioral and Brain Sciences 23(513-571)

Érdi P and Tsuda I: Hermeneutic Approach to the Brain: Process versus Device?
Theoria et Historia Scientiarum Vol 6. 307-321, 2002

Cs. Földy, Z. Somogyvári, P. Érdi: Hierarchically Organized Minority Games. Physica A, 323 (2003) 735-742

L. Zalányi, G. Csárdi, T. Kiss, M. Lengyel, R. Warner, J. Tobochnik, P. Érdi: Properties of a random attachment growing network Physical Review E 68 066104 (2003)

R. Kozma, W.J. Freeman, D. Wong, P. Érdi: Learning environmental clues in the KIV model of the cortico-hippocampal formation Neurocomputing 58-60 (2004) 721-728

(continuation in the left column)