Andras J. Pellionisz

A thought leader of geometrization of neuroscience and genomics

"The Geometry of Life"

From continuous (or contiguous?) "Reflexes" to Tensor Network Theory (Prized by Germany) and from "Junk/Genes arbitrated by Central Dogma" to Non-Linear Dynamics of Fractals & Chaos as the mathematics intrinsic to the HoloGenome (Prized by India).
Unification of Neuroscience & Genomics (1989-2013) changed first Philosophy and now Clinical Utilization.

See Timeline of Nonlinear Dynamics made into the software-enabling mathematical algorithm of 21 Century Genomics, while the field muddled through junk & dogma (ENCODE I, II) over the "Decade after the Human Genome Program". (2002-2012)

See Pellionisz' breakthrough in .pdf

Founder of HolGenTech, Inc.
Founder of International HoloGenomics Society
Owner of HelixoMetry IP Holding

As a domain expert in Genome Informatics, Andras Pellionisz is a cross-disciplinary scientist and technologist. With Ph.D.’s in Computer Engineering, Biology and Physics, he has 45 years of experience in Informatics of Neural and Genomic Systems spanning Academia, Government and Silicon Valley Industry. Dr. Pellionisz played a leading role in the paradigm shift from Artificial Intelligence to Neural Nets, including the establishment of the International Neural Network Society. Today, his work is foundational to HoloGenomics, the integration of 100+ years of Genetics with 60+ years of Epigenetics. In 2005, he combined interdisciplinary communities of Genomics and Information Technology when he established the International HoloGenomics Society (IHGS).

Pellionisz founded HolGenTech, Inc. as a Genome Analytics company to leverage defense-validated high-performance hybrid computer hardware with a novel, fractal algorithm-based approach for genome analysis and recommendation.

Based on sound genome informatics, his work sets forth new mathematical principles for proceeding soundly with full exploration of the whole genome. Dr. Pellionisz’ fractal approach to genome function is now corroborated by recently published findings about the fractal folding of DNA structure by Presidential Science Adviser Eric Lander.

Dr. Pellionisz put forth the first theory of full genome (hologenome) recursive fractal iterative function, as the mathematical basis of genome regulation, presenting in Cold Spring Harbor Labs, 2009. He correctly predicted that genome regulation includes recursion in 1989.

His work, since 1989, precedes by many years what is considered today's cutting edge in genomic science. For years, Dr. Pellionisz published his research in direct opposition to mistakenly held assumptions (Junk DNA and Central Dogma) that held sway for decades. In 2002, just one year after The Human Genome Project acknowledged that a decade of research and billions of dollars failed to produce the expected 140-300 thousand "genes" in the highly repetitive genome, Dr. Pellionisz conceived FractoGene and filed US patents since 2002 (his first issued patent dated 1984). He formally published this work in 2006 before the US NIH DECODE concluded with a disposition consistent with Dr. Pellionisz' findings:

In 2008, his breakthrough research: "The Principle of Recursive Genome Function" superseded the misnomer "Junk DNA", a term widely used for 30+ years to define intergenetic material, was as widely misunderstood and dismissed until HoloGenomics. As now widely admitted, the material is critical to understanding DNA, and Dr. Pellionisz’ algorithmic formulations represent rare methods of discovery and application of the material.

Pellionisz’ US career started in 1973 with a Stanford Post Doctoral Fellowship followed by a position taken in 1976 as a Research Professor of Biophysics at New York University Medical Center. Anticipating the Internet boom, he moved back to Silicon Valley to work for the US government at NASA Ames Research Center as a Senior Research Associate of the National Academy. Dr. Pellionisz was the first to provide a blueprint instruction for automated landing an F15 fighter on one wing with the Transputer parallel computer neural network. He subsequently participated in the government handover of Internet development to private industry. From 1994, he served as Chief Software Architect to several "dot com boom" Silicon Valley companies.

Over the decades, Dr. Pellionisz successfully pioneered the geometrization of biology, first in neuroscience resulting in early industrial neural net applications and later in genomics, manifesting today in industrial applications for personal genomes. His efforts in the year of 2012, ending "the decade of genome uncertainty" he accomplished a geometric unification of neuroscience and genomics, and by FractoGene, the parent application of his IP-group issued on October 3rd, 2012, implements the industrialization of genomics to clinical use.

Board Membership

Chairman of the Board, HolGenTech, Inc. (Silicon Valley, California).
Board of Advisers at DRC Computer, Inc. (Silicon Valley, California)
Board of Advisers at Elogic, Inc. (Bangalore, "Silicon Valley" of India)


(+1) 408-891_718seven


Founder and President of HolGenTech, Sunnyvale, USA-Siliconvalley in California; (Informatics for the Genome Based Economy)
Board of Adviser to ELOGIC Technologies, Genome Analytics Service from India-Siliconvalley in Bangalore, India,
Board of Adviser to DRC computer, a Security First Company; Leveraging Defense HPC for Genomics
Director of Genome Informatics, Mitrionics, TM, Los Gatos, California
Founder of International HoloGenomics Society (Formerly PostGenetics Society)
European Union visiting Professor for Hungary (for "European Inaugural of IPGS")
Founder of FractoSoft (Software for PostGenetics, Silicon Valley, with Central European outsourcing)
Founder of Helixometry (IP portfolio holding, Silicon Valley)
Inventor and Founder of FractoGene (Fractal approach to DNA)
Chief Software Architect and Chief Intelligence Officer of several Silicon Valley Internet Companies in the boom
Founder of International Neural Networks Society (INNS)
Founding Editor of Neural Networks (publication organ of INNS)
Section Editor for Neural Networks of The Cerebellum (Springer, New York & Heidelberg)
Professor of Physiology and Biophysics, New York University Medical Center
Visiting Professor of Marburg University, Germany (Humboldt Prize for Senior Distinguished Amercian Scientists)
Visiting Professor of UMR/CNRS, College de France, Paris
Senior Research Council Associate of the National Academy of Science, USA, to NASA
PostDoctoral Fellow, University of Iowa
PostDoctoral Fellow, Stanford University
Tenured Senior Research Fellow and Doctor of Physics of the Hungarian Academy of Sciences


GEOMETRIZATION OF GENOMICS; Fractal Approach to Genome Function

Pellionisz, A.J, Graham R., Pellionisz, P.A., Perez, JC (2013) Recursive Genome Function of the Cerebellum: Geometric Unification of Neuroscience and Genomics. In: Springer Handbook "The Cerebellum" pp. 1381-1423 M. Manto, D.L. Gruol, J.D. Schmahmann, N. Koibuchi, F. Rossi (eds.), Handbook of the Cerebellum and Cerebellar Disorders, Submitted October 20, Accepted November 1, 2011.DOI 10.1007/978-94-007-1333-8_61,Springer Science Business Media Dordrecht 2013 [FULL TEXTBOOK CHAPTER PDF]

Di Leva, A, Grizzi, F, Jelinek H, Pellionisz, AJ, Losa GA (2013) Fractals in the Neurosciences, Part I. General Principles and Basic Neurosciences. Neuroscientist, Dec. 20, PMID 24362815 (Epub ahead of print) [FULL PUBMED PDF]

Pellionisz, A.J, The Decade of FractoGene: From Discovery to Utility; Proofs of Concept Open Genome-Based Clinical Applications (2012) International Journal of Systemics, Cybernetics and Informatics, (ISSN 0973-4864) pp. 17-28 [FULL PDF OF HYDERABAD DECORATED BOOK CHAPTER]


Pellionisz, A. (2012) The Cerebellum as a Neuronal Machine - Tempora Mutantur, Nos Et Mutamus In Illis. In: Memorial Conference at the Consulate of Hungary in New York City, on the Occasion of the 100th Birthday of Janos Szentagothai, pp. 23-24 [FULL PDF OF BOOK CHAPTER OF THE NEW YORK CONSULATE OF HUNGARY]

Timeline of A Decade of FractoGene (2002_2012) [TIMELINE OF DECADE PDF WITH LINKS]

US Patent Office Issues FractoGene Patent to HolGenTech Founder Pellionisz (2012) [PRESS RELEASE ON FRACTOGENE PATENT]

Utility of genomic fractals resulting in fractals of organisms (2012 October 2) US 8280641 B1 Sole inventor: Andras J. Pellionisz, Assigned to Andras J. Pellionisz (2012) [GOOGLE PATENT, IN FORCE TILL LATE MARCH 2026 AND METHODS IMPROVED AFTER CIP OF 2007, HELD AS TRADE SECRETS, FOREVER] see FractoGene, HolGenTech]

Pellionisz, A. (2010) Shop for your Life! [YOUTUBE]

Pellionisz, A. (2009) From the Principle of Recursive Genome Function to Interpretation of HoloGenome Regulation by Personal Genome Computers. COLD SPRING HARBOR LABORATORY PRESENTATION (website); PersonalGenomes meeting of George Church, Sept. 14-17, 2009

Pellionisz, A., Nikolich, K., Dietrich, S., Avey, L., Medina, D., moderator Whiteley, P. Sponsored by Gutenberg Communications, Matick, S.(2009) [YOUTUBE]

Shapshak, P, Chiappelli, F, Commins, D, Singer E, Levine, AJ, Somboonwit, Minagar, A, Pellionisz, A. (2008) Molecular epigenetics, chromatin, and NeuroAIDS/HIV: Translational implications; Bioinformation. 3(1): 53-57 Published online 2008 October 7.[PUBMED FULL DPF]

Chiappelli F, Shapshak P, Commins D, Singer E, Minagar A, Oluwadara O, Prolo P, Pellionisz AJ. (2008) Molecular epigenetics, chromatin, and NeuroAIDS/HIV: Immunopathological implications. Bioinformation. 3(1):47-52. PMCID: PMC2586137, Epub 2008 Oct 7.Click here to read [PUBMED FULL PDF]

Pellionisz, A. (2008) Is IT Ready for the Dreaded DNA Data Deluge? [GOOGLE TECH TALK YOUTUBE]

Pellionisz, A. (2008) The Principle of Recursive Genome Function. The Cerebellum (Springer, New York & Heidelberg), Epub ahead of Print DOI 10.1007/s12311-008-9935-y, [SUPPLEMENTARY MATERIAL] [PUBMED FULL PDF]

Simons, M. and Pellionisz, A. (2006 c) Implications of fractal organization of DNA on disease risk genomic mapping and immune function analysis. Proc. of Australasian and Southeast Asian Tissue Typing Association 30th scientific meeting 22-24 November 2006, Chiangmai, Thailand (Peer-invited and peer-reviewed Keynote lecture) [FULL ABSTRACT PDF]

PostGenetics - Genetics beyond Genes formally abandons “Junk” DNA for the PostModern era, Science (Submitted on December 17, 2006 To Science, FULL SCIENCE MANUSCRIPT PDF), AJ Pellionisz, MJ Simons, W, Battistutti, B Bollobas, F Chiappelli, D Commins, A Falus, A Giordano, CA Hunt, P Kangueane, A Minagar, MJ, Molnar, K Nikolich, L Radvanyi, J Ruis, KR Sakharkar, C Schönbach, P Shapshak, EJ Singer, F Strauss, M Szell, D,Ugarkovic, S Vizi, P Werbos, L Xu

Pellionisz, A. (2006) PostGenetics: Genetics beyond Genes. The journey of discovery of the function of "junk" DNA. Peer-invited and peer-reviewed Keynote lecture at "European Inaugural of the International PostGenetics Society", 12. October, 2006, Budapest, Hungary, a Satellite to the International Congress of Immunogenomics and Immunomics, pp. 219., BCII2006 [FULL ABSTRACT PDF]

Simons, M. and Pellionisz, A. (2006 a) Genomics, Morphogenesis and Biophysics: Triangulation of Purkinje Cell Development, The The Cerebellum, 2006; 5(1): 27-35 [PUBMED FULL PDF]

Pellionisz, A. (2003) FractoGene Design-Tool for Protein-Based Self-Assembling Nanostructures, Materials and Applications. In: Proceedings of the Symposium "Biological Nanostructures, Materials, and Applications", Invited Lecture, sponsored by the ECS New Technology Subcommittee held at the 204th Meeting of The Electrochemical Society, Orlando, FL (PEER-INVITED AND PEER-REVIEWED KEYNOTE LECTURE)

Pellionisz, A. (2002, Aug. 1.) FractoGene patent group Intellectual Property filed to USPTO [PRIORITY DATE OF 8,280,641]

Pellionisz, A. (2002) Morphogenesis of the Central Nervous System: A THIRD OF A CENTURY (1968-2002) to Reveal the Morpho-Genesis of the Brain [website summary]

[1996-2001] Intellectual Property to NASA, SVNI and Silicon Valley Internet Companies NOT IN PUBLIC DOMAIN



Pellionisz, A. (1989) Neural Geometry: Towards a Fractal Model of Neurons. In: Models of Brain Function, Ed. by Rodney M.J. Cotterill. Cambridge University Press, pp.453-464 . [FULL BOOK CHAPTER PDF]


NEURAL GEOMETRY: Tensor Network Theory and its Applications

Pellionisz, A. (2000) Tensor Network Theory and its Applications. [SUMMARY PDF]

Successful Neural Net Flight Control by NASA (199) [NEW SCIENTIST PRESS RELEASE]

Pellionisz, A. (1995) Flight Control by Neural Nets: A Challenge to Government/Industry/Academia. International Conference on Artificial Neural Networks, Paris. (Ed. F. Fogelman) [BOOK CHAPTER]

Pellionisz, A.J. (1994) From Geometrical Foundations of NN Research to Lead-Roles in Silicon Valley Information Industry in Flight Control and Infohighway Interface. Invited Lecture at Korean Neural Network Conference, Seoul, Korea [FULL PROCEEDINGS PDF]

Andras J. Pellionisz, David L. Tomko and Charles C. Jorgensen (1993) Artificial Cerebellum ACE: Tensor Network Transformer Enabling Virtual Movement in Virtual Environment; Facilitating Teleoperation in Telepresence. IEEE World Congress on Neurocomputing San Francisco [BOOK CHAPTER]

Pellionisz, A. J., C. J. Jorgensen and P. J. Werbos (1992) Cerebellar Neurocontroller Project, for Aerospace Applications, in a Civilian Neurocomputing Initiative in the "Decade of the Brain". IJCNN 92, Baltimore, 379-384 [BOOK CHAPTER]

Werbos, P. J. and A. J. Pellionisz (1992) Neurocontrol and Neurobiology: New Developments and Connections. IJCNN 1992, Baltimore, 373-378. [PAPER]

Pellionisz, A. J. and C. Ramos (1993) A Geometrical Approach to the Vestibular Control of Movement and Posture. Natural and Artificial Control of Hearing and Balance, Rheinfelden, Switzerland, J. Allum, eds., Elsevier [PUBMED FULL BOOK CHAPTER PDF]

Pellionisz, A. J., D. L. Tomko and J. Bloedel R. (1992) Neural Geometry Revealed by Neurocomputer Analysis of Purkinje Cell Responses. Computing by Neural Systems, San Francisco, C. Ploegaert, eds., Kluever, Boston, MA, 1-5.

Pellionisz, A.J. and Bloedel, J.R. (1992) Geometry Intrinsic to Population Responses of Cerebellar Purkinje Cells as Revealed by Neurocomputer Analysis of Multi-Unit Recordings from Biological Neural Nets. CNS*92 Abstracts.

Anderson, W., Pellionisz, A., Rosenfeld, E. (1990) Neurocomputing II. Directions of Research. MIT Press (Second [paperback] Edition1993) [MIT BOOK]

Pellionisz, A. (1991) The Geometry of Massively Parallel Neural Interconnectedness in Wired and Wireless Volume Transmission . Ch. 45. In: Volume Transmission in the Brain . Ed. by K.J.Fuxe and L. Agnati, Raven Press, New York, pp. 557-568

Pellionisz, A.J. and Bloedel JR. (1991) Functional geometry of Purkinje cell population responses as revealed by neurocomputer analysis of multi-unit recordings. Soc. Neurosci. Absts. v.21

Pellionisz, A.J. (1991) Discovery of Neural Geometry and its Utilization in Neurocomputer Theory and Development. In: International Conference on Neural Networks, Helsinki, Finland (Ed. by T.Kohonen) [BOOK CHAPTER]

Pellionisz, AJ, B.LeGoff, J.Laczko and A. Berthoz. (1991) Multidimensional Geometry Intrinsic to Head Movements around Distributed Centers of Rotation: A Neurocomputer Paradigm. In:The Head-Neck Sensory-Motor System Oxford Univ. Press. Eds. A. Berthoz, W.Graf and P. Vidal. pp.117-125 [BOOK CHAPTER]

Pellionisz, AJ, Peterson, B.W., Tomko, L.D. (1990) Vestibular Head- Eye Coordination: a Geometrical Sensorimotor Neurocomuter Paradigm. in : Advanced Neurocomputing. Ed. R. Eckmiller, Elsevier, North Holland. pp.126-145.

Pellionisz, A. (1990) "USA Civilian Neural Network Program" to NASA, NIH, NIMH and NSF (Senior Research Associate of the USA National Academy to NASA) [GOVERNMENT INITIATIVE AVAILABLE ON WEB IN FULL]

Pellionisz, A. (1989) Tensor Network Model of the Cerebellum and its Olivary System. In: Proc."The Olivocerebellar System in Motor Control" ENA-IBRO Symposium, Torino, Iltaly. Springer Verlag (P.Strata, ed) pp. 400-424. [BOOK CHAPTER]

Pellionisz, A. (1989) Neural Geometry: Towards a Fractal Model of Neurons. In: Models of Brain Function, Ed. by Rodney M.J. Cotterill. Cambridge University Press, pp.453-464 [PUBMED FULL BOOK CHAPTER PDF]

Pellionisz, A (1989) About the Geometry Intrnsic to Neural Nets. International Joint Conference on Neural Nets, Washington, D.C. Vol. I. p. 711-715.

Pellionisz, A (1989) Fractal Geometry of Purkinje Neurons: Relationships among Metrical and Non-Metrical Neural Geometries. Soc. Neurosci. Absts. 15 (1) 180. [ABSTRACT PDF]

Pellionisz, A (1989) Brain Geometry: The need of Researching Association of Covariant and Contravariant Coordinates that Organize a Cognitive Space by Relating Multisensory-Multimotor Representations. Proc. of 3rd. IEEE Intern. Conf. on Neuronal Netorks, Washington, D.C.

Peterson, B.W., Pellionisz, A.J., Baker, J.A., Keshner, E.A. (1989) Functional Morphology and Neural Control of Neck Muscles in Mammals. Am. Zoology, 29:139-149

Pellionisz, A. (1988) Proposal for Centers of Neurophysics. (pp. 1-5) [EXECUTIVE PROPOSAL PDF]

Pellionisz, A. (1988) Vistas from Tensor Network Theory: A Horizon from Reductionalist Neurophilosophy to the Geometry of Multi-Unit Recordings. In: Computer Simulation in Brain Science (ed. by R. Cotterill), Cambridge University Press, pp. 44-73. [FULL BOOK CHAPTER]

Pellionisz, A., Peterson, BW. (1988) A Tensorial Model of Neck Motor Activation. In: Control of Head Movement (eds. Peterson, BW. and Richmond, F.), Oxford University Press , pp. 178-186. [PUBMED FULL BOOK CHAPTER PDF]

Pellionisz, A., Peterson, BW. (1988) Theoretical Predictions of Spatial Anisotropy of Acerebellar Dysmetria in Head Movements of Cats. Soc. Neurosci. Absts. 14/2: 1239.

Berthoz, A., Benhamou, M. and Pellionisz, A.J. (1988) Postural Positions Yielding Aligned Eigenvectors of Coordinate Frames Intrinsic to Vestibular and Nead-Neck Muscle Systems in Human. Soc. Neurosci. Absts. 14/2: 1235

Pellionisz, A. (1988) Intelligent Decisions and Dynamic Coordination: Properties of Geometrical Representation by Generalized Frames Intrinsic to Neural and Robotic Systems. Proc. of 2nd IEEE Internatl. Conf. on Neuronal Networks, San Diego, Vol. 2:603-610.

Pellionisz, A. (1988) Coordinated Trajectory Control in Intrinsic Sensorimotor Frames. Absts. 1st. Ann. Mtg. Boston, Neural Networks, Suppl: 1:354.

Pellionisz A. (1988) Sensorimotor Operations: a Ground for the Co-Evolution of Brain Theory with Neurobotics and Neurocomputers. In: Proc. IEEE First Annual International Conference on Neural Networks, San Diego Vol.4:593-600.

Pellionisz, A. (1988) Tensorial Aspects of the Multidimensional Massively Parallel Sensorimotor Function of Neuronal Networks. In: Progress in Brain Research: Vestibulospinal Control of Posture and Movement. (ed. by O. Pompeiano and J.H.J. Allum) Progress in Brain Research, Elsevier, pp. 341-354 [PUBMED FULL BOOK CHAPTER PDF]

Pellionisz, A. (1988) Tensor Geometry: A Language of Brains and Neurocomputers. Generalized Coordinates in Neuroscience and Robotics. In: Neural Computers (NATO Advanced Science Institutes Series, F (Computers and Systems Sciences Vol. 41) (ed. by R. Eckmiller and C. von Malsburg), Springer Verlag, Berlin pp. 381-391.

Bloedel, J.R., Tillery, S.I. and Pellionisz, A.J. Experimental-Theoretical Analysis of the Intrinsic Geometry of Limb Movements. Neurosci. Abst. 14: 952, 1988

Laczkó, J., Pellionisz, A., Jongen, H. and Gielen. C.C.C.M. Computer Modeling of Human Forelimb Muscle Activation in Multidimensional Intrinsic Coordinate Frames. Soc. Neurosci. Absts. pp. 14-2:955, 1988 [ABSTRACT]

Daunicht, W. & Pellionisz, A. (1987) Spatial arrangement of the Vestibular and the Oculomotor System in the Rat. Brain Research 435. pp. 48-56. [PUBMED FULL PDF]

Pellionisz, A. & Graf, W. (1987) Tensor Network Model of the "Three-Neuron Vestibulo-Ocular Reflex-Arc" in Cat. J. Theoretical Neurobiology , (5)127-151. [FULL PAPER PDF]

Pellionisz, A.(1987) Tensor Geometry as the Mathematical Language of Neuronal Networks. Brain Theory & Foundation for Neurobotics and Neurocomputers. Proc. of IBRO II.World Congress, Neuroscience, Suppl. to Vol 22, p. S101

Peterson, B.W., Baker, J.F., Pellionisz, A.J. (1987) Multidimensional Analysis of Vestibulo-Ocular and Vestibulo-Colllic Reflexes (VOR and VCR). In: Proceedings of the International Symposium on Basic and Applied Aspects of Vestibular Function, Hong Kong

Pellionisz, A. (1987) Tensor Geometry: Mathematical Brain Theory for Neurocomputers and Neurobots. In: Proc. of the Ninth Annual Conference of IEEE Engineering in Medicine and Biology Society, Boston, 87 CH 2513-0,Vol 3. pp. 1368-1369. [ABSTRACT]

Pellionisz, A. (1987) Multidimensional Geometries Intrinsic to Cognitive CNS Hyperspaces, and their Metaorganization by a Sensorimotor Apparatus. Soc. Neurosci. Absts. 13.V.2.pp.1094 [ABSTRACT]

Liverneaux, Ph, Pellionisz, A.J., Lestienne, F.G. (1987) Morpho-Anatomy and Muscular Synergy of Sub-occipital Muscles in Macaca Mulatta: Study of Head-Trunk Coordination. Proc. of IBRO II. World Congress, Neuroscience , Suppl. to Vol.22, p. S847

Lestienne, F, Liverneaux, Ph. and Pellionisz, A. (1988) Morpho-anatomy of sub-occipital muscles in monkey: a tensor model of the musculo-skeletal head-neck system. Reunion Commune de la Physiological Society et de l'Association des Physiologistes, France 2 July 1988. Proc. Physiol. Soc. J. Physiol. (Lond) pp.2P

Laczkó, J., Pellionisz, A.J. Peterson, B.W. and Buchanan, T.S. (1987) Multidimensional Sensorimotor "Patterns" Arising from a Graphics-Based Tensorial Model of the Neck-Motor System. Soc. Neurosci. Absts. 13., V.1. p. 372. [FULL ABSTRACT PDF]

Lestienne, F, Liverneaux, Ph., Pellionisz, A. (1987) Role of the Superficial and Deep Neck Muscles in the Control of Monkey Head Movement: Application of the Tensor Analysis Approach. Soc. Neurosci. Absts. 13. V.1. p.372.

Lestienne, F, Liverneaux, Ph., Laczkó, J. and Pellionisz, A. (1987) Tensor Model of the Musculo-Skeletal Head-Neck System of the Mondkey. In: Proc. of the II. World Congress of IBRO, Budapest [ABSTRACT]

Pellionisz, A. (1987) Koordináció: Túlhatározott Központi Idegrendszeri Koordinátarendszerek Vektor-Mátrix Leirása és Tenzor Megoldása a Moore-Penrose Generalizált Inverz Segítségével. Fizikai Szemle, Budapest

Pellionisz, A. (1987) Tensor Network Theory of the Central Nervous System. Encyclopaedia of Neuroscience (ed by G. Adelman), Vol. II. Birkhauser, p. 1196-1198. [FULL ENCYCLOPEDIA ENTRY PDF]

Pellionisz, A. (1987) Modeling and Theory of Neurons and Network Functions, In: Proc. of the AAAS , p. 17. [ABSTRACT]

Churchland, P. (1986) Neurophilosophy, MIT [EXTENDED PDF] (Excerpts on Pellionisz' Tensor Network Theory)

Pellionisz, A. (1986) Tensor Network Theory of the Central Nervous System and Sensorimotor Modeling. In: Brain Theory (eds. Palm G., & Aertsen, A.), Springer Verlag, Berlin-Heidelberg-New York, pp. 121-145

Pellionisz, A. (1986) David Marr's Theory of the Cerebellar Cortex: A Model in Brain Theory for the "Galilean Combination of Simplification, Unification and Mathematization". In: Brain Theory (eds. Palm G., & Aertsen, A.), Springer Verlag, Berlin-Heidelberg-New York, pp. 253-257 [FULL BOOK CHAPTER PDF]

Pellionisz, A. (1986) Old Dogmas & New Axioms in Brain Theory. Commentary to "Cortical Connections and Parallel Processing: Structure & Function: by D.H. Ballard". Behavioral and Brain Sciences, 9. pp. 103-104

Pellionisz, AJ., Soechting, JF, Gielen, CCAM, Simpson, JI., Peterson, BW, Georgopoulos, AP. (1986) Workshop: Multidimensional Analyses of Sensorimotor Systems. Soc. Neurosci. Absts. 12, p. 1

Peterson, BW. & Pellionisz, AJ. (1986) A Tensorial Model of the Kinematics of Head Movements in the Cat. Soc. Neurosci. Absts. 12, p. 684

Pellionisz, A. (1986) Tensorial Relationship Found for Structural and Functional Reference Frames of Brain Function: Saccade Neurons in Monkey Utilize Frames Composed of the Eigenvectors of the Frame of Extraocular Muscles. Soc. Neurosci. Absts. 12, p. 1186

Daunicht, W. & Pellionisz, A. (1986) Geometry of the Semicircular Canals and the Extraocular Muscles in the Rat. Soc. Neurosci. Absts. 12, p. 1089 [FULL ABSTRACT PDF]

Pellionisz, A. (1986) Tensor Model of Gaze. In: Proc. Developments in Oculomotor Research, Gleneden Beach, Oregon, p. 52 [FULL ABSTRACT PDF]

Pellionisz, A. (1986) Tensor Network Theory and its Application in Computer Modeling of the Metaorganization of Sensorimotor Hierarchies of Gaze. In: Proc. "Neuronal Networks for Computing". AIP 151, New York: American Institute of Physics. pp.339-344. [FULL BOOK CHAPTER PDF]

Daunicht, W. & Pellionisz, A. (1986) Physical Arrangement of Extraocular Muscles in the Rat. Proc. of European Neuroscience Association [FULL ABSTRACT PDF]

Pellionisz, A. (1986) Az Agyműködés Tenzorelmélete (Tensor Theory of Brain Function). Proc. of  "The Role of Hungarians in the Scientific and Technological Progress of the World", World Federation of Hungarians & Hungarian Academy of Sciences, Budapest

Gielen, C.C.A.M, Van Zuylen, E.J. (1986) Coordination of Arm Muscles During Flexion and Supination: Application of the Tensor Analysis Approach, [FULL PAPER REFERENCE PDF] Independent experimental support of TNT] Neuroscience, 17(3) 527-539

Pellionisz, A. (1985) Tensor Theory of Brain Function and its Applications to Sensorimotor Modeling. Brain and Behaviour Report #4. Program abstracts and summary of the meeting on "Activity Patterns of Neural Populations", (eds. Johannesma, PIM., Eggermont, JJ., van Gisbergen, JAM.), Brain and Behaviour Society, Nijmegen, The Netherlands

Pellionisz, A. (1985) Tensor Theory of Brain Function & its Applications to Sensorimotor Modeling. In: Proceedings of Vth Internatl. Symp. on Motor Control. 85, Varna. p. 104

Pellionisz, A. (1985) Mathematical Theory and Computer Modeling of Brain Function. The NYU Physician, New York Univ. Press. 41 (2) pp. 23-45 [FULL BOOK CHAPTER]

Pellionisz, A. (1985) Robotics Connected to Neurobiology by Tensor Theory of Brain Function. Proc.IEEE International Conf. on Systems, Man & Cybernetics. pp. 411-414 [FULL ABSTRACT PDF]

Pellionisz, A. & Peterson, B.W. (1985) Tensor Models of Primary Sensorimotor Systems, such as the Vestibulo-Collic Reflex (VCR) and the Metaorganization of Hierarchically Connected Networks. Soc. Neurosci. Absts. 11. p 83 and Neck-Motor Control Systems. In: Proceedings of Annual Conference on Engineering in Medicine & Biology

Peterson, B.W., Baker, J., Wickland, C. & Pellionisz, A. (1985) Relation Between Neck Muscle Pulling Directions and Activity by the VCR: Experimental Test of a Tensor Model. Soc. Neurosci. Absts. 11. p. 83

Peterson, BW., Baker, J., Wickland, C., & Pellionisz, A. (1985) Sensorimotor Transformation in Motor Control Systems. 38th ACEMB; Proceedings of Annual Conference on Engineering in Medicine and Biology

Graf, W., & Pellionisz, A. (1985) Morphology and a Tensor Network Model of the Three-Neuron Vestibulo-Ocular Reflex Arc in Cat. Soc. Neurosci. Abst. 11. p. 1041

Pellionisz, A. (1985) Tensorial Aspects of the Multidimensional Approach to the Vestibulo-Oculomotor Reflex and Gaze. In: Reviews of  Oculomotor Research. I. Adaptive Mechanisms in Gaze Control. (ed. by A. Berthoz and G. Melvill-Jones). Elsevier, Amsterdam, pp. 281-296 [PUBMED FULL BOOK CHAPTER PDF]

Pellionisz, A. (1985) Tensorial Brain Theory in Cerebellar Modeling. In: Cerebellar Functions (ed. Bloedel, J., Dichgans, J. & Precht, W.), Springer, Heidelberg, pp. 201-229

Llinás, R. & Pellionisz, A. (1985) Cerebellar Function and the Adaptive Feature of the Central Nervous System. In: Reviews of Oculomotor Research. I. Adaptive Mechanisms in Gaze Control. (ed. by A. Berthoz and G. Melvill-Jones). Elsevier, Amsterdam, pp. 223-232

Ostriker, G., Llinás, R. & Pellionisz, A. (1985) Tensorial Computer Model of Gaze. Oculomotor Activity is Expressed with Natural Non-Orthogonal Coordinates. Neuroscience. 14, pp. 483-500 [PUBMED FULL PDF]

Pellionisz, A. & Llinás, R. (1985) Tensor Network Theory of the Metaorganization of Functional Geometries in the CNS. Neuroscience, 16, pp. 245-274 [PUBMED FULL PDF]

Ostriker, G., Pellionisz, A. &  Llinás, R. (1984) Tensorial Computer Movie Display of the Metaorganization of Oculomotor Metric Network. Soc. Neurosci. Absts. 10, p. 162

Pellionisz, A. (1984) Tensorial Computer Movie of the Genesis & Modification of Cerebellar Networks as Dyadic Expansions of the Eigenvectors Stored in the Inferior Olive. Soc. Neurosci. Absts. 10, p. 540 [FULL ABSTRACT PDF]

Simpson, JI. & Pellionisz, A. (1984) The Vestibulo-Ocular Reflex in Rabbit as Interpreted Using the Moore-Penrose Generalized Inverse Transformation of Intrinsic Coordinates. Soc. Neurosci. Absts. 10, p. 909 [FULL ABSTRACT PDF]

Llinás, R. & Pellionisz, A. (1984) La Mente in Quanto Proprieta Tensoriale dei Circuiti Cerebrali. In: Livelli di Realta, (ed. Palmarini, M.P.), Feltrinelli, Italy, pp. 191-198

Pellionisz, A. (1984) Coordination: A Vector-Matrix Description of Transformations of Overcomplete CNS Coordinates and a Tensorial Solution Using the Moore-Penrose Generalized Inverse. J. Theoret. Biol. 110, pp. 353-375 [PUBMED FULL PDF]

Pellionisz, A., Ostriker, G. & Llinás, R. (1983) Generation and Modification of Neuronal Networks Acting as Metric Tensors: A Computer Demonstration of the Process of Organizing Sensorimotor Transformations. Soc. Neurosci. Absts. 9, p. 310 [FULL ABSTRACT PDF]

Pellionisz, A., & Llinás, R. (1983) Metaorganization of Functional Geometries in the Brain: Genesis and Modification of Cerebellar and Sensorimotor Metric Tensors. Soc. Neurosci. Absts. 9. [FULL ABSTRACT PDF]

Pellionisz, A. (1983) Brain Theory: Connecting Neurobiology to Robotics. Tensor Analysis: Utilizing Intrinsic Coordinates to Describe, Understand and Engineer Functional Geometries to Intelligent Organisms. J. Theoret. Neurobiol. 2(3), pp. 185-211 [FULL PAPER PDF]

Pellionisz, A. (1983) Sensorimotor Transformations of Natural Coordinates via Neuronal Networks: Conceptual and Formal Unification of Cerebellar and Tectal Models. II. Workshop on Visuomotor Coordination in Frog and Toad. Models and Experiments. (org. by R. Lara & M. Arbib, Mexico City, 1982). COINS Techn. Report 83-19 Univ. of Massachusetts, Amherst, MA, pp. 1-20 [FULL BOOK CHAPTER PDF]

McCollum, G., Pellionisz, A. & Llinás, R. (1983) Tensorial Approach to Color Vision. J. Theoret. Neurobiol. 2(1), pp. 23-28 [FULL PAPER PDF]

Swerdloff, A. (1982) The Brain Builders. [Coverage on Drs. Pellionisz and Llinás] Science Digest, 90 (3) pp. 80-96. [FULL REFERENCE PAPER PDF]

Pellionisz, A. & Llinás, R. (1982) Tensor Theory of Brain Function. The Cerebellum as a Space-Time Metric. Chapter 23. In: Competition and Cooperation in Neural Nets. Proceedings of the US-Japan Joint Seminar, held at Kyoto, Japan (ed. by S. Amari and MA Arbib), Lecture Notes in Biomathematics #45 (managing ed. Levin, S), Springer Verlag, Berlin-Heidelberg-New York, pp. 394-417. [FULL BOOK CHAPTER PDF]

Pellionisz, A. & Llinás, R. (1982) Space-Time Representation in the Brain. The Cerebellum as a Predictive Space-Time Metric Tensor. Neuroscience, 7, pp. 2949-2970 [PUBMED FULL PDF]

Ostriker, G., Pellionisz, A. & & Llinás, R. (1982) Tensor Network Theory Applied to the Oculomotor System. CNS Activity Expressed with Natural Non-Orthogonal Coordinates. Soc. Neurosci. Absts. 8, p. 155 [FULL ABSTRACT PDF]

Malinow, R., Pellionisz, A. & Llinás, R. (1982) Tensor Network Theory Providing a Paradigm for Motor Control of Posture and Movement in Multilegged Systems. Soc. Neurosci. Absts. 8, p. 283

Pellionisz, A & Llinás, R. (1981) Genesis and Modification of the Geometry of CNS Hyperspace. Cerebellar Space-Time Metric Tensor and "Motor Learning". Soc. Neurosci. Absts. 7, p. 641. [FULL ABSTRACT PDF]

Pellionisz, A. & Llinás, R. (1980) Tensorial Representation of Space-Time in CNS: Sensory-MotorCoordination via Distributed Cerebellar Spacetime Metric. Soc. Neurosci. Absts. 6, p. 510. [FULL ABSTRACT PDF]

Pellionisz, A. & Llinás, R. (1980) Tensorial Approach to the Geometry of Brain Function: Cerebellar Coordination via Metric Tensor. Neuroscience, 5, p. 1125-1136 [PUBMED FULL PDF]

Pellionisz, A. & Pellionisz, A. & Llinás R. (1979) Cerebellar Coordination: Covariant Analysis and Contravariant Synthesis via Metric Tensor. A Tensorial Approach to the Geometry of Brain Function. Soc. Neurosci. Absts. 5, p. 105 [FULL ABSTRACT PDF]

Pellionisz, A. & Llinás R. (1979) A Note on a General Approach to the Problem of Distributed Brain Function. Matrix and Tensor Quarterly, The Journal of the Tensor & Matrix Society of Great Britain. 30, pp. 48-50 [FULL PAPER PDF]

Pellionisz, A. & Llinás R. (1979) The Cerebellum: A Neural System with Parallel Distributed Organization. AAAS Absts., Washington, DC., p. 54 [FULL ABSTRACT PDF]

Pellionisz, A. & Llinás, R. (1979) Brain Modeling by Tensor Network Theory and Computer Simulation. The Cerebellum: Distributed Processor for Predictive Coordination. Neuroscience, 4, pp. 323-348 [PUBMED FULL PDF]

Pellionisz, A. (1979) Modeling of Neurons and Neuronal Networks. In: The Neurosciences: IVth Study Program (eds: Schmitt, FO. & Worden, FG.) MIT Press, Boston, MA, pp. 525-546 [FULL BOOK CHAPTER PDF]

Pellionisz, A. (1979) Cerebellar Control Theory. In: Recent Developments of Neurobiology in Hungary, VIII. (ed. by Lissák, K.) Akadémiai Kiadó, Budapest pp. 211-243

Pellionisz, A. & Llinás, R. (1978) A Formal Theory for Cerebellar Function: The Predictive Distributed Property of the Cortico-Nuclear Cerebellar System as Described by Tensor Network Theory and Computer Simulation. Soc. Neurosci. Absts. 4, p. 68 [FULL ABSTRACT PDF]

Pellionisz, A. (1978) Synthesis of Fragmented Data on Neuronal Systems: A Computer Model of Cerebellum. In: Progress in Cybernetics and System Research. Vol. III. (ed. by Trappl, R., Klir, G.J. & Ricciardi, L.), John Wiley & Sons, New York, NY, pp. 411-427

Pellionisz, A. & Llinás, R. (1977) Analysis of Anuran Vestibulo-Cerebellar Control by Computer Modeling. Soc. Neurosci. Absts. 3, p. 60 [FULL ABSTRACT PDF]

Pellionisz, A. & Llinás, R. (1977) Computer Model of Cerebellar Purkinje Cells. Neuroscience, 2, pp. 37-48 [PUBMED FULL PDF]

Pellionisz, A., Llinás, R. & Perkel, DH. (1977) Computer Model of the Cerebellar Cortex of the Frog. Neuroscience, 2, p. 19-35 [PUBMED FULL PDF]

Pellionisz, A. (1977) The Cerebellar Cortex as an Array of Individually Tuned Purkinje Cells Providing an Overall "Dynamic Cushioning" of Jerky Motor Commands: Demonstration of a New Concept. In: Proceedings of the Symposium "Neuron Concept Today", Tihany. (eds. Hámori, J., Vizi, E.Sz. & Szentágothai, J.), Pergamon / Akadémiai Kiadó, Budapest, p. 281 [FULL BOOK CHAPTER PDF]

Pellionisz, A. & Llinás, R. (1977) Analysis of Spatial Distribution of Purkinje Cells with Individual Dynamisms Activated by Vestibular Input: A Computer Simulation Study. In: Proceedings of the Symposium "Neuron Concept Today", Tihany. (eds. Hámori, J., Vizi, E.Sz. & Szentágothai, J.), Pergamon / Akadémiai Kiadó, Budapest, p. 282 [FULL BOOK CHAPTER PDF]

Pellionisz, A. & Llinás, R. (1977) Analysis of Simple and Complex Spike Generator Mechanism of Dendritic Trees: A Computer Model of Purkinje Cell. In: Proceedings of the Symposium "Neuron Concept Today", Tihany. (eds. Hámori, J., Vizi E.Sz., & Szentágothai J.), Pergamon / Akadémiai Kiadó, Budapest, pp. 195-202

Pellionisz, A., Llinás, R. & Perkel, DH. (1977) Systematic Method for the Interpretation of Experimental Data within a Holistic Neuronal Circuitry: A Computer Model of the Cerebellum of Frog. In: Proceedings of the Symposium "Neuron Concept Today" , Tihany. (eds. Hámori, J., Vizi E.Sz., & Szentágothai, J.), Pergamon / Akadémiai Kiadó Budapest p. 276

Pellionisz, A. (1976) Proposal for Shaping the Dynamism of Purkinje Cells by Climbing Fiber Activation. Brain Theory Newsletter, 2, pp. 2-6

Pellionisz, A. & Llinás, R. (1976) Multikompartmentális Hodgkin-Huxley Kábelmodell a Purkinje Sejt Kúszórostjának Analízisére. Magyar Élettani Társaság 15. Vándorgyülésének Előadáskivonatai (Multicompartmental Hodgkin-Huxley Cable Model for the Analysis of the Climbing Fiber Response of Purkinje Cells. In: Proceedings of the 15th Annual Convention of the Society of Hungarian Physiologists.)

Pellionisz, A. (1976) Gipotesa Plastnichnosti Dinamizma Kletok Purkinje na Mozheckovuyu Sisthemu Koordinacii Dvizheniy. (A Hypothesis for the Plasticity of Purkinje Cells in the Cerebellar System for Coordination of Movements) In: Proceedings of IXth Symposium of Intercosmos, Budapest, p. 26.

Pellionisz, A. (1976) Proposal on System- and Purkinje Cell Levels for the Function of Cerebellum in Motor Control. Proceedings of the IIIrd Internatl. IUPS Symposium on Motor Control , Varna, p. 53

Pellionisz, A. & Pellionisz, A. & Llinás, R. (1975) Simple and Complex Spike Generation in a Computer Model of Cerebellar Purkinje Cells. Soc. Neurosci. Absts, 1, p. 319 [FULL PDF ABSTRACT]

Pellionisz, A. (1974) Számítógépes Szimulációs Modellezés: A Kisagykéreg Neuronhálózatának Szimulációja. (Computer Simulation Modeling: Simulation of Cerebellar Neuronal Networks). Orvos és Technika, 2, pp. 33-47

Pellionisz, A. (1974) Számítógépes Szimulációs Modellezés: A Kisagykéreg Neuronhálózatának Szimulációja. In: A Számitógépek és Orvosbiológiai Alkalmazásuk. (Computer Simulation Modeling: Simulation of Cerebellar Neuronal Networks. In: Computers and their Use in Medical Biology), (Ed. by Fedina, L.), Semmelweis Orvostudományi Egyetem, Budapest, pp. 198-212

Pellionisz, A. & Szentágothai, J. (1974) Dynamic Single Unit Simulation of a Realistic Cerebellar Network Model. II. Purkinje Cell Activity within the Basic Circuit and Modified by Inhibitory Systems. Brain Research, 68, pp. 19-40 [PUBMED FULL PDF]

Pellionisz, A. (1973) Kisagykérgi Ideghálózatok Strukturo-Funkcionális Elemzése a Számítógépes Szimuláció Módszerével. Kandidátusi Értekezés. (Structuro-Functional Analysis of Cerebellar Neuronal Networks by the Use of Computer Simulation Methods., Ph.D. Thesis, Advisor: J.Szentágothai), Hungarian Academy of Sciences, Budapest, pp. 1-107

Pellionisz, A. (1973) A számítógépek és orvos-biológiai alkalmazásuk. Biológiai rendszerek szimulációja. Orvos és Technika, pp.22-38

Szentágothai, J. & Pellionisz, A. (1973) A Quantitative Approach to Cerebellar Cortex Histology and its Significance for Computer Studies of the Cerebellar Neuron Network. Proceedings of the IVth Internatl. Conference: de la Physique Theorique a la Biologie, Versailles, France

Pellionisz, A., Palkovits, M., Hámori, J. Pintér, E. & Szentágothai, J. (1973) Quantitative Comparison of the Cerebellar Synaptic Organization of Immobilized and Normal Kittens. In: International Union for Pure & Applied Biophysics: IVth International Biophysics Congress Symposium Papers 3, Puschino, pp. 381-384

Pellionisz, A. & Szentágothai, J. (1973) Dynamic Single Unit Simulation of a Realistic Cerebellar Network Model. Brain Research, 49 (1), pp. 83-99 [PUBMED FULL PDF]

Pellionisz, A. & Szentágothai, J. (1973) Computer Simulation of the Cerebellar Neuronal Network: Cinematized Cerebellar Activity Model. In: International Union for Pure and Applied Biophysics: IVth International. Biophysics Congress. Symposium Papers. 4 (1), Puschino, pp. 61-62 [FULL ABSTRACT]

Pellionisz, A. (1972) Computer Simulation of the Cerebellar Cortex. Acta Cybernetica, 1, p. 287

Pellionisz, A. (1972) Számítógéppel Készült Szimulációs Film Kisagykérgi Neuronhálózatok Müködésének Modellezésére. In: Számítástechnikai és Kibernetikai Módszerek Alkalmazása az Orvostudományban és Biológiában c. III. Kollokvium Kiadványa. (Computerized Movie Display for Simulation of Neuronal Circuits of Cerebellum. In: Proceedings of the IIIrd Colloquium on Computers and Cybernetics in Biology and Medicine), Szeged, pp. 15-23

Pellionisz, A. (1972) Modelirovanie Predvaritelnoj Obrabotki Nervnoj Informacii Postupajuschei v Koru Mozecka s Pomoschu Vucislitelnih Mashin. (Modeling of the Processing of Information Arriving at the Cerebellar Cortex by Use of Digital Computer). Acta Cybernetica, 1, p. 280

Pellionisz, A. (1972) Computer Simulation of the Information Preprocessing in the Input of the Cerebellar Cortex. Acta Cybernetica 1, pp. 157-169. [FULL PAPER PDF]

Pellionisz, A. (1971) Számítógépek az Orvosbiológiai Kutatásban. In: Számítógép Alkalmazási Területek és Lehetőségek az Orvostudományban (ed. by B. Kanyár) (Computers in Biomedical Research. In: Fields and Possibilities for Use of Computers in Medicine). Semmelweis Orvostudományi Egyetem, Budapest, pp. 84-108

Pellionisz, A. (1971) A Kisagykéreg Működésének Számítógépes Szimulációja. In: Magyar Anatómusok, Hisztológusok és Embriológusok Társasága Kongresszusának Kiadványa (Computer Simulation of the Cerebellar Cortex. In: Proceedings of the Congress of Hungarian Anatomists, Histologists and Embryologists). Pécs, p. 26

Pellionisz, A. (1971) A Kisagykéreg Működésének Számítógépes Szimulációja. In:Számítástechnikai és Kibernetikai Módszerek Alkalmazása az Orvostudományban és Biológiában c. III. Kollokvium Kiadványa. (Computer Model of the Cerebellar Neuronal Network. In: Proceedings of the IIIrd Colloquium on Computers and Cybernetics in Biology and Medicine), Szeged, pp. 63-78

Szentágothai, J. & Pellionisz, A. (1971) The Neuronal Network of the Cerebellum and Attempt at its Modeling by Computer Simulation. In: Proceedings of the First European Biophysics Congress, Vienna, 5, Verlag der Wiener Med. Acad., Vienna, Austria, pp. 291-95 [FULL BOOK CHAPTER PDF]

Pellionisz, A. (1970) Computer Modeling of Cerebellar Neuronal Nets, In: Proceedings of the International Conference on Mathematical Modeling, Varna (In Russian: Modelirovanie Neironuh Shetej Mozhechka pri Ispholzovanii Vicislitelhih Mashini)

Pellionisz, A. (1970) Computer Simulation of the Pattern Transfer of Large Cerebellar Neuronal Fields. Acta Biochim. Biophys. Acad. Sci. Hung. 5, pp. 71-79 [PUBMED FULL PDF]

Pellionisz, A. (1968) Transfer Function of a Geometrical Neuronal Configuration of the Cerebellar Granular Layer. In: Proc. of the 5th Conference on Biophysics, Acta Biochim. Biophys. Acad. Sci. Hung. 3, p. 462 [FULL PDF]

Pellionisz, A. (1967) Neuronal Modeling. MSEE Thesis, Advisor: J. Szentágothai, Dept. of Process Control and Automation, Univ. Technology, Budapest (In Hungarian: Neuron Modellezés. Diplomaterv. Budapest Műszaki Egyetem Folyamatszabályozási Tanszék), pp. 1-74


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Biophysicist of Information Geometry of Nature.

For Neural Informatics, developed Tensor Network Theory of the Cerebellum, experimentally verified and F15 Fighter plane was controlled at NASA by artificial cerebellum. For this work, received the Humboldt Prize from Germany.

For Genome Informatics, he established Helixometry (2001) and submitted FractoGene Patent (2002, pending), which is the only algorithmic (fractal geometrical) interpretation of the Full Genome, including the 98.7% of "junk DNA" (in the human). As a result of Geometrization of Neuro- and Genome biology, the Cerebellum is the only part of the CNS that is mathematically explained both in its structuro-functional properties (sensorimotor metric tensor of the spacetime manifold) and in its physiological and pathological growth of its brain cells (the Purkinje neuron): the genetic code is mathematically explained from the DNA repetitive sequences in terms of fractal geometry; FractoGene

Pioneered the use of computers and Nature's mathematical algorithms in neural intelligence starting 1967 in Budapest, Hungary. In the USA, started as a Stanford Postdoctoral Fellow, followed by internationally recognized accomplishments in US Academia, Government and Private Industry. Presently, Dr. Pellionisz is the Founder of HelixoMetry in Silicon Valley. Steadfast pursuit of morphogenesis of the CNS, over a third of a Century, led to breakthrough applications in Bioinformatics by FractoGene, a geometrical generalization of the gene vs junkDNA concepts. Based on fractal mathematical toolkit, "CCC on DVD" the 4th Generation Genome Toolkit & Databank, as a Service Product is offered.

In Academic Research, Pellionisz, as professor of New York University was the originator of a pioneering Information Geometry approach to Neural Nets, Tensor Network Theory. TNT explains the function of 1/4 of the brain (the cerebellum) in terms of tensor analysis, the intrinsic mathematical language of Biological Neural Nets. The  key paper of TNT is re-published in his book on Neurocomputing (now also available in paperback), together with a lucid encapsulation of its significance by Prof. James Anderson (who also acted lately as Chief Scientist of another Internet start-up devoted to Net Intelligence). Pellionisz' TNT, as detailed in Prof. Patricia Churchland's book comparing Pellionisz' theory to that of Francis Crick is one of the few neural net approaches that is both neurobiology-based, plus provided quantitatively verifiable predictions, which furthermore have actually been proven by independent experimental neuroscientists (see Documentation). The mathematical neural net theory and its experimental confirmation reveals how the so-called "little brain", an existing neural net accomplishes space-time coordination (46). Once the book was published, the role of geometry in Neural Nets was immediately recognized by World leaders of the field, as well as by prominent Research and Development organizations (see Documentation). Even his early opponents turned, within half a decade, into followers. Now, before a decade is out after the book has been published, former antagonists appear as brazen champions of Information Geometry, by freely adopting Pellionisz' metric tensor neural net approach to non-Euclidean natural geometries to Riemannian spaces (see Documentation). In 1989b, Pellionisz published the first fractal morphogenesis of brain cell, See also FractoGene, com. For this accomplishments in Neurocomputing, Pellionisz was Awarded by Alexander von Humboldt Prize "for Senior distinguished American Scientists" (1990, New York University also noted Humboldt Award and summarized accomplishments of its Professor), and was awarded Doctor of the Hungarian National Academy (for Thesis of Lifetime Achievements 1990).

In Government R&D, Pellionisz, as a Senior Research Associate of the USA National Academy of Science to NASA, is the originator of NASA's "Flight Control by Neural Nets" initiative. The program materialized years later in 1999 by NASA flying an F15 fighter plane with neural nets

To bridge Academia, Government and Industry, Pellionisz established Silicon Valley Net Institute, which forged academic Information Geometry achievements into applications in innovative business models for the use of Internet by  Private Industry and Government Projects (109-110).

For Industrial Applications in Private Business, Pellionisz put in the last decade his academic foundation of Information Geometry into use in Internet Search and Categorization/Profiling/Recommendation by his Neural Net approach and 4-layer architecture (Rule Base, XML, Natural Language Processing, Neural Nets). As an Executive in a series of Silicon Valley Internet companies, Dr. Pellionisz helped validate Mr. Turing's vision half a century ago. Pellionisz served as a Principal Knowledge Engineer of Ernst & Young affiliate Kanisa in Cupertino, helping a classic "big six" establishment turn into a 21st Century Internet heavyweight, then as Principal E-Commerce Engineer at  independent e-mail start-up of Fabrik, San Francisco, as it transformed into E-commerce (later ROIdirect). Subsequently, he served as Chief Intelligence Officer and Sr. Architect at several Silicon Valley Information Technology Companies (Verge, Xmarksthespot, Mindmaker). As Chief Intelligence Officer of Mindmaker, Inc. a global intelligence portfolio headquartered in Silicon Valley, with subsidiaries and offices in Asia (Singapore), Europe (U.K., Belgium, Hungary), Dr. Pellionisz gained experience in top management and business development of global software company. At Mindmaker, Dr. Pellionisz established PureMatch, a division of Mindmaker. In 2001, PureMatch, inc. became an independent Silicon Valley Spin-Off with Pellionisz as Founder and CEO, a California corporation for e-Commerce (particularly m-Commerce) Personalization, that Pellionisz divested. Subsequently, synthesizing his engineering and biology degrees, his neurocomputing expertise and experience in industrial scale global software development, Dr. Pellionisz became the Founder, CEO and COB of HelixoMetry, inc, to pursue Bioinformatics in Silicon Valley, based on the fractal mathematical "language" of DNA and "Junk DNA", FractoGene.

Dr. Pellionisz in 2005 Founded "International PostGenetics Society, IPGS" - an organization to put priority #1 on (formerly) "Junk DNA", and for the "European Inaugural of IPGS" received European Union Visiting Professorship to Hungary (2006). Dr. Pellionisz is fostering development of "PostGenetics Ctr"-s in several regions, and is leading an effort in PostGenetics to a) develop proprietary pioneering software that "looking beyong Genes" calls for, b) organize regional Inaugurals of IPGS (USA, Asiapacific), c) establish publication channels for PostGenetics, d) adjusting policies of resource allocation by regional programs/governments to the priorities of the PostModern era of Genetics (beyond Genes).

Support of Claims

Tensor Net Theory (TNT) was proven by neurobiological research (1) Gielen, C.C.A.M. and E. J. van Zuylen.(The Netherlands) Coordination of arm muscles during flexion and supination: Application of the tensor analysis approach. Neuroscience. 17: 527-539, 1986, and (2) Peterson et al. (Chicago, IL, USA, 1985) Relation Between Neck Muscle Pulling Directions and Activity by the VCR: Experimental Test of a Tensor Model. Soc. Neurosci. Absts. 11. p.

Concerning the emerging role of geometry in neuroinformatics (1990) By Eckmiller, R. In: "Parallel Processing in Neural Systems and Computers". Eckmiller, Hartmann and Hauske eds. Elsevier Science Publ. B.V (North Holland). Amsterdam.pp. 5-8

First, a "critique" then a turnaround by Arbib, M. and Amari, S.I. (1985) J. Theor. Biol. 112, 123-155 (with immediate response by Pellionisz in #57), followed by  Amari, S: (1991) "Dualistic Geometry of the Manifold of Higher-Order Neurons. Neural Networks" [using covariant and contravariant metric tensors]: 4(4): 443-451, and now Amari, S. and S.Wu (1999) Improving support vector machine classifiers by modifying kernel functions. [using Riemannian metric tensors as foundation of "Information Geometry"]. Neural Networks, Vol.12, No.6

Terry Sejnowski and McNaughton adopt (20 years after) the dual tensorial approach for the hippocampus (See their Fig. 4. and references to Pellionisz' Tensor Network Theory papers).

An F-15 fighter plane was flown by neural nets by NASA within a decade after Pellionisz as a Senior Research Associate of the USA National Academy of Science to NASA originated NASA's "Flight Control by Neural Nets" initiative

A collection of Pellionisz' main public websites

Co-workers of Pellionisz in Tensor Network Theory and Independent Schools Greatly Influenced by TNT

Some samples of citations of Tensor Network Theory (html only)

Citations of Tensor Network Theory (doc, pdf, ps, etc. formats)

HelixoMetry, inc. was established by Dr. Pellionisz as Founder, CEO and COB as a California C corporation to solely focus on Personalized Medicine (using his 4-layer intelligence algorithm, AI, XML, NLP and Neural Nets, in genomics, microarray data-analysis, personalized drug discovery, development and recommendation). As he outlined as early as a decade ago in his NIH/NIMH/NASA/NSF "decade of the brain program" we are now at the brink that neural net technologies of non-Euclidean metrical and fractal geometries. Pellionisz studied in morphogenesis of cerebellum (1977, #30), and pioneered fractal genetic determination of Purkinje neurons (1989). This Intellectual Property in Information Technology now finds its application in deciphering the highly repetitious, self-similar, fractal-like DNA genome. In joint venture with several Intellectual Property companies (e.g. Translation Companies hitherto for Natural Languages), HelixoMetry developed an entirely new business model (4th Generation Genome Database, a CCC on DVD Service Product), bundled with FractoGene, "the new mathematical language of the Genetic Code".