Computational connectionism within neurons: A model of cytoskeletal automata subserving neural networks.
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MT automata based on tubulin dipoles in hexagonal lattices show high capacity integration and learning.
“MT automata based on tubulin dipoles in hexagonal lattices show high capacity integration and learning [61].”
From Consciousness in the universe (2014) · cites this paper as [61]
MTs have been modeled as von Neumann-type cellular/molecular automata in which tubulin subunits interact with neighbor tubulin states by rules based on dipole coupling strengths.
“For example MTs have been modeled as von Neumann-type cellular/molecular automata (‘microtubule automata’) in which tubulin subunits interact with neighbor tubulin states by rules based on dipole coupling strengths [50], [61].”
From Cytoskeletal signaling: is memory encoded in microtubule lattices by CaMKII phosphorylation? (2012) · cites this paper as [50]
Simulations show oscillating wedge-shaped, triangular and hexagonal patterns of tubulin states, which evolve, compute and can learn.
“Simulations show oscillating wedge-shaped, triangular and hexagonal patterns of tubulin states, which evolve, compute and can learn [50].”
From Cytoskeletal signaling: is memory encoded in microtubule lattices by CaMKII phosphorylation? (2012) · cites this paper as [50]
Cites
Neural networks and physical systems with emergent collective computational abilities.
Hopfield, J. J. (1982) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.79.8.2554 · Cited by 19,270 · see citing works
Hebb, D. O. (2005) · doi:10.4324/9781410612403 · Cited by 9,825 · see citing works
indicated, N. A. (1950) · Journal of Consulting Psychology · doi:10.1037/h0049612 · Cited by 6,984 · see citing works
Seel, P. D. N. M. (2012) · Springer eBooks · doi:10.1007/978-1-4419-1428-6_5794 · Cited by 2,566 · see citing works
Amit, D. J. (1989) · Cambridge University Press eBooks · doi:10.1017/cbo9780511623257 · Cited by 2,279 · see citing works
Lectu re Notes in Biomathematics
Levin, S. A. (1983) · Cited by 1,568 · see citing works
Computation at the edge of chaos: Phase transitions and emergent computation
Langton, C. G. (1990) · Physica D: Nonlinear Phenomena · doi:10.1016/0167-2789(90)90064-v · Cited by 1,527 · see citing works
Mass action in the nervous system
Freeman, W. J. (1975) · Cited by 1,480 · see citing works
Beyond self-assembly: From microtubules to morphogenesis
Kirschner, M. W. (1986) · Cell · doi:10.1016/0092-8674(86)90318-1 · Cited by 1,362 · see citing works
The Origin of Consciousness in the Breakdown of the Bicameral Mind
Jaynes, J. (1976) · Medical Entomology and Zoology · Cited by 1,287 · see citing works
DYNAMICS OF PROTEINS: ELEMENTS AND FUNCTION
Kurplus, M., & McCammon, J. A. (1983) · Annual Review of Biochemistry · doi:10.1146/annurev.bi.52.070183.001403 · Cited by 686 · see citing works
Mass action in the nervous system
Jindra, R. H. (1976) · Neuroscience · doi:10.1016/0306-4522(76)90135-4 · Cited by 653 · see citing works
Arrangement of subunits in flagellar microtubules
Amos, L. A., & Klug, A. (1974) · Journal of Cell Science · doi:10.1242/jcs.14.3.523 · Cited by 514 · see citing works
Perspectives on Cognitive Neuroscience
Churchland, P. S., & B, T. J. S. A. (1988) · Science · doi:10.1126/science.3055294 · Cited by 505 · see citing works
Molecular mechanisms of general anaesthesia
Franks, N. P., & Lieb, W. R. (1982) · Nature · doi:10.1038/300487a0 · Cited by 436 · see citing works
The extraordinary dielectric properties of biological materials and the action of enzymes.
Fröhlich, H. (1975) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.72.11.4211 · Cited by 320 · see citing works
Long Range Coherence and the Action of Enzymes
Fröhlich, H. (1970) · Nature · doi:10.1038/2281093a0 · Cited by 308 · see citing works
The Social Brain: Discovering the Networks of the Mind
Gazzaniga, M. S. (1987) · Medical Entomology and Zoology · Cited by 299 · see citing works
Long-term potentiation: from biophysics to behavior
Hughes, J. R. (1988) · Electroencephalography and Clinical Neurophysiology · doi:10.1016/0013-4694(88)90122-8 · Cited by 224 · see citing works
Long-term potentiation : from biophysics to behavior
Landfield, P. W., & Deadwyler, S. A. (1988) · Liss eBooks · Cited by 223 · see citing works
Information processing in microtubules
Hameroff, S. R., & Watt, R. C. (1982) · Journal of Theoretical Biology · doi:10.1016/0022-5193(82)90137-0 · Cited by 217 · see citing works
On design principles for a molecular computer
Conrad, M. (1985) · Communications of the ACM · doi:10.1145/3532.3533 · Cited by 207 · see citing works
A Rosetta stone for connectionism
Farmer, J. D. (1990) · Physica D Nonlinear Phenomena · doi:10.1016/0167-2789(90)90072-w · Cited by 204 · see citing works
Nonlinear Electrodynamics in Biological Systems
ADEY, W. R., & Lawrence, A. F. (1984) · Springer eBooks · doi:10.1007/978-1-4613-2789-9 · Cited by 177 · see citing works
PYROELECTRIC AND PIEZOELECTRIC PROPERTIES OF VERTEBRATES
Athenstaedt, H. (1974) · Annals of the New York Academy of Sciences · doi:10.1111/j.1749-6632.1974.tb26780.x · Cited by 150 · see citing works
Extensive cAMP-dependent and cAMP-independent phosphorylation of microtubule-associated protein 2.
Theurkauf, W. E., & Vallee, R. B. (1983) · Journal of Biological Chemistry · doi:10.1016/s0021-9258(18)32261-0 · Cited by 147 · see citing works
Protein structural fluctuations during a period of 100 ps
Karplus, M., & McCammon, J. A. (1979) · Nature · doi:10.1038/277578a0 · Cited by 142 · see citing works
Plasticity in Brain Development
Aoki, C. J., & Siekevitz, P. (1988) · Scientific American · doi:10.1038/scientificamerican1288-56 · Cited by 139 · see citing works
Brain spectrin, calpain and long-term changes in synaptic efficacy
LYNCH, G. S., & Baudry, M. (1987) · Brain Research Bulletin · doi:10.1016/0361-9230(87)90220-6 · Cited by 139 · see citing works
Sharp Resonances in Yeast Growth Prove Nonthermal Sensitivity to Microwaves
Grundler, W., & Keilmann, F. (1983) · Physical Review Letters · doi:10.1103/physrevlett.51.1214 · Cited by 136 · see citing works
Ultimate Computing: Biomolecular Consciousness and NanoTechnology
Hameroff, S. R. (1987) · CERN Document Server (European Organization for Nuclear Research) · Cited by 128 · see citing works
Self-citationUltimate computing: Biomolecular consciousness and nanotechnology
Koruga, D. L. (1988) · Biosystems · doi:10.1016/0303-2647(88)90052-4 · Cited by 122 · see citing works
The dynamic ordering of neuronal cytoskeletons.
Rj, L. (1981) · PubMed · Cited by 104 · see citing works
Matsumoto, G., & Sakai, H. (1979) · The Journal of Membrane Biology · doi:10.1007/bf01868784 · Cited by 96 · see citing works
Axoplasmic transport and its relation to other nerve functions
Banks, P. A. (1983) · Neuroscience · doi:10.1016/0306-4522(83)90154-9 · Cited by 92 · see citing works
Microtubule theory of sensory transduction
Atema, J. (1973) · Journal of Theoretical Biology · doi:10.1016/0022-5193(73)90233-6 · Cited by 91 · see citing works
Axoplasmic transport and its relation to other nerve functions
Ochs, S. (1982) · Cited by 89 · see citing works
EFFECTS OF GENERAL ANÆSTHETICS ON MICROTUBULES
ALLISON, A. C., & Nunn, J. F. (1968) · The Lancet · doi:10.1016/s0140-6736(68)91821-7 · Cited by 88 · see citing works
THE ELECTRET EFFECT IN BONE AND BIOPOLYMERS AND THE BOUND‐WATER PROBLEM*
Mascarenhas, S. (1974) · Annals of the New York Academy of Sciences · doi:10.1111/j.1749-6632.1974.tb26778.x · Cited by 84 · see citing works
DEBRABANDER, M. (1982) · Cell Biology International Reports · doi:10.1016/0309-1651(82)90001-7 · Cited by 63 · see citing works
Mileusnić, R., Rose, S. P. R., & Tillson, P. (1980) · Journal of Neurochemistry · doi:10.1111/j.1471-4159.1980.tb09678.x · Cited by 63 · see citing works
Tsukita, S., Tsukita, S., Kobayashi, T., & Matsumoto, G. (1986) · The Journal of Cell Biology · doi:10.1083/jcb.102.5.1710 · Cited by 63 · see citing works
The nature of the clear zone around microtubules
Stebbings, H., & Hunt, C. (1982) · Cell and Tissue Research · doi:10.1007/bf00204791 · Cited by 62 · see citing works
Fluorescence techniques for following interactions of microtubule subunits and membranes
BECKER, J. S., Oliver, J. M., & Berlin, R. D. (1975) · Nature · doi:10.1038/254152a0 · Cited by 60 · see citing works
Electronic Delocalization and Biochemical Evolution
Pullman, B., & Pullman, A. (1962) · Nature · doi:10.1038/1961137a0 · Cited by 58 · see citing works
The Possible Involvement of Brain Microtubules in Memory Fixation
Cronly-Dillon, J. R., Carden, D. E., & Birks, C. (1974) · Journal of Experimental Biology · doi:10.1242/jeb.61.2.443 · Cited by 56 · see citing works
Dynamic aspects of microtubule biology.
Soifer, D. (1986) · PubMed · Cited by 52 · see citing works
Selective Networks and Recognition Automata*
Reeke, G. N., & Edelman, G. M. (1984) · Annals of the New York Academy of Sciences · doi:10.1111/j.1749-6632.1984.tb16520.x · Cited by 49 · see citing works
Cellular automata in cytoskeletal lattices
Smith, S. A., Watt, R. C., & Hameroff, S. R. (1984) · Physica D Nonlinear Phenomena · doi:10.1016/0167-2789(84)90259-8 · Cited by 41 · see citing works
Self-citationIntermembrane linkage mediated by tubulin
Vassilev, P., Kanazirska, M. P., & Tien, H. T. (1985) · Biochemical and Biophysical Research Communications · doi:10.1016/0006-291x(85)90642-4 · Cited by 38 · see citing works
Koryta, J. (1987) · Electrochimica Acta · doi:10.1016/0013-4686(87)80047-6 · Cited by 36 · see citing works
Secondary structure analysis of tubulin and microtubules with Raman spectroscopy
Audenaert, R., Heremans, L., Heremans, K., et al. (1989) · Biochimica et Biophysica Acta (BBA) - Protein Structure and Molecular Enzymology · doi:10.1016/0167-4838(89)90102-7 · Cited by 33 · see citing works
Automaton Model of Dynamic Organization in Microtubules
Hameroff, S. R., Smith, S. A., & WATT, R. C. (1986) · Annals of the New York Academy of Sciences · doi:10.1111/j.1749-6632.1986.tb38482.x · Cited by 32 · see citing works
Self-citation(1980) · Elsevier eBooks · doi:10.1016/c2013-0-05954-3 · Cited by 32 · see citing works
Computer Culture: The Scientific, Intellectual, and Social Impact of the Computer
Pagels, H. R. (1984) · New York Academy of Sciences eBooks · Cited by 31 · see citing works
Biochemical and Chemical Properties of Tubulin Subspeciesa
Lee, J. C., Field, D. J., George, H. J., et al. (1986) · Annals of the New York Academy of Sciences · doi:10.1111/j.1749-6632.1986.tb38388.x · Cited by 31 · see citing works
Molecular Automata in Microtubules: Basic Computational Logic of the Living State?
Hameroff, S. R., Rasmussen, S., & Månsson, B. (1988) · Artificial Life · Cited by 30 · see citing works
Self-citationKobayashi, T., Tsukita, S., Tsukita, S., et al. (1986) · The Journal of Cell Biology · doi:10.1083/jcb.102.5.1699 · Cited by 27 · see citing works
Factors Regulating the Presence of Microtubules in Cells
Soifer, D. (1986) · Annals of the New York Academy of Sciences · doi:10.1111/j.1749-6632.1986.tb38378.x · Cited by 25 · see citing works
Axonal microtubules: Their regulation by the electrical activity of the nerve
Álvarez, J., & Ramírez, B. U. (1979) · Neuroscience Letters · doi:10.1016/0304-3940(79)91522-2 · Cited by 23 · see citing works
Neurophysiology: The Essentials
Somjen, G. G. (1983) · Medical Entomology and Zoology · Cited by 22 · see citing works
Gradionation: Hypothesis for Positioning and Patterning*
Roth, L. E., & Pihlaja, D. J. (1977) · The Journal of Protozoology · doi:10.1111/j.1550-7408.1977.tb05273.x · Cited by 21 · see citing works
Nonlinear Electrodynamics in Cytoskeletal Protein Lattices
Hameroff, S. R., Smith, S. A., & Watt, R. C. (1984) · Springer eBooks · doi:10.1007/978-1-4613-2789-9_37 · Cited by 19 · see citing works
Self-citationDifferential Expression of the β‐Tubulin Multigene Family during Rat Brain Developmenta
Farmer, S. R., Robinson, G. S., Mbangkollo, D., et al. (1986) · Annals of the New York Academy of Sciences · doi:10.1111/j.1749-6632.1986.tb38383.x · Cited by 19 · see citing works
Spatial organization of the microtubule-associated proteins of reassembled brain microtubules
Burns, R. G. (1978) · Journal of Ultrastructure Research · doi:10.1016/s0022-5320(78)90023-0 · Cited by 17 · see citing works
Neurophysiology-the Essentials
Rothwell, J. C. (1984) · Journal of Neurology Neurosurgery & Psychiatry · doi:10.1136/jnnp.47.7.758-b · Cited by 15 · see citing works
Isolation and Characterization of Two Rat Alpha‐Tubulin Isotypesa
Ginzburg, I., TEICHMAN, A., & Littauer, U. Z. (1986) · Annals of the New York Academy of Sciences · doi:10.1111/j.1749-6632.1986.tb38382.x · Cited by 12 · see citing works
Natural and Artificial Intelligence: Processor Systems Compared to the Human Brain
de Callataÿ, A. M. (1986) · Medical Entomology and Zoology · Cited by 8 · see citing works
Some Aspects of Charge Transfer in Biological Systems
Gutmann, F. (1986) · Springer eBooks · doi:10.1007/978-1-4613-2105-7_6 · Cited by 6 · see citing works
The Organized Assembly and Function of the Microtubule System throughout the Cell Cycle
Brabander, M. D., Geuens, G., Mey, J. D., et al. (1980) · Elsevier eBooks · doi:10.1016/b978-0-08-025534-7.50008-2 · Cited by 4 · see citing works
Electronic Delocalization and Biochemical Evolution
Lemberg, R. (1963) · Nature · doi:10.1038/1981224b0 · Cited by 3 · see citing works
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- Authors
- Rasmussen, S., Karampurwala, H., Vaidyanath, R., Jensen, K. S., & Hameroff, S.
- Affiliations
- Los Alamos National Laboratory (US)
- University of Arizona (US)
- University of Colorado System (US)
- Corresponding author
- Rasmussen, Steen
- Hameroff, Stuart
- Venue
- Physica D Nonlinear Phenomena
- Publisher
- Elsevier BV
- Published
- 1990-06
- Volume
- 42
- Issue
- 1-3
- Pages
- 428-449
- ISSN
- 0167-2789 (ISSN-L)
- OpenAlex
- W2180958084
- Cited by
- 153
- References
- 71
- Citations by year
- 2026: 1 · 2024: 5 · 2023: 3 · 2022: 2 · 2020: 2 · 2019: 20 · 2018: 3 · 2017: 2 · 2016: 5 · 2015: 5 · 2014: 5 · 2013: 4 · 2012: 2
- FWCI
- 4.40
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physica D Nonlinear Phenomena (publishedVersion)
- Topics
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Cellular Automata and Applications
- Life Sciences › Neuroscience › Cognitive Neuroscience › Neural dynamics and brain function
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Cell Biology › Microtubule and mitosis dynamics
- Keywords
- cytoskeleton, microtubules, cellular automata, neural information processing, associative learning, microtubule assembly and disassembly, cognition, intracellular transport, eukaryotic cells
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