Long-range coherence and energy storage in biological systems.
Abstract
Abstract Biological systems are expected to have a branch of longitudinal electric modes in a frequency region between 10 11 and 10 12 sec −1 . They are based on the dipolar properties of cell membranes; of certain bonds recurring in giant molecules (such as H bonds) and possibly on pockets of non‐localized electrons. In Section 2 it is shown quit generally that if energy is supplied above a certain mean rate to such a branch, then a steady state will be reached in which a single mode of this branch is very strongly excited. The supplied energy is thus not completely thermalized but stored in a highly ordered fashion. This order expresses itself in long‐range phase correlations; the phenomenon has considerable similarity with the low‐temperature condensation of a Bose gas. General consequences and proposals of experiments are discussed in section 3.
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In proposed microtubule automata, tubulin states interact and update coherently at discrete time steps attributed to theorized or experimentally observed coherent MT resonances, potentially resulting in millions of synchronized updates per second.
“In such proposed microtubule automata, tubulin states interact and update coherently at discrete time steps attributed to theorized [62] or experimentally-observed coherent MT resonances, e.g. in the low megahertz range [53], potentially resulting in millions of synchronized updates per second [63].”
From Cytoskeletal signaling: is memory encoded in microtubule lattices by CaMKII phosphorylation? (2012) · cites this paper as [62]
Cites
Concept of Off-Diagonal Long-Range Order and the Quantum Phases of Liquid He and of Superconductors
Yang, C. N. (1962) · Reviews of Modern Physics · doi:10.1103/revmodphys.34.694 · Cited by 1,442 · see citing works
Bose condensation of strongly excited longitudinal electric modes
Fröhlich, H. (1968) · Physics Letters A · doi:10.1016/0375-9601(68)90242-9 · Cited by 273 · see citing works
Self-citation
Flagged first, then by citations
Cited by
Sorted by citations
Terahertz Technology in Biology and Medicine
Siegel, P. H. (2004) · IEEE Transactions on Microwave Theory and Techniques · doi:10.1109/tmtt.2004.835916 · Cited by 1,406 · see citing works
Electric field-mediated fusion and related electrical phenomena
Zimmermann, U. (1982) · Biochimica et Biophysica Acta (BBA) - Reviews on Biomembranes · doi:10.1016/0304-4157(82)90007-7 · Cited by 1,013 · see citing works
Hameroff, S., & Penrose, R. (2014) · Physics of Life Reviews · doi:10.1016/j.plrev.2013.08.002 · Cited by 983 · see citing works
“But even complex, active integration in Hodgkin–Huxley neurons would, apart from an entirely probabilistic (random) input, be completely algorithmic and deterministic, leaving no apparent place for a free will aspect of consciousness.”
BackgroundOrchestrated reduction of quantum coherence in brain microtubules: a model for consciousness
Hameroff, S., & Penrose, R. (1996) · Mathematics and Computers in Simulation · doi:10.1016/0378-4754(96)80476-9 · Cited by 641 · see citing works
Bawin, S. M., & ADEY, W. R. (1976) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.73.6.1999 · Cited by 436 · see citing works
Electromagnetic effects—From cell biology to medicine
Funk, R. H. W., Monsees, T., & Özkucur, N. (2009) · Progress in Histochemistry and Cytochemistry · doi:10.1016/j.proghi.2008.07.001 · Cited by 423 · see citing works
The Biological Effects of Microwaves and Related Questions
Fröhlich, H. (1980) · Advances in electronics and electron physics · doi:10.1016/s0065-2539(08)60259-0 · Cited by 416 · see citing works
Self-citationQuantum mechanical tunnelling in biological systems
Devault, D. (1980) · Quarterly Reviews of Biophysics · doi:10.1017/s003358350000175x · Cited by 406 · see citing works
Quantum computation in brain microtubules: decoherence and biological feasibility
Hagan, S., Hameroff, S. R., & Tuszyński, J. A. (2002) · Physical Review E · doi:10.1103/physreve.65.061901 · Cited by 389 · see citing works
Quantum computation in brain microtubules? The Penrose–Hameroff ‘Orch OR‘ model of consciousness
Hameroff, S. R. (1998) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.1998.0254 · Cited by 368 · see citing works
Electromagnetic cellular interactions
Cifra, M., Fields, J. Z., & Farhadi, A. (2010) · Progress in Biophysics and Molecular Biology · doi:10.1016/j.pbiomolbio.2010.07.003 · Cited by 340 · 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
Self-citationMatter manipulation with extreme terahertz light: Progress in the enabling THz technology
Salén, P., Basini, M., Bonetti, S., Hebling, J., Krasilnikov, M., Nikitin, A. Y., Shamuilov, G., Tibai, Z., Zhaunerchyk, V., & Goryashko, V. (2019) · Physics Reports · doi:10.1016/j.physrep.2019.09.002 · Cited by 262 · see citing works
Mechanisms for interaction between RF fields and biological tissue
Challis, L. J. (2005) · Bioelectromagnetics · doi:10.1002/bem.20119 · Cited by 224 · 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
(1994) · Journal of Consciousness Studies · Cited by 216 · see citing works
Fat Liquefaction: Effect of Low-Level Laser Energy on Adipose Tissue
Neira, R., Arroyave, J. A., Ramirez, H., Ortiz, C. L., Solarte, E., Sequeda, F., & Gutiérrez, M. I. (2002) · Plastic & Reconstructive Surgery · doi:10.1097/00006534-200209010-00030 · Cited by 207 · see citing works
Quantum optical coherence in cytoskeletal microtubules: implications for brain function
Jibu, M., Hagan, S. L., Hameroff, S. R., Pribram, K. H., & Yasue, K. (1994) · Biosystems · doi:10.1016/0303-2647(94)90043-4 · Cited by 207 · see citing works
Molecular Semiconductors for Logic Operations: Dead‐End or Bright Future?
Schweicher, G., Garbay, G., Jouclas, R., Vibert, F., Devaux, F., & Geerts, Y. H. (2020) · Advanced Materials · doi:10.1002/adma.201905909 · Cited by 204 · see citing works
Conscious Events as Orchestrated Space-Time Selections
Hameroff, S. R., & Penrose, R. (2007) · NeuroQuantology · doi:10.14704/nq.2003.1.1.3 · Cited by 201 · see citing works
Conduction pathways in microtubules, biological quantum computation, and consciousness
Hameroff, S. R., Nip, A. M. L., Porter, M., & Tuszyński, J. A. (2002) · Biosystems · doi:10.1016/s0303-2647(01)00183-6 · Cited by 198 · see citing works
The origins of quantum biology
McFadden, J., & Al-Khalili, J. (2018) · Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rspa.2018.0674 · Cited by 192 · see citing works
Does quantum mechanics play a non-trivial role in life?
Davies, P. C. W. (2004) · Biosystems · doi:10.1016/j.biosystems.2004.07.001 · Cited by 187 · see citing works
Frequency and power windowing in tissue interactions with weak electromagnetic fields
ADEY, W. R. (1980) · Proceedings of the IEEE · doi:10.1109/proc.1980.11591 · Cited by 179 · see citing works
The role of protein fluctuations in enzyme action: A review
Welch, G. R., Somogyi, B., & Damjanovich, S. (1982) · Progress in Biophysics and Molecular Biology · doi:10.1016/0079-6107(83)90015-9 · Cited by 179 · see citing works
Popp, F. A., Nagl, W., Li, K. H., Scholz, W., Weingärtner, O., & Wolf, R. (1984) · Cell Biophysics · doi:10.1007/bf02788579 · Cited by 176 · see citing works
Cytoskeletal signaling: is memory encoded in microtubule lattices by CaMKII phosphorylation?
Craddock, T. J. A., Tuszynski, J. A., & Hameroff, S. (2012) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1002421 · Cited by 160 · see citing works
Romanenko, S., Begley, R., Harvey, A. R., Hool, L. C., & Wallace, V. P. (2017) · Journal of The Royal Society Interface · doi:10.1098/rsif.2017.0585 · Cited by 157 · see citing works
Biophysical limits on athermal effects of RF and microwave radiation
Adair, R. K. (2002) · Bioelectromagnetics · doi:10.1002/bem.10061 · Cited by 144 · see citing works
Selective long range dispersion forces between large systems
Fröhlich, H. (1972) · Physics Letters A · doi:10.1016/0375-9601(72)91060-2 · Cited by 140 · see citing works
Self-citationConsciousness and Bose-Einstein condensates
Marshall, I. N. (1989) · New Ideas in Psychology · doi:10.1016/0732-118x(89)90038-x · Cited by 139 · see citing works
Resonant growth rate response of yeast cells irradiated by weak microwaves
Grundler, W., Keilmann, F., & Fröhlich, H. (1977) · Physics Letters A · doi:10.1016/0375-9601(77)90696-x · Cited by 139 · see citing works
Self-citationElectric field generated by axial longitudinal vibration modes of microtubule
Cifra, M., Pokorný, J., Havelka, D., & Kučera, O. (2010) · Biosystems · doi:10.1016/j.biosystems.2010.02.007 · Cited by 137 · see citing works
Consciousness in the Universe: Neuroscience, Quantum Space-Time Geometry and Orch OR Theory
Penrose, R., & Hameroff, S. R. (2011) · Cited by 139 · see citing works
Low‐frequency Raman spectra of lysozyme
Genzel, L., Keilmann, F., Martin, T. P., Wintreling, G., Yacoby, Y., Fröhlich, H., & Makinen, M. W. (1976) · Biopolymers · doi:10.1002/bip.1976.360150115 · Cited by 138 · see citing works
Self-citationLong range coherence in biological systems
Fröhlich, H. (1977) · La Rivista Del Nuovo Cimento Series 2 · doi:10.1007/bf02747279 · Cited by 137 · see citing works
Self-citationLow‐level laser therapy for fat layer reduction: A comprehensive review
Avci, P., Nyame, T. T., Gupta, G., Sadasivam, M., & Hamblin, M. R. (2013) · Lasers in Surgery and Medicine · doi:10.1002/lsm.22153 · Cited by 136 · see citing works
Laser-Raman spectroscopy of living cells
Webb, S. J. (1980) · Physics Reports · doi:10.1016/0370-1573(80)90149-0 · Cited by 130 · see citing works
Numerical Solutions and Synchronization of a Variable-Order Fractional Chaotic System
Hammouch, Z., Yavuz, M., & Özdemir, N. (2021) · Mathematical Modelling and Numerical Simulation with Applications · doi:10.53391/mmnsa.2021.01.002 · Cited by 128 · see citing works
Evidence for Bose condensation-like excitation of coherent modes in biological systems
Fröhlich, H. (1975) · Physics Letters A · doi:10.1016/0375-9601(75)90300-x · Cited by 126 · see citing works
Self-citationFleming, G. R., Scholes, G. D., & Cheng, Y. (2011) · Procedia Chemistry · doi:10.1016/j.proche.2011.08.011 · Cited by 127 · see citing works
Effects of weak magnetic fields on biological systems: physical aspects
Binhi, V. N., & Savin, A. V. (2003) · Physics-Uspekhi · doi:10.1070/pu2003v046n03abeh001283 · Cited by 123 · see citing works
Coherent Electric Vibrations in Biological Systems and the Cancer Problem
Fröhlich, H. (1978) · IEEE Transactions on Microwave Theory and Techniques · doi:10.1109/tmtt.1978.1129446 · Cited by 122 · see citing works
Self-citationSheppard, A. R., Swicord, M. L., & Balzano, Q. (2008) · Health Physics · doi:10.1097/01.hp.0000319903.20660.37 · Cited by 122 · see citing works
Rahnama, M., Tuszyński, J. A., Bókkon, I., Cifra, M., Sardar, P., & Salari, V. (2011) · Journal of Integrative Neuroscience · doi:10.1142/s0219635211002622 · Cited by 129 · see citing works
Reimers, J. R., McKemmish, L. K., McKenzie, R. H., Mark, A. E., & Hush, N. S. (2009) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0806273106 · Cited by 116 · see citing works
Vibrational Resonances in Biological Systems at Microwave Frequencies
Adair, R. K. (2002) · Biophysical Journal · doi:10.1016/s0006-3495(02)75473-8 · Cited by 109 · see citing works
Coherence susceptibility as a probe of quantum phase transitions
Chen, J., Cui, J., Zhang, Y.-R., & Fan, H. (2016) · Physical Review A · doi:10.1103/physreva.94.022112 · Cited by 107 · see citing works
Terahertz technology in biology and medicine
Siegel, P. H. (2004) · IEEE MTT-S International Microwave Symposium digest · doi:10.1109/mwsym.2004.1338880 · Cited by 107 · see citing works
A quantum approach to visual consciousness
Woolf, N. J., & Hameroff, S. R. (2001) · Trends in Cognitive Sciences · doi:10.1016/s1364-6613(00)01774-5 · Cited by 106 · see citing works
Cellular effects of terahertz waves
Черкасова, О. П., Serdyukov, D. S., Nemova, E. F., Ratushnyak, A. S., Kucheryavenko, A. S., Dolganova, I. N., Xu, G., Skorobogatiy, M. A., Reshetov, I. V., Timashev, P. S., et al. (2021) · Journal of Biomedical Optics · doi:10.1117/1.jbo.26.9.090902 · Cited by 114 · see citing works
Fractal and chaotic dynamics in nervous systems
King, C. C. (1991) · Progress in Neurobiology · doi:10.1016/0301-0082(91)90003-j · Cited by 102 · see citing works
Pokorný, J., Jelínek, F., Trkal, V., Lamprecht, I., & Hölzel, R. (1997) · Journal of Biological Physics · doi:10.1023/a:1005092601078 · Cited by 100 · see citing works
Non-thermal Biological Effects of Microwaves
Belyaev, I. Y. (2005) · Cited by 99 · see citing works
Apollonio, F., Liberti, M., Paffi, A., Merla, C., Marracino, P., Denzi, A., Marino, C., & d'Inzeo, G. (2013) · IEEE Transactions on Microwave Theory and Techniques · doi:10.1109/tmtt.2013.2250298 · Cited by 96 · see citing works
How quantum brain biology can rescue conscious free will
Hameroff, S. (2012) · Frontiers in Integrative Neuroscience · doi:10.3389/fnint.2012.00093 · Cited by 95 · see citing works
Theoretical Physics and Biology
Fröhlich, H. (1988) · Springer eBooks · doi:10.1007/978-3-642-73309-3_1 · Cited by 93 · see citing works
Self-citationHigh-frequency electric field and radiation characteristics of cellular microtubule network
Havelka, D., Cifra, M., Kučera, O., Pokorný, J., & Vrba, J. (2011) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2011.07.007 · Cited by 92 · see citing works
Lundholm, I. V., Rodilla, H., Wahlgren, W. Y., Duelli, A. S., Bourenkov, G. P., Vukušić, J., Friedman, R., Stake, J., Schneider, T., & Katona, G. (2015) · Structural Dynamics · doi:10.1063/1.4931825 · Cited by 89 · see citing works
McKemmish, L. K., Reimers, J. R., McKenzie, R. H., Mark, A. E., & Hush, N. S. (2009) · Physical Review E · doi:10.1103/physreve.80.021912 · Cited by 87 · see citing works
Nonlinear dynamics and strange attractors in the biological system
Kadji, H. G. E., Orou, J. B. C., Yamapi, R., & Woafo, P. (2006) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2005.11.063 · Cited by 87 · see citing works
The dynamic basis of energy transduction in enzymes
Somogyi, B., Welch, G. R., & Damjanovich, S. (1984) · Biochimica et Biophysica Acta (BBA) - Reviews on Bioenergetics · doi:10.1016/0304-4173(84)90001-6 · Cited by 87 · see citing works
Communication and the emergence of collective behavior in living organisms: a quantum approach
Bischof, M., & Del Giudice, E. (2013) · Molecular Biology International · doi:10.1155/2013/987549 · Cited by 86 · see citing works
203 - Possible Mechanisms of Weak Electromagnetic Field Coupling in Brain Tissue
Bawin, S. M., Sheppard, A. R., & ADEY, W. R. (1978) · Bioelectrochemistry and Bioenergetics · doi:10.1016/0302-4598(87)87008-3 · Cited by 86 · see citing works
Effects of microwave at 2.45 GHz radiations on reproductive system of male rats
Kesari, K., & Behari, J. (2010) · Toxicological & Environmental Chemistry Reviews · doi:10.1080/02772240903233637 · Cited by 68 · see citing works
Where optics meets electronics: recent progress in decreasing the terahertz gap
Chamberlain, J. M. (2003) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2003.1312 · Cited by 85 · see citing works
Magnetobiology: The kT Paradox and Possible Solutions
Binhi, V. N., & Rubin, A. B. (2007) · Electromagnetic Biology and Medicine · doi:10.1080/15368370701205677 · Cited by 82 · see citing works
Cell membrane biochemistry and neurobiological approach to biomagnetism
Azanza, M. J., & del Moral, A. (1994) · Progress in Neurobiology · doi:10.1016/0301-0082(94)90004-3 · Cited by 82 · see citing works
Bhandari, S., & Dunietz, B. D. (2019) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.9b00480 · Cited by 81 · see citing works
Analytic theories of allometric scaling
Agutter, P. S., & Tuszyński, J. A. (2011) · Journal of Experimental Biology · doi:10.1242/jeb.054502 · Cited by 80 · see citing works
Coherent Quantum Electrodynamics in Living Matter
Del Giudice, E., De Ninno, A., Fleischmann, M., Mengoli, G., Milani, M., Talpo, G., & Vitiello, G. (2005) · Electromagnetic Biology and Medicine · doi:10.1080/15368370500379574 · Cited by 79 · see citing works
The origin of allometric scaling laws in biology
Demetrius, L. (2006) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2006.05.031 · Cited by 77 · see citing works
Vaidyanathan, S. V. (2015) · Cited by 78 · see citing works
Electromagnetic activity of yeast cells in the M phase
Pokorný, J., Hašek, J., Jelínek, F., Šaroch, J., & Palán, B. (2001) · Electro- and Magnetobiology · doi:10.1081/jbc-100108577 · Cited by 76 · see citing works
Deng, S.-P., & Huang, D.-S. (2014) · Methods · doi:10.1016/j.ymeth.2014.08.004 · Cited by 76 · see citing works
Bioinformation Within the Biofield: Beyond Bioelectromagnetics
Rein, G. (2004) · The Journal of Alternative and Complementary Medicine · doi:10.1089/107555304322848968 · Cited by 74 · see citing works
Relationship between Fröhlich and Davydov models of biological order
Tuszyński, J. A., Paul, R., Chatterjee, R., & Sreenivasan, S. R. (1984) · Physical Review A · doi:10.1103/physreva.30.2666 · Cited by 71 · see citing works
Cancer physics: diagnostics based on damped cellular elastoelectrical vibrations in microtubules
Pokorný, J., Vedruccio, C., Cifra, M., & Kučera, O. (2011) · European Biophysics Journal · doi:10.1007/s00249-011-0688-1 · Cited by 68 · see citing works
Synchronization dynamics in a ring of four mutually coupled biological systems
Kadji, H. G. E., Orou, J. B. C., & Woafo, P. (2007) · Communications in Nonlinear Science and Numerical Simulation · doi:10.1016/j.cnsns.2006.11.004 · Cited by 68 · see citing works
Quantum effects in the understanding of consciousness
Hameroff, S. R., Craddock, T. J. A., & Tuszyński, J. A. (2014) · Journal of Integrative Neuroscience · doi:10.1142/s0219635214400093 · Cited by 68 · see citing works
Prospects for the study of biological systems with high power sources of terahertz radiation
Weightman, P. (2012) · Physical Biology · doi:10.1088/1478-3975/9/5/053001 · Cited by 69 · see citing works
Consciousness, Neurobiology and Quantum Mechanics: The Case for a Connection
Hameroff, S. R. (2006) · Springer eBooks · doi:10.1007/3-540-36723-3_6 · Cited by 65 · see citing works
Coherent Excitation in Active Biological Systems
Fröhlich, H. (1986) · Springer eBooks · doi:10.1007/978-1-4613-2105-7_8 · Cited by 68 · see citing works
Self-citationStöhr, M., & Tkatchenko, A. (2019) · Science Advances · doi:10.1126/sciadv.aax0024 · Cited by 65 · see citing works
Effect of low-dose ionizing radiation on luminous marine bacteria: radiation hormesis and toxicity
Kudryasheva, N. S., & Rozhko, T. V. (2015) · Journal of Environmental Radioactivity · doi:10.1016/j.jenvrad.2015.01.012 · Cited by 64 · see citing works
Evidence for non-thermal excitation of energy levels in active biological systems
Webb, S. J., Stoneham, M. E., & Fröhlich, H. (1977) · Physics Letters A · doi:10.1016/0375-9601(77)90948-3 · Cited by 64 · see citing works
Self-citationPopp, F. A. (1988) · Cellular and Molecular Life Sciences · doi:10.1007/bf01953300 · Cited by 64 · see citing works
Anesthesia, consciousness and hydrophobic pockets–a unitary quantum hypothesis of anesthetic action
Hameroff, S. (1998) · Toxicology Letters · doi:10.1016/s0378-4274(98)00162-3 · Cited by 62 · see citing works
Bose condensation in biosystems
Wu, T. M., & Austin, S. J. (1977) · Physics Letters A · doi:10.1016/0375-9601(77)90560-6 · Cited by 63 · see citing works
Resonance between 1011 and 1012 Hz in active bacterial cells as seen by laser Raman spectroscopy
Webb, S. J., & Stoneham, M. E. (1977) · Physics Letters A · doi:10.1016/0375-9601(77)90841-6 · Cited by 63 · see citing works
Bundles of Brain Microtubules Generate Electrical Oscillations
Cantero, M. D. R., Etchegoyen, C. V., Perez, P. L., Scarinci, N., & Cantiello, H. F. (2018) · Scientific Reports · doi:10.1038/s41598-018-30453-2 · Cited by 62 · see citing works
Possible role of electrodynamic interactions in long-distance biomolecular recognition
Preto, J., Pettini, M., & Tuszyński, J. A. (2015) · Physical Review E · doi:10.1103/physreve.91.052710 · Cited by 62 · see citing works
Consciousness, the Brain, and Spacetime Geometry
Hameroff, S. R. (2001) · Annals of the New York Academy of Sciences · doi:10.1111/j.1749-6632.2001.tb05709.x · Cited by 61 · see citing works
Adey, W. (1977) · Annals of the New York Academy of Sciences · doi:10.1111/j.1749-6632.1977.tb39740.x · Cited by 60 · see citing works
Introduction to Molecular Biophysics
Tuszyński, J. A., & Kurzyński, M. (2003) · CRC Press eBooks · doi:10.1201/9780203009963 · Cited by 62 · see citing works
Microwave resonant absorption of viruses through dipolar coupling with confined acoustic vibrations
Liu, T., Chen, H.-P., Wang, L., Wang, J., Luo, T.-N., Chen, Y. E., Liu, S.-I., & Sun, C. (2009) · Applied Physics Letters · doi:10.1063/1.3074371 · Cited by 61 · see citing works
Belyaev, I. Y. (2005) · Electromagnetic Biology and Medicine · doi:10.1080/15368370500381844 · Cited by 61 · see citing works
The principle of coherence in multi-level brain information processing
Plankar, M., Brežan, S., & Jerman, I. (2012) · Progress in Biophysics and Molecular Biology · doi:10.1016/j.pbiomolbio.2012.08.006 · Cited by 61 · see citing works
Hameroff, S. R. (2004) · Biosystems · doi:10.1016/j.biosystems.2004.04.006 · Cited by 60 · see citing works
- Authors
- Fröhlich, H.
- Affiliations
- University of Liverpool (GB)
- Corresponding author
- Fröhlich, H.
- Venue
- International Journal of Quantum Chemistry
- Publisher
- Wiley
- Published
- 1968-09
- Volume
- 2
- Issue
- 5
- Pages
- 641-649
- ISSN
- 0020-7608 (ISSN-L)
- 1097-461X
- OpenAlex
- W1566370426
- Cited by
- 1,069
- References
- 2
- Citations by year
- 2026: 42 · 2025: 35 · 2024: 26 · 2023: 25 · 2022: 43 · 2021: 30 · 2020: 32 · 2019: 38 · 2018: 25 · 2017: 28 · 2016: 29 · 2015: 28 · 2014: 33 · 2013: 32 · 2012: 34
- FWCI
- 2.20
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- International Journal of Quantum Chemistry (publishedVersion)
- Topics
- Health Sciences › Medicine › Physiology › Biofield Effects and Biophysics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Biophysics › Chemical and Physical Studies
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Spectroscopy and Quantum Chemical Studies
- Keywords
- long-range coherence, energy storage, biological systems, hydrogen bonding, phase correlation, steady-state excitation
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