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Outline of a unified Darwinian evolutionary theory for physical and biological systems.
Baladrón C, Khrennikov A. Baladrón C, et al. Prog Biophys Mol Biol. 2017 Nov;130(Pt A):80-87. doi: 10.1016/j.pbiomolbio.2017.05.006. Epub 2017 May 17. Prog Biophys Mol Biol. 2017. PMID: 28526354 Review.
The scheme of a unified Darwinian evolutionary theory for physical and biological systems is described. Every physical system is methodologically endowed with a classical information processor, which turns every system into an agent being also susceptible to evoluti …
The scheme of a unified Darwinian evolutionary theory for physical and biological systems is described. Every physical system is meth …
Toward an adequate mathematical model of mental space: conscious/unconscious dynamics on m-adic trees.
Khrennikov AY. Khrennikov AY. Biosystems. 2007 Nov-Dec;90(3):656-75. doi: 10.1016/j.biosystems.2007.02.004. Epub 2007 Feb 17. Biosystems. 2007. PMID: 17400367
We try to perform geometrization of cognitive science and psychology by representing information states of cognitive systems by points of mental space given by a hierarchic m-adic tree. ...In a series of models, Models 1-3, we consider cognitive systems with increas …
We try to perform geometrization of cognitive science and psychology by representing information states of cognitive systems by points of me …
Quantum-like model of cognitive decision making and information processing.
Khrennikov A. Khrennikov A. Biosystems. 2009 Mar;95(3):179-87. doi: 10.1016/j.biosystems.2008.10.004. Epub 2008 Nov 1. Biosystems. 2009. PMID: 19010383
As a consequence, the law of total probability is violated for the experimental data obtained in experiments on cognitive psychology by Shafir and Tversky [Shafir, E., Tversky, A., 1992. ...Psychol. 24, 449-474] and Tversky and Shafir [Tversky, A., Shafir, E. …
As a consequence, the law of total probability is violated for the experimental data obtained in experiments on cognitive psychology …
2-Adic clustering of the PAM matrix.
Khrennikov AY, Kozyrev SV. Khrennikov AY, et al. J Theor Biol. 2009 Dec 7;261(3):396-406. doi: 10.1016/j.jtbi.2009.08.014. Epub 2009 Aug 20. J Theor Biol. 2009. PMID: 19699213
We show that the PAM matrix A allows the expansion into the sum of the two matrices A=A((2))+A((infinity)), where the matrix A((2)) is 2-adically regular (i.e. matrix elements of this matrix are close to locally constant with respect to the disc …
We show that the PAM matrix A allows the expansion into the sum of the two matrices A=A((2))+A((infinity)), wher …
Quantum-like model of processing of information in the brain based on classical electromagnetic field.
Khrennikov A. Khrennikov A. Biosystems. 2011 Sep;105(3):250-62. doi: 10.1016/j.biosystems.2011.05.014. Epub 2011 Jun 12. Biosystems. 2011. PMID: 21683119
We propose a model of quantum-like (QL) processing of mental information. This model is based on quantum information theory. ...A QL concept given in our model by a density operator can generate a variety of concrete images given by temporal realizatio …
We propose a model of quantum-like (QL) processing of mental information. This model is based on quantum information theory. ...A
A model of epigenetic evolution based on theory of open quantum systems.
Asano M, Basieva I, Khrennikov A, Ohya M, Tanaka Y, Yamato I. Asano M, et al. Syst Synth Biol. 2013 Dec;7(4):161-73. doi: 10.1007/s11693-013-9109-3. Epub 2013 Jun 18. Syst Synth Biol. 2013. PMID: 24432153 Free PMC article.
(Hence, our model has no direct relation to quantum physical processes inside a cell.) Thus our model is about probabilities for observations which can be done on epigenomes and it does not provide a detailed description of cellular processes. Usage of the operation …
(Hence, our model has no direct relation to quantum physical processes inside a cell.) Thus our model is about probabilities for obse …
Nontrivial quantum and quantum-like effects in biosystems: Unsolved questions and paradoxes.
Melkikh AV, Khrennikov A. Melkikh AV, et al. Prog Biophys Mol Biol. 2015 Nov;119(2):137-61. doi: 10.1016/j.pbiomolbio.2015.07.001. Epub 2015 Jul 6. Prog Biophys Mol Biol. 2015. PMID: 26160644 Review.
Their solution requires a priori information about the states of the evolving system, but within the framework of the classical theory it is not possible to explain mechanisms of its storage consistently. ...This requires a detailed study of living systems on the le …
Their solution requires a priori information about the states of the evolving system, but within the framework of the classical theor …
Quantum-like model of unconscious-conscious dynamics.
Khrennikov A. Khrennikov A. Front Psychol. 2015 Aug 3;6:997. doi: 10.3389/fpsyg.2015.00997. eCollection 2015. Front Psychol. 2015. PMID: 26283979 Free PMC article.
We illustrate our approach with the model of bistable perception of a particular ambiguous figure, the Schröder stair. This is a concrete model for unconscious and conscious processing of information and their interaction. ...And the quantum formalism provides a
We illustrate our approach with the model of bistable perception of a particular ambiguous figure, the Schröder stair. This is a
Quantum Bayesianism as the basis of general theory of decision-making.
Khrennikov A. Khrennikov A. Philos Trans A Math Phys Eng Sci. 2016 May 28;374(2068):20150245. doi: 10.1098/rsta.2015.0245. Philos Trans A Math Phys Eng Sci. 2016. PMID: 27091160 Free PMC article.
Preface of the special issue quantum foundations: information approach.
D'Ariano GM, Khrennikov A. D'Ariano GM, et al. Philos Trans A Math Phys Eng Sci. 2016 May 28;374(2068):20150244. doi: 10.1098/rsta.2015.0244. Philos Trans A Math Phys Eng Sci. 2016. PMID: 27091161 Free PMC article.
This special issue is based on the contributions of a group of top experts in quantum foundations and quantum information and probability. It enlightens a number of interpretational, mathematical and experimental problems of quantum theory....
This special issue is based on the contributions of a group of top experts in quantum foundations and quantum information and probabi …
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