Can Quantum Theory Concepts Shed Light on Biological Evolution Processes?
465
41. E.g. Brändas EJ (2015) A zero-energy universe scenario: from unstable chemical states to
biological evolution and cosmological order. In: Nascimento MAC et al (eds) Prog Theor Chem
Phys B, vol 29, Springer, pp 247–284; The origin and evolution of complex enough systems in
biology. In: Tadjer A et al (eds) ibid B 30, Springer, pp 409–437 (2017); Abiogenesis and the
second law of thermodynamics. In: Mammino L et al (eds) ibid B 32, Springer, pp 393–436,
2020; and references therein
42. E.g. (a) Kovac L (2000) Fundamental principles of cognitive biology. Evol Cogn 6:51–69. (b)
Brändas EJ (2011) Gödelian structures and self-organization in biological systems. Int J Quant
Chem 111:1321–1332
43. Deppert W (1998) Teleology and goal functions—which are the concepts of optimality and
efficiency in evolutionary biology. In: Müller F, Leupelt M (eds) Eco targets, goal functions,
and orientors. Springer, Heidelberg, pp 342–354
44. Sieniutycz S (2004) Extremum properties of entropy to determine dynamics of growth and
evolution in complex systems: Physica A 340:356–363; Entropy-based modeling and simulation of evolution in biological systems. In Moreno-Diaz R, Pichler F, Quesada-Arencibia A
(eds) Lecture Notes in Computer Science 4739. Springer (2007), pp 34–41
45. Edwards AWF (2007) Maximisation principles in evolutionary biology. In: Matthen M,
Stephens C (eds) Philosophy of biology. North-Holland, pp 335–347
46. Sternheimer J (a) C R A S (Paris) 297(1983): 829–834; (b) Rev Biomath (Paris) 94(1986):1–47;
(c) Procédé de régulation épigénétique de la biosynthèse des protéines par résonance d’échelle
(Patent # 9206765, INPI, Paris, 1995), and private communication. A review of the history,
principles and applications of this approach can be found in: (d) Fukagawa Y, Protein Music
(Y F edr., Tokyo, 1999). For the music of nucleic acids, one can see: (e) Hayashi K, Munakata
N (1984) Nature 310:96; (f) Ohno S, Jabara M (1986) Chem Scripta 26 B:43
47. E.g. (a) Tegmark M (2000) The importance of quantum decoherence in brain processes. Phys
Rev E 61:4194–4209. (b) Engel GS, Calhoun TR, Read EL, et al (2007) Evidence for wavelike
energy transfer through quantum coherence in photosynthetic systems. Nature 446:782–786. (c)
Panitchayangkoun G, Hayes D, Fransted KA et al (2010) Long-lived quantum system coherence
in photosynthetic complexes at physiological temperature. Proc Nat Acad Sci 107:12766–
12770
48. Kolmogorov AN (1965) Three approaches to the quantitative theory of information. Problems
Inform Transm 1:1–7; Logical basis for information theory and probability theory. IEEE Trans
Inform Theor 14(1968):662–664. See also: Solomonoff R (1964) A formal theory of inductive
inference. Inform Control 7:1–22 (I) and 224–254 (II)
49. (a) Kossakowski A (1972) On quantum statistical mechanics of non-Hamiltonian systems. Rep
Math Phys 3:247–274. (b) Ingarden RS, Kossakowski A, Ohya M (1997) Information dynamics
and open systems: classical and quantum approach. Springer, Heidelberg
50. Lindblad G (1976) On the generators of quantum dynamical semigroups. Comm Math Phys
48:119–130; Non-equilibrium entropy and irreversibility (Reidel, Dordrecht, 1983)
51. E.g. (a) Stewart HB, Thompson JM (1986) Nonlinear dynamics and chaos. Wiley. (b) Gleick
J (1987) Chaos theory. Viking Press, New York
52. E.g. (a) May RM (1976) Simple mathematical models with very complicated dynamics. Nature
261:459–467; with Oster GF (1976) Bifurcations and dynamic complexity in simple ecological
models. Am Nat 110:573–599. (b) Gold HJ (1977) Mathematical modeling of biological systems, Wiley. See also: Heller EJ (1990) Mode mixing and chaos induced by potential surface
crossings. J Chem Phys 92:1718–1727
465
41. E.g. Brändas EJ (2015) A zero-energy universe scenario: from unstable chemical states to
biological evolution and cosmological order. In: Nascimento MAC et al (eds) Prog Theor Chem
Phys B, vol 29, Springer, pp 247–284; The origin and evolution of complex enough systems in
biology. In: Tadjer A et al (eds) ibid B 30, Springer, pp 409–437 (2017); Abiogenesis and the
second law of thermodynamics. In: Mammino L et al (eds) ibid B 32, Springer, pp 393–436,
2020; and references therein
42. E.g. (a) Kovac L (2000) Fundamental principles of cognitive biology. Evol Cogn 6:51–69. (b)
Brändas EJ (2011) Gödelian structures and self-organization in biological systems. Int J Quant
Chem 111:1321–1332
43. Deppert W (1998) Teleology and goal functions—which are the concepts of optimality and
efficiency in evolutionary biology. In: Müller F, Leupelt M (eds) Eco targets, goal functions,
and orientors. Springer, Heidelberg, pp 342–354
44. Sieniutycz S (2004) Extremum properties of entropy to determine dynamics of growth and
evolution in complex systems: Physica A 340:356–363; Entropy-based modeling and simulation of evolution in biological systems. In Moreno-Diaz R, Pichler F, Quesada-Arencibia A
(eds) Lecture Notes in Computer Science 4739. Springer (2007), pp 34–41
45. Edwards AWF (2007) Maximisation principles in evolutionary biology. In: Matthen M,
Stephens C (eds) Philosophy of biology. North-Holland, pp 335–347
46. Sternheimer J (a) C R A S (Paris) 297(1983): 829–834; (b) Rev Biomath (Paris) 94(1986):1–47;
(c) Procédé de régulation épigénétique de la biosynthèse des protéines par résonance d’échelle
(Patent # 9206765, INPI, Paris, 1995), and private communication. A review of the history,
principles and applications of this approach can be found in: (d) Fukagawa Y, Protein Music
(Y F edr., Tokyo, 1999). For the music of nucleic acids, one can see: (e) Hayashi K, Munakata
N (1984) Nature 310:96; (f) Ohno S, Jabara M (1986) Chem Scripta 26 B:43
47. E.g. (a) Tegmark M (2000) The importance of quantum decoherence in brain processes. Phys
Rev E 61:4194–4209. (b) Engel GS, Calhoun TR, Read EL, et al (2007) Evidence for wavelike
energy transfer through quantum coherence in photosynthetic systems. Nature 446:782–786. (c)
Panitchayangkoun G, Hayes D, Fransted KA et al (2010) Long-lived quantum system coherence
in photosynthetic complexes at physiological temperature. Proc Nat Acad Sci 107:12766–
12770
48. Kolmogorov AN (1965) Three approaches to the quantitative theory of information. Problems
Inform Transm 1:1–7; Logical basis for information theory and probability theory. IEEE Trans
Inform Theor 14(1968):662–664. See also: Solomonoff R (1964) A formal theory of inductive
inference. Inform Control 7:1–22 (I) and 224–254 (II)
49. (a) Kossakowski A (1972) On quantum statistical mechanics of non-Hamiltonian systems. Rep
Math Phys 3:247–274. (b) Ingarden RS, Kossakowski A, Ohya M (1997) Information dynamics
and open systems: classical and quantum approach. Springer, Heidelberg
50. Lindblad G (1976) On the generators of quantum dynamical semigroups. Comm Math Phys
48:119–130; Non-equilibrium entropy and irreversibility (Reidel, Dordrecht, 1983)
51. E.g. (a) Stewart HB, Thompson JM (1986) Nonlinear dynamics and chaos. Wiley. (b) Gleick
J (1987) Chaos theory. Viking Press, New York
52. E.g. (a) May RM (1976) Simple mathematical models with very complicated dynamics. Nature
261:459–467; with Oster GF (1976) Bifurcations and dynamic complexity in simple ecological
models. Am Nat 110:573–599. (b) Gold HJ (1977) Mathematical modeling of biological systems, Wiley. See also: Heller EJ (1990) Mode mixing and chaos induced by potential surface
crossings. J Chem Phys 92:1718–1727