Biosupersymmetry

BioSystems

Volumn 100, Issue 1, 2010, Pages 47-54

  Molski, Marcin ^a  

^a A Mickiewicz University in Poznan   (Poland)

Author keywords

Anharmonic oscillators; Biological growth and regression; Complex systems; Feinberg Horodecki equation; Quantum supersymmetry

Indexed keywords

BIOLOGY; QUANTUM MECHANICS;

ANALYTIC METHOD; ARTICLE; BIOLOGY; BOSON; ELEMENTARY PARTICLE; FERMION; GOMPERTZ MODEL; GROWTH; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; MOLECULAR PHYSICS; QUANTUM MECHANICS; SUPERSYMMETRY;

EID: 77249179652     PISSN: 03032647     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.biosystems.2010.01.001     Document Type: Article

References (33)

1. Aragone C., Guerri G., Salamo S., and Tani J.L. Intelligent spin states. J. Phys. A: Math. Nucl. Gen. 7 (1974) L149-L151
2. Bashford J.D., Tsohantjis I., and Jarvis P.D. A supersymmetric model for the evolution of the genetic code. Proc. Natl. Acad. Sci. U.S.A. 95 (1998) 987-992
3. Bashford J.D., Tsohantjis I., and Jarvis P.D. Codon and nucleotide assignments in a supersymmetric model. Phys. Lett. A 233 (1997) 481-488
4. Benedict M.G., and Molnar B. Algebraic construction of the coherent states of the Morse potential based on supersymmetric quantum mechanics. Phys. Rev. A 60 (1999) R1737-R1740
5. Cooper F., Khare A., and Sukhatme U. Supersymmetry in Quantum Mechanics. Phys. Rep. 251 (1955) 267-285
6. Cooper I.L. A simple algebraic approach to the coherent states of the Morse oscillator. J. Phys. A: Math. Gen. 25 (1992) 1671-1683
7. Dimopoulos S., Raby S., and Wilczek F. Supersymmetry and the scale of unification. Phys. Rev. D 24 (1981) 1681-1683
8. Feinberg G. Possibility of faster-than-light particles. Phys. Rev. 159 (1967) 1089-1105
9. Feinberg G. Particles that go faster than light. Sci. Am. 222 (1970) 68-77
10. Flügge S. Practical Quantum Mechanics (1999), Springer, Berlin
11. Gol'fand Yu.A., and Likhtman E.P. Extension of The Algebra of Poincar'e Group Generators and Violation of P Invariance. JETP Lett. 13 (1971) 323-326
12. Gendenshtein L.E. Derivation of exact spectra of the Schrödinger equation by means of supersymmetry. JETP Lett. 38 (1983) 356-359
13. Gompertz B. On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies. Philos. Trans. Roy. Soc. Lond. 115 (2000) 513-585
14. Ho M.-W. The Rainbow and The Worm. The Physics of Organisms (1993), World Scientific, Singapore
15. Horodecki R. Extended wave description of a massive spin-0 particles. Il Nuovo Cimento B 102 (1988) 27-32
16. Hulthén L. Uber die Eigenlosüngen der Schrödingergleichung des Deuterons Ark. Mat. Astron. Fys. A. 28 (1942) 1-12
17. Infeld L., and Hull T.E. The factorization method. Rev. Mod. Phys. 23 (1951) 21-68
18. Leggett A.J. The Problems of Physics (1987), University Press, Oxford
19. Michelson S., Glicksman A.S., and Leith J.T. Growth in solid heterogeneous human colon adenocarcinomas: comparison of simple logistical models. Cell Tissue Kinet. 20 (1987) 343-355
20. Miao C.H., and Qian S.W. Variational supersymmetric WKB approximation. Phys. Rev. A 56 (1997) 2412-2414
21. Molski M., and Konarski J. Coherent states of Gompertzian growth. Phys. Rev. E 68 021916 (2003) (1-7)
22. Molski M. Space-like coherent states of time-dependent Morse oscillator. Eur. Phys. J. D 40 (2006) 411-418
23. Molski M. Two-wave model of muscle contraction. Biosystem 96 (2009) 136-140
24. Morse P.M. Diatomic molecules according to the wave mechanics. II. Vibrational levels. Phys. Rev. 34 (1929) 57-64
25. Novaes S.F. Standard Model: An Introduction. In: Swieca X.J.A. (Ed). Summer School (2000), World Scientific, Singapore
26. Schwabl F. Quantum Mechanics (1992), Springer, Berlin
27. Setare M.R., and Karimi E. Algebraic approach to the Hulthen potential. Int. J. Theor. Phys. 46 (2007) 1381-1388
28. Spratt J.A., von Fournier D., and Spratt. Decelerating growth and human breast cancer. Cancer 71 (1993) 2013-2019
29. Varshni Y.P. Eigenenergies and oscillator strengths for the Hulthen potential. Phys. Rev. A 41 (1990) 4682-4689
30. West G.B., Brown J.H., and Enquist B.J. A general model for ontogenic growth. Nature 413 (2001) 628-632
31. Wei H. Four-parameter exactly solvable potential for diatomic molecules. Phys. Rev. A 42 (1990) 2524-2529
32. Wheldon T.E. Mathematical Models in Cancer Research (1988), Adam Hilger, Bristol pp. 161-167
33. Zhang W.-M., Feng D.H., and Gilmore R. Coherent states: theory and some applications. Rev. Mod. Phys. 62 (1990) 867-927