Mathematical Physics and Mathematical Biology

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mathematical biology



Tidjani Négadi 
(Born January 26 1950, Tlemcen, Algeria)

Maître de Conférence, Physics Department, Faculty of

Science, University of Oran, Es-Sénia, 31100, Oran,



Titles: Doctorat de 3ème Cycle (Nuclear Physics);

Doctorat d' Etat Es-Science Physiques (Theoretical Physics)

Member of the Executive Board of the International Symmetry Association (ISA) 

and Symmetry: Culture and Science (2009-2013)

Member of the Advisory Board of the International Symmetry Association (ISA) 

and Symmetry: Culture and Science (Since Aug. 2013) 

Guest Editor, NeuroQuantology Journal, December 2011:

"Classical and "Quantum-Like" Views of the Genetic Code".

Guest Editor, Symmetry: Culture and Science, Volume 27, N°2, July 2016

"Symmetry and Information in Biological Systems, including Studies on the Genetic Code" 

Electronic addresses and phone:

[email protected]

[email protected]

[email protected]

Phone: 213 (0) 41 83 53 05

mobile: +213 07 95 85 94 81




1976-1989: Quantum Mechanics and applications (graduation)

1989-2002: Atomic and Molecular physics (graduation); group theory (post-graduation)

2002- research only (mainly Mathematical Biology)


2015-2016: Special Relativity; astronomy and astrophysics



1. T. Négadi, Properties of excited states in 111In , ? Symposium on nuclear structure?. Balatonfured (Hungary), 1-6 septembre 1975; in collaboration with R. Duffait, A. Charvet et R. Chery.


2. T. Négadi, Lifetimes of levels in 64Zn from Doppler shift measurments via 61Ni(a,n) 64Zn reaction, Phys.Rev.C13, 2237 (1976); in collaboration with A. Charvet, R. Duffait, A. Emsallem, G. Marguier and R. Chery.


3. T. Négadi, Mesure des durées de vie des premiers niveaux excités du Molybdène 93.Journal de Physique, Lettres (section physique nucl´eaire) T37, 103 (1976); in collaboration with R. Duffait, A. Charvet, M.Morgue, J. Caro et R. Chery.


4. M. Kibler et T. Négadi, On the connection between the hydrogen atom, and the harmonic oscillator, Lett.Nuovo Cimento, 37, 225 (1983).


5. M. Kibler et T. Négadi, On the connection between the hydrogen atom,and the harmonic oscillator: the continuum case, J. Phys. A16, 4265 (1983).


6. M. Kibler et T. Négadi, Connection between the hydrogen atom,and the harmonic oscillator: the zero-energy case, Phys.Rev. A29, 2891 (1984).


7. M. Kibler et T. Négadi, Hydrogen atom in a uniform electromagnetic field as an anharmonic oscillator, Lett. Nuovo Cimento, 39, 319 (1984).


8. M. Kibler et T. Négadi, Motion of a particle in a ring-shaped potential: an approach via a canonical transformation, Int. J.Quantum Chem., 26, 405 (1984).


9. M. Kibler et T. Négadi, Coulombic and ring-shaped potentials treated in a unified way via a nonbijective canonical transformation, Theoretica Chimica Acta, 66, 31 (1984).


10. M. Kibler et T. Négadi, On the use of nonbijective canonical transformations in chemical physics, Croatica Chemice Acta, 57, 1509 (1984).


11. M. Kibler et T. Négadi, Quantification avec contrainte : exemple de l?atome d?hydrogène, Folia Chimica Theorica Latina, 12, 117 (1984).


12. M. Kibler et T. Négadi, et A.Ronveaux, The Kustaanheimo-Stiefel transformation and certain special functions, dans "Polynômes Orthogonaux et Applications", Eds. Brezinski C., Draux A., Magnus A.P., Maroni P. et Ronveaux A. (Springer : Berlin 1985).


13. T. Négadi, Les potentiels de Kratzer et Hartmann revisités, Iième Séminaire National sur la Chimie, Université d?Oran, 18-20 Novembre 1985.


14. M. Kibler, A. Ronveaux et T. Négadi, On the hydrogen-oscillator connection: passage formulæ between wave functions, J.Mth.Phys., 27, 1541 (1986).


15. M. Kibler and T. Négadi, Motion of a particle in a Coulomb plus Aharonov-Bohm potential, Phys.lett. A124, 42 (1987).


16. M. Kibler and T. Négadi, Particle in a Coulomb or Oscillator plus Aharonov-Bohm potential, in Group Theoretical Methods in Physics, Eds. Saint-Aubin Y. and Vinet L. (World Scientific, Singapor, 1989).


17. T. Négadi, Le q-analogue de l?atome d?hydrogène, 1er Congrès de la Société Algériènne de Chimie, Oran (USTO), 13-16 Mai 1991.


18. M. Kibler et T. Négadi, On the q-analogue of the hydrogen atom, J.Phys. A Math.Gen., 24, 5283 (1991).


19. M. Kibler et T. Négadi, On quantum groups and their potential use in mathematical chemistry, Journal of Mathematical Chemistry, 11, 13 (1992).


20. T. Négadi et M. Kibler, A q-deformed Aufbaü prinzip, J.Phys. A Math.Gen. L157 (1992).


21. T. Négadi et M. Kibler, The periodic table in Flatland, Int.J.Quantum Chem., 57, 53 (1996).


22. T. Négadi, On the planar periodic table, Int.J.Quantum Chem., 78, 206 (2000).


23. T. Négadi, Cracking the Genetic Code(s) with a modular determinative degree: An Algebraic Approach, Int.J.Quantum Chem., 91(6), 651 (2003).


24. T. Négadi, Rumer's Transformation in Biology, as the Negation, in Classical Logic, Int.J.Quantum Chem., Vol. 94, 65-74 (2003).


25. T. Négadi, On the symmetries of the 16 genetic code-doublets, in the Proceedings of the XXIV International Colloquium on Group Theoretical Methods in Physics (Paris, July 15-20, 2002), IOP Conference Series, ? GROUP 24 Physical and Mathematical Aspects of Symmetries? (2003); Gazeau, J.P.; Antoine, J.P.; Métens, S. J.Y. Eds.


26. T. Négadi, A connection between sCherbak's arithmetical and Yang's 28-gon polyhedral "views" of the genetic code, Internet Electron. Conf. Mol. Des. 3, 23 Nov.-06 Dec. (2003).The Open Physical Chemistry Journal


27. T. Négadi, Symmetry groups for the Rumer-Konopel'chenko-sCherbak "bissections" of the genetic code, and applications, Internet Electron. J. Mol. Des. 3, 247-270 (2004).


28. T. Négadi, Symmetry and proportion in the genetic code, and genetic information from the basic units of life, Symmetry: Culture and Science, 12(3-4): 371-393, (2001); published in 2004.


29. T. Négadi, Symmetry and Information in the genetic code, in Advances in Bioinformatics and its Applications, World Scientific Publishing and Co. (2005).

30. T. Négadi, The genetic code structure, from inside, Symmetry: Culture and Science, 1(3-4): 317-340, (2006).

31. T. Négadi,The genetic code multiplet structure, in one number, Symmetry: Culture and Science, 18(2-3): 149-160 (2007)


32. T. Négadi, The genetic code via Gödel encoding, , 2, 1-5 The Open Physical Chemistry Journal, 2, 1-5 (2008).


33. T. Négadi, The genetic code degeneracy and the amino acids chemical composition are connected, NeuroQuantology, 7, Vol 7, No 1 (2009). 1. 


34. T. Négadi, A taylor-made arithmetic mode of the genetic code and applications, Symmetry: Culture and Science, Vol. 20, 1-4, 51-76, 2009.

35. T. Négadi, The multiplet structure of the genetic code, from one and small number, NeuroQuantology, Vol. 9 No 4 (2011);

36. T. Négadi, On Rakocevic's Amino Acid Biosynthetic Precursors Relations, NeuroQuantology, Vol. 9 No 4 (2011).

 37. T. Négadi, A "Quantum-Like" Approach to the Genetic Code, NeuroQuantology, Vol. 9 No 4 (2011).

 38. T. Négadi, The irregular (integer) tetrahedron as a warhouse of biological information, Symmetry: Culture and Science, Volume 23, Numbers 3-4, pages 403-426 (2012).

39. T. Négadi, The genetic code invariance: when Euler and Fibonacci meet, Symmetry: Culture and Science, Vol. 25, No. 3, Pages 145-288 (2014). (Also found at arXiv:1406.6092v1 [q-bio.OT])

40. T. Négadi, A mathematical model for the genetic code(s) based on Fibonacci numbers and their q-analogue, NeuroQuantology, Volume 13, Issue 3, 259-272, 2015

41. T. Négadi, Semi-phenomenological classification models of the genetic code(s) using q-deformed numbers, Symmetry: Culture and Science, Volume 27, N°2, 81-94, 2016 (available at arXiv:1607.07278 [q-bio.OT]

42. T. Négadi The Genetic Codes: Mathematical Formulae and an Inverse Symmetry-Information Relationship. Information, 2017, 8(1), 6













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