Vol.4, No 16, 2004 pp. 157-166
UDC 531.35:573.16:534.13(045)
APPLICATION OF THE LAGRANGE EQUATION
TO THE OSCILLATION OF THE PEPTIDE PLANE
IN AMINO-ACIDS CHAIN
Aleksandar Tomić1, Željko Ratkaj2,
Djuro Koruga2
1People's Observatory, Kalemegdan,
Belgrade, Serbia and Montenegro
2Molecular Machines Research Center,
Faculty of Mechanical Engineering, Belgrade, Serbia and Montenegro
Abstract. We have made an attempt to simulate the oscillation of
peptide planes - a planar formation in amino-acid chains in tubulin subunits.
Because of Curie simmetries in living organisms we can use capability of
classic Lagrange equations application. The newly developed method gives
possibility for calculation tree perpendicular proper frequencies for each
atom in peptide plane. The influences of four contacting and six neibouring
atoms can be settle up accounts. The effect of whole in chain oscillations
appears explicitly, with the consequence that there does not exists two
identical oscillating pictures in chain of 450 amino-acids in tubulin subunits.
Key words: Lagrange equation, oscillation, biophysics,
amino-acids chain, peptide plane.
PRIMENA LAGRANGE-OVIH JEDNAČINA
NA OSCILOVANJE PEPTIDNIH RAVNI U AMINO-KISELINSKOM LANCU
Učinjen je pokušaj simuliranja oscilovanja peptidnih ravni - ravanskih
formacija u aminokiselinskom lancu u subjedinicama tubulina. Zbog važenja
Curie-simetrija u živim organizmima bilo je moguće iskoristiti pogodnost
primene klasičnih Lagrange-ovih jednačina. Novi uvedeni metod daje mogućnost
za izračunavanje tri medjusobno normalne sopstvene frekvencije za svaki
atom u peptidnoj ravni. Uticaji četiri kontaktna i šest susednih atoma
mogu se obračunati. U oscilovanju lanca pojavljuje se eksplicitno "efekat
celine", sa posledicom da ne postoje dve identične slike oscilovanja u
lancu od 450 aminokiselina u subjedinicama tubulina.
