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MATHEMATIAL MODEL OF DNA LESIONS
O.B. Belov 1 , D.L. Boyda 2† and S.Eh. Shirmovsky 2
(1) Joint institite for nuclear research
(2) Far eastern federal university
† E-mail: boyda d@mail.ru
It is well known that ionizing radiation is a mutagen, i.e. ionizing radiation leads to
mutations in the deoxyribonucleic acids molecule. The latter may be the cause of various
genetic diseases. In this paper the process of DNA molecule ionization was modeled. The
ionization radiation was created by pass of alpha particle through matter. Sequence of
DNA bases with ionized sites was chosen and the migration of charge was modeled on
the basis of quasi-classical double stranded model. This migration resulted in mechanical
damage of molecules, in particular the double stranded breaks. These breaks may lead
to mutation. Thus, in the paper following process was modelled: alpha particles passing
trough matter resulted in conditions for possible mutation.
a)
Figure1: Graphsofcalculations: a)-alphaparticlespassaroundthesequence oftheDNA
molecule, the DNA spiral represented by a system of nucleotides, and the dots indicate
locations of ionization,b) - schematic drawing damage of the DNA chain molecule, bases
(gray - in the equilibrium position, black - after the migration of the charge) are shown
by circles, bonds between bases are shown by wavy lines (destroyed bonds - tails) around
the equilibrium position drawn vertical lines.
b)
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