Nelineynaya Dinamika Dnk S Uchetom Dissipatsii I Vneshnikh Vozdeystviy

Problema vzaimodeystviya DNK s okruzheniem yavlyaetsya chrezvychayno aktual'noy i trebuet dlya svoego resheniya privlecheniya kak eksperimental'nykh, tak i teoreticheskikh metodov issledovaniya. V rabote predstavleny rezul'taty teoreticheskogo issledovaniya nekotorykh modifikatsiy Y-modeli molekuly DNK, uchityvayushchikh dissipatsiyu i vneshnie sily. V pervoy glave izlozheny kratkie predstavleniya o strukture i funktsionirovanii DNK, vo vtoroy - kratkiy obzor nekotorykh nelineynykh modeley dinamiki molekuly DNK. V tret'ey glave opisyvaetsya issleduemaya model' DNK. Polucheny uravneniya dvizheniya dlya etoy modeli. Dlya nakhozhdeniya analiticheskikh resheniy byl ispol'zovan obobshchennyy metod Van-der-Polya. Issledovano vliyanie dissipatsii i chetyrekh vidov sil. Naydeny resheniya chastnykh sluchaev uravneniy dvizheniya i issledovana ikh zavisimost' ot parametrov modeli. Polucheny resheniya v vide brizerov i soliton-antisolitonnykh par. Dana interpretatsiya poluchennykh rezul'tatov dlya opisaniya nelineynoy dinamiki molekuly DNK. Kniga prednaznachena dlya studentov vuzov, aspirantov i uchenykh, interesuyushchikhsya prilozheniem teorii nelineynykh voln i modelirovaniem nelineynoy dinamiki DNK.