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|Title:||Why are Biological Systems Nonlinear?|
Bugay, Aleksandr N.
|Keywords:||ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Биология|
ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Физика
|Publisher:||Minsk : Education and Upbringing|
|Citation:||Nonlinear Phenomena in Complex Systems. - 2016. - Vol. 19, N 1. - P. 71-79|
|Abstract:||Biological systems are nonlinear due to existence of weak interactions between its constituent parts. In this short review we deal with two very important biological systems, DNA molecule and microtubule. We show how diﬀerent nonlinear terms in their Hamiltonians, together with diﬀerent mathematical procedures, yield to diﬀerent ﬁnal results. In case of DNA, nonlinearity is modeled by Morse potential and the ﬁnal result is nonlinear wave called breather moving along its chain. On the other hand, nonlinearity existing in microtubule is modeled by W-potential, which brings about kink soliton as the ﬁnal result.|
|ISSN:||1561 - 4085|
|Appears in Collections:||2016. Volume 19. Number 1|
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