An overview of the dynamics of one of the fundamental models of low-dimensional nonlinear
physics, the Frenkel–Kontorova (FK) model, is presented. In its simplest form, the FK model …

As a key molecule of life, Deoxyribo-Nucleic Acid (DNA) is the focus of numbers of
investigations with the help of biological, chemical and physical techniques. From a physical …

Theoretical physics deals with physical models. The main requirements for a good physical
model are simplicity and universality. Universal models which can be applied to describe a …

Das dynamische Verhalten von DNA-Molekülen wirklich zu verstehen, gehört heute zu den
großen Herausforderungen der Grundlagenforschung in der Biochemie und …

The melting curves of short heterogeneous DNA chains in solution are calculated on the
basis of statistical thermodynamics, and compared to experiments. The computation of the …

Dynamics of topological solitons describing open states in the DNA double helix are studied
in the framework of a model that takes into account asymmetry of the helix. It is shown that …

RNA binding to high-density oligonucleotide arrays has shown tantalizing differences with
solution experiments. We analyze here its sequence specificity, fitting binding affinities to …

DNA is central to all living beings, as it carries, for any species, all the information needed for
birth, development, living and probably sets the average life-time of each species …

The higher order Haar wavelet method (HOHWM) is used with a nonuniform grid to solve
nonlinear partial differential equations numerically. The Burgers' equation, the Korteweg–de …

Nonlinear space-time dynamics, defined in terms of celebratedsolitonicequations, brings
indispensable tools for understanding, prediction and control of complex behaviors in both …