We summarize some aspects of electrostatic interactions in the context of viruses. A
simplified but, within well defined limitations, reliable approach is used to derive expressions …

In this chapter we give main definitions and useful facts of the theory of Gibbs measures of
lattice spin systems. In the first section we give general definitions. This chapter also …

Abstract Deckelnick and Dziuk (Math. Comput. 78 (266): 645–671, 2009) proved a stability
bound for a continuous-in-time semidiscrete parametric finite element approximation of the …

We regard a DNA molecule as a configuration of the Blume–Capel model on paths in a
Cayley tree. We study translation-invariant Gibbs measures (TIGMs) of the model on the …

We consider the problem of an impenetrable Kirchhoff rod in self-contact. The contact is
assumed to be frictionless and of point-contact type. The self-contacted rod is modeled as a …

We define a DNA as a sequence of ± 1±1's and embed it on a path of Cayley tree. Using
group representation of the Cayley tree, we give a hierarchy of a countable set of DNAs …

In this first part of a series of articles we discuss the torsion geometry of biology, physics,
cognition and perception. We discuss the relations with the non-linear morphomechanics of …

We discuss how the shape of a special Cosserat rod can be represented as a path in the
special Euclidean algebra. By shape we mean all those geometric features that are invariant …

We consider a DNA molecule as a configuration of the Potts model on paths of the Cayley
tree. For this model, we study new translation-invariant Gibbs measures. We find exact …

Abstract The Kirchhoff–Plateau problem concerns the equilibrium shapes of a system in
which a flexible filament in the form of a closed loop is spanned by a soap film, with the …