Three problems in the statistical mechanics of models for an assembly of molecular motors interacting with cytoskeletal filaments are reviewed. First, a description of the hydrodynamical behaviour of density–density correlations in fluctuating ratchet models for interacting molecular motors is...

This paper explores the rather controversial proposal by Howard Brenner that the velocities that follow from the mass flux and from the translational momentum in a fluid, are not equal. We show that standard non-equilibrium thermodynamics can be formulated such that it is in full agreement with...

It was proved that balance equations for systems with corpuscular structure can be derived if a kinematic description by piece-wise analytic functions is available (Vamoş et al., Physica A 227 (1996) 81). This article presents a rigorous derivation of an one-dimensional hydrodynamic model for...

The high cost of microalgae cultivation is one of the major hurdles in large scale production of microalgal biofuels. Cultivation in closed photobioreactors (PBR) to achieve high culture concentrations is a potential solution. However, existing PBR designs do not have the desired efficiencies,...

We review equilibrium properties for the dynamics of a single particle evolving in a visco-elastic medium under the effect of hydrodynamic backflow which includes added mass and Basset force. Arbitrary equilibrium forces acting upon the particle are also included. We discuss the derivation of...