Models of active Brownian motors based on internal oscillations

We analyze the dynamics of driven translations or rotations based on models with internal oscillations. In particular we discuss several new mechanisms of motors driven by chemical energy. First we study the simple depot model and give analytical solutions including efficiency and stochastic effects. Then we introduce internal oscillations based on inertia including variable friction functions. Further we replace inertia by delay effects and study motors in trigger regime. As possible applications we consider a model of ATP-driven motors operating on angle and elasticity variables. We develop a model of F1-ATPase motors with three β-subunits which drive the rotation of the central γ-shaft

Nonlinear Vibrations in a 2-Dimensional Protein Cluster Model with Linear Bonds

A two-dimensional model for the unchanged part of the substrate inside a pocket of an active site of enzyme as a vibrational system is presented. The parameters of the system are evaluated for ff-chymotrypsin molecule. The case of internal resonant condition is considered. For that resonant case the energy concentrated on a certain degree of freedom is several times larger than in the non-resonant case. Analytical and numerical results are presented also for the case of harmonic excitation. The results can be used for the estimation of probability of the catalytic event for the case of different unchanged parts of substrates bound in a pocket of active sites. I. INTRODUCTION Proteins and, in particular, enzymes and enzyme-substrate complexes are very complicated nonlinear vibrational systems from a physical point of view. In these complex systems we would observe different types of dynamic motion and complicated energy distributions. Usually such macromolecules are investigated using m..

Stochastische Dynamik von Molekuelgruppen

We considered mathematical models of molecular engines with applications to special functions of biological macromolecules (#alpha#-Chymotrypsin, Acetylcholinesterase) special attention was paid to 2D-models of the stochastic activation over energetic barriers. It requires the inclusion of complex shapes of the molecule, of possibly chaotic motion, of complex time-dependent boundary conditions in 2D and of the transfer of energy between several degrees of freedom. (orig.)SIGLEAvailable from TIB Hannover: DtF QN1(67,50) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekBundesministerium fuer Bildung, Wissenschaft, Forschung und Technologie, Bonn (Germany)DEGerman