Vilfan, Andrej; Frey, Erwin
Oscillations in molecular motor assemblies.
In: Journal of physics: Condensed matter, Vol. 17, No. 47: pp. 3901-3911
Autonomous oscillations in biological systems may have a biochemical
origin or result from an interplay between force-generating and visco-elastic
elements. In molecular motor assemblies the force-generating elements are
molecular engines and the visco-elastic elements are stiff cytoskeletal polymers.
The physical mechanism leading to oscillations depends on the particular
architecture of the assembly. Existing models can be grouped into two distinct
categories: systems with a delayed force activation and anomalous force–
velocity relations. We discuss these systems within phase plane analysis known
from the theory of dynamic systems and by adopting methods from control
theory, the Nyquist stability criterion.