CENTER FOR APPLIED MATHEMATICS AND THEORETICAL PHYSICS

UNIVERZA V MARIBORU UNIVERSITY OF MARIBOR

KREKOVA 2 SI-2000 MARIBOR SLOVENIA

Phone +(386) (2) 2355 350 and 2355 351 Fax +(386) (2) 2355 360

Robnik@uni-mb.si www.camtp.uni-mb.si

PROF.DR. MARKO ROBNIK, DIRECTOR

**Abstract**:
Recently [Y.Aizawa et al. NPCS, 2006 in press],
the refractory-activation oscillator system (RAO system) was proposed to
explain the crossbridge formation process in the actomyosin system.
The RAO system shows how the geometrical
structure of the actomyosin system affects its sliding dynamics and its
cooperative phenomena in the muscle contraction process.
The geometrical structure is characterized by the spatial period ratio between
myosin and actin filaments.
It is shown that the sliding velocity of the RAO model very sensitively
depends on the period ratio, which we call velocity resonance. Next the origin
and detailed aspects of the resonance are discussed.
An important result is that the condition for the resonance depends not only
on the period ratio but also on the number of myosin molecules (the system
size N), because the width of each resonance zone changes by a law of O(1/N).
This means that an appropriate value of the period ratio must be realized in
order to accomplish the coherent sliding motion in the actomyosin system
under the condition of a finite N.

**Seminarsko predavanje (v angleškem jeziku)
bo v petek 6. oktobra 2006 ob 15:15 uri
v seminarski sobi CAMTP na Krekovi 2, pritlicje desno.
Vljudno vabljeni vsi zainteresirani, tudi študentje.**

Prof.Dr. Marko Robnik

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