CENTER FOR APPLIED MATHEMATICS AND THEORETICAL PHYSICS
UNIVERZA V MARIBORU $\bullet$ UNIVERSITY OF MARIBOR
KREKOVA 2 $\bullet$ SI-2000 MARIBOR $\bullet$ SLOVENIA
Phone +(386) (2) 2355 350 and 2355 351 $\bullet$ Fax +(386) (2) 2355 360
Robnik@uni-mb.si $\bullet$ www.camtp.uni-mb.si
PROF.DR. MARKO ROBNIK, DIRECTOR

Seminarsko predavanje
Centra za uporabno matematiko in teoreticno fiziko

Geometrical Resonance in the Refractory-Activation Oscillator Model for the Crossbridge Formation in the Actomyosin System

Professor Dr. Yoji Aizawa
Waseda University, Tokyo, Japan

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
-- Direktor CAMTP --