Robust quantization of a molecular motor motion in a stochastic environment

2009/06/30 by V. Y. Chernyak, N. A. Sinitsyn
Biochemistry, Genetics and Molecular Biology · Chemistry · Mathematics · Physics and Astronomy · #Control theory (sociology) #Integer (computer science) #Molecular motor #Motion (physics) #Quantization (signal processing) #Quantum chaos and dynamical systems #Stochastic process #Supramolecular Chemistry and Complexes #cond-mat.mes-hall #cond-mat.stat-mech #math.CO #nlin.CG #q-bio.QM #stochastic dynamics and bifurcation

paper · pdf · doi:10.1063/1.3263821

published as J. Chem. Phys. 131, 181101, 2009 · 7 pages, 4 figures. J. Chem. Phys. Communications (in press)

arxiv created 2009/10/24 · openalex publication_date 2009/11/10 · arxiv updated 2015/05/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We explore quantization of the response of a molecular motor to periodic modulation of control parameters. We formulate the pumping-quantization theorem (PQT) that identifies the conditions for robust integer quantized behavior of a periodically driven molecular machine. Implication of PQT on experiments with catenane molecules are discussed.

Citations

• Pumping Restriction Theorem for Stochastic Networks
• Directed Flow in Nonadiabatic Stochastic Pumps
• The stochastic pump effect and geometric phases in dissipative and stochastic systems