Abstract

This paper describes how collections of small synthetic chemically-powered motors function in complex filament networks. Like biological molecular machines, these synthetic motors derive their chemical fuel from nonequilibrium reactions in their environment, attach to filaments and move along them but, unlike biological machines, they use self-generated chemical gradients to effect propulsion. The structure of the filament network strongly influences the character of the collective motions of these motors.

Highlights

  • Molecular motors with linear dimensions of tens of nanometers carry out their functions in complicated and crowded environments

  • When there are many motors in the system and the filament network has a complicated structure, we show below how the collective motor dynamics is modified

  • Small oligomeric motors execute directed motion along their long axis and are subject to strong thermal fluctuations that lead to rapid orientational motion

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Summary

INTRODUCTION

Molecular motors with linear dimensions of tens of nanometers carry out their functions in complicated and crowded environments. A colloid in a chemical concentration gradient induces fluid flows in its vicinity that lead to motion in media free from external forces [11,12,13] Extensive research on these objects has resulted in the construction of numerous different motors with sizes ranging from tens of nanometers to several micrometers using various types of chemical fuel and operating by different mechanisms [14,15,16,17,18,19,20,21].

System dynamics
Motor dynamics in the fluid phase
Motor dynamics when attached to filaments
COLLECTIVE MOTOR DYNAMICS IN FILAMENT NETWORKS
Macroscopic filament properties
Collective dynamics in the filament network
Filament network dynamics
CONCLUSION

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