DNA, RNA and proteins are among the most important macromolecules in a living
cell. These molecules are polymerized by molecular machines. These natural
nano-machines polymerize such macromolecules, adding one monomer at a time,
using another linear polymer as the corresponding template. The machine
utilizes input chemical energy to move along the template which also serves as
a track for the movements of the machine. In the Alan Turing year 2012, it is
worth pointing out that these machines are "tape-copying Turing machines". We
review the operational mechanisms of the polymerizer machines and their
collective behavior from the perspective of statistical physics, emphasizing
their common features in spite of the crucial differences in their biological
functions. We also draw attention of the physics community to another class of
modular machines that carry out a different type of template-directed
polymerization. We hope this review will inspire new kinetic models for these
modular machines.Comment: Author-edited final version of a review article published in
Biophysical Reviews and Letters [copyright World Scientific Publishing
Company]; publisher-edited electronic version available at
http://www.worldscientific.com/doi/abs/10.1142/S179304801230008