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A molecular machine is
a single macromolecule or
macromolecular complex that performs a specific function
for a living system [Schneider, 1991].
For example, single stranded DNA can hybridize
to form duplex DNA [Britten & Kohne, 1968].
This operation is defined by two limiting states,
before the operation when the strands are separated,
and after the operation when complementary strands are paired.
Consider the First Law of Thermodynamics for this operation:
|
(1) |
where
is the change in internal energy,
q is the heat flowing into
the machine and w is the work done by the machine on the
surroundings.
(The defined directions of q and w reflect
their original use to describe the input of heat and extraction of
work from steam engines.)
Since the DNA molecule does not do work on an external object
when it hybridizes, w= 0. The internal energy of the machine
decreases,
,
so heat is dissipated into the surroundings,
q< 0.
How can we characterize the action that the machine has taken if it
does not do external work?
Although the operation can be characterized by
the energy dissipated, the important biological aspect of the operation is
the number of choices that the machine makes.
Thus, to form each base pair of DNA,
only 4 out of 16 possibilities are acceptable.
This 1 in 4 choice represents
bits of information ``gained'' by the machine.
Other examples and a detailed definition of molecular machines
and their operations are given in [Schneider, 1991].
Next: Overview of the Derivations
Up: Theory of Molecular Machines.
Previous: Introduction
Tom Schneider
1999-12-24