The concurrent state-transition of
a large number of finite automata
can be simply visualized
by representing the automata array
as an one-dimensional lattice.
We let each lattice site represent a finite automaton and
the color of the lattice site represent the
state of the automaton.
For example, we can represent an
inactive actin by a green lattice site,
an active actin by a red lattice site,
a facilitating troponin by a yellow lattice site,
and an inhibiting troponin by a
black lattice site.
Simulation process corresponds to the evolution of the
lattice. Each time step, a new ``generation''
of the lattice that shows a new spatial
distribution of automata over different states
will be produced by the model.
We attach the new generation of lattice below the old
one so that we can also see the state change of each
individual automaton
in the time dimension.
Thus, this type of representation enables us to
view the binding processes of myosin to actin from
both temporal and spatial perspectives at the same time.
As an example,
Fig. 2
shows an one-step evolution of
a portion of the automata array.
The evolutions of the automata array
shown in 
Fig. 3
correspond to a dynamic simulation
of the thin filament in response to a calcium burst.
At time 0, calcium concentration is very low (pCa = 7.5) and
almost all troponin units are in the inhibiting state.
Myosin binding is extremely rare at this time.
The calcium concentration increases slowly at first. It
starts to burst dramatically around step 85 and
reaches the maximum at step 125.
The transient of calcium concentration was calculated
according the observed aequorin light emission from the experiments
of a single frog skeletal muscle fiber.
From Fig. 3,
we can see how calcium concentration regulates
the association and dissociation of myosin
heads to and from the thin filament through the
state change of troponin units.
The activation is seen to occur
in patches, with some parts of the thin
filament more active than others. Implications of
this stochastic ``patchiness'' are not clear, but
it may be important to consider when discussing
overall aspects of force development.