We have modeled the nonisometric contractile dynamics of smooth muscle
by modifying a four-state model of actin and myosin bonds originally
proposed by Hai and Murphy to simulate the isometric contractions of v
ertebrate smooth muscle. The model includes a latch bridge, which cycl
es more slowly than regular cross bridges. We generalized this model t
o represent the calcium-regulated processes of vertebrate and inverteb
rate smooth muscles. We added length dynamics by assuming length-depen
dent bonding and unbonding rates for the cross bridges. The calculatio
n of the cross-bridge length distribution was simplified by assuming a
Gaussian distribution, as first done by Zahalak for skeletal muscle.
To test the performance of this model, we simulated isometric and noni
sometric responses of different kinds of smooth muscle, including vasc
ular smooth muscle, airway smooth muscle, molluscan catch muscle (ante
rior byssus retractor muscle), and Aplysia 12 muscle. The model captur
es the economical force maintenance property at the later stages of is
ometric muscle contraction and responses to imposed lengthening and sh
ortening movements.