We present a computationally efficient molecular dynamics algorithm de
signed to take advantage of the inherent separation of time scales in
biomolecular systems. The algorithm is essentially a generalization of
the previously introduced reversible reference system propagation alg
orithm (r-RESPA) which employs a Trotter factorization of the Liouvill
e propagator to generate numerical integration schemes for molecular d
ynamics applications. The method is compared with the velocity Verlet
integration algorithm in a molecular dynamics (MD) simulation of the p
rotein crambin in vacuo. The multiple-time-step algorithm is shown to
be able to take a much larger time step for a comparable level of accu
racy than that of the standard method, leading to a 4-5-fold reduction
in the CPU time required to calculate the nonbonded forces.