  Ordinary differential equations provide an attractive framework for modeling
temporal dynamics in a variety of scientific settings. We show how consistent
estimation for parameters in ODE models can be obtained by modifying a direct
(non-iterative) least squares method similar to the direct methods originally
developed by Himmelbau, Jones and Bischoff. Our method is called the
bias-corrected least squares (BCLS) method since it is a modification of least
squares methods known to be biased. Consistency of the BCLS method is
established and simulations are used to compare the BCLS method to other
methods for parameter estimation in ODE models.
