[en] An integral or lumped-parameter modeling technique is presented for the analysis of nonequilibrium, nonhomogeneous, one-dimensional two-phase flow. The method is designed to increase computing efficiency over standard finite difference techniques and to describe accurately the motion of flow regime interfaces. Computing efficiency is achieved by converting the partial differential equations of the conservation laws into ordinary differential equations and by introducing profile estimates. Flow regime interfaces are tracked with the aid of kinematic jump conditions. The governing equations are derived, and the method is elucidated on three applications. One application involves a closed-loop transient, the second one involves the dynamics of a liquid level, while the third application deals with the level swelling above a nonhomogeneous two-phase mixture. Comparisons are presented between lumped parameter modeling solutions, solutions from finite difference techniques and analytical solutions. The comparisons show good agreement. The important role of profile functions is discussed