In order to increase the accuracy of microscopic traffic flow simulation, two acceleration models are presented to simulate car-following behaviors of the lane-changing vehicle and following putative vehicle during the discretionary lane-changing preparation ( DLCP) process, respectively. The proposed acceleration models can reflect vehicle interaction characteristics. Samples used for describing the starting point and the ending point of DLCP are extracted from a real NGSIM vehicle trajectory data set. The acceleration model for a lane-changing vehicle is supposed to be a linear acceleration model. The acceleration model for the following putative vehicle is constructed by referring to the optimal velocity model, in which optimal velocity is defined as a linear function of the velocity of putative leading vehicle. Similar calibration, a hypothesis test and parameter sensitivity analysis were conducted on the acceleration model of the lane-changing vehicle and following putative vehicle, respectively. The validation results of the two proposed models suggest that the training and testing errors are acceptable compared with similar works on calibrations for car following models. The parameter sensitivity analysis shows that the subtle observed error does not lead to severe variations of car-following behaviors of the lane-changing vehicle and following putative vehicle.