A mathematical model of a new rear-end impact dummy neck, consisting of seven cervical vertebrae as well as the upper most thoracic element (T1) connected by hinge joints, was implemented using MADYMO. The motion of the T1 was prescribed using displacement data obtained from volunteer tests. The stiffnesses of the joints were progressive and supplemented by two muscle substitutes. The model was validated against volunteer test data at 7 km/h speed change. The response of the model agreed with the volunteer test results in displacement and acceleration of the head relative to the upper torso. This study showed that a combination of elastic stiffness and damping in the muscle substitutes, together with a progressive joint stiffness, resulted in a head-neck response close to that of the volunteer tests.