基于动力冲程模型并结合布朗棘轮模型的扩散机制,提出了分子马达的冲激力模型。该模型基于一系列具有时间或空间周期性的δ函数来模拟分子马达的做功冲击,得到了关于几率流(速度)的解析结果。计算结果与实验数据相符合。为了产生非零的几率流,新模型并不要求分子马达与轨道间的势能必须是不对称的,因而相对于布朗棘轮模型来说更加稳健。
Combining the Brownian ratchet models and the power stroke models, the authors proposed a new mathematical scheme to quantitatively describe the dynamics of molecular motors. That was, a set of functions, periodic either in time or in space, was introduced to modeling the power strokes. Analytic solutions for the probability current are achieved and the relationships of the current with load and asymmetry were seen about. The results were consistent with experimental data. There was no need for the interaction potential between the molecular motor and its track was asymmetric in this model, which makes it more robust than the Brownian ratchet models.