Brokaw C J, Rintala D
J Mechanochem Cell Motil. 1977 Sep;4(3):205-32.
A stochastic computational method developed for analysis of two-state cross-bridge models was extended and used to compute the oscillatory movement generated by three-state cross-bridge models containing a rate function proportional to ATP concentration. Only one of the possible three-state models appears satisfactory; with this model, the frequency of oscillation, at constant amplitude, responds to changes in both ATP concentration and viscosity in the same way as real flagella. In this model, ATP binding causes cross-bridge detachment, which is rate limiting at low ATP concentrations; while at high ATP concentrations a transition between two attached states limits the rate of cross-bridge detachment. Since this model agrees with observations on actomyosin ATPase kinetics, the data on flagellar oscillation frequency support the idea that the movement-generating mechanisms of flagella and muscle are similar.
一种为分析双态横桥模型而开发的随机计算方法得到扩展，并用于计算由包含与ATP浓度成比例的速率函数的三态横桥模型产生的振荡运动。可能的三态模型中只有一个看起来令人满意；在这个模型中，在恒定振幅下，振荡频率对ATP浓度和粘度变化的响应方式与真实鞭毛相同。在这个模型中，ATP结合导致横桥分离，这在低ATP浓度下是限速步骤；而在高ATP浓度下，两个附着状态之间的转变限制了横桥分离的速率。由于这个模型与关于肌动球蛋白ATP酶动力学的观察结果一致，鞭毛振荡频率的数据支持了鞭毛和肌肉的运动产生机制相似的观点。
