为了进一步研究镫骨肌声反射的非线性行为,采用控制论的方法对同侧声反射进行了数学建模。针对镫骨肌声反射的声导纳变化曲线,建立声反射动态系统的微分方程,进一步推导出相应的传递函数。该数学模型能描述声反射的潜伏期、上升过程、适应过程等现象。计算机模拟结果表明,多个频率的实验数据与仿真结果都比较一致。
In order to further study the nonlinear behavior of stapedial acoustic reflex, we proposed a mathematical model of the ipsilateral acoustic reflex using the methods of cybernetics. According to the acoustic admittance curve of stapedius, we wrote down the differential equation of the acoustic reflex dynamic system, and deduced the corresponding transfer function. The mathematical model can describe the latency, rising process, adaptation, and other phenomena of acoustic reflex. The model was simulated on a digital computer, a variety of experimental data was well matched.