Modified Fading Memory Model to Describe ASM Dynamics
A modified fading memory model is introduced in this work to describe the behavior of airway smooth muscle dynamics. The model is used to simulate two biophysical cases: a finite duration for the step change in length and a case for external longitudinal oscillations. For both cases, the model describes the cross-bridge behaviour well and indicates that the muscle length change is the most important factor to determine the degree of cross-bridge detachment. However, the frequency of oscillation represents the velocity of the length change, which affects the cross-bridge cycling rate as reflected in the lower frequency range. The model is intended to interpret certain biophysical processes and not to accurately model the biophysical events underlying muscle contraction.