KIF1A, a processive single headed kinesin superfamily motor, hydrolyzes Adenosine triphosphate (ATP) to move along a filamentous track called microtubule. The stochastic movement of KIF1A on the track is characterized by an alternating sequence of pause and translocation. The sum of the durations of pause and the following translocation defines the dwell time. Using the NOSC model (Nishinari et...

In the switched system model, discrete mechanisms of a hybrid system are abstracted away in terms of an exogenous switching signal which brings about the mode switches. The Average Dwell time (ADT) property defines restricted classes of switching signals which provide sufficient conditions for proving stability of switched systems. In this paper, we use a specialization of the Hybrid I/O Automa...

The stability properties of linear switched systems consisting of both Hurwitz stable and unstable subsystems are investigated by using piecewise Lyapunov functions incorporated with an average dwell time approach. It is shown that if the average dwell time is chosen sufficiently large and the total activation time ratio between Hurwitz stable and unstable subsystems is not smaller than a speci...

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This paper addresses the scheduling problem of radar dwells in multi-function phase array radars. Well-known and new challenges make it difficult to provide predictable performance for real-time dwell scheduling. We developed the template-based scheduling algorithm to guarantee the performance requirement with low on-line overhead. Simulation results show that the template-based scheduling appr...

The statistics of steps and dwell times in reversible molecular motors differ from those of cycle completion in enzyme kinetics. The reason is that a step is only one of several transitions in the mechanochemical cycle. As a result, theoretical results for cycle completion in enzyme kinetics do not apply to stepping data. To allow correct parameter estimation, and to guide data analysis and exp...

G protein-coupled receptors (GPCRs) are the major transducers of external stimuli and key therapeutic targets in many pathological conditions. When activated by different ligands, one receptor can elicit multiple signalling cascades that are mediated by G proteins or β-arrestin, a process defined as functional selectivity or ligand bias. However, the dynamic mechanisms underlying β-arrestin sig...