The multisite phosphorylation-dephosphorylation cycle is a motif repeatedly used in cell signaling. This motif itself can generate a variety of dynamic behaviors like bistability and ultrasensitivity without direct positive feedbacks. In this paper, we study the number of positive steady states of a general multisite phosphorylation-dephosphorylation cycle, and how the number of positive steady...

In this paper power system model is represented in a new domain that relates to Multi-Resolution Analysis (MRA) space. By developing mathematical model of elements in this space using Galerkin method, a new alternative method for power system simulation in nonsinusoidal and periodic conditions is developed. The mathematical formulation and characteristics of new proposed space is expressed. Als...

This paper describes Pareto optimal allocations when agents have risk-sensitive preferences as formulated by Hansen and Sargent (1995). Necessary and sufficient conditions are given for the existence of a steady state at which Pareto weights are time-invariant. Sufficient conditions are given for steady states to be stable or unstable. When all agents are risk-sensitive with power reward functi...

The increasingly restrictive limits on exhaust emissions of automotive internal combustion engines imposed in recent years are pushing OEMs to seek new solutions improve powertrain efficiency. Despite the increase electric and hybrid powertrains, turbocharging technique is still one most adopted solution achieve good efficiency with high specific power levels. Nowadays, turbocharged downsized c...