Reversibility is a widely accepted principle in physics, according to which, the microscopic laws governing the dynamics of the physical nature can hypothetically be reversed to let the system run backward in time. Reversible cellular automata (CA) have been extensively studied as convenient tools for modeling physical systems, whenever capturing the microscopic reversibility is desirable (see ...

Transportation practice is increasingly recognizing the need for dynamic models for realistic scenario analyses and policy decision-making. Dynamic Traffic Assignment (DTA) theory and tools are now thought to be sufficiently advanced to meet this need. However, DTA has historically been associated with mesoscopic models, motivated by the perceived computational intractability of high-fidelity m...

We review modeling of astrocyte ion dynamics with a specific focus on the implications of socalled spatial potassium buffering where excess potassium in the extracellular space (ECS) is transported away to prevent pathological neural spiking. The recently introduced KirchoffNernst-Planck (KNP) scheme for modeling ion dynamics in astrocytes (and brain tissue in general) is outlined and used to s...

In this paper, we develop a mechanical system inspired microscopic traffic model to characterize the longitudinal interaction among chain of vehicles. particular, propose mass-spring-damper-clutch based car-following (CF) that can naturally capture behavior rational driver. Specifically, spring and damper well driver’s tendency maintain same speed as vehicle ahead while keeping (speed-dependent...