Motivated by the widespread use of hybrid-discrete cellular automata in modeling cancer, two simple growth models are studied on the two dimensional lattice that incorporate a nutrient, assumed to be oxygen. In the first model the oxygen concentration u(x, t) is computed based on the geometry of the growing blob, while in the second one u(x, t) satisfies a reaction-diffusion equation. A thresho...

A piano fingering indicates which finger should play each note in a piece. Such a guideline is very helpful for both amateur and experienced players in order to play a piece fluently. In this paper, we propose a variable neighborhood search algorithm to generate piano fingerings for complex polyphonic music, a frequently encountered case that was ignored in previous research. The algorithm take...

Oral and manual exploration are part of the foundation of problem solving and cognition in infancy. How these develop in an at-risk population, infants in poverty, is unknown. The current study tested exploratory behaviors longitudinally at 6, 9, and 12 months in infants from high- and low-socioeconomic (SES) families. Oral exploration consisted of passive and active mouthing and looks after ac...

Acoustic-fluid interactions not only has had a long history but has recently experienced renewed scrutiny because of their vast potential for microscale fluid and particle manipulation. Here we unravel a fascinating and anomalous ensemble of dynamic 'acoustowetting' phenomena in which a thin film drawn from a sessile drop first spreads in opposition to the acoustic wave propagation direction. T...

In this paper we develop a mathematical model of Hele-Shaw flows in which two immiscible fluids react and form a gel-like phase at the interface, a phenomenon which has been observed in recent experiments. This phase significantly stiffens the interface. The interface is modeled as an elastic membrane which has a bending rigidity dependent on the local curvature. A dispersion relation is derive...

The displacement of a more viscous fluid by a less viscous one in a quasi-two dimensional geometry leads to the formation of complex fingering patterns. This fingering has been characterized by a most unstable wavelength, λc, which depends on the viscosity difference between two immiscible fluids and sets the characteristic width of the fingers. How the finger length grows after the instability...

We study miscible Rayleigh-Taylor (RT) fingering instability in two-dimensional homogeneous porous media, which the fluid density varies non-monotonically as a function of solute concentration such that maximum lies interior domain, thus creating stable and an unstable gradients evolve time. With help linear stability analysis (LSA) well nonlinear simulations effects on RT fingers are investiga...

Quadrant geometry with permeability and wettability contrast occurs in different events, such as faults, wellbore damage, perforation zones. In these understanding the dynamics of immiscible fluid displacement is vital for enhanced oil recovery. Fluid flow studies showed that viscous fingering due to instabilities depend on mobility fluids capillary forces. Besides, porous domain heterogeneity ...

Global climate change is happening but may be mitigated by the technology of geological carbon dioxide ( CO 2) sequestration. To gain comprehensive insights into this approach, we perform pore-scale simulations displacement between two miscible fluids in porous media using a new multiple-relaxation-time lattice Boltzmann model. This study marks first attempt to investigate viscous fingering dyn...

This work presents a method for the extraction of instrumental controls during guitar performances. The method is based on the analysis of multimodal data consisting of a combination of motion capture, audio analysis and musical score. High speed video cameras based on marker identification are used to track the position of finger bones and articulations and audio is recorded with a transducer ...