The Markov-Dyck shifts arise from finite directed graphs. An expression for the zeta function of a Markov-Dyck shift is given. The derivation of this expression is based on a formula in Keller (G. Keller, Circular codes, loop counting, and zeta-functions, J. Combinatorial Theory 56 (1991), pp. 75– 83). For a class of examples that includes the Fibonacci-Dyck shift the zeta functions and topolog...

This analysis focuses on extending and developing some previous studies of energy transport through nanofluids to include the states combined convection flow a Williamson hybrid nanofluid that flows around cylinder. Mathematical models simulate behavior these upgraded are constructed by expanding Tiwari Das model, which then solved numerically via Keller box approaches. The accuracy results is ...

The effects of thermal conductivity which depend on temperature are conversely proportional with the linear function free convective flow where fluid is viscous and incompressible along a heated uniform vertical wavy surface has been examined in this study. boundary layer equations associated conditions that govern converted into nondimensional form by using an appropriate transformation. In do...

Recent research has indicated that operators may utilize the system-wide trust strategy when presented with two automation aids of unknown reliability (Keller, Bean, & Rice, 2009; Keller & Rice, 2010; Keller & Rice, 2009). This is undesirable as operators may under-utilize reliable aids when they are paired with unreliable aids. Two variables derived from Gestalt psychology’s law of similarity ...

The cellular Potts model (CPM) has been used for simulating various biological phenomena such as differential adhesion, fruiting body formation of the slime mold Dictyostelium discoideum, angiogenesis, cancer invasion, chondrogenesis in embryonic vertebrate limbs, and many others. We derive a continuous limit of a discrete one-dimensional CPM with the chemotactic interactions between cells in t...

A population-level model of bacterial chemotaxis is derived from a simple bacteriallevel model of behavior. This model, to be contrasted with the Keller-Segel equations, exhibits behavior we refer to as the “volcano effect”: steady-state bacterial aggregation forming a ring of higher density some distance away from an optimal environment. The model is derived, as in Erban and Othmer [7], from a...

This note studies the Monge–Ampère Keller–Segel equation in a periodic domain Td(d ≥ 2), a fully nonlinear modification of the Keller–Segel equation where the Monge–Ampère equation det(I + ∇2v) = u + 1 substitutes for the usual Poisson equation ∆v = u. The existence of global weak solutions is obtained for this modified equation. Moreover, we prove the regularity in L∞  0, T ;L∞ ∩W 1,1+γ(Td) ...

I. Maretty-Nielsen K, Aggerholm-Pedersen N, Keller J, Safwat A, Baerentzen S, Pedersen AB. Population-based Aarhus Sarcoma Registry: validity, completeness, and incidence of bone and soft tissue sarcomas in western Denmark. Clinical Epidemiology 2013; 5: 45–56 II. Maretty-Nielsen K, Aggerholm-Pedersen N, Safwat A, Jørgensen PH, Hansen BH, Baerentzen S, Pedersen AB, Keller J. Prognostic factors ...

This numerical analysis aims to observe and analyze the combined convection characteristics of micropolar tri-hybrid nano-liquid that moves around a cylindrical object, and, in addition, compare its thermal behavior hybrid mono nano-fluids. For this purpose, problem is modeled by developing Tiwari Das models, then governing model converted into dimensionless expressions, finally, solved using K...