We present a simplified lattice model to study calcium dynamics in the endoplasmic reticulum membrane. Calcium channels and calcium ions are placed in two interpenetrating square lattices which are connected in two ways: (i) via calcium release and (ii) because transitions between channel states are calcium dependent. The opening or closing of a channel is a stochastic process controlled by two...

We present a new lattice model for proteins that incorporates a tubelike anisotropy by introducing a preference for mutually parallel alignments in the conformations. The model is demonstrated to capture many aspects of real proteins.

where Λ is the physical scale of the theory related to the running coupling αs = αs(Q ) at the scale Q. Since Λ has no expansion in αs, perturbative contributions are present only in W0, which from power counting is quartically divergent in the UV region. The term with the power Λ/Q is absent since there are no gauge invariant operators of dimension two. In the lattice theory all frequencies ar...

We introduce a lattice model of protein conformations which is able to reproduce second structures of proteins (alpha–helices and beta– sheets). This model is based on the following two main ideas. First, we model backbone parts of amino acid residues in a peptide chain by edges in the cubic lattice which are not parallel to the coordinate axes. Second, we describe possible contacts of amino ac...

Protein folds are highly designable, in the sense that many sequences fold to the same conformation. In the present work we derive an expression for the designability in a 20-letter lattice model of proteins which, relying only on the central limit theorem, has a generality which goes beyond the simple model used in its derivation. This expression displays an exponential dependence on the energ...

Markov random field (MRF) learning is intractable, and the approximation algorithms are computationally expensive. Since only a small subset of MRF is used frequently in computer vision, we characterize this subset with three concepts: (1) Lattice, (2) Homogeneity, and (3) Inertia; and design a non-markov high-bias low-variance model as an alternative to this subclass of MRF. Our goal is robust...

This work presents a numerical analysis of entropy generation in Γ-Shaped enclosure that was submitted to the natural convection process using a simple thermal lattice Boltzmann method (TLBM) with the Boussinesq approximation.  A 2D thermal lattice Boltzmann method with 9 velocities, D2Q9, is used to solve the thermal flow problem. The simulations are performed at a constant Prandtl number (Pr ...

x-ray diffraction peak profile analysis was used to identify changes in the lattice distortions during isothermal aging of fe-10ni-7mn (wt. %) maraging steel. integral peak breadths were analyzed using classical williamson-hall equation taking the elastic anisotropy into account. it was found that substantial lattice distortions rise during precipitation hardening which depend strongly on the s...

The pilgrimage (Hajj) is an annual event that takes place in Saudi Arabia. Three major government ministries (Foreign, Internal, and Hajj) create and process Hajj data separately in their systems. Currently all data sharing between these ministries regarding Hajj is done manually. Benefits from sharing data electronically are obvious. But due to the sensitivity of some data and the common requi...