Pattern formation in large domains.

Pattern formation on large domains

Compatibility of B-Sheets with Epitopes Predicted by Immunoinformatic in Human IgG

Background & Aims: Antibodies, well-known as immunoglobulins (Igs), are produced by B lymphocytes and specifically defend against pathogens. Igs are glycoproteins and have high diagnostic value in several diseases including infections (1). Igs are composed of light and heavy chains (2, 3). Each chain is comprised of about 110-120 amino acid residues which create immunoglobulin folds named domai...

Uniform Energy Distribution for an Isoperimetric Problem with Long-range Interactions

S(u) denotes the interfacial area associated with the surfaces upon which u jumps, and G(x, y) denotes the Green’s function for − on QL with Neumann boundary conditions. The variational problem consists of competing short-range (S(u)) and long-range (the nonlocal Green’s function term) contributions. The former term is attractive, favoring large domains of pure phases with boundaries of minimal...

Comparison of the effect of Si and Ge presence on phase formation process, the structural and magnetic properties of Co2FeX (X=Ge,Si) Heusler compounds

In this study, the Co2FeX (X=Ge, Si) Heusler compounds with 30 valence electrons, which are made by using mechanical alloying and arc melting methods were studied. The crystallization of samples was confirmed by XRD data in both manufacturing methods. The results showed that the presence of Si than Ge in the compound played a more effective role to creation a large scale atomic ordering, and th...

Reaction-diffusion Models for Biological Pattern Formation

We consider the use of reaction-diffusion equations to model biological pattern formation and describe the derivation of the reaction terms for several illustrative examples. After a brief discussion of the Turing instability in such systems we extend the model formulation to incorporate domain growth. Comparisons are drawn between solution behaviour on growing domains and recent results on sel...