Diffusion model for genotype-dependent migration

A model for spectral diffusion induced by resonant energy migration

Parametric model based assessment of genotype×environment interactions for grain yield in durum wheat under irrigation

The objectives of this study were to assess the genotype (G) by environment (E) interaction of grain yield of durum wheat(Triticum durum Desf.) based on parametric models, additive main effects and multiplicative interaction (AMMI) and joint linear regression models; and compare the relative efficiency of the two models in explaining the GE effects. Twenty-three genotypes were evaluated across ...

Self-similar solutions to a density-dependent reaction-diffusion model.

In this paper, we investigated a density-dependent reaction-diffusion equation, u(t)=(u(m))(xx)+u-u(m). This equation is known as the extension of the Fisher or Kolmogoroff-Petrovsky-Piscounoff equation, which is widely used in population dynamics, combustion theory, and plasma physics. By employing a suitable transformation, this equation was mapped to the anomalous diffusion equation where th...

A Data-validated Density-dependent Diffusion Model of Glioblastoma Growth

Glioblastoma multiforme is an aggressive brain cancer that is extremely fatal. It is characterized by both proliferation and large amounts of migration, which contributes to the difficulty of treatment. Previous models of this type of cancer growth often include two separate equations to model proliferation or migration. We propose a single equation which uses densitydependent diffusion to capt...

Anomalous diffusion on dynamical networks: A model for interacting epithelial cell migration

Stefan Thurner, Nikolaus Wick, Rudolf Hanel, Roland Sedivy, and Lukas Huber a Klinik für HNO, Universität Wien; Austria, b Institut für Mathematik, NuHAG, Universität Wien; Austria, c Klinisches Institut für Pathologie, Universität Wien; Austria, d Institute for Molecular Pathology, Vienna; Austria, e Institut für Biomedizinische Technik und Physik, Universität Wien; Austria, f Institut für Ana...