Tumour invasion is an essential stage of cancer progression. Its main drivers are diffusion and taxis, a directed movement along the gradient stimulus. Here we review models with flux limited and/or taxis which have applications in modelling cell migration, particularly cancer. Flux limitation ensures control upon propagation speeds, precluding unnaturally quick spread typical for traditional p...

We consider a system of reaction-diffusion-advection equations which describes the evolution spatial distributions antagonistic populations under directed migration. The concept an ideal free distribution (IFD) for predator-prey is introduced. find conditions on parameters there exist explicit stationary solutions with nonzero densities both species. numerical approach staggered grids used to a...

Introduction: Working in the complex and ever changinghealthcare settings forces the nurses and nursing students to beequipped with lifelong learning skills. One of the lifelong learningskills is self-directed learning. This study aimed to explore theM.Sc. nursing students’ self-directed learning activities.Methods: A qualitative design using conventional content analysisapproach was used in th...

Widely used information diffusion models such as Independent Cascade Model, Susceptible Infected Recovered (SIR) and others fail to acknowledge that information is constantly subject to modification. Some aspects of information diffusion are best explained by network structural characteristics while in some cases strong influence comes from individual decisions. We introduce reinvention, the ab...

From elementary school biology on up, almost every diagram of every cell includes a sharp line dividing inside—a hive of wellordered biochemical activity—from outside, usually depicted as a void, with perhaps the occasional signaling molecule drifting randomly and alone toward the plasma membrane. But it just isn’t so. The extracellular matrix is extensive, complex, and vital to both the struct...

introduction: self-directed learning is originated from adult education which has currently gained a special place in educational systems and is influenced by many variables such as teaching self-efficacy and self-directed learning. this research investigated the relationship of teachers’ teaching with academic self-efficacy and self-directed learning from english language students' perspective...