Looking inside an invasion wave of cells using continuum models: Proliferation is the key

TL;DR: It is suggested that simple uniform distributions of growth factors immobilized to an extracellular matrix material may be as effective in directing cell migration into a wound site as more complex patterns with concentration gradients.

TL;DR: It is suggested that somatic mutations coupled with loss of clonal diversity may contribute to variable penetrance and expressivity in individuals with genetically identical ENS pathologies.

TL;DR: A combined experimental-modelling approach is reported showing that intercellular interactions contribute significantly to the spatial spreading of a population of cells and exploring the effects of a previously overlooked mechanism that contributes to population-level front movement: pushing.

TL;DR: It is proved that a scalar version of the high-resolution central scheme is nonoscillatory in the sense of satisfying the total-variation diminishing property in the one-dimensional case and the maximum principle in two-space dimensions.

TL;DR: These results show that E. coli is chemotactic toward oxygen and energy sources such as galactose, glucose, aspartic acid, threonine, or serine and that chemotaxis allows bacteria to find that environment which provides them with the greatest supply of energy.

TL;DR: The background and the themes of this ASM-centered special issue of TCS are briefly described.

TL;DR: This paper presents both continuous and discrete mathematical models which describe the formation of the capillary sprout network in response to chemical stimuli supplied by a solid tumor and takes into account essential endothelial cell-extracellular matrix interactions via the inclusion of the matrix macromolecule fibronectin.