36 citations · 147 across the 21 of their papers we have counts for
7 papers · 1 filter
Phenotype-structuring of non-local kinetic models of cell migration driven by environmental sensing
Tommaso Lorenzi, Nadia Loy, Chiara Villa
The capability of cells to form surface extensions to non-locally probe the surrounding environment plays a key role in cell migration. The existing mathematical models for migrati…
A non-local kinetic model for cell migration: a study of the interplay between contact guidance and steric hindrance
Martina Conte, Nadia Loy
We propose a non-local model for contact guidance and steric hindrance depending on a single external cue, namely the extracellular matrix, that affects in a twofold way the polari…
Direction-Dependent Turning Leads to Anisotropic Diffusion and Persistence
Nadia Loy, Thomas Hillen, Kevin John Painter
Cells and organisms follow aligned structures in their environment, a process that can generate persistent migration paths. Kinetic transport equations are a popular modelling tool…
Multi-cue kinetic model with non-local sensing for cell migration on a fibers network with chemotaxis
N. Loy, M. Conte
Cells perform directed motion in response to external stimuli that they detect by sensing the environment with their membrane protrusions. In particular, several biochemical and bi…
Stability of a non-local kinetic model for cell migration with density dependent orientation bias
Nadia Loy, Luigi Preziosi
The aim of the article is to study the stability of a non-local kinetic model proposed by Loy and Preziosi (2019a). We split the population in two subgroups and perform a linear st…
Modelling physical limits of migration by a kinetic model with non-local sensing
Nadia Loy, Luigi Preziosi
Migrating cells choose their preferential direction of motion in response to different signals and stimuli sensed by spanning their external environment. However, the presence of d…
Kinetic models with non-local sensing determining cell polarization and speed according to independent cues
Nadia Loy, Luigi Preziosi
Cells move by run and tumble, a kind of dynamics in which the cell alternates runs over straight lines and re-orientations. This erratic motion may be influenced by external factor…