266 citations · 330 across the 13 of their papers we have counts for
13 papers
The influence of nucleus mechanics in modelling adhesion-independent cell migration in structured and confined environments
Chiara Giverso, Gaspard Jankowiak, Luigi Preziosi +1
Recent biological experiments have shown that certain types of cells are able to move in structured and confined environment even without the activation of focal adhesion. Focusing…
An optimization based 3D-1D coupling strategy for tissue perfusion and chemical transport during tumor-induced angiogenesis
Stefano Berrone, Chiara Giverso, Denise Grappein +2
A new mathematical model and numerical approach are proposed for the simulation of fluid and chemical exchanges between a growing capillary network and the surrounding tissue, in t…
Effective interface conditions for continuum mechanical models describing the invasion of multiple cell populations through thin membranes
Chiara Giverso, Tommaso Lorenzi, Luigi Preziosi
We consider a continuum mechanical model for the migration of multiple cell populations through parts of tissue separated by thin membranes. In this model, cells belonging to diffe…
Asymptotic Analysis of a Two-Phase Model of Solid Tumour Growth
Andrea Genovese de Oliveira, John R. King
We investigate avascular tumour growth as a two-phase process consisting of cells and liquid. Based on the one-dimensional continuum moving-boundary model formulated by (Byrne, Kin…
Control of tumour growth distributions through kinetic methods
L. Preziosi, G. Toscani, M. Zanella
The mathematical modeling of tumor growth has a long history, and has been mathematically formulated in several different ways. Here we tackle the problem in the case of a continuo…
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…
Derivation and application of effective interface conditions for continuum mechanical models of cell invasion through thin membranes
Mark A. J. Chaplain, Chiara Giverso, Tommaso Lorenzi +1
We consider a continuum mechanical model of cell invasion through thin membranes. The model consists of a transmission problem for cell volume fraction complemented with continuity…
A Multiphase First Order Model for Non-Equilibrium Sand Erosion, Transport and Sedimentation
Luigi Preziosi, Davide Fransos, Luca Bruno
Three phenomena are involved in sand movement: erosion, wind transport, and sedimentation. This paper presents a comprehensive easy-to-use multiphase model that include all three a…
A hybrid mathematical model for self-organizing cell migration in the zebrafish lateral line
Ezio Di Costanzo, Roberto Natalini, Luigi Preziosi
In this paper we propose a "discrete in continuous" mathematical model for the morphogenesis of the posterior lateral line system in zebrafishes. Our model follows closely the resu…
Multiphase modeling of tumor growth with matrix remodeling and fibrosis
Andrea Tosin, Luigi Preziosi
We present a multiphase mathematical model for tumor growth which incorporates the remodeling of the extracellular matrix and describes the formation of fibrotic tissue by tumor ce…
Percolation, Morphogenesis, and Burgers Dynamics in Blood Vessels Formation
A. Gamba, D. Ambrosi, A. Coniglio +6
Experiments of in vitro formation of blood vessels show that cells randomly spread on a gel matrix autonomously organize to form a connected vascular network. We propose a simple m…