34 citations · 226 across the 27 of their papers we have counts for
10 papers · 1 filter
A hybrid discrete-continuum modelling approach to explore the impact of T-cell infiltration on anti-tumour immune response
Luis Almeida, Chloe Audebert, Emma Leschiera +1
We present a spatial hybrid discrete-continuum modelling framework for the interaction dynamics between tumour cells and cytotoxic T cells, which play a pivotal role in the immune…
The impact of phenotypic heterogeneity on chemotactic self-organisation
Fiona R Macfarlane, Tommaso Lorenzi, Kevin J Painter
The capacity to aggregate through chemosensitive movement forms a paradigm of self-organisation, with examples spanning cellular and animal systems. A basic mechanism assumes a phe…
Travelling-wave analysis of a model of tumour invasion with degenerate, cross-dependent diffusion
Chloé Colson, Faustino Sánchez-Garduño, Helen M. Byrne +2
In this paper, we carry out a travelling-wave analysis of a model of tumour invasion with degenerate, cross-dependent diffusion. We consider two types of invasive fronts of tumour…
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…
Invasion fronts and adaptive dynamics in a model for the growth of cell populations with heterogeneous mobility
Tommaso Lorenzi, Benoît Perthame, Xinran Ruan
We consider a model for the dynamics of growing cell populations with heterogeneous mobility and proliferation rate. The cell phenotypic state is described by a continuous structur…
From a discrete model of chemotaxis with volume-filling to a generalised Patlak-Keller-Segel model
Federica Bubba, Tommaso Lorenzi, Fiona R Macfarlane
We present a discrete model of chemotaxis whereby cells responding to a chemoattractant are seen as individual agents whose movement is described through a set of rules that result…
A structured population model of clonal selection in acute leukemias with multiple maturation stages
Tommaso Lorenzi, Anna Marciniak-Czochra, Thomas Stiehl
Recent progress in genetic techniques has shed light on the complex co-evolution of malignant cell clones in leukemias. However, several aspects of clonal selection still remain un…
Asymptotic analysis of selection-mutation models in the presence of multiple fitness peaks
Tommaso Lorenzi, Camille Pouchol
We study the long-time behaviour of phenotype-structured models describing the evolutionary dynamics of asexual species whose phenotypic fitness landscape is characterised by multi…
From individual-based mechanical models of multicellular systems to free-boundary problems
Tommaso Lorenzi, Philip J. Murray, Mariya Ptashnyk
In this paper we present an individual-based mechanical model that describes the dynamics of two contiguous cell populations with different proliferative and mechanical characteris…
Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies
Alexander Lorz, Tommaso Lorenzi, Michael E. Hochberg +2
Resistance to chemotherapies, particularly to anticancer treatments, is an increasing medical concern. Among the many mechanisms at work in cancers, one of the most important is th…