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20122021
most citedDiscrete and continuum models for the evolutionary and spatial dynamics of cancer: a very short introduction through two case studies

7 citations · 7 across the 2 of their papers we have counts for

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6 papers · 1 filter

math.AP2021

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…

math.AP2019

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…

math.AP2019

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…

math.AP2019

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…

math.AP2019

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…

math.AP2012

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…