34 citations · 226 across the 27 of their papers we have counts for
30 papers
An individual-based model to explore the impact of psychological stress on immune infiltration into tumour spheroids
Emma Leschiera, Gheed Al-Hity, Melanie S. Flint +4
In recent in vitro experiments on co-culture between breast tumour spheroids and activated immune cells, it was observed that the introduction of the stress hormone cortisol result…
Modelling coevolutionary dynamics in heterogeneous SI epidemiological systems across scales
Tommaso Lorenzi, Elisa Paparelli, Andrea Tosin
We develop a new structured compartmental model for the coevolutionary dynamics between susceptible and infectious individuals in heterogeneous SI epidemiological systems. In this…
Travelling waves in a coarse-grained model of volume-filling cell invasion: Simulations and comparisons
Rebecca M. Crossley, Philip K. Maini, Tommaso Lorenzi +1
Many reaction-diffusion models produce travelling wave solutions that can be interpreted as waves of invasion in biological scenarios such as wound healing or tumour growth. These…
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…
Individual-based and continuum models of phenotypically heterogeneous growing cell populations
Fiona R Macfarlane, Xinran Ruan, Tommaso Lorenzi
Existing studies comparing individual-based models of growing cell populations and their continuum counterparts have mainly focused on homogeneous populations, in which all cells h…
Discrete and continuum models for the coevolutionary dynamics between CD8+ cytotoxic T lymphocytes and tumour cells
Luís Almeida, Chloe Audebert, Emma Leschiera +1
We present an individual-based model for the coevolutionary dynamics between CD8+ cytotoxic T lymphocytes (CTLs) and tumour cells. In this model, every cell is viewed as an individ…
Trade-offs between chemotaxis and proliferation shape the phenotypic structuring of invading waves
Tommaso Lorenzi, Kevin J Painter
Chemotaxis-driven invasions have been proposed across a broad spectrum of biological processes, from cancer to ecology. The influential system of equations introduced by Keller and…
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…
A mathematical model to study the impact of intra-tumour heterogeneity on anti-tumour CD8+ T cell immune response
Emma Leschiera, Tommaso Lorenzi, Shensi Shen +2
Intra-tumour heterogeneity (ITH) has a strong impact on the efficacy of the immune response against solid tumours. The number of sub-populations of cancer cells expressing differen…
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…
Evolutionary dynamics in an SI epidemic model with phenotype-structured susceptible compartment
Tommaso Lorenzi, Andrea Pugliese, Mattia Sensi +1
We present an SI epidemic model whereby a continuous variable captures variability in proliferative potential and resistance to infection among susceptibles. The occurrence of heri…
Mechanical models of pattern and form in biological tissues: the role of stress-strain constitutive equations
Chiara Villa, Mark A. J. Chaplain, Alf Gerisch +1
Mechanochemical models of pattern formation in biological tissues have been used to study a variety of biomedical systems and describe the physical interactions between cells and t…
A mathematical study of the influence of hypoxia and acidity on the evolutionary dynamics of cancer
Giada Fiandaca, Marcello Delitala, Tommaso Lorenzi
Hypoxia and acidity act as environmental stressors promoting selection for cancer cells with a more aggressive phenotype. As a result, a deeper theoretical understanding of the spa…
Macroscopic limit of a kinetic model describing the switch in T cell migration modes via binary interactions
Gissell Estrada-Rodriguez, Tommaso Lorenzi
Experimental results on the immune response to cancer indicate that activation of cytotoxic T lymphocytes (CTLs) through interactions with dendritic cells (DCs) can trigger a chang…
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…
A hybrid discrete-continuum approach to model Turing pattern formation
Fiona R Macfarlane, Mark AJ Chaplain, Tommaso Lorenzi
Since its introduction in 1952, Turing's (pre-)pattern theory ("the chemical basis of morphogenesis") has been widely applied to a number of areas in developmental biology. The rel…
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…
Evolutionary dynamics in vascularised tumours under chemotherapy
Chiara Villa, Mark A. J. Chaplain, Tommaso Lorenzi
We consider a mathematical model for the evolutionary dynamics of tumour cells in vascularised tumours under chemotherapy. The model comprises a system of coupled partial integro-d…
Discrete and continuum models for the evolutionary and spatial dynamics of cancer: a very short introduction through two case studies
Tommaso Lorenzi, Fiona R. Macfarlane, Chiara Villa
We give a very short introduction to discrete and continuum models for the evolutionary and spatial dynamics of cancer through two case studies: a model for the evolutionary dynami…
Modelling the emergence of phenotypic heterogeneity in vascularised tumours
Chiara Villa, Mark A. J. Chaplain, Tommaso Lorenzi
We present a mathematical study of the emergence of phenotypic heterogeneity in vascularised tumours. Our study is based on formal asymptotic analysis and numerical simulations of…
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…
Evolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environments
Aleksandra Ardaševa, Robert A. Gatenby, Alexander R. A. Anderson +3
Living species, ranging from bacteria to animals, exist in environmental conditions that exhibit spatial and temporal heterogeneity which requires them to adapt. Risk-spreading thr…
A stochastic individual-based model to explore the role of spatial interactions and antigen recognition in the immune response against solid tumours
Fiona R Macfarlane, Mark AJ Chaplain, Tommaso Lorenzi
Spatial interactions between cancer and immune cells, as well as the recognition of tumour antigens by cells of the immune system, play a key role in the immune response against so…