34 citations · 226 across the 27 of their papers we have counts for
6 papers · 1 filter
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…