Consequences of cell-to-cell P-glycoprotein transfer on acquired multidrug resistance in breast cancer: a cell population dynamics model
Background Cancer is a proliferation disease affecting a genetically unstable cell
population, in which molecular alterations can be somatically inherited by genetic …
population, in which molecular alterations can be somatically inherited by genetic …
Dynamics of sexual populations structured by a space variable and a phenotypical trait
S Mirrahimi, G Raoul - Theoretical population biology, 2013 - Elsevier
We study sexual populations structured by a phenotypic trait and a space variable, in a non-
homogeneous environment. Departing from an infinitesimal model, we perform an …
homogeneous environment. Departing from an infinitesimal model, we perform an …
Susceptible-infectious-recovered models revisited: From the individual level to the population level
The classical susceptible-infectious-recovered (SIR) model, originated from the seminal
papers of Ross [51] and Ross and Hudson [52, 53] in 1916–1917 and the fundamental …
papers of Ross [51] and Ross and Hudson [52, 53] in 1916–1917 and the fundamental …
Self-similarity in a general aggregation–fragmentation problem. Application to fitness analysis
We consider the linear growth and fragmentation equation: with general coefficients τ, β and
κ. Under suitable conditions (see Doumic Jauffret and Gabriel, 2010 [1]), the first eigenvalue …
κ. Under suitable conditions (see Doumic Jauffret and Gabriel, 2010 [1]), the first eigenvalue …
Stochastic dynamics for adaptation and evolution of microorganisms
We present a model for the dynamics of a population of bacteria with a continuum of traits,
who compete for resources and exchange horizontally (transfer) an otherwise vertically …
who compete for resources and exchange horizontally (transfer) an otherwise vertically …
Local stability of perfect alignment for a spatially homogeneous kinetic model
We prove the nonlinear local stability of Dirac masses for a kinetic model of alignment of
particles on the unit sphere, each point of the unit sphere representing a direction. A …
particles on the unit sphere, each point of the unit sphere representing a direction. A …
Protection zones for survival of species in random environment
It is widely recognized that unregulated harvesting and hunting of biological resources can
be harmful and endanger ecosystems. Therefore, various measures to prevent the biological …
be harmful and endanger ecosystems. Therefore, various measures to prevent the biological …
Long-time asymptotics for nonlinear growth-fragmentation equations
P Gabriel - arXiv preprint arXiv:1102.2871, 2011 - arxiv.org
We are interested in the long-time asymptotic behavior of growth-fragmentation equations
with a nonlinear growth term. We present examples for which we can prove either the …
with a nonlinear growth term. We present examples for which we can prove either the …
Dynamics of a kinetic model describing protein exchanges in a cell population
We consider a cell population structured by a positive real number, describing the number of
P-glycoproteins carried by the cell. We are interested in the effect of those proteins on the …
P-glycoproteins carried by the cell. We are interested in the effect of those proteins on the …
Two kinetic models for non-instantaneous binary alignment collisions
L Kanzler, C Schmeiser, V Tora - arXiv preprint arXiv:2203.15711, 2022 - arxiv.org
A new type of kinetic models with non-instantaneous binary collisions is considered.
Collisions are described by a transport process in the joint state space of a pair of particles …
Collisions are described by a transport process in the joint state space of a pair of particles …