397 citations · 777 across the 11 of their papers we have counts for
12 papers
Model-based assessment of the Role of Uneven Partitioning of Molecular Content on Heterogeneity and Regulation of Differentiation in CD8 T-cell Immune Responses
Simon Girel, Christophe Arpin, Jacqueline Marvel +2
Activation of naive CD8 T-cells can lead to the generation of multiple effector and memory subsets. Multiple parameters associated with activation conditions are involved in genera…
Existence and stability of periodic solutions of an impulsive differential equation and application to CD8 T-cell differentiation
Simon Girel, Fabien Crauste
Unequal partitioning of the molecular content at cell division has been shown to be a source of heterogeneity in a cell population. We propose to model this phenomenon with the hel…
Optimal linear stability condition for scalar differential equations with distributed delay
Samuel Bernard, Fabien Crauste
Linear scalar differential equations with distributed delays appear in the study of the local stability of nonlinear differential equations with feedback, which are common in biolo…
Modelling Erythroblastic Islands: Using a Hybrid Model to Assess the Function of Central Macrophage
Stephan Fischer, Polina Kurbatova, Nikolai Bessonov +3
The production and regulation of red blood cells, erythropoiesis, occurs in the bone marrow where erythroid cells proliferate and differentiate within particular structures, called…
Modelling hematopoiesis mediated by growth factors with applications to periodic hematological diseases
Mostafa Adimy, Fabien Crauste, Shigui Ruan
Hematopoiesis is a complex biological process that leads to the production and regulation of blood cells. It is based upon differentiation of stem cells under the action of growth…
Global Asymptotic Stability and Hopf Bifurcation for a Blood Cell Production Model
Fabien Crauste
We analyze the asymptotic stability of a nonlinear system of two differential equations with delay describing the dynamics of blood cell production. This process takes place in the…