95 citations · 365 across the 7 of their papers we have counts for
7 papers
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…
Stability of limit cycles in a pluripotent stem cell dynamics model
Mostafa Adimy, Fabien Crauste, Andrei Halanay +2
This paper is devoted to the study of the stability of limit cycles of a nonlinear delay differential equation with a distributed delay. The equation arises from a model of populat…
A mathematical study of the hematopoiesis process with applications to chronic myelogenous leukemia
Mostafa Adimy, Fabien Crauste, Shigui Ruan
This paper is devoted to the analysis of a mathematical model of blood cells production in the bone marrow (hematopoiesis). The model is a system of two age-structured partial diff…
On the stability of a maturity structured model of cellular proliferation
Mostafa Adimy, Fabien Crauste, Laurent Pujo-Menjouet
We analyse the asymptotic behaviour of a nonlinear mathematical model of cellular proliferation which describes the production of blood cells in the bone marrow. This model takes t…
Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics
Mostafa Adimy, Fabien Crauste, Shigui Ruan
We study a mathematical model describing the dynamics of a pluripotent stem cell population involved in the blood production process in the bone marrow. This model is a differentia…
Existence, positivity and stability for a nonlinear model of cellular proliferation
Mostafa Adimy, Fabien Crauste
In this paper, we investigate a system of two nonlinear partial differential equations, arising from a model of cellular proliferation which describes the production of blood cells…