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We study a mathematical model of cohabitation of healthy and unhealthy stem cells, in order to address some new biological concerns. In short, we will investigate the existence and the stability properties of a positive steady state of a model that is well adapted to the study of dormancy of cancer stem cells. Mathematically, we are concerned with the analysis of a nonlinear retarded system coupled...
En hématologie biologique, l’examen microscopique des frottis de sang, moelle, ganglion… reste la première étape du diagnostic et du suivi des patients. Dans le but de fournir une aide pratique et adaptée aux biologistes impliqués dans la morphologie cellulaire, le GFHC a mis en place la première solution de télé-expertise en cytologie hématologie : le réseau ANDRAL : http://www.gfhc-reseau-andral...
A new mathematical model that represents the coexistence between normal and leukemic populations of cells is proposed and analyzed. It is composed by a nonlinear time-delay system describing the dynamics of ordinary stem cells, coupled to a differential-difference system governing the dynamics of mutated cells. A Lyapunov-like technique is developed in order to investigate the stability properties...
. Myeloproliferative disorders (MPDs) are clonal haematopoietic malignancies involving the abnormal proliferation of myeloid lineages. The World Health Organisation (WHO) classification of haematopoietic malignancies distinguishes MPDs from myelodysplastic/ myeloproliferative disorders and systemic mastocytosis. These malignancies frequently involve constitutive tyrosine kinase activity, resulting...
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