On the stability of a nonlinear maturity structured model of cellular proliferation
暂无分享,去创建一个
Laurent Pujo-Menjouet | Fabien Crauste | Mostafa Adimy | F. Crauste | L. Pujo-Menjouet | M. Adimy | Laurent Pujo-Menjouet
[1] L Sachs. The molecular control of hemopoiesis and leukemia. , 1993, Comptes rendus de l'Academie des sciences. Serie III, Sciences de la vie.
[2] Michael C. Mackey,et al. Propagating fronts, chaos and multistability in a cell replication model. , 1996, Chaos.
[3] M C Mackey,et al. Global stability in a delayed partial differential equation describing cellular replication , 1994, Journal of mathematical biology.
[4] M C Mackey,et al. Unified hypothesis for the origin of aplastic anemia and periodic hematopoiesis. , 1978, Blood.
[5] B. Williams,et al. Quiescence, cycling, and turnover in the primitive hematopoietic stem cell compartment. , 1997, Experimental hematology.
[6] MULTISTABILITY AND BOUNDARY LAYER DEVELOPMENT IN A TRANSPORT EQUATION WITH DELAYED ARGUMENTS , 2005 .
[7] Laurent Pujo-Menjouet,et al. A mathematical model describing cellular division with a proliferating phase duration depending on the maturity of cells. , 2003 .
[8] R. Nagel,et al. One-parameter semigroups for linear evolution equations , 1999 .
[9] Glenn F. Webb,et al. A nonlinear age and maturity structured model of population dynamics. I. Basic theory , 2000 .
[10] Laurent Pujo-Menjouet,et al. A singular transport model describing cellular division , 2001 .
[11] Fabien Crauste,et al. Global stability of a partial differential equation with distributed delay due to cellular replication , 2003, 0904.2472.
[12] Laurent Pujo-Menjouet,et al. Asymptotic behavior of a singular transport equation modelling cell division , 2003 .
[13] Michael C. Mackey,et al. Unified hypothesis for the origin of aplastic anemia and periodic hematopoiesis , 1978 .
[14] Propagation of population pulses and fronts in a cell replication problem: Non-locality and dependence on the initial function , 1995 .
[15] Michael C. Mackey,et al. A new criterion for the global stability of simultaneous cell replication and maturation processes , 1999 .
[16] Fabien Crauste,et al. Existence, positivity and stability for a nonlinear model of cellular proliferation , 2005, 0904.2473.
[17] M. Mackey,et al. Sufficient conditions for stability of linear differential equations with distributed delay , 2001 .
[18] I. Tannock,et al. ON THE EXISTENCE OF A Go‐PHASE IN THE CELL CYCLE , 1970 .
[19] I. Tannock,et al. On the existence of a G 0 -phase in the cell cycle. , 1970, Cell and tissue kinetics.
[20] Richard Bellman,et al. Differential-Difference Equations , 1967 .
[21] Dependence on initial conditions in nonlocal PDE's and hereditary dynamical systems , 1995 .
[22] GLENN F. WEBB,et al. A SINGULAR TRANSPORT EQUATION MODELLING A PROLIFERATING MATURITY STRUCTURED CELL POPULATION , 2005 .
[23] Andrew W. Murray,et al. The Cell Cycle , 1989 .
[24] Cliburn Chan,et al. T cell sensitivity and specificity - kinetic proofreading revisited , 2003 .
[25] Glenn F. Webb,et al. A Nonlinear Age and Maturity Structured Model of Population Dynamics: II. Chaos , 2000 .
[26] Transitions and kinematics of reaction-convection fronts in a cell population model , 1995 .
[27] V. Hu. The Cell Cycle , 1994, GWUMC Department of Biochemistry Annual Spring Symposia.