A structured erythropoiesis model with nonlinear cell maturation velocity and hormone decay rate

DOI10.1016/j.mbs.2006.08.004zbMath1104.92012OpenAlexW2068019459WikidataQ50719713 ScholiaQ50719713MaRDI QIDQ868194

Keng Deng, Kazufumi Ito, Azmy S. Ackleh, Jeremy J. Thibodeaux

Publication date: 19 February 2007

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2006.08.004

zbMATH Keywords

finite difference approximationerythropoiesisstructured modelexistence-uniquenessbehavior of solutions

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Physiology (general) (92C30) Cell biology (92C37) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (18)

Optimal treatment strategies for malaria infection ⋮ Numerical integration of an erythropoiesis model with explicit growth factor dynamics ⋮ Stochastic modeling of stress erythropoiesis using a two-type age-dependent branching process with immigration ⋮ A model of erythropoiesis in adults with sufficient iron availability ⋮ Blood Cell Dynamics: Half of a Century of Modelling ⋮ A second-order high resolution finite difference scheme for a structured erythropoiesis model subject to malaria infection ⋮ Mathematical study of feedback control roles and relevance in stress erythropoiesis ⋮ Study on the efficiency in the numerical integration of size-structured population models: error and computational cost ⋮ A generalized within-host model of dengue infection with a non-constant monocyte production rate ⋮ Investigating the role of the experimental protocol in phenylhydrazine-induced anemia on mice recovery ⋮ Modeling erythropoiesis subject to malaria infection ⋮ Modeling erythroblastic islands: using a hybrid model to assess the function of central macrophage ⋮ Adding self-renewal in committed erythroid progenitors improves the biological relevance of a mathematical model of erythropoiesis ⋮ The role of spatial organization of cells in erythropoiesis ⋮ A structured model for the spread of \textit{Mycobacterium marinum}: foundations for a numerical approximation scheme ⋮ Structured mathematical models to investigate the interactions between Plasmodium falciparum malaria parasites and host immune response ⋮ Hybrid Models in Erythropoiesis and in Megakaryopoiesis ⋮ A second-order finite difference approximation for a mathematical model of erythropoiesis

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mathematical physiology
• A new criterion for the global stability of simultaneous cell replication and maturation processes
• Global stability in a delayed partial differential equation describing cellular replication
• A model of physiologically structured population dynamics with a nonlinear individual growth rate
• Global stability of a partial differential equation with distributed delay due to cellular replication
• Existence-uniqueness and monotone approximation for an erythropoiesis age-structured model.
• A monotone approximation for a nonlinear nonautonomous size-structured population model
• A finite difference approximation for a coupled system of nonlinear size-structured populations
• On the stability of a nonlinear maturity structured model of cellular proliferation
• Modeling and optimal regulation of erythropoiesis subject to Benzene intoxication
• Age-structured and two-delay models for erythropoiesis
• Cost-effective G-CSF therapy strategies for cyclical neutropenia: mathematical modelling based hypotheses
• A mathematical model of hematopoiesis. I: Periodic chronic myelogenous leukemia
• Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics
• Relaxation Oscillations in a Class of Delay Differential Equations
• Monotone Difference Approximations for Scalar Conservation Laws
• An implicit finite difference scheme for the nonlinear size-structured population model
• Monotone method for first order nonlocal hyperbolic initial-boundary value problems
• A Mathematical Study of the Hematopoiesis Process with Applications to Chronic Myelogenous Leukemia
• Long Period Oscillations in aG₀Model of Hematopoietic Stem Cells

This page was built for publication: A structured erythropoiesis model with nonlinear cell maturation velocity and hormone decay rate