Numerical integration of an erythropoiesis model with explicit growth factor dynamics

DOI10.1016/j.cam.2017.01.033zbMath1373.92017OpenAlexW2589059860MaRDI QIDQ1676009

Juan C. López-Marcos, Óscar Angulo, Fabien Crauste

Publication date: 3 November 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-01646786/file/Angulo-LopezMarcos-Crauste-JCAM-2017.pdf

zbMATH Keywords

numerical schemelong-time integrationerythropoiesis modelnonlinear age-structured system

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Cell biology (92C37)

Related Items (2)

Mathematical modeling and computational methods ⋮ Investigating the role of the experimental protocol in phenylhydrazine-induced anemia on mice recovery

Cites Work

• Unnamed Item
• Numerical analysis of a population model of marine invertebrates with different life stages
• Numerical approximation of singular asymptotic states for a size-structured population model with a dynamical resource
• Modelling hematopoiesis mediated by growth factors with applications to periodic hematological diseases
• A structured erythropoiesis model with nonlinear cell maturation velocity and hormone decay rate
• Parameter estimation in a structured erythropoiesis model
• Numerical integration of a mathematical model of hematopoietic stem cell dynamics
• A numerical method for nonlinear age-structured population models with finite maximum age
• Mathematical study of feedback control roles and relevance in stress erythropoiesis
• On the stability of a nonlinear maturity structured model of cellular proliferation
• Adding self-renewal in committed erythroid progenitors improves the biological relevance of a mathematical model of erythropoiesis
• Age-structured and two-delay models for erythropoiesis
• Mass structured systems with boundary delay: oscillations and the effect of selective predation
• A mathematical model of hematopoiesis. I: Periodic chronic myelogenous leukemia
• A mathematical model of hematopoiesis. II: Cyclical neutropenia
• A semi-Lagrangian method for a cell population model in a dynamical environment
• A numerical integrator for a model with a discontinuous sink term: the dynamics of the sexual phase of monogonont rotifera
• A Mathematical Study of the Hematopoiesis Process with Applications to Chronic Myelogenous Leukemia
• Long Period Oscillations in aG₀Model of Hematopoietic Stem Cells
• On the approximation of the Lotka-McKendrick equation with finite life-span

This page was built for publication: Numerical integration of an erythropoiesis model with explicit growth factor dynamics