Synchronisation and control of proliferation in cycling cell population models with age structure

DOI10.1016/j.matcom.2012.03.005OpenAlexW2004486211MaRDI QIDQ2229783

Thomas Lepoutre, Stéphane Gaubertt, Frédérique Billy, Thomas Ouillon, Shoko Saito, Jean Clairambaultt, Olivier Fercoq

Publication date: 18 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2012.03.005

zbMATH Keywords

cell population dynamicsmathematical modelsage-structured modelscell division cycledrug delivery optimisation

Mathematics Subject Classification ID

Biology and other natural sciences (92-XX) Partial differential equations (35-XX)

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Uses Software

• PLCP
• SQPlab

Cites Work

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• Circadian rhythm and cell population growth
• The inverse problem of linear age-structured population dynamics.
• Tutorials in mathematical biosciences III. Cell cycle, prolifereation, and cancer.
• An age-and-cyclin-structured cell population model for healthy and tumoral tissues
• General entropy equations for structured population models and scattering
• Analysis of a molecular structured population model with possible polynomial growth for the cell division cycle
• An inequality for the Perron and Floquet eigenvalues of monotone differential systems and age structured equations
• General relative entropy inequality: an illustration on growth models
• Circadian rhythm and tumour growth
• Modelling Physiological and Pharmacological Control on Cell Proliferation to Optimise Cancer Treatments
• Comparison of Perron and Floquet Eigenvalues in Age Structured Cell Division Cycle Models
• Planning Blocked Mitosis Experiments for Efficient Estimation of Population-Doubling Time and Cell-Cycle Time
• Large-Scale Optimization of Eigenvalues
• On the Goldstein-Levitin-Polyak gradient projection method
• Numerical Optimization
• Comparison of Approaches to Modeling of Cell Population Dynamics
• A Survey of Cell Population Dynamics
• On Minimizing the Special Radius of a Nonsymmetric Matrix Function: Optimality Conditions and Duality Theory
• Convex programming in Hilbert space
• Optimisation of time-scheduled regimen for anti-cancer drug infusion
• Numerical optimization. Theoretical and practical aspects. Transl. from the French