Estimation for dynamical systems using a population-based Kalman filter -- applications in computational biology

DOI10.5802/msia.25zbMath1498.62160OpenAlexW3036084452MaRDI QIDQ2094857

Annabelle Collin, Mélanie Prague, Philippe Moireau

Publication date: 8 November 2022

Published in: MathematicS In Action (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/msia.25

zbMATH Keywords

pharmacokineticsepidemiologyKalman filtersdata assimilationCOVID-19nonlinear mixed-effect models

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Sequential estimation (62L12) Computational methods for problems pertaining to biology (92-08) Observers (93B53)

Uses Software

• EnKF
• WinBUGS
• NONMEM
• Stan
• runjags
• PSM

Cites Work

• Unnamed Item
• Random-Effects Models for Longitudinal Data
• Coupling the SAEM algorithm and the extended Kalman filter for maximum likelihood estimation in mixed-effects diffusion models
• Maximum likelihood estimation in nonlinear mixed effects models
• Estimation and control of dynamical systems
• A robust nonlinear mixed-effects model for COVID-19 death data
• Reduced-order Unscented Kalman Filtering with application to parameter identification in large-dimensional systems
• An Introduction to The Basic Reproduction Number in Mathematical Epidemiology
• Estimating Data Transformations in Nonlinear Mixed Effects Models
• Data Assimilation
• The Invariant Extended Kalman Filter as a Stable Observer
• Data Assimilation
• A Galerkin strategy with Proper Orthogonal Decomposition for parameter-dependent problems – Analysis, assessments and applications to parameter estimation
• Statistical methods for HIV dynamic studies in AIDS clinical trials

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