Reliable and efficient parameter estimation using approximate continuum limit descriptions of stochastic models

Autor: Simpson, MJ, Baker, RE, Buenzli, PR, Nicholson, R, Maclaren, OJ

Stochastic individual-based mathematical models are attractive for modelling biological phenomena because they naturally capture the stochasticity and variability that is often evident in biological data. Such models also allow us to track the motion

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6d6568fa5bee49c6f6e2b7828afad874
https://doi.org/10.1101/2022.02.02.478913

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How osteons form: A quantitative hypothesis-testing analysis of cortical pore filling and wall asymmetry.

Autor: Hegarty-Cremer SGD; School of Mathematical Sciences, Queensland University of Technology (QUT), Brisbane, Australia; Department of Mathematics and Statistics, The University of Montreal, Montreal, Canada., Borggaard XG; Clinical Cell Biology, Pathology Research Unit, Dept. of Clinical Research, and Dept. of Molecular Medicine, University of Southern Denmark, Odense, Denmark; Dept. of Pathology, Odense University Hospital, Odense, Denmark., Andreasen CM; Clinical Cell Biology, Pathology Research Unit, Dept. of Clinical Research, and Dept. of Molecular Medicine, University of Southern Denmark, Odense, Denmark; Dept. of Pathology, Odense University Hospital, Odense, Denmark., van der Eerden BCJ; Dept. of Internal Medicine, Erasmus MC, Rotterdam, the Netherlands., Simpson MJ; School of Mathematical Sciences, Queensland University of Technology (QUT), Brisbane, Australia., Andersen TL; Clinical Cell Biology, Pathology Research Unit, Dept. of Clinical Research, and Dept. of Molecular Medicine, University of Southern Denmark, Odense, Denmark; Dept. of Pathology, Odense University Hospital, Odense, Denmark; Dept. of Forensic Medicine, Aarhus University, Aarhus, Denmark., Buenzli PR; School of Mathematical Sciences, Queensland University of Technology (QUT), Brisbane, Australia. Electronic address: pascal.buenzli@qut.edu.au.

Publikováno v: Bone [Bone] 2024 Mar; Vol. 180, pp. 116998. Date of Electronic Publication: 2024 Jan 04.

Interpreting how nonlinear diffusion affects the fate of bistable populations using a discrete modelling framework.

Autor: Li Y; School of Mathematical Sciences, Queensland University of Technology, Brisbane, QLD 4001, Australia., Buenzli PR; School of Mathematical Sciences, Queensland University of Technology, Brisbane, QLD 4001, Australia., Simpson MJ; School of Mathematical Sciences, Queensland University of Technology, Brisbane, QLD 4001, Australia.

Publikováno v: Proceedings. Mathematical, physical, and engineering sciences [Proc Math Phys Eng Sci] 2022 Jun; Vol. 478 (2262), pp. 20220013. Date of Electronic Publication: 2022 Jun 01.