Efficient methods for simulating stochastic reaction-diffusion models on evolving domains

Efficient methods for simulating stochastic reaction-diffusion models on evolving domains

<p>Mathematical modelling of complex biological phenomena allows us to under- stand the contributions of different processes to observed behaviours. Many of these phenomena involve the reaction and diffusion of biomolecules and so we use so-called reaction-diffusion models to describe them mat...

Fuld beskrivelse

Bibliografiske detaljer
Hovedforfatter:	Bartmanski, BJ
Andre forfattere:	Baker, R
Format:	Thesis
Sprog:	English
Udgivet:	2020
Fag:	mathematical biology mathematics

Lignende værker

Effects of different discretisations of the Laplacian upon stochastic simulations of reaction-diffusion systems on both static and growing domains
af: Bartmanski, BJ, et al.
Udgivet: (2021)

Stochastic transport models in confined networked environments
af: Wilson, D
Udgivet: (2019)

Variance reduction techniques for chemical reaction network simulation
af: Beentjes, C
Udgivet: (2020)

Spatiotemporal behaviour of stochastic and continuum models for biological signalling on stationary and growing domains
af: Woolley, T, et al.
Udgivet: (2012)

Comparing stochastic discrete and deterministic continuum models of cell migration
af: Yates, C
Udgivet: (2011)

Data for Paper "Fixed and Distributed Gene Expression Time Delays in Reaction-Diffusion Systems"
af: Sargood, A, et al.
Udgivet: (2022)

Algebraic methods for chemical reaction networks with extrinsic noise
af: Adamer, MF
Udgivet: (2019)

Stochastic modelling and simulation in cell biology
af: Szekely, T, et al.
Udgivet: (2014)

A fictitious domain approach for hybrid simulations of eukaryotic chemotaxis
af: Seguis, J
Udgivet: (2013)

A strong maximum principle for reaction-diffusion systems and a weak convergence scheme for reflected stochastic differential equations by Lawrence Christopher Evans.
af: Evans, Lawrence C., 1949-
Udgivet: (2010)

Simulations and modelling of bacterial flagellar propulsion
af: Shum, H
Udgivet: (2011)

Efficient simulation techniques for biochemical reaction networks
af: Lester, C
Udgivet: (2017)

Mathematical modelling and computational simulation studies of flagellate motility
af: Walker, BJ
Udgivet: (2021)

Aspects of modelling solid tumours
af: Schofield, J
Udgivet: (2010)

Excluded-volume effects in stochastic models of diffusion
af: Bruna, M
Udgivet: (2012)

Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method
af: Chowdhury, Md. Sazzad Hossien, et al.
Udgivet: (2010)

Techniques for stochastic spatial sensing in biology: from immunology to anthropology
af: Solís Salas, C
Udgivet: (2020)

Finite element simulation of a poroelastic model of the CSF system in the human brain during an infusion test
af: Eisenträger, A, et al.
Udgivet: (2012)

Stochastic modelling of membrane filtration
af: Griffiths, I, et al.
Udgivet: (2017)

Efficient mapped spectral methods for unbounded and exterior domains
af: Batubara, Johan
Udgivet: (2008)

Performance of stochastic Runge-Kutta Methods in approximating the solution of stochastic model in biological system
af: Noor Amalina Nisa, Ariffin, et al.
Udgivet: (2017)

Compression methods for approximate stochastic modelling
af: Onggadinata, Kelvin
Udgivet: (2020)

Characterisation of macrophage infiltration into solid tumours via image analysis and computational modelling
af: Bull, J
Udgivet: (2018)

Probabilistic methods in combinatorial and stochastic optimization
af: Vondrák, Jan, 1974-
Udgivet: (2005)

An exact bifurcation diagram for a reaction–diffusion equation arising in population dynamics
af: Jerome Goddard II, et al.
Udgivet: (2018-11-01)

Stochastic Taylor Methods for Stochastic Delay Differential Equations
af: Norhayati, Rosli, et al.
Udgivet: (2013)

Derivation of stochastic Taylor methods for stochastic differential equations
af: Noor Amalina Nisa, Ariffin, et al.
Udgivet: (2017)

Evolvability: a formal approach
af: Gallagher, A
Udgivet: (2009)

Dynamics and control of infectious disease epidemics: compartmental modelling of variations in infectiousness and symptoms during infection
af: Hart, W
Udgivet: (2022)

Modelling species invasions in heterogeneous landscapes
af: Gilbert, M
Udgivet: (2016)

Challenges in modelling and control of biological systems
af: Liu, Y
Udgivet: (2024)

A global method for fast simulations of molecular dynamics in multiscale agent-based models of biological tissues
af: Daniel Bergman, et al.
Udgivet: (2022-06-01)

On two-phase flow models for cell motility
af: Kimpton, LS
Udgivet: (2013)

Efficient hermite spectral-galerkin methods for nonlocal diffusion equations in unbounded domains
af: Li, Huiyuan, et al.
Udgivet: (2023)

Stochastic Runge-Kutta method for stochastic delay differential equations
af: Norhayati, Rosli
Udgivet: (2012)

A mathematical and computational framework for modelling epithelial cell morphodynamics
af: Cooper, F
Udgivet: (2018)

Mathematical modelling of flow and nutrient transport in hollow fibre membrane bioreactors
af: Booth, G
Udgivet: (2023)

Efficient Methods to Calculate Partial Sphere Surface Areas for a Higher Resolution Finite Volume Method for Diffusion-Reaction Systems in Biological Modeling
af: Abigail Bowers, et al.
Udgivet: (2019-12-01)

A method for the inference of cytokine interaction networks -- Data
af: Jansen, J E, et al.
Udgivet: (2022)

Numerical Solution of Nonlinear Reaction–Advection–Diffusion Equation
af: Singh, Anup, et al.
Udgivet: (2019)