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...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awdur:	Bartmanski, BJ
Awduron Eraill:	Baker, R
Fformat:	Traethawd Ymchwil
Iaith:	English
Cyhoeddwyd:	2020
Pynciau:	mathematical biology mathematics

Eitemau Tebyg

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

Stochastic transport models in confined networked environments
gan: Wilson, D
Cyhoeddwyd: (2019)

Variance reduction techniques for chemical reaction network simulation
gan: Beentjes, C
Cyhoeddwyd: (2020)

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

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

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

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

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

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

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

Simulations and modelling of bacterial flagellar propulsion
gan: Shum, H
Cyhoeddwyd: (2011)

Efficient simulation techniques for biochemical reaction networks
gan: Lester, C
Cyhoeddwyd: (2017)

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

Aspects of modelling solid tumours
gan: Schofield, J
Cyhoeddwyd: (2010)

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

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

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

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

Stochastic modelling of membrane filtration
gan: Griffiths, I, et al.
Cyhoeddwyd: (2017)

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

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

Compression methods for approximate stochastic modelling
gan: Onggadinata, Kelvin
Cyhoeddwyd: (2020)

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

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

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

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

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

Evolvability: a formal approach
gan: Gallagher, A
Cyhoeddwyd: (2009)

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

Modelling species invasions in heterogeneous landscapes
gan: Gilbert, M
Cyhoeddwyd: (2016)

Challenges in modelling and control of biological systems
gan: Liu, Y
Cyhoeddwyd: (2024)

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

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

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

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

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

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

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

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

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