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...

Cur síos iomlán

Sonraí bibleagrafaíochta
Príomhchruthaitheoir:	Bartmanski, BJ
Rannpháirtithe:	Baker, R
Formáid:	Tráchtas
Teanga:	English
Foilsithe / Cruthaithe:	2020
Ábhair:	mathematical biology mathematics

Míreanna comhchosúla

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

Stochastic transport models in confined networked environments
de réir: Wilson, D
Foilsithe / Cruthaithe: (2019)

Variance reduction techniques for chemical reaction network simulation
de réir: Beentjes, C
Foilsithe / Cruthaithe: (2020)

Spatiotemporal behaviour of stochastic and continuum models for biological signalling on stationary and growing domains
de réir: Woolley, T, et al.
Foilsithe / Cruthaithe: (2012)

Comparing stochastic discrete and deterministic continuum models of cell migration
de réir: Yates, C
Foilsithe / Cruthaithe: (2011)

Data for Paper "Fixed and Distributed Gene Expression Time Delays in Reaction-Diffusion Systems"
de réir: Sargood, A, et al.
Foilsithe / Cruthaithe: (2022)

Algebraic methods for chemical reaction networks with extrinsic noise
de réir: Adamer, MF
Foilsithe / Cruthaithe: (2019)

Stochastic modelling and simulation in cell biology
de réir: Szekely, T, et al.
Foilsithe / Cruthaithe: (2014)

A fictitious domain approach for hybrid simulations of eukaryotic chemotaxis
de réir: Seguis, J
Foilsithe / Cruthaithe: (2013)

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

Simulations and modelling of bacterial flagellar propulsion
de réir: Shum, H
Foilsithe / Cruthaithe: (2011)

Efficient simulation techniques for biochemical reaction networks
de réir: Lester, C
Foilsithe / Cruthaithe: (2017)

Mathematical modelling and computational simulation studies of flagellate motility
de réir: Walker, BJ
Foilsithe / Cruthaithe: (2021)

Aspects of modelling solid tumours
de réir: Schofield, J
Foilsithe / Cruthaithe: (2010)

Excluded-volume effects in stochastic models of diffusion
de réir: Bruna, M
Foilsithe / Cruthaithe: (2012)

Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method
de réir: Chowdhury, Md. Sazzad Hossien, et al.
Foilsithe / Cruthaithe: (2010)

Techniques for stochastic spatial sensing in biology: from immunology to anthropology
de réir: Solís Salas, C
Foilsithe / Cruthaithe: (2020)

Finite element simulation of a poroelastic model of the CSF system in the human brain during an infusion test
de réir: Eisenträger, A, et al.
Foilsithe / Cruthaithe: (2012)

Stochastic modelling of membrane filtration
de réir: Griffiths, I, et al.
Foilsithe / Cruthaithe: (2017)

Efficient mapped spectral methods for unbounded and exterior domains
de réir: Batubara, Johan
Foilsithe / Cruthaithe: (2008)

Performance of stochastic Runge-Kutta Methods in approximating the solution of stochastic model in biological system
de réir: Noor Amalina Nisa, Ariffin, et al.
Foilsithe / Cruthaithe: (2017)

Compression methods for approximate stochastic modelling
de réir: Onggadinata, Kelvin
Foilsithe / Cruthaithe: (2020)

Characterisation of macrophage infiltration into solid tumours via image analysis and computational modelling
de réir: Bull, J
Foilsithe / Cruthaithe: (2018)

Probabilistic methods in combinatorial and stochastic optimization
de réir: Vondrák, Jan, 1974-
Foilsithe / Cruthaithe: (2005)

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

Stochastic Taylor Methods for Stochastic Delay Differential Equations
de réir: Norhayati, Rosli, et al.
Foilsithe / Cruthaithe: (2013)

Derivation of stochastic Taylor methods for stochastic differential equations
de réir: Noor Amalina Nisa, Ariffin, et al.
Foilsithe / Cruthaithe: (2017)

Evolvability: a formal approach
de réir: Gallagher, A
Foilsithe / Cruthaithe: (2009)

Dynamics and control of infectious disease epidemics: compartmental modelling of variations in infectiousness and symptoms during infection
de réir: Hart, W
Foilsithe / Cruthaithe: (2022)

Modelling species invasions in heterogeneous landscapes
de réir: Gilbert, M
Foilsithe / Cruthaithe: (2016)

Challenges in modelling and control of biological systems
de réir: Liu, Y
Foilsithe / Cruthaithe: (2024)

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

On two-phase flow models for cell motility
de réir: Kimpton, LS
Foilsithe / Cruthaithe: (2013)

Efficient hermite spectral-galerkin methods for nonlocal diffusion equations in unbounded domains
de réir: Li, Huiyuan, et al.
Foilsithe / Cruthaithe: (2023)

Stochastic Runge-Kutta method for stochastic delay differential equations
de réir: Norhayati, Rosli
Foilsithe / Cruthaithe: (2012)

A mathematical and computational framework for modelling epithelial cell morphodynamics
de réir: Cooper, F
Foilsithe / Cruthaithe: (2018)

Mathematical modelling of flow and nutrient transport in hollow fibre membrane bioreactors
de réir: Booth, G
Foilsithe / Cruthaithe: (2023)

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

A method for the inference of cytokine interaction networks -- Data
de réir: Jansen, J E, et al.
Foilsithe / Cruthaithe: (2022)

Numerical Solution of Nonlinear Reaction–Advection–Diffusion Equation
de réir: Singh, Anup, et al.
Foilsithe / Cruthaithe: (2019)