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...

पूर्ण विवरण

ग्रंथसूची विवरण
मुख्य लेखक:	Bartmanski, BJ
अन्य लेखक:	Baker, R
स्वरूप:	थीसिस
भाषा:	English
प्रकाशित:	2020
विषय:	mathematical biology mathematics

समान संसाधन

Effects of different discretisations of the Laplacian upon stochastic simulations of reaction-diffusion systems on both static and growing domains
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Stochastic transport models in confined networked environments
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Variance reduction techniques for chemical reaction network simulation
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Spatiotemporal behaviour of stochastic and continuum models for biological signalling on stationary and growing domains
द्वारा: Woolley, T, और अन्य
प्रकाशित: (2012)

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

Data for Paper "Fixed and Distributed Gene Expression Time Delays in Reaction-Diffusion Systems"
द्वारा: Sargood, A, और अन्य
प्रकाशित: (2022)

Algebraic methods for chemical reaction networks with extrinsic noise
द्वारा: Adamer, MF
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Stochastic modelling and simulation in cell biology
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प्रकाशित: (2014)

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

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

Simulations and modelling of bacterial flagellar propulsion
द्वारा: Shum, H
प्रकाशित: (2011)

Efficient simulation techniques for biochemical reaction networks
द्वारा: Lester, C
प्रकाशित: (2017)

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

Aspects of modelling solid tumours
द्वारा: Schofield, J
प्रकाशित: (2010)

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

Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method
द्वारा: Chowdhury, Md. Sazzad Hossien, और अन्य
प्रकाशित: (2010)

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

Finite element simulation of a poroelastic model of the CSF system in the human brain during an infusion test
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Stochastic modelling of membrane filtration
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प्रकाशित: (2017)

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

Performance of stochastic Runge-Kutta Methods in approximating the solution of stochastic model in biological system
द्वारा: Noor Amalina Nisa, Ariffin, और अन्य
प्रकाशित: (2017)

Compression methods for approximate stochastic modelling
द्वारा: Onggadinata, Kelvin
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Characterisation of macrophage infiltration into solid tumours via image analysis and computational modelling
द्वारा: Bull, J
प्रकाशित: (2018)

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

An exact bifurcation diagram for a reaction–diffusion equation arising in population dynamics
द्वारा: Jerome Goddard II, और अन्य
प्रकाशित: (2018-11-01)

Stochastic Taylor Methods for Stochastic Delay Differential Equations
द्वारा: Norhayati, Rosli, और अन्य
प्रकाशित: (2013)

Derivation of stochastic Taylor methods for stochastic differential equations
द्वारा: Noor Amalina Nisa, Ariffin, और अन्य
प्रकाशित: (2017)

Evolvability: a formal approach
द्वारा: Gallagher, A
प्रकाशित: (2009)

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

Modelling species invasions in heterogeneous landscapes
द्वारा: Gilbert, M
प्रकाशित: (2016)

Challenges in modelling and control of biological systems
द्वारा: Liu, Y
प्रकाशित: (2024)

A global method for fast simulations of molecular dynamics in multiscale agent-based models of biological tissues
द्वारा: Daniel Bergman, और अन्य
प्रकाशित: (2022-06-01)

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

Efficient hermite spectral-galerkin methods for nonlocal diffusion equations in unbounded domains
द्वारा: Li, Huiyuan, और अन्य
प्रकाशित: (2023)

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

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

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

Efficient Methods to Calculate Partial Sphere Surface Areas for a Higher Resolution Finite Volume Method for Diffusion-Reaction Systems in Biological Modeling
द्वारा: Abigail Bowers, और अन्य
प्रकाशित: (2019-12-01)

A method for the inference of cytokine interaction networks -- Data
द्वारा: Jansen, J E, और अन्य
प्रकाशित: (2022)

Numerical Solution of Nonlinear Reaction–Advection–Diffusion Equation
द्वारा: Singh, Anup, और अन्य
प्रकाशित: (2019)