Theoretical advances in the modelling and interrogation of biochemical reaction systems: alternative formulations of the chemical Langevin equation and optimal experiment design for model discrimination

Theoretical advances in the modelling and interrogation of biochemical reaction systems: alternative formulations of the chemical Langevin equation and optimal experiment design for model discrimination

<p>This thesis is concerned with methodologies for the accurate quantitative modelling of molecular biological systems. The first part is devoted to the chemical Langevin equation (CLE), a stochastic differential equation driven by a multidimensional Wiener process. The CLE is an approximation...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awdur:	Mélykúti, B
Awduron Eraill:	Etheridge, A
Fformat:	Traethawd Ymchwil
Iaith:	English
Cyhoeddwyd:	2010
Pynciau:	Biology and other natural sciences (mathematics) Probability theory and stochastic processes Control engineering Ordinary differential equations Numerical analysis Chemical kinetics Dynamical systems and ergodic theory (mathematics)

Eitemau Tebyg

A composite scheme for solving a differential equation driven by a system of time-varying vector fields
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Models for adaptive feeding and population dynamics in plankton
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Spatiotemporal behaviour of stochastic and continuum models for biological signalling on stationary and growing domains
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Recent modelling frameworks for systems of interacting particles
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Cyhoeddwyd: (2014)

Topics on backward stochastic differential equations. Theoretical and practical aspects
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Mathematical models of cranial neural crest cell migration
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Mathematics calender 1979
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Introduction to ergodic theory /
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Effective design of marine reserves: incorporating alongshore currents, size structure, and uncertainty
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Non-asymptotic bounds for modified tamed unadjusted Langevin algorithm in non-convex setting
gan: Ng, Matthew Cheng En
Cyhoeddwyd: (2022)

Price modelling and asset valuation in carbon emission and electricity markets
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Contributions to ergodic theory and probility
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Mathematical modelling and analysis of aspects of bacterial motility.
gan: Rosser, G, et al.
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Particle systems and SPDEs with application to credit modelling
gan: Jin, L
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Eigenvalues, inequalities, and ergodic theory /
gan: 461037 Chen, Mu-Fa
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Inverting the signature of a path
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Random finite sets for multitarget tracking with applications
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A functional form for a particular coefficient of ergodicity/
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Cyhoeddwyd: (1981)

A functional approach to backward stochastic dynamics
gan: Liang, G
Cyhoeddwyd: (2010)

Two variable and linear temporal logic in model checking and games
gan: Lenhardt, R
Cyhoeddwyd: (2013)

On portfolio optimisation under drawdown and floor type constraints
gan: Chernyy, V
Cyhoeddwyd: (2012)

Problems in random walks in random environments
gan: Buckley, SP
Cyhoeddwyd: (2011)

Computational ergodic theory /
gan: 428113 Choe, Geon Ho
Cyhoeddwyd: (2005)

Computational methods for the estimation of cardiac electrophysiological conduction parameters in a patient specific setting
gan: Wallman, K
Cyhoeddwyd: (2013)

Order book models, signatures and numerical approximations of rough differential equations
gan: Janssen, A
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Markov Chains and Kinetic Theory: A Possible Application to Socio-Economic Problems
gan: Bruno Carbonaro, et al.
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The computation of Greeks with multilevel Monte Carlo
gan: Burgos, S
Cyhoeddwyd: (2014)

Mathematical modelling of oncolytic virotherapy
gan: Shabala, A
Cyhoeddwyd: (2013)

Partly exchangeable fragmentations
gan: Chen, B
Cyhoeddwyd: (2009)

Selection in a spatially structured population
gan: Straulino, D
Cyhoeddwyd: (2014)

Stochastic partial differential equations applied to hydrocarbon reservoir modelling
gan: Aziz, M
Cyhoeddwyd: (2010)

Geometric and probabilistic aspects of groups with hyperbolic features
gan: Sisto, A
Cyhoeddwyd: (2013)

Asymmetric particle systems and last-passage percolation in one and two dimensions
gan: Schmidt, P
Cyhoeddwyd: (2012)

Prediction of homing pigeon flight paths using Gaussian processes
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Cyhoeddwyd: (2010)

Growth of Galton-Watson trees with lifetimes, immigrations and mutations
gan: Cao, X
Cyhoeddwyd: (2011)

Pricing exotic options using improved strong convergence
gan: Schmitz Abe, K
Cyhoeddwyd: (2008)

Tent-maps, two-point sets, and the self-Tietze property
gan: Davies, G
Cyhoeddwyd: (2011)

Mathematical evolutionary epidemiology: limited epitopes, evolution of strain structures and age-specificity
gan: Cherif, A
Cyhoeddwyd: (2015)

Stochastic population oscillators in ecology and neuroscience
gan: Lai, YM
Cyhoeddwyd: (2012)

On the labelling of polyhedral dice
gan: Irving, A, et al.
Cyhoeddwyd: (2014)