Bayesian Parameter Identification for Turing Systems on Stationary and Evolving Domains

Fast solvers for optimal control problems from pattern formation

(2016) Martin Stoll et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Turing pattern formation in anisotropic medium

(2016) Debojyoti Das   JOURNAL OF MATHEMATICAL CHEMISTRY

Model inversion via multi-fidelity Bayesian optimization: a new paradigm for parameter estimation in haemodynamics, and beyond

(2016) Paris Perdikaris et al.   Journal of the Royal Society Interface

Effects of correlated parameters and uncertainty in electronic-structure-based chemical kinetic modelling

(2016) Jonathan E. Sutton et al.   Nature Chemistry

Variational Bayesian Matrix Factorization for Bounded Support Data

(2015) Zhanyu Ma et al.   IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE

Whole cell tracking through the optimal control of geometric evolution laws

(2015) Konstantinos N. Blazakis et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Influence of oscillatory centrifugal forces on the mechanism of Turing pattern formation

(2015) Jacobo Guiu-Souto et al.   PHYSICAL REVIEW E

Keratin Dynamics: Modeling the Interplay between Turnover and Transport

(2015) Stéphanie Portet et al.   PLoS One

Well-posed Bayesian geometric inverse problems arising in subsurface flow

(2014) Marco A Iglesias et al.   INVERSE PROBLEMS

Parameter identification problems in the modelling of cell motility

(2014) Wayne Croft et al.   JOURNAL OF MATHEMATICAL BIOLOGY

A general construction for parallelizing Metropolis−Hastings algorithms

(2014) Ben Calderhead   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Identification of Space-Time Distributed Parameters in the Gierer--Meinhardt Reaction-Diffusion System

(2014) Marcus R. Garvie et al.   SIAM JOURNAL ON APPLIED MATHEMATICS

Parameter Estimation of Partial Differential Equation Models

(2013) Xiaolei Xun et al.   JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION

Implicit--Explicit Timestepping with Finite Element Approximation of Reaction--Diffusion Systems on Evolving Domains

(2013) Omar Lakkis et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

MCMC Methods for Functions: Modifying Old Algorithms to Make Them Faster

(2013) S. L. Cotter et al.   STATISTICAL SCIENCE

Variational Learning for Finite Dirichlet Mixture Models and Applications

(2012) Wentao Fan et al.   IEEE Transactions on Neural Networks and Learning Systems

Bayesian Estimation of Beta Mixture Models with Variational Inference

(2011) Zhanyu Ma et al.   IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE

Global existence for semilinear reaction–diffusion systems on evolving domains

(2011) Chandrasekhar Venkataraman et al.   JOURNAL OF MATHEMATICAL BIOLOGY

An efficient and robust numerical algorithm for estimating parameters in Turing systems

(2010) Marcus R. Garvie et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Inverse problems: A Bayesian perspective

(2010) A. M. Stuart   ACTA NUMERICA

Systems biology: parameter estimation for biochemical models

(2009) Maksat Ashyraliyev et al.   FEBS Journal

Analysis of stability and convergence of finite-difference methods for a reaction-diffusion problem on a one-dimensional growing domain

(2009) J. A. Mackenzie et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

Stability analysis of non-autonomous reaction-diffusion systems: the effects of growing domains

(2009) Anotida Madzvamuse et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Parameter estimation and determinability analysis applied to Drosophila gap gene circuits

(2008) Maksat Ashyraliyev et al.   BMC Systems Biology

Approximate Bayesian computation scheme for parameter inference and model selection in dynamical systems

(2008) T. Toni et al.   Journal of the Royal Society Interface