A Bayesian Approach to Modeling Biological Pattern Formation with Limited Data

Instability of all regular stationary solutions to reaction-diffusion-ODE systems

(2022) Szymon Cygan et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Bespoke Turing Systems

(2021) Thomas E. Woolley et al.   BULLETIN OF MATHEMATICAL BIOLOGY

Beyond Turing: far-from-equilibrium patterns and mechano-chemical feedback

(2021) Frits Veerman et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Two different approaches for parameter identification in a spatial–temporal rumor propagation model based on Turing patterns

(2021) Linhe Zhu et al.   Communications in Nonlinear Science and Numerical Simulation

Statistical approach for parameter identification by Turing patterns

(2020) Alexey Kazarnikov et al.   JOURNAL OF THEORETICAL BIOLOGY

Wolpert's French Flag: what's the problem?

(2019) James Sharpe   DEVELOPMENT

Rethinking pattern formation in reaction–diffusion systems

(2018) J. Halatek et al.   Nature Physics

Parallel Local Approximation MCMC for Expensive Models

(2018) Patrick R. Conrad et al.   SIAM-ASA Journal on Uncertainty Quantification

Bayesian Parameter Identification for Turing Systems on Stationary and Evolving Domains

(2018) Eduard Campillo-Funollet et al.   BULLETIN OF MATHEMATICAL BIOLOGY

Bayesian Synthetic Likelihood

(2017) L. F. Price et al.   JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS

Stable patterns with jump discontinuity in systems with Turing instability and hysteresis

(2016) Izumi Takagi et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Instability of turing patterns in reaction-diffusion-ODE systems

(2016) Anna Marciniak-Czochra et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Mechanochemical Symmetry Breaking in Hydra Aggregates

(2015) Moritz Mercker et al.   BIOPHYSICAL JOURNAL

Generalized correlation integral vectors: A distance concept for chaotic dynamical systems

(2015) Heikki Haario et al.   CHAOS

A Hierarchical Multilevel Markov Chain Monte Carlo Algorithm with Applications to Uncertainty Quantification in Subsurface Flow

(2015) T. J. Dodwell et al.   SIAM-ASA Journal on Uncertainty Quantification

Modelling from the experimental developmental biologists viewpoint

(2014) Andrew D. Economou et al.   SEMINARS IN CELL & DEVELOPMENTAL BIOLOGY

Spatially dependent parameter estimation and nonlinear data assimilation by autosynchronization of a system of partial differential equations

(2013) Sean Kramer et al.   CHAOS

A Mechanochemical Model for Embryonic Pattern Formation: Coupling Tissue Mechanics and Morphogen Expression

(2013) Moritz Mercker et al.   PLoS One

Two-dimensional spatial patterning in developmental systems

(2012) Keiko U. Torii   TRENDS IN CELL BIOLOGY

Turing's model for biological pattern formation and the robustness problem

(2012) P. K. Maini et al.   Interface Focus

An explicit link between Gaussian fields and Gaussian Markov random fields: the stochastic partial differential equation approach

(2011) Finn Lindgren et al.   JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY

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

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

Statistical inference for noisy nonlinear ecological dynamic systems

(2010) Simon N. Wood   NATURE

Interactions between zebrafish pigment cells responsible for the generation of Turing patterns

(2009) A. Nakamasu et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

From Signals to Patterns: Space, Time, and Mathematics in Developmental Biology

(2008) J. Lewis   SCIENCE