Intrinsic noise, Delta-Notch signalling and delayed reactions promote sustained, coherent, synchronized oscillations in the presomitic mesoderm

Noise in the Vertebrate Segmentation Clock Is Boosted by Time Delays but Tamed by Notch Signaling

(2018) Sevdenur Keskin et al.   Cell Reports

Identifying stochastic oscillations in single-cell live imaging time series using Gaussian processes

(2017) Nick E. Phillips et al.   PLoS Computational Biology

Oscillatory control of Delta-like1 in cell interactions regulates dynamic gene expression and tissue morphogenesis

(2016) Hiromi Shimojo et al.   GENES & DEVELOPMENT

Stochasticity in the miR-9/Hes1 oscillatory network can account for clonal heterogeneity in the timing of differentiation

(2016) Nick E Phillips et al.   eLife

Spatial gradients of protein-level time delays set the pace of the traveling segmentation clock waves

(2014) A. Ay et al.   DEVELOPMENT

Gaussian approximations for stochastic systems with delay: Chemical Langevin equation and application to a Brusselator system

(2014) Tobias Brett et al.   JOURNAL OF CHEMICAL PHYSICS

Synchronization of stochastic oscillators in biochemical systems

(2013) Joseph D. Challenger et al.   PHYSICAL REVIEW E

Stochastic Processes with Distributed Delays: Chemical Langevin Equation and Linear-Noise Approximation

(2013) Tobias Brett et al.   PHYSICAL REVIEW LETTERS

Functional Roles of Pulsing in Genetic Circuits

(2013) J. H. Levine et al.   SCIENCE

Patterning embryos with oscillations: structure, function and dynamics of the vertebrate segmentation clock

(2012) A. C. Oates et al.   DEVELOPMENT

Single-Cell-Resolution Imaging of the Impact of Notch Signaling and Mitosis on Segmentation Clock Dynamics

(2012) Emilie A. Delaune et al.   DEVELOPMENTAL CELL

Phase lag in epidemics on a network of cities

(2012) G. Rozhnova et al.   PHYSICAL REVIEW E

Spontaneous spatiotemporal waves of gene expression from biological clocks in the leaf

(2012) B. Wenden et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Oscillatory gene expression and somitogenesis

(2012) Ryoichiro Kageyama et al.   Wiley Interdisciplinary Reviews-Developmental Biology

Vertebrate Segmentation: From Cyclic Gene Networks to Scoliosis

(2011) Olivier Pourquié   CELL

Notch signaling: simplicity in design, versatility in function

(2011) E. R. Andersson et al.   DEVELOPMENT

Stochastic waves in a Brusselator model with nonlocal interaction

(2011) Tommaso Biancalani et al.   PHYSICAL REVIEW E

A Wnt Oscillator Model for Somitogenesis

(2010) Peter B. Jensen et al.   BIOPHYSICAL JOURNAL

Stochastic amplification in an epidemic model with seasonal forcing

(2010) Andrew J. Black et al.   JOURNAL OF THEORETICAL BIOLOGY

Intrinsic fluctuations in stochastic delay systems: Theoretical description and application to a simple model of gene regulation

(2009) Tobias Galla   PHYSICAL REVIEW E

Limit cycles, complex Floquet multipliers, and intrinsic noise

(2009) Richard P. Boland et al.   PHYSICAL REVIEW E

Oscillatory Notch-pathway activity in a delay model of neuronal differentiation

(2009) Hiroshi Momiji et al.   PHYSICAL REVIEW E

Delayed coupling theory of vertebrate segmentation

(2008) Luis G. Morelli et al.   HFSP Journal

A delay stochastic process with applications in molecular biology

(2008) Robert Schlicht et al.   JOURNAL OF MATHEMATICAL BIOLOGY

How limit cycles and quasi-cycles are related in systems with intrinsic noise

(2008) Richard P Boland et al.   JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Modeling the segmentation clock as a network of coupled oscillations in the Notch, Wnt and FGF signaling pathways

(2008) Albert Goldbeter et al.   JOURNAL OF THEORETICAL BIOLOGY

Oscillations in Notch Signaling Regulate Maintenance of Neural Progenitors

(2008) Hiromi Shimojo et al.   NEURON

Quasicycles in a spatial predator-prey model

(2008) Carlos A. Lugo et al.   PHYSICAL REVIEW E

Notch Signalling Synchronizes the Zebrafish Segmentation Clock but Is Not Needed To Create Somite Boundaries

(2008) Ertuğrul M. Özbudak et al.   PLoS Genetics