The role of the Hes1 crosstalk hub in Notch-Wnt interactions of the intestinal crypt

The Integrated Role of Wnt/β-Catenin, N-Glycosylation, and E-Cadherin-Mediated Adhesion in Network Dynamics

(2016) Diego A. Vargas et al.   PLoS Computational Biology

Algebraic Systems Biology: A Case Study for the Wnt Pathway

(2015) Elizabeth Gross et al.   BULLETIN OF MATHEMATICAL BIOLOGY

Mathematical modelling suggests a differential impact of β-transducin repeat-containing protein paralogues on Wnt/β-catenin signalling dynamics

(2015) Uwe Benary et al.   FEBS Journal

Hopf bifurcation in a gene regulatory network model: Molecular movement causes oscillations

(2015) Mark Chaplain et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Parameter-free methods distinguish Wnt pathway models and guide design of experiments

(2015) Adam L. MacLean et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Cellular Compartments Cause Multistability and Allow Cells to Process More Information

(2013) Heather A. Harrington et al.   BIOPHYSICAL JOURNAL

The Role of Dimerisation and Nuclear Transport in the Hes1 Gene Regulatory Network

(2013) Marc Sturrock et al.   BULLETIN OF MATHEMATICAL BIOLOGY

Analysing the impact of nucleo-cytoplasmic shuttling of β-catenin and its antagonists APC, Axin and GSK3 on Wnt/β-catenin signalling

(2013) Yvonne Schmitz et al.   CELLULAR SIGNALLING

Spatial stochastic modelling of the Hes1 gene regulatory network: intrinsic noise can explain heterogeneity in embryonic stem cell differentiation

(2013) M. Sturrock et al.   Journal of the Royal Society Interface

Mathematical models for the Notch and Wnt signaling pathways and the crosstalk between them during somitogenesis

(2013) Hong-yan Wang et al.   Theoretical Biology and Medical Modelling

Wnt/β-Catenin Signaling and Disease

(2012) Hans Clevers et al.   CELL

The role of Hes genes in intestinal development, homeostasis and tumor formation

(2012) T. Ueo et al.   DEVELOPMENT

A theoretical investigation of the effect of proliferation and adhesion on monoclonal conversion in the colonic crypt

(2012) Gary R. Mirams et al.   JOURNAL OF THEORETICAL BIOLOGY

Concordant chemical reaction networks

(2012) Guy Shinar et al.   MATHEMATICAL BIOSCIENCES

Wnt Signalling Pathway Parameters for Mammalian Cells

(2012) Chin Wee Tan et al.   PLoS One

Modelling the Spatio-Temporal Cell Dynamics Reveals Novel Insights on Cell Differentiation and Proliferation in the Small Intestinal Crypt

(2012) Carmen Pin et al.   PLoS One

A Dynamical-Systems View of Stem Cell Biology

(2012) C. Furusawa et al.   SCIENCE

Kinetic Responses of  -Catenin Specify the Sites of Wnt Control

(2012) A. R. Hernandez et al.   SCIENCE

Alternative Wnt Pathways and Receptors

(2012) R. van Amerongen   Cold Spring Harbor Perspectives in Biology

Regulation of self-renewal and differentiation by the intestinal stem cell niche

(2011) Trevor M. Yeung et al.   CELLULAR AND MOLECULAR LIFE SCIENCES

Complex interplay between  -catenin signalling and Notch effectors in intestinal tumorigenesis

(2011) G. Peignon et al.   GUT

Nucleo-cytoplasmic shuttling of APC can maximize β‐catenin/TCF concentration

(2011) Yvonne Schmitz et al.   JOURNAL OF THEORETICAL BIOLOGY

A Spatio-Temporal Model of Notch Signalling in the Zebrafish Segmentation Clock: Conditions for Synchronised Oscillatory Dynamics

(2011) Alan J. Terry et al.   PLoS One

Modelling the Delta1/Notch1 Pathway: In Search of the Mediator(s) of Neural Stem Cell Differentiation

(2011) Alexandros Kiparissides et al.   PLoS One

Dickkopf1 Regulates Fate Decision and Drives Breast Cancer Stem Cells to Differentiation: An Experimentally Supported Mathematical Model

(2011) Zvia Agur et al.   PLoS One

A Comprehensive Model of the Spatio-Temporal Stem Cell and Tissue Organisation in the Intestinal Crypt

(2011) Peter Buske et al.   PLoS Computational Biology

Colon Stem Cell and Crypt Dynamics Exposed by Cell Lineage Reconstruction

(2011) Yitzhak Reizel et al.   PLoS Genetics

Hes1 Oscillations Contribute to Heterogeneous Differentiation Responses in Embryonic Stem Cells

(2011) Taeko Kobayashi et al.   Genes

NOTCH Signaling Is Required for Formation and Self-Renewal of Tumor-Initiating Cells and for Repression of Secretory Cell Differentiation in Colon Cancer

(2010) S. S. Sikandar et al.   CANCER RESEARCH

Hes1 regulates embryonic stem cell differentiation by suppressing Notch signaling

(2010) Taeko Kobayashi et al.   GENES TO CELLS

Stem cells in colon cancer. A new era in cancer theory begins

(2010) Joanna Papailiou et al.   INTERNATIONAL JOURNAL OF COLORECTAL DISEASE

Convergence of Notch and β-catenin signaling induces arterial fate in vascular progenitors

(2010) Kohei Yamamizu et al.   JOURNAL OF CELL BIOLOGY

Spatio-temporal modelling of the Hes1 and p53-Mdm2 intracellular signalling pathways

(2010) Marc Sturrock et al.   JOURNAL OF THEORETICAL BIOLOGY

Cis-interactions between Notch and Delta generate mutually exclusive signalling states

(2010) David Sprinzak et al.   NATURE

Emerging links between CDK cell cycle regulators and Wnt signaling

(2010) Gary Davidson et al.   TRENDS IN CELL BIOLOGY

Colorectal cancer stem cells

(2009) Paul Salama et al.   ANZ JOURNAL OF SURGERY

An integrative computational model for intestinal tissue renewal

(2009) I. M. M. van Leeuwen et al.   CELL PROLIFERATION

The cyclic gene Hes1 contributes to diverse differentiation responses of embryonic stem cells

(2009) T. Kobayashi et al.   GENES & DEVELOPMENT

A multiple timescale analysis of a mathematical model of the Wnt/β-catenin signalling pathway

(2009) Gary R. Mirams et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Evidence that Fold-Change, and Not Absolute Level, of β-Catenin Dictates Wnt Signaling

(2009) Lea Goentoro et al.   MOLECULAR CELL

Single Lgr5 stem cells build crypt-villus structures in vitro without a mesenchymal niche

(2009) Toshiro Sato et al.   NATURE

Stochastic modelling for quantitative description of heterogeneous biological systems

(2009) Darren J. Wilkinson   NATURE REVIEWS GENETICS

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

(2009) Hiroshi Momiji et al.   PHYSICAL REVIEW E

Spatio-Temporal Modelling of the p53–mdm2 Oscillatory System

(2009) K. E. Gordon et al.   Mathematical Modelling of Natural Phenomena

Computational Models of the Notch Network Elucidate Mechanisms of Context-dependent Signaling

(2009) Smita Agrawal et al.   PLoS Computational Biology

Beta-catenin modulates the level and transcriptional activity of Notch1/NICD through its direct interaction

(2008) Yun Hye Jin et al.   BIOCHIMICA ET BIOPHYSICA ACTA-MOLECULAR CELL RESEARCH

Modeling the Influence of the E-Cadherin-β-Catenin Pathway in Cancer Cell Invasion: A Multiscale Approach

(2008) Ignacio Ramis-Conde et al.   BIOPHYSICAL JOURNAL

Effects of Intrinsic and Extrinsic Noise Can Accelerate Juxtacrine Pattern Formation

(2008) Tim Rudge et al.   BULLETIN OF MATHEMATICAL BIOLOGY

The stochastic nature of biochemical networks

(2008) Vahid Shahrezaei et al.   CURRENT OPINION IN BIOTECHNOLOGY

Dissecting the dynamics of the Hes1 genetic oscillator

(2008) Hiroshi Momiji et al.   JOURNAL OF THEORETICAL BIOLOGY

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

Dynamic Notch signaling in neural progenitor cells and a revised view of lateral inhibition

(2008) Ryoichiro Kageyama et al.   NATURE NEUROSCIENCE

Analysis of a Mathematical Model for the Molecular Mechanism of Fate Decision in Mammary Stem Cells

(2008) O. U. Kirnasovsky et al.   Mathematical Modelling of Natural Phenomena