Emergence of Oscillations in a Mixed-Mechanism Phosphorylation System

Dynamics of Posttranslational Modification Systems: Recent Progress and Future Directions

(2018) Carsten Conradi et al.   BIOPHYSICAL JOURNAL

Stability analysis of the Michaelis–Menten approximation of a mixed mechanism of a phosphorylation system

(2018) Shodhan Rao   MATHEMATICAL BIOSCIENCES

The Structure of MESSI Biological Systems

(2018) Mercedes Pérez Millán et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Precluding oscillations in Michaelis–Menten approximations of dual-site phosphorylation systems

(2018) Hwai-Ray Tung   MATHEMATICAL BIOSCIENCES

An all-encompassing global convergence result for processive multisite phosphorylation systems

(2017) Mitchell Eithun et al.   MATHEMATICAL BIOSCIENCES

Minimal oscillating subnetwork in the Huang-Ferrell model of the MAPK cascade

(2017) Otto Hadač et al.   PLoS One

Design Principles of Phosphorylation-Dependent Timekeeping in Eukaryotic Circadian Clocks

(2017) Koji L. Ode et al.   Cold Spring Harbor Perspectives in Biology

Identifying parameter regions for multistationarity

(2017) Carsten Conradi et al.   PLoS Computational Biology

Global stability of a class of futile cycles

(2016) Shodhan Rao   JOURNAL OF MATHEMATICAL BIOLOGY

Long-term dynamics of multisite phosphorylation

(2016) Boris Y. Rubinstein et al.   MOLECULAR BIOLOGY OF THE CELL

Sign Conditions for Injectivity of Generalized Polynomial Maps with Applications to Chemical Reaction Networks and Real Algebraic Geometry

(2015) Stefan Müller et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

Detection of Hopf bifurcations in chemical reaction networks using convex coordinates

(2015) Hassan Errami et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Mixed mechanisms of multi-site phosphorylation

(2015) T. Suwanmajo et al.   Journal of the Royal Society Interface

MAPK’s networks and their capacity for multistationarity due to toric steady states

(2015) Mercedes Pérez Millán et al.   MATHEMATICAL BIOSCIENCES

A proof of bistability for the dual futile cycle

(2015) Juliette Hell et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

A Global Convergence Result for Processive Multisite Phosphorylation Systems

(2014) Carsten Conradi et al.   BULLETIN OF MATHEMATICAL BIOLOGY

Translated Chemical Reaction Networks

(2014) Matthew D. Johnston   BULLETIN OF MATHEMATICAL BIOLOGY

Catalytic constants enable the emergence of bistability in dual phosphorylation

(2014) C. Conradi et al.   Journal of the Royal Society Interface

Ultrasensitivity part II: multisite phosphorylation, stoichiometric inhibitors, and positive feedback

(2014) James E. Ferrell et al.   TRENDS IN BIOCHEMICAL SCIENCES

Feedforward and feedback regulation of the MAPK and PI3K oscillatory circuit in breast cancer

(2012) Huizhong Hu et al.   CELLULAR SIGNALLING

Chemical Reaction Systems with Toric Steady States

(2011) Mercedes Pérez Millán et al.   BULLETIN OF MATHEMATICAL BIOLOGY

Processive phosphorylation of ERK MAP kinase in mammalian cells

(2011) K. Aoki et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Multisite protein phosphorylation - from molecular mechanisms to kinetic models

(2009) Carlos Salazar et al.   FEBS Journal

The rational parameterisation theorem for multisite post-translational modification systems

(2009) Matthew Thomson et al.   JOURNAL OF THEORETICAL BIOLOGY

Oscillatory Phosphorylation of Yeast Fus3 MAP Kinase Controls Periodic Gene Expression and Morphogenesis

(2008) Zoe Hilioti et al.   CURRENT BIOLOGY

Bistability and oscillations in chemical reaction networks

(2008) Mirela Domijan et al.   JOURNAL OF MATHEMATICAL BIOLOGY