Dynamics of Posttranslational Modification Systems: Recent Progress and Future Directions.
暂无分享,去创建一个
[1] Heather A. Harrington,et al. Cellular compartments cause multistability and allow cells to process more information. , 2013, Biophysical journal.
[2] Henry H. Mattingly,et al. Long-term dynamics of multisite phosphorylation , 2016, Molecular biology of the cell.
[3] Carsten Wiuf,et al. Uniform Approximation of Solutions by Elimination of Intermediate Species in Deterministic Reaction Networks , 2016, SIAM J. Appl. Dyn. Syst..
[4] Jeremy Gunawardena,et al. A Linear Framework for Time-Scale Separation in Nonlinear Biochemical Systems , 2012, PloS one.
[5] David Angeli,et al. Translation-invariant monotone systems, and a global convergence result for enzymatic futile cycles ☆ , 2008 .
[6] Liming Wang,et al. Protein Scaffolds Can Enhance the Bistability of Multisite Phosphorylation Systems , 2012, PLoS Comput. Biol..
[7] Murad Banaji,et al. Inheritance of oscillation in chemical reaction networks , 2017, Appl. Math. Comput..
[8] M. Roussel,et al. Turing-Hopf instability in biochemical reaction networks arising from pairs of subnetworks. , 2012, Mathematical biosciences.
[9] J. Bown,et al. Feedforward and feedback regulation of the MAPK and PI3K oscillatory circuit in breast cancer. , 2013, Cellular signalling.
[10] T. Höfer,et al. Multisite protein phosphorylation – from molecular mechanisms to kinetic models , 2009, The FEBS journal.
[11] Marta Cascante,et al. Bistability from double phosphorylation in signal transduction , 2006, The FEBS journal.
[12] C. Wiuf,et al. Intermediates and Generic Convergence to Equilibria , 2016, Bulletin of mathematical biology.
[13] J. Ferrell,et al. Bistability in the JNK cascade , 2001, Current Biology.
[14] B N Kholodenko,et al. Diffusion control of protein phosphorylation in signal transduction pathways. , 2000, The Biochemical journal.
[15] Alicia Dickenstein,et al. Chemical Reaction Systems with Toric Steady States , 2011, Bulletin of mathematical biology.
[16] Jeremy Gunawardena,et al. The geometry of multisite phosphorylation. , 2008, Biophysical journal.
[17] Adriana Morales. No oscillations in the Michaelis-Menten approximation of the dual futile cycle under a sequential and distributive mechanism , 2017 .
[18] Thapanar Suwanmajo,et al. Mixed mechanisms of multi-site phosphorylation , 2015, Journal of The Royal Society Interface.
[19] David Angeli,et al. Graph-theoretic characterizations of monotonicity of chemical networks in reaction coordinates , 2010, Journal of mathematical biology.
[20] Alan D. Rendall,et al. A proof of bistability for the dual futile cycle , 2014, 1404.0394.
[21] Jörg Raisch,et al. Multistationarity in the activation of a MAPK: parametrizing the relevant region in parameter space. , 2008, Mathematical biosciences.
[22] Dietrich Flockerzi,et al. Multistationarity in Sequential Distributed Multisite Phosphorylation Networks , 2013, Bulletin of Mathematical Biology.
[23] Boris N. Kholodenko,et al. Signalling ballet in space and time , 2010, Nature Reviews Molecular Cell Biology.
[24] Dima Grigoriev,et al. Detection of Hopf bifurcations in chemical reaction networks using convex coordinates , 2015, J. Comput. Phys..
[25] R. Marais,et al. Kinase-activating and kinase-impaired cardio-facio-cutaneous syndrome alleles have activity during zebrafish development and are sensitive to small molecule inhibitors , 2009, Human molecular genetics.
[26] Philip R. Cohen. The role of protein phosphorylation in human health and disease.: Delivered on June 30th 2001 at the FEBS Meeting in Lisbon , 2001 .
[27] Helen M. Byrne,et al. Decomposing the Parameter Space of Biological Networks via a Numerical Discriminant Approach , 2016, MC.
[28] Prahlad T. Ram,et al. MAP Kinase Phosphatase As a Locus of Flexibility in a Mitogen-Activated Protein Kinase Signaling Network , 2002, Science.
[29] John J Tyson,et al. Bistability by multiple phosphorylation of regulatory proteins. , 2009, Progress in biophysics and molecular biology.
[30] Badal Joshi,et al. A survey of methods for deciding whether a reaction network is multistationary , 2014, 1412.5257.
[31] Mercedes Pérez Millán,et al. MAPK's networks and their capacity for multistationarity due to toric steady states. , 2014, Mathematical biosciences.
[32] Dietrich Flockerzi,et al. Multistationarity in mass action networks with applications to ERK activation , 2012, Journal of mathematical biology.
[33] Badal Joshi,et al. Which Small Reaction Networks Are Multistationary? , 2016, SIAM J. Appl. Dyn. Syst..
[34] Elisenda Feliu,et al. Enzyme-sharing as a cause of multi-stationarity in signalling systems , 2011, Journal of The Royal Society Interface.
[35] Kenneth L. Ho,et al. Numerical algebraic geometry for model selection and its application to the life sciences , 2015, Journal of The Royal Society Interface.
[36] Bernd Sturmfels,et al. Algebraic Systems Biology: A Case Study for the Wnt Pathway , 2015, Bulletin of Mathematical Biology.
[37] Elisenda Feliu,et al. Variable Elimination in Chemical Reaction Networks with Mass-Action Kinetics , 2011, SIAM J. Appl. Math..
[38] W. Miller,et al. Processive phosphorylation: mechanism and biological importance. , 2007, Cellular signalling.
[39] Murad Banaji,et al. The Inheritance of Nondegenerate Multistationarity in Chemical Reaction Networks , 2016, SIAM J. Appl. Math..
[40] Jörg Stelling,et al. Signaling cascades as cellular devices for spatial computations , 2009, Journal of mathematical biology.
[41] Alicia Dickenstein,et al. Sign Conditions for Injectivity of Generalized Polynomial Maps with Applications to Chemical Reaction Networks and Real Algebraic Geometry , 2013, Found. Comput. Math..
[42] Elisenda Feliu,et al. Identifying parameter regions for multistationarity , 2016, PLoS Comput. Biol..
[43] A. Rendall,et al. Dynamical Features of the MAP Kinase Cascade , 2017 .
[44] Elisenda Feliu,et al. Simplifying biochemical models with intermediate species , 2013, Journal of The Royal Society Interface.
[45] Elisenda Feliu,et al. Variable elimination in post-translational modification reaction networks with mass-action kinetics , 2011, Journal of mathematical biology.
[46] Carsten Conradi,et al. A Global Convergence Result for Processive Multisite Phosphorylation Systems , 2014, Bulletin of mathematical biology.
[47] B. Kholodenko,et al. Signaling switches and bistability arising from multisite phosphorylation in protein kinase cascades , 2004, The Journal of cell biology.
[48] Anne Shiu,et al. An all-encompassing global convergence result for processive multisite phosphorylation systems. , 2016, Mathematical biosciences.
[49] David Angeli,et al. New Approach to the Stability of Chemical Reaction Networks: Piecewise Linear in Rates Lyapunov Functions , 2014, IEEE Transactions on Automatic Control.
[50] Jeremy Gunawardena,et al. The rational parameterization theorem for multisite post-translational modification systems. , 2009, Journal of theoretical biology.
[51] Alicia Dickenstein,et al. The Structure of MESSI Biological Systems , 2016, SIAM J. Appl. Dyn. Syst..
[52] J. Gunawardena,et al. Unlimited multistability in multisite phosphorylation systems , 2009, Nature.
[53] Liming Wang,et al. Singularly Perturbed Monotone Systems and an Application to Double Phosphorylation Cycles , 2008, J. Nonlinear Sci..
[54] J. Gunawardena. Multisite protein phosphorylation makes a good threshold but can be a poor switch. , 2005, Proceedings of the National Academy of Sciences of the United States of America.
[55] Elisenda Feliu,et al. Intermediates, catalysts, persistence, and boundary steady states , 2015, Journal of mathematical biology.
[56] B. Kholodenko. Cell-signalling dynamics in time and space , 2006, Nature Reviews Molecular Cell Biology.
[57] Dietrich Flockerzi,et al. N-site Phosphorylation Systems with 2N-1 Steady States , 2013, Bulletin of mathematical biology.
[58] H. Ueda,et al. A design principle for a posttranslational biochemical oscillator. , 2012, Cell reports.
[59] Eduardo Sontag,et al. On the number of steady states in a multiple futile cycle , 2008, Journal of mathematical biology.
[60] Elisenda Feliu,et al. An Algebraic Approach to Signaling Cascades with n Layers , 2010, Bulletin of Mathematical Biology.
[61] Katsuyuki Kunida,et al. Processive phosphorylation of ERK MAP kinase in mammalian cells , 2011, Proceedings of the National Academy of Sciences.
[62] A. Cornish-Bowden. Fundamentals of Enzyme Kinetics , 1979 .
[63] Andre Levchenko,et al. Oscillatory Phosphorylation of Yeast Fus3 MAP Kinase Controls Periodic Gene Expression and Morphogenesis , 2008, Current Biology.
[64] M. Feinberg,et al. Multiple Equilibria in Complex Chemical Reaction Networks: Extensions to Entrapped Species Models , 2022 .
[65] Reka Albert,et al. Biological switches and clocks , 2008, Journal of The Royal Society Interface.
[66] Elisenda Feliu,et al. Graphical reduction of reaction networks by linear elimination of species , 2015, Journal of mathematical biology.
[67] A. Tudorascu,et al. Chemical reaction-diffusion networks: convergence of the method of lines , 2017, Journal of Mathematical Chemistry.
[68] Carsten Conradi,et al. Catalytic constants enable the emergence of bistability in dual phosphorylation , 2014, Journal of The Royal Society Interface.
[69] Hanno Steen,et al. Post‐translational modification: nature's escape from genetic imprisonment and the basis for dynamic information encoding , 2012, Wiley interdisciplinary reviews. Systems biology and medicine.
[70] P. Cohen,et al. The regulation of protein function by multisite phosphorylation--a 25 year update. , 2000, Trends in biochemical sciences.