Four‐dimensional dynamics of MAPK information‐processing systems

Mitogen‐activated protein kinase (MAPK) cascades process a myriad of stimuli received by cell‐surface receptors and generate precise spatiotemporal guidance for multiple target proteins, dictating receptor‐specific cellular outcomes. Computational modeling reveals that the intrinsic topology of MAPK cascades enables them to amplify signal sensitivity and amplitude, reduce noise, and display intricate dynamic properties, which include toggle switches, excitation pulses, and oscillations. Specificity of signaling responses can be brought about by signal‐induced feedback and feedforward wiring imposed on the MAPK cascade backbone. Intracellular gradients of protein activities arise from the spatial separation of opposing reactions in kinase‐phosphatase cycles. The membrane confinement of the initiating kinase in MAPK cascades and cytosolic localization of phosphatases can result in precipitous gradients of phosphorylated signal‐transducers if they spread solely by diffusion. Endocytotic trafficking of active kinases driven by molecular motors and traveling waves of protein phosphorylation can propagate phosphorylation signals from the plasma membrane to the nucleus, especially in large cells, such as Xenopus eggs. Copyright © 2009 John Wiley & Sons, Inc.

[1]  James E. Ferrell,et al.  The JNK Cascade as a Biochemical Switch in Mammalian Cells Ultrasensitive and All-or-None Responses , 2003, Current Biology.

[2]  Mark von Zastrow,et al.  Signal transduction and endocytosis: close encounters of many kinds , 2002, Nature Reviews Molecular Cell Biology.

[3]  Boris N Kholodenko,et al.  MAP kinase cascade signaling and endocytic trafficking: a marriage of convenience? , 2002, Trends in cell biology.

[4]  N. Ahn,et al.  Positive feedback between MAP kinase and Mos during Xenopus oocyte maturation. , 1996, Developmental biology.

[5]  T. Elston,et al.  Bistability, stochasticity, and oscillations in the mitogen-activated protein kinase cascade. , 2006, Biophysical journal.

[6]  Paul Smolen,et al.  Bistable MAP kinase activity: a plausible mechanism contributing to maintenance of late long-term potentiation. , 2008, American journal of physiology. Cell physiology.

[7]  A. Levitzki,et al.  Dimerization of Ste5, a mitogen-activated protein kinase cascade scaffold protein, is required for signal transduction. , 1996, Proceedings of the National Academy of Sciences of the United States of America.

[8]  Jörg Stelling,et al.  Signaling cascades as cellular devices for spatial computations , 2009, Journal of mathematical biology.

[9]  Ryoichiro Kageyama,et al.  FGF induces oscillations of Hes1 expression and Ras/ERK activation , 2008, Current Biology.

[10]  V. Mogila,et al.  An intrinsic cell cycle checkpoint pathway mediated by MEK and ERK in Drosophila. , 2006, Developmental cell.

[11]  S. Meloche,et al.  Atypical mitogen-activated protein kinases: structure, regulation and functions. , 2007, Biochimica et biophysica acta.

[12]  D. Koshland,et al.  Ultrasensitivity in biochemical systems controlled by covalent modification. Interplay between zero-order and multistep effects. , 1984, The Journal of biological chemistry.

[13]  Rachel E. Lamson,et al.  Dual Role for Membrane Localization in Yeast MAP Kinase Cascade Activation and Its Contribution to Signaling Fidelity , 2006, Current Biology.

[14]  E. Nishida,et al.  The C. elegans p38 MAPK pathway regulates nuclear localization of the transcription factor SKN-1 in oxidative stress response. , 2005, Genes & development.

[15]  M. Sundaram,et al.  RTK/Ras/MAPK signaling. , 2006, WormBook : the online review of C. elegans biology.

[16]  M. Eisenstein,et al.  Vimentin binding to phosphorylated Erk sterically hinders enzymatic dephosphorylation of the kinase. , 2006, Journal of molecular biology.

[17]  François Nédélec,et al.  Modelling microtubule patterns , 2006, Nature Cell Biology.

[18]  Jörg Raisch,et al.  Multistationarity in the activation of a MAPK: parametrizing the relevant region in parameter space. , 2008, Mathematical biosciences.

[19]  K. Takishima,et al.  Thapsigargin, a novel promoter, phosphorylates the epidermal growth factor receptor at threonine 669. , 1988, Biochemical and biophysical research communications.

[20]  Robert E. Lewis,et al.  The Molecular Scaffold KSR1 Regulates the Proliferative and Oncogenic Potential of Cells , 2004, Molecular and Cellular Biology.

[21]  J. Pessin,et al.  SOS Phosphorylation and Disassociation of the Grb2-SOS Complex by the ERK and JNK Signaling Pathways (*) , 1996, The Journal of Biological Chemistry.

[22]  H. Wiley,et al.  Mutational removal of the Thr669 and Ser671 phosphorylation sites alters substrate specificity and ligand-induced internalization of the epidermal growth factor receptor. , 1990, The Journal of biological chemistry.

[23]  Muffy Calder,et al.  When kinases meet mathematics: the systems biology of MAPK signalling , 2005, FEBS letters.

[24]  L. Pelkmans,et al.  Not just a sink: endosomes in control of signal transduction. , 2004, Current opinion in cell biology.

[25]  Boris N Kholodenko,et al.  Long-range signaling by phosphoprotein waves arising from bistability in protein kinase cascades , 2006, Molecular systems biology.

[26]  H V Westerhoff,et al.  Why cytoplasmic signalling proteins should be recruited to cell membranes. , 2000, Trends in cell biology.

[27]  Frédéric Pincet,et al.  Membrane Recruitment of Scaffold Proteins Drives Specific Signaling , 2007, PloS one.

[28]  Shinya Kuroda,et al.  Prediction and validation of the distinct dynamics of transient and sustained ERK activation , 2005, Nature Cell Biology.

[29]  Matthias Peter,et al.  Scaffold proteins in MAP kinase signaling: more than simple passive activating platforms , 2006, BioEssays : news and reviews in molecular, cellular and developmental biology.

[30]  D. Koshland,et al.  An amplified sensitivity arising from covalent modification in biological systems. , 1981, Proceedings of the National Academy of Sciences of the United States of America.

[31]  G. Johnson,et al.  Signalling: Mixed-lineage kinase control of JNK and p38 MAPK pathways , 2002, Nature Reviews Molecular Cell Biology.

[32]  D. Odde,et al.  Potential for Control of Signaling Pathways via Cell Size and Shape , 2006, Current Biology.

[33]  Liang Qiao,et al.  Bistability and Oscillations in the Huang-Ferrell Model of MAPK Signaling , 2007, PLoS Comput. Biol..

[34]  Jonathan A. Cooper,et al.  Mitogen and stress response pathways: MAP kinase cascades and phosphatase regulation in mammals and yeast. , 1995, Current opinion in cell biology.

[35]  J. Blenis,et al.  Inhibition of ERK‐MAP kinase signaling by RSK during Drosophila development , 2006, The EMBO journal.

[36]  B F Dibrov,et al.  Dynamic stability of steady states and static stabilization in unbranched metabolic pathways , 1982, Journal of mathematical biology.

[37]  Timothy C Elston,et al.  Mathematical and computational analysis of adaptation via feedback inhibition in signal transduction pathways. , 2007, Biophysical journal.

[38]  J. Pouysségur,et al.  The Dual Specificity Mitogen-activated Protein Kinase Phosphatase-1 and −2 Are Induced by the p42/p44MAPK Cascade* , 1997, The Journal of Biological Chemistry.

[39]  B N Kholodenko,et al.  Signal processing at the Ras circuit: what shapes Ras activation patterns? , 2004, Systems biology.

[40]  F. Ausubel,et al.  The Caenorhabditis elegans MAPK phosphatase VHP‐1 mediates a novel JNK‐like signaling pathway in stress response , 2004, The EMBO journal.

[41]  J E Ferrell,et al.  The biochemical basis of an all-or-none cell fate switch in Xenopus oocytes. , 1998, Science.

[42]  R. Davis,et al.  Isolation and characterization of two growth factor-stimulated protein kinases that phosphorylate the epidermal growth factor receptor at threonine 669. , 1991, The Journal of biological chemistry.

[43]  A. Goldbeter Computational approaches to cellular rhythms , 2002, Nature.

[44]  J. Pouysségur,et al.  Fidelity and spatio-temporal control in MAP kinase (ERKs) signalling. , 2003, Biochemical pharmacology.

[45]  Uri Alon,et al.  Dynamics of the p53-Mdm2 feedback loop in individual cells , 2004, Nature Genetics.

[46]  Boris N Kholodenko,et al.  Scaffolding Protein Grb2-associated Binder 1 Sustains Epidermal Growth Factor-induced Mitogenic and Survival Signaling by Multiple Positive Feedback Loops* , 2006, Journal of Biological Chemistry.

[47]  Nils Blüthgen,et al.  Effects of sequestration on signal transduction cascades , 2006, The FEBS journal.

[48]  Herbert M Sauro,et al.  Oscillatory dynamics arising from competitive inhibition and multisite phosphorylation. , 2007, Journal of theoretical biology.

[49]  Karsten Weis,et al.  Visualization of a Ran-GTP Gradient in Interphase and Mitotic Xenopus Egg Extracts , 2002, Science.

[50]  Naoki Hisamoto,et al.  Integration of Caenorhabditis elegans MAPK pathways mediating immunity and stress resistance by MEK-1 MAPK kinase and VHP-1 MAPK phosphatase. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[51]  M. Karin,et al.  Mammalian MAP kinase signalling cascades , 2001, Nature.

[52]  César Nombela,et al.  Protein phosphatases in MAPK signalling: we keep learning from yeast , 2005, Molecular microbiology.

[53]  J. Downward,et al.  Downregulation of the Ras activation pathway by MAP kinase phosphorylation of Sos. , 1995, Oncogene.

[54]  James E. Ferrell,et al.  A positive-feedback-based bistable ‘memory module’ that governs a cell fate decision , 2007, Nature.

[55]  John J. Tyson,et al.  Hysteresis drives cell-cycle transitions in Xenopus laevis egg extracts , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[56]  B. Kholodenko,et al.  Negative feedback and ultrasensitivity can bring about oscillations in the mitogen-activated protein kinase cascades. , 2000, European journal of biochemistry.

[57]  A. Sickmann,et al.  Identification of major ERK-related phosphorylation sites in Gab1. , 2004, Biochemistry.

[58]  M. Iordanov,et al.  D-MEKK1, the Drosophila orthologue of mammalian MEKK4/MTK1, and Hemipterous/D-MKK7 mediate the activation of D-JNK by cadmium and arsenite in Schneider cells , 2006, BMC Cell Biology.

[59]  T. Hughes,et al.  Role of scaffolds in MAP kinase pathway specificity revealed by custom design of pathway-dedicated signaling proteins , 2001, Current Biology.

[60]  Kunihiro Matsumoto,et al.  GLH-1, the C. elegans P granule protein, is controlled by the JNK KGB-1 and by the COP9 subunit CSN-5 , 2007, Development.

[61]  G. Holzwarth,et al.  Fast vesicle transport in PC12 neurites: velocities and forces , 2004, European Biophysics Journal.

[62]  D. Fell,et al.  Differential feedback regulation of the MAPK cascade underlies the quantitative differences in EGF and NGF signalling in PC12 cells , 2000, FEBS letters.

[63]  Walter Kolch,et al.  Identification of the Mechanisms Regulating the Differential Activation of the MAPK Cascade by Epidermal Growth Factor and Nerve Growth Factor in PC12 Cells* , 2001, The Journal of Biological Chemistry.

[64]  R. Seger,et al.  The extracellular signal-regulated kinase: Multiple substrates regulate diverse cellular functions , 2006, Growth factors.

[65]  P. Bastiaens,et al.  Growth factor-induced MAPK network topology shapes Erk response determining PC-12 cell fate , 2007, Nature Cell Biology.

[66]  J. Olefsky,et al.  Negative Feedback Regulation and Desensitization of Insulin- and Epidermal Growth Factor-stimulated p21ras Activation (*) , 1995, The Journal of Biological Chemistry.

[67]  Kunihiro Matsumoto,et al.  Roles of MAP kinase cascades in Caenorhabditis elegans. , 2004, Journal of biochemistry.

[68]  U. Bhalla Signaling in small subcellular volumes. II. Stochastic and diffusion effects on synaptic network properties. , 2004, Biophysical journal.

[69]  Rey-Huei Chen,et al.  Molecular interpretation of ERK signal duration by immediate early gene products , 2002, Nature Cell Biology.

[70]  J. Parsons,et al.  Mitogen-Activated Protein Kinase Feedback Phosphorylation Regulates MEK1 Complex Formation and Activation during Cellular Adhesion , 2004, Molecular and Cellular Biology.

[71]  Babatunde A. Ogunnaike,et al.  Process Dynamics, Modeling, and Control , 1994 .

[72]  Eric Karsenti,et al.  Stathmin-Tubulin Interaction Gradients in Motile and Mitotic Cells , 2004, Science.

[73]  Jehoshua Bruck,et al.  Scaffold proteins may biphasically affect the levels of mitogen-activated protein kinase signaling and reduce its threshold properties. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[74]  K. Sneppen,et al.  Theoretical Analysis of Epigenetic Cell Memory by Nucleosome Modification , 2007, Cell.

[75]  W. R. Burack,et al.  Signal transduction: hanging on a scaffold. , 2000, Current opinion in cell biology.

[76]  U. Bhalla,et al.  Emergent properties of networks of biological signaling pathways. , 1999, Science.

[77]  Chi-Ying F. Huang,et al.  Ultrasensitivity in the mitogen-activated protein kinase cascade. , 1996, Proceedings of the National Academy of Sciences of the United States of America.

[78]  J. Pouysségur,et al.  Reduced MAP kinase phosphatase-1 degradation after p42/p44MAPK-dependent phosphorylation. , 1999, Science.

[79]  H Steven Wiley,et al.  Trafficking of the ErbB receptors and its influence on signaling. , 2003, Experimental cell research.

[80]  Lei Sun,et al.  Molecular identification and functional characterization of a Drosophila dual-specificity phosphatase DMKP-4 which is involved in PGN-induced activation of the JNK pathway. , 2008, Cellular signalling.

[81]  R. Campenot,et al.  Spatial requirements for TrkA kinase activity in the support of neuronal survival and axon growth in rat sympathetic neurons , 2003, Neuropharmacology.

[82]  B N Kholodenko,et al.  Why do protein kinase cascades have more than one level? , 1997, Trends in biochemical sciences.

[83]  Boris N. Kholodenko,et al.  Untangling the signalling wires , 2007, Nature Cell Biology.

[84]  Eric Karsenti,et al.  Gradients in the self-organization of the mitotic spindle. , 2006, Trends in cell biology.

[85]  Frank Allgöwer,et al.  Steady state and (bi-) stability evaluation of simple protease signalling networks , 2007, Biosyst..

[86]  B. Kholodenko,et al.  Ligand-dependent responses of the ErbB signaling network: experimental and modeling analyses , 2007, Molecular systems biology.

[87]  Eduardo Sontag,et al.  Untangling the wires: A strategy to trace functional interactions in signaling and gene networks , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[88]  E. Eves,et al.  Activation of Raf-1 Signaling by Protein Kinase C through a Mechanism Involving Raf Kinase Inhibitory Protein* , 2003, The Journal of Biological Chemistry.

[89]  Tianhai Tian,et al.  Subcellular Localization Determines MAP Kinase Signal Output , 2005, Current Biology.

[90]  T. Elston,et al.  Systems biology analysis of G protein and MAP kinase signaling in yeast , 2007, Oncogene.

[91]  Nir Yakoby,et al.  Drosophila eggshell is patterned by sequential action of feedforward and feedback loops , 2007, Development.

[92]  R. Campenot,et al.  Retrograde transport of neurotrophins: fact and function. , 2004, Journal of neurobiology.

[93]  M. Therrien,et al.  KSR is a scaffold required for activation of the ERK/MAPK module. , 2002, Genes & development.

[94]  B N Kholodenko,et al.  Spatial gradients of cellular phospho‐proteins , 1999, FEBS letters.

[95]  E. Nishida,et al.  Dynamics of the Ras/ERK MAPK Cascade as Monitored by Fluorescent Probes* , 2006, Journal of Biological Chemistry.

[96]  Satoko Nishimoto,et al.  MAPK signalling: ERK5 versus ERK1/2 , 2006, EMBO reports.

[97]  Ronald N Germain,et al.  Modeling T Cell Antigen Discrimination Based on Feedback Control of Digital ERK Responses , 2005, PLoS biology.

[98]  E. Reddy,et al.  Scaffold proteins of MAP-kinase modules , 2007, Oncogene.

[99]  Jeffrey P. MacKeigan,et al.  A Network of Immediate Early Gene Products Propagates Subtle Differences in Mitogen-Activated Protein Kinase Signal Amplitude and Duration , 2004, Molecular and Cellular Biology.

[100]  Wei Chen,et al.  Differential regulation and properties of MAPKs , 2007, Oncogene.

[101]  Jan Lankelma,et al.  Principles behind the multifarious control of signal transduction , 2004, The FEBS journal.

[102]  Patricia L. Harris,et al.  Activating mutations in the epidermal growth factor receptor underlying responsiveness of non-small-cell lung cancer to gefitinib. , 2004, The New England journal of medicine.

[103]  Eduardo Sontag,et al.  Building a cell cycle oscillator: hysteresis and bistability in the activation of Cdc2 , 2003, Nature Cell Biology.

[104]  Eran Perlson,et al.  Vimentin-Dependent Spatial Translocation of an Activated MAP Kinase in Injured Nerve , 2005, Neuron.

[105]  J E Ferrell,et al.  Xenopus oocyte maturation: new lessons from a good egg. , 1999, BioEssays : news and reviews in molecular, cellular and developmental biology.

[106]  U. Bhalla Signaling in small subcellular volumes. I. Stochastic and diffusion effects on individual pathways. , 2004, Biophysical journal.

[107]  William C Mobley,et al.  Signaling endosome hypothesis: A cellular mechanism for long distance communication. , 2004, Journal of neurobiology.

[108]  R. Campenot,et al.  Retrograde Support of Neuronal Survival Without Retrograde Transport of Nerve Growth Factor , 2002, Science.

[109]  G. Rubin,et al.  Identification of Constitutive and Ras-Inducible Phosphorylation Sites of KSR: Implications for 14-3-3 Binding, Mitogen-Activated Protein Kinase Binding, and KSR Overexpression , 1999, Molecular and Cellular Biology.

[110]  Reinhart Heinrich,et al.  Mathematical models of protein kinase signal transduction. , 2002, Molecular cell.

[111]  G. Sala,et al.  Expression of RALT, a feedback inhibitor of ErbB receptors, is subjected to an integrated transcriptional and post-translational control , 2002, Oncogene.

[112]  B. Kholodenko,et al.  Signaling switches and bistability arising from multisite phosphorylation in protein kinase cascades , 2004, The Journal of cell biology.

[113]  H. Sauro,et al.  Quantitative analysis of signaling networks. , 2004, Progress in biophysics and molecular biology.

[114]  A. Brunet,et al.  Substrate Recognition Domains within Extracellular Signal-regulated Kinase Mediate Binding and Catalytic Activation of Mitogen-activated Protein Kinase Phosphatase-3* , 2000, The Journal of Biological Chemistry.

[115]  J. Thorner,et al.  Ste5 RING-H2 domain: role in Ste4-promoted oligomerization for yeast pheromone signaling. , 1997, Science.

[116]  B. Kholodenko,et al.  Quantification of information transfer via cellular signal transduction pathways , 1997, FEBS letters.

[117]  C. Der,et al.  Targeting the Raf-MEK-ERK mitogen-activated protein kinase cascade for the treatment of cancer , 2007, Oncogene.

[118]  James E. Ferrell,et al.  Systems-Level Dissection of the Cell-Cycle Oscillator: Bypassing Positive Feedback Produces Damped Oscillations , 2005, Cell.

[119]  B. Kholodenko Four-dimensional organization of protein kinase signaling cascades: the roles of diffusion, endocytosis and molecular motors , 2003, Journal of Experimental Biology.

[120]  B. Kholodenko Cell-signalling dynamics in time and space , 2006, Nature Reviews Molecular Cell Biology.

[121]  J E Ferrell,et al.  How responses get more switch-like as you move down a protein kinase cascade. , 1997, Trends in biochemical sciences.

[122]  M Laurent,et al.  Multistability: a major means of differentiation and evolution in biological systems. , 1999, Trends in biochemical sciences.

[123]  Marta Cascante,et al.  Bistability from double phosphorylation in signal transduction , 2006, The FEBS journal.

[124]  Michael Knop,et al.  Spatial regulation of Fus3 MAP kinase activity through a reaction-diffusion mechanism in yeast pheromone signalling , 2007, Nature Cell Biology.

[125]  Nils Blüthgen,et al.  How robust are switches in intracellular signaling cascades? , 2003, Journal of theoretical biology.

[126]  A. Chakraborty,et al.  Scaffold proteins confer diverse regulatory properties to protein kinase cascades , 2007, Proceedings of the National Academy of Sciences.

[127]  J. Tyson,et al.  Numerical analysis of a comprehensive model of M-phase control in Xenopus oocyte extracts and intact embryos. , 1993, Journal of cell science.

[128]  C. Marshall,et al.  Specificity of receptor tyrosine kinase signaling: Transient versus sustained extracellular signal-regulated kinase activation , 1995, Cell.

[129]  E. Martín-Blanco p38 MAPK signalling cascades: ancient roles and new functions , 2000, BioEssays : news and reviews in molecular, cellular and developmental biology.

[130]  W. Kolch Coordinating ERK/MAPK signalling through scaffolds and inhibitors , 2005, Nature Reviews Molecular Cell Biology.

[131]  J. Ferrell,et al.  Bistability in the JNK cascade , 2001, Current Biology.