Systematic Quantification of Negative Feedback Mechanisms in the Extracellular Signal-regulated Kinase (erk) Signaling Network * □ S Experimental Procedures Data-driven Modeling of Feedback Regulating Erk Signaling Data-driven Modeling of Feedback Regulating Erk Signaling Data-driven Modeling of Fee

Cell responses are actuated by tightly controlled signal transduction pathways. Although the concept of an integrated signaling network replete with interpathway cross-talk and feedback regulation is broadly appreciated, kinetic data of the type needed to characterize such interactions in conjunction with mathematical models are lacking. In mammalian cells, the Ras/ERK pathway controls cell proliferation and other responses stimulated by growth factors, and several cross-talk and feedback mechanisms affecting its activation have been identified. In this work, we take a systematic approach to parse the magnitudes of multiple regulatory mechanisms that attenuate ERK activation through canonical (Ras-dependent) and non-canonical (PI3K-dependent) pathways. In addition to regulation of receptor and ligand levels, we consider three layers of ERK-dependent feedback: desensitization of Ras activation, negative regulation of MEK kinase (e.g. Raf) activities, and up-regulation of dual-specificity ERK phosphatases. Our results establish the second of these as the dominant mode of ERK self-regulation in mouse fibroblasts. We further demonstrate that kinetic models of signaling networks, trained on a sufficient diversity of quantitative data, can be reasonably comprehensive, accurate, and predictive in the dynamical sense.

[1]  C. Der,et al.  Signaling Interplay in Ras Superfamily Function , 2005, Current Biology.

[2]  Jeffrey A. Engelman,et al.  Targeting PI3K signalling in cancer: opportunities, challenges and limitations , 2009, Nature Reviews Cancer.

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

[4]  N. Hynes,et al.  Negative Modulation of Membrane Localization of the Raf-1 Protein Kinase by Hyperphosphorylation* , 1997, The Journal of Biological Chemistry.

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

[6]  W. Kolch,et al.  Regulation and Role of Raf-1/B-Raf Heterodimerization , 2006, Molecular and Cellular Biology.

[7]  Prahlad T. Ram,et al.  MAP Kinase Phosphatase As a Locus of Flexibility in a Mitogen-Activated Protein Kinase Signaling Network , 2002, Science.

[8]  宁北芳,et al.  疟原虫var基因转换速率变化导致抗原变异[英]/Paul H, Robert P, Christodoulou Z, et al//Proc Natl Acad Sci U S A , 2005 .

[9]  O. Rath,et al.  MAP kinase signalling pathways in cancer , 2007, Oncogene.

[10]  Ming Zhou,et al.  Regulation of Raf-1 by direct feedback phosphorylation. , 2005, Molecular cell.

[11]  Haluk Resat,et al.  Rapid and sustained nuclear–cytoplasmic ERK oscillations induced by epidermal growth factor , 2009, Molecular systems biology.

[12]  D. Lauffenburger,et al.  Proliferative Response of Fibroblasts Expressing Internalization‐Deficient Epidermal Growth Factor (EGF) Receptors Is Altered via Differential EGF Depletion Effect , 1994, Biotechnology progress.

[13]  J. Pouysségur,et al.  The ERK1/2 mitogen-activated protein kinase pathway as a master regulator of the G1- to S-phase transition , 2007, Oncogene.

[14]  W. Gardner,et al.  Carcinogenesis , 1961, The Yale Journal of Biology and Medicine.

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

[16]  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.

[17]  A. Cherniack,et al.  Role of the Raf/Mitogen-activated Protein Kinase Pathway in p21ras Desensitization* , 1996, The Journal of Biological Chemistry.

[18]  Jason M Haugh,et al.  Mechanisms of Gradient Sensing and Chemotaxis: Conserved Pathways, Diverse Regulation , 2006, Cell cycle.

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

[20]  J. Segall,et al.  The great escape: when cancer cells hijack the genes for chemotaxis and motility. , 2005, Annual review of cell and developmental biology.

[21]  Pamela K. Kreeger,et al.  Cancer systems biology: a network modeling perspective , 2009, Carcinogenesis.

[22]  Ravi Iyengar Why We Need Quantitative Dynamic Models , 2009, Science Signaling.

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

[24]  A. Levchenko,et al.  Models of eukaryotic gradient sensing: application to chemotaxis of amoebae and neutrophils. , 2001, Biophysical journal.

[25]  Jason M Haugh,et al.  Quantitative model of Ras-phosphoinositide 3-kinase signalling cross-talk based on co-operative molecular assembly. , 2006, The Biochemical journal.

[26]  Jason M. Haugh,et al.  Quantitative elucidation of a distinct spatial gradient-sensing mechanism in fibroblasts , 2005, The Journal of cell biology.

[27]  U. Alon,et al.  Robustness in bacterial chemotaxis , 2022 .

[28]  D. Morrison,et al.  Integrating signals from RTKs to ERK/MAPK , 2007, Oncogene.

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

[30]  H. Wiley,et al.  Relationship between epidermal growth factor receptor occupancy and mitogenic response. Quantitative analysis using a steady state model system. , 1984, The Journal of biological chemistry.

[31]  C. Stiles,et al.  Induction of DNA synthesis in BALB/c 3T3 cells by serum components: reevaluation of the commitment process. , 1977, Proceedings of the National Academy of Sciences of the United States of America.

[32]  Benjamin L Turner,et al.  Supporting Online Material Materials and Methods Som Text Figs. S1 to S3 Table S1 References Robust, Tunable Biological Oscillations from Interlinked Positive and Negative Feedback Loops , 2022 .

[33]  H. Westerhoff,et al.  Recurrent design patterns in the feedback regulation of the mammalian signalling network , 2008, Molecular systems biology.

[34]  R. Ross,et al.  Role of serum components in density-dependent inhibition of growth of cells in culture. Platelet-derived growth factor is the major serum determinant of saturation density , 1980, The Journal of cell biology.

[35]  D. Tuveson,et al.  C-Raf inhibits MAPK activation and transformation by B-Raf(V600E). , 2009, Molecular cell.

[36]  Chang Shin Park,et al.  Kinetic Analysis of Platelet-derived Growth Factor Receptor/Phosphoinositide 3-Kinase/Akt Signaling in Fibroblasts* , 2003, Journal of Biological Chemistry.

[37]  A. Mogilner,et al.  Quantitative modeling in cell biology: what is it good for? , 2006, Developmental cell.

[38]  S. Keyse,et al.  Differential regulation of MAP kinase signalling by dual-specificity protein phosphatases , 2007, Oncogene.

[39]  A. Whitmarsh Regulation of gene transcription by mitogen-activated protein kinase signaling pathways. , 2007, Biochimica et biophysica acta.

[40]  D. Morrison,et al.  Impact of Feedback Phosphorylation and Raf Heterodimerization on Normal and Mutant B-Raf Signaling , 2009, Molecular and Cellular Biology.

[41]  C. Heldin,et al.  Negative and Positive Regulation of MAPK Phosphatase 3 Controls Platelet-derived Growth Factor-induced Erk Activation* , 2009, Journal of Biological Chemistry.

[42]  D. Lauffenburger,et al.  Input–output behavior of ErbB signaling pathways as revealed by a mass action model trained against dynamic data , 2009, Molecular systems biology.

[43]  B. Cuevas,et al.  Role of mitogen-activated protein kinase kinase kinases in signal integration , 2007, Oncogene.

[44]  V. Hu The Cell Cycle , 1994, GWUMC Department of Biochemistry Annual Spring Symposia.

[45]  J. Haugh,et al.  PI3K-dependent cross-talk interactions converge with Ras as quantifiable inputs integrated by Erk , 2009, Molecular systems biology.

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

[47]  J. Tyson,et al.  Design principles of biochemical oscillators , 2008, Nature Reviews Molecular Cell Biology.

[48]  J. Doyle,et al.  Robust perfect adaptation in bacterial chemotaxis through integral feedback control. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[49]  Nan Hao,et al.  Dose-to-Duration Encoding and Signaling beyond Saturation in Intracellular Signaling Networks , 2008, PLoS Comput. Biol..

[50]  A Goldbeter,et al.  A mechanism for exact sensory adaptation based on receptor modification. , 1986, Journal of Theoretical Biology.

[51]  Jason M Haugh,et al.  Spatial analysis of 3' phosphoinositide signaling in living fibroblasts: II. Parameter estimates for individual cells from experiments. , 2004, Biophysical journal.

[52]  D. Lauffenburger,et al.  Receptor‐mediated effects on ligand availability influence relative mitogenic potencies of epidermal growth factor and transforming growth factor α , 1996, Journal of cellular physiology.

[53]  K. Guan,et al.  Desensitization of Ras Activation by a Feedback Disassociation of the SOS-Grb2 Complex (*) , 1995, The Journal of Biological Chemistry.

[54]  R. Rosenfeld Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.

[55]  Kwang-Hyun Cho,et al.  Positive- and negative-feedback regulations coordinate the dynamic behavior of the Ras-Raf-MEK-ERK signal transduction pathway , 2009, Journal of Cell Science.

[56]  Chao Zhang,et al.  RAF inhibitors transactivate RAF dimers and ERK signaling in cells with wild-type BRAF , 2010, Nature.

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

[58]  C. Parent,et al.  A cell's sense of direction. , 1999, Science.

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