Quantitative analysis of robustness of dynamic response and signal transfer in insulin mediated PI3K/AKT pathway

Robustness is a critical feature of signaling pathways ensuring signal propagation with high fidelity in the event of perturbations. Here we present a detailed quantitative analysis of robustness in insulin mediated PI3K/AKT pathway, a critical signaling pathway maintaining self-renewal in human embryonic stem cells. Using global sensitivity analysis, we identified robustness promoting mechanisms that ensure (1) maintenance of a first order or overshoot dynamics of self-renewal molecule, p-AKT and (2) robust transfer of signals from oscillatory insulin stimulus to p-AKT in the presence of noise. Our results indicate that negative feedback controls the robustness to most perturbations. Faithful transfer of signal from the stimulating ligand to p-AKT occurs even in the presence of noise, albeit with signal attenuation and high frequency cut-off. Negative feedback contributes to signal attenuation, while positive regulators upstream of PIP3 contribute to signal amplification. These results establish precise mechanisms to modulate self-renewal molecules like p-AKT.

[1]  John Doyle,et al.  Contrasting Views of Complexity and Their Implications For Network-Centric Infrastructures , 2010, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[2]  Francis J. Doyle,et al.  Systems Analysis of the Insulin Signaling Pathway , 2008 .

[3]  T. Ludwig,et al.  Defined, feeder-independent medium for human embryonic stem cell culture. , 2007, Current protocols in stem cell biology.

[4]  David E. James,et al.  Amplification and Demultiplexing in Insulin-regulated Akt Protein Kinase Pathway in Adipocytes* , 2011, The Journal of Biological Chemistry.

[5]  Toshiyuki Fukada,et al.  A genomic perspective on protein tyrosine phosphatases: gene structure, pseudogenes, and genetic disease linkage , 2004, FASEB journal : official publication of the Federation of American Societies for Experimental Biology.

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

[7]  Piet Van Mieghem,et al.  Topology of molecular interaction networks , 2013, BMC Systems Biology.

[8]  François Fages,et al.  A general computational method for robustness analysis with applications to synthetic gene networks , 2009, Bioinform..

[9]  Alexander Hoffmann,et al.  Understanding the temporal codes of intra-cellular signals. , 2010, Current opinion in genetics & development.

[10]  Jack Xin,et al.  A Critical Quantity for Noise Attenuation in Feedback Systems , 2010, PLoS Comput. Biol..

[11]  S. Dalton Signaling networks in human pluripotent stem cells. , 2013, Current opinion in cell biology.

[12]  L. Serrano,et al.  Engineering Signal Transduction Pathways , 2010, Cell.

[13]  Francis J. Doyle,et al.  Robust multi‐drug therapy design and application to insulin resistance in type 2 diabetes , 2011 .

[14]  T. Henzinger,et al.  Executable cell biology , 2007, Nature Biotechnology.

[15]  David R. Croucher,et al.  Signalling by protein phosphatases and drug development: a systems‐centred view , 2012, The FEBS journal.

[16]  David M Reynolds,et al.  Signaling network crosstalk in human pluripotent cells: a Smad2/3-regulated switch that controls the balance between self-renewal and differentiation. , 2012, Cell stem cell.

[17]  Sean C. Bendall,et al.  IGF and FGF cooperatively establish the regulatory stem cell niche of pluripotent human cells in vitro , 2007, Nature.

[18]  V. Kiselyov,et al.  Harmonic oscillator model of the insulin and IGF1 receptors' allosteric binding and activation , 2009, Molecular systems biology.

[19]  I. Amit,et al.  Derivation of novel human ground state naive pluripotent stem cells , 2013, Nature.

[20]  Hiroaki Kitano,et al.  Violations of robustness trade-offs , 2010, Molecular systems biology.

[21]  P. Cahan,et al.  Origins and implications of pluripotent stem cell variability and heterogeneity , 2013, Nature Reviews Molecular Cell Biology.

[22]  Jackelyn A. Alva,et al.  EMBRYONIC STEM CELLS / INDUCED PLURIPOTENT STEM CELLS Phosphatase and Tensin Homolog Regulates the Pluripotent State and Lineage Fate Choice in Human Embryonic Stem Cells , 2011 .

[23]  E. Kroon,et al.  Production of pancreatic hormone–expressing endocrine cells from human embryonic stem cells , 2006, Nature Biotechnology.

[24]  Shinsuke Uda,et al.  Sensitivity control through attenuation of signal transfer efficiency by negative regulation of cellular signalling , 2012, Nature Communications.

[25]  Hiroyuki Kubota,et al.  Decoupling of Receptor and Downstream Signals in the Akt Pathway by Its Low-Pass Filter Characteristics , 2010, Science Signaling.

[26]  Daryl P. Shanley,et al.  Computational modelling of the regulation of Insulin signalling by oxidative stress , 2013, BMC Systems Biology.

[27]  Sheng Ding,et al.  Chemical approaches to stem cell biology and therapeutics. , 2013, Cell stem cell.

[28]  M. Siegal,et al.  Robustness: mechanisms and consequences. , 2009, Trends in genetics : TIG.

[29]  Lopamudra Giri,et al.  A steady state analysis indicates that negative feedback regulation of PTP1B by Akt elicits bistability in insulin-stimulated GLUT4 translocation , 2004, Theoretical Biology and Medical Modelling.

[30]  J. Thomson,et al.  Embryonic stem cell lines derived from human blastocysts. , 1998, Science.

[31]  Nils Blüthgen,et al.  Robustness of signal transduction pathways , 2012, Cellular and Molecular Life Sciences.

[32]  Herschel Rabitz,et al.  General formulation of HDMR component functions with independent and correlated variables , 2011, Journal of Mathematical Chemistry.

[33]  Thomas F. Edgar,et al.  Process Dynamics and Control , 1989 .

[34]  Hiroaki Kitano,et al.  Biological robustness , 2008, Nature Reviews Genetics.

[35]  A. Sherman,et al.  A mathematical model of metabolic insulin signaling pathways. , 2002, American journal of physiology. Endocrinology and metabolism.

[36]  Shinya Kuroda,et al.  Temporal coding of insulin action through multiplexing of the AKT pathway. , 2012, Molecular cell.

[37]  H. Kleinman,et al.  Matrigel: basement membrane matrix with biological activity. , 2005, Seminars in cancer biology.

[38]  Zhon-Yin Zhang,et al.  Functional studies of protein tyrosine phosphatases with chemical approaches. , 2005, Biochimica et biophysica acta.

[39]  Pablo A. Iglesias,et al.  Quantifying robustness of biochemical network models , 2002, BMC Bioinformatics.

[40]  Alexander Hoffmann,et al.  The Dynamics of Signaling as a Pharmacological Target , 2013, Cell.

[41]  James Michael Whitacre,et al.  Biological Robustness: Paradigms, Mechanisms, and Systems Principles , 2012, Front. Gene..

[42]  J. Stelling,et al.  Robustness of Cellular Functions , 2004, Cell.

[43]  Robert Lanza,et al.  Efficient Differentiation of Functional Hepatocytes from Human Embryonic Stem Cells , 2008, Stem cells.

[44]  Tianhai Tian,et al.  Robustness Analysis of the PI3K/AKT Cell Signaling Module , 2013 .

[45]  Li Zhang,et al.  Analysis of alternative signaling pathways of endoderm induction of human embryonic stem cells identifies context specific differences , 2012, BMC Systems Biology.

[46]  N. Socci,et al.  High-throughput screening assay for the identification of compounds regulating self-renewal and differentiation in human embryonic stem cells. , 2008, Cell stem cell.

[47]  Yoram Vodovotz,et al.  Global sensitivity analysis of a mathematical model of acute inflammation identifies nonlinear dependence of cumulative tissue damage on host interleukin-6 responses. , 2014, Journal of theoretical biology.

[48]  Kazuyuki Aihara,et al.  Modeling Biomolecular Networks in Cells , 2010 .

[49]  I. Sobola,et al.  Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates , 2001 .

[50]  Nilay Shah,et al.  Comparison of Monte Carlo and Quasi Monte Carlo Sampling Methods in High Dimensional Model Representation , 2009, 2009 First International Conference on Advances in System Simulation.

[51]  Andre Terzic,et al.  Stem Cell Platforms for Regenerative Medicine , 2009, Clinical and translational science.

[52]  F. Allgöwer,et al.  Robustness properties of apoptosis models with respect to parameter variations and intrinsic noise. , 2005, Systems biology.

[53]  Ipsita Banerjee,et al.  Regulatory interactions maintaining self-renewal of human embryonic stem cells as revealed through a systems analysis of PI3K/AKT pathway , 2014, Bioinform..

[54]  Gordon Keller,et al.  Differentiation of Embryonic Stem Cells to Clinically Relevant Populations: Lessons from Embryonic Development , 2008, Cell.

[55]  George C. Verghese,et al.  Operating Regimes of Signaling Cycles: Statics, Dynamics, and Noise Filtering , 2007, PLoS Comput. Biol..

[56]  Hyunggee Kim,et al.  Optimal Suppression of Protein Phosphatase 2A Activity Is Critical for Maintenance of Human Embryonic Stem Cell Self‐Renewal , 2010, Stem cells.

[57]  Francis J. Doyle,et al.  Modelling of Detailed Insulin Receptor Kinetics Affects Sensitivity and Noise in the Downstream Signalling Pathway , 2010 .

[58]  J. Doyle,et al.  Reverse Engineering of Biological Complexity , 2002, Science.

[59]  Xiangdong Wu,et al.  Hydrogen Peroxide Generated during Cellular Insulin Stimulation Is Integral to Activation of the Distal Insulin Signaling Cascade in 3T3-L1 Adipocytes* , 2001, The Journal of Biological Chemistry.

[60]  H. Kitano Towards a theory of biological robustness , 2007, Molecular systems biology.

[61]  Marc Hafner,et al.  Efficient characterization of high-dimensional parameter spaces for systems biology , 2011, BMC Systems Biology.

[62]  Herschel Rabitz,et al.  Sixth International Conference on Sensitivity Analysis of Model Output Global Sensitivity Analysis for Systems with Independent and / or Correlated Inputs , 2013 .

[63]  Jie Wu,et al.  Targeting protein tyrosine phosphatases for anticancer drug discovery. , 2010, Current pharmaceutical design.

[64]  Sheng Ding,et al.  Long-term self-renewal and directed differentiation of human embryonic stem cells in chemically defined conditions. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

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