Computational methodologies for modelling, analysis and simulation of signalling networks

This article is a critical review of computational techniques used to model, analyse and simulate signalling networks. We propose a conceptual framework, and discuss the role of signalling networks in three major areas: signal transduction, cellular rhythms and cell-to-cell communication. In order to avoid an overly abstract and general discussion, we focus on three case studies in the areas of receptor signalling and kinase cascades, cell-cycle regulation and wound healing. We report on a variety of modelling techniques and associated tools, in addition to the traditional approach based on ordinary differential equations (ODEs), which provide a range of descriptive and analytical powers. As the field matures, we expect a wider uptake of these alternative approaches for several reasons, including the need to take into account low protein copy numbers and noise and the great complexity of cellular organisation. An advantage offered by many of these alternative techniques, which have their origins in computing science, is the ability to perform sophisticated model analysis which can better relate predicted behaviour and observations.

[1]  Peter Tang,et al.  Dynamic cellular automata : an alternative approach to cellular simulation , 2007 .

[2]  Chitta Baral,et al.  A knowledge based approach for representing and reasoning about signaling networks , 2004, ISMB/ECCB.

[3]  Stephen Gilmore,et al.  The PEPA Workbench: A Tool to Support a Process Algebra-based Approach to Performance Modelling , 1994, Computer Performance Evaluation.

[4]  Edgar Wingender,et al.  TRANSPATH: An integrated database on signal transduction and a tool for array analysis , 2003, Nucleic Acids Res..

[5]  J. Hopfield,et al.  From molecular to modular cell biology , 1999, Nature.

[6]  Lan V. Zhang,et al.  Evidence for dynamically organized modularity in the yeast protein–protein interaction network , 2004, Nature.

[7]  D. Noble Modeling the Heart--from Genes to Cells to the Whole Organ , 2002, Science.

[8]  Sheila MacNeil,et al.  Modeling the effect of exogenous calcium on keratinocyte and HaCat cell proliferation and differentiation using an agent-based computational paradigm. , 2006, Tissue engineering.

[9]  J. Tyson Modeling the cell division cycle: cdc2 and cyclin interactions. , 1991, Proceedings of the National Academy of Sciences of the United States of America.

[10]  Andrea Ciliberto,et al.  A kinetic model of the cyclin E/Cdk2 developmental timer in Xenopus laevis embryos. , 2003, Biophysical chemistry.

[11]  Kwang-Hyun Cho,et al.  Mathematical Modeling of the Influence of RKIP on the ERK Signaling Pathway , 2003, CMSB.

[12]  E. W. Jacobsen,et al.  Linear systems approach to analysis of complex dynamic behaviours in biochemical networks. , 2004, Systems biology.

[13]  Zhilin Qu,et al.  Hysteresis and cell cycle transitions: how crucial is it? , 2005, Biophysical journal.

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

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

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

[17]  Sunwon Park,et al.  Knowledge representation model for systems-level analysis of signal transduction networks. , 2004, Genome informatics. International Conference on Genome Informatics.

[18]  Jacky L. Snoep,et al.  BioModels Database: a free, centralized database of curated, published, quantitative kinetic models of biochemical and cellular systems , 2005, Nucleic Acids Res..

[19]  W. R. Burack,et al.  The activating dual phosphorylation of MAPK by MEK is nonprocessive. , 1997, Biochemistry.

[20]  Werner Dubitzky,et al.  Mathematical models of cell cycle regulation , 2005, Briefings Bioinform..

[21]  Nicolas Le Novère,et al.  STOCHSIM: modelling of stochastic biomolecular processes , 2001, Bioinform..

[22]  Yu Zong Chen,et al.  KDBI: Kinetic Data of Bio-molecular Interactions database , 2003, Nucleic Acids Res..

[23]  Gordon Broderick,et al.  A life-like virtual cell membrane using discrete automata , 2004, Silico Biol..

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

[25]  Gregory Bock,et al.  'In silico' simulation of biological processes , 2002 .

[26]  A. Arkin,et al.  It's a noisy business! Genetic regulation at the nanomolar scale. , 1999, Trends in genetics : TIG.

[27]  N.,et al.  AMAZE : A DATABASE OF MOLECULAR FUNCTION , INTERACTIONS AND BIOCHEMICAL PROCESSES , 2003 .

[28]  D. Fell,et al.  Using a mammalian cell cycle simulation to interpret differential kinase inhibition in anti-tumour pharmaceutical development. , 2006, Bio Systems.

[29]  A. Hodgkin,et al.  A quantitative description of membrane current and its application to conduction and excitation in nerve , 1990 .

[30]  J J Mandel,et al.  Modelling codependence in biological systems. , 2007, IET systems biology.

[31]  Mudita Singhal,et al.  COPASI - a COmplex PAthway SImulator , 2006, Bioinform..

[32]  J. Tyson,et al.  The dynamics of cell cycle regulation. , 2002, BioEssays : news and reviews in molecular, cellular and developmental biology.

[33]  P. Lazarovici,et al.  Signaling Pathways for PC12 Cell Differentiation: Making the Right Connections , 2002, Science.

[34]  H. Wiley,et al.  An integrated model of epidermal growth factor receptor trafficking and signal transduction. , 2003, Biophysical journal.

[35]  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.

[36]  A Goldbeter,et al.  A minimal cascade model for the mitotic oscillator involving cyclin and cdc2 kinase. , 1991, Proceedings of the National Academy of Sciences of the United States of America.

[37]  S. Leibler,et al.  Mechanisms of noise-resistance in genetic oscillators , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[38]  S. Gilmore,et al.  Automatically deriving ODEs from process algebra models of signalling pathways , 2005 .

[39]  Jay D Keasling,et al.  A three-dimensional, stochastic simulation of biofilm growth and transport-related factors that affect structure. , 2003, Microbiology.

[40]  Pedro Mendes,et al.  GEPASI: a software package for modelling the dynamics, steady states and control of biochemical and other systems , 1993, Comput. Appl. Biosci..

[41]  E. Lattman In Silico , 2003, Proteins.

[42]  J. Southgate,et al.  Agent-based computational modeling of wounded epithelial cell monolayers , 2004, IEEE Transactions on NanoBioscience.

[43]  E. J. Doedel,et al.  AUTO: a program for the automatic bifurcation analysis of autonomous systems , 1980 .

[44]  Oliver E. Sturm,et al.  Computational modelling of the receptor-tyrosine-kinase-activated MAPK pathway. , 2005, The Biochemical journal.

[45]  R. Iyengar,et al.  Modeling cell signaling networks. , 2004, Biology of the cell.

[46]  Bernd Grahlmann,et al.  The PEP Tool , 1997, CAV.

[47]  James E. Ferrell,et al.  Mechanistic Studies of the Dual Phosphorylation of Mitogen-activated Protein Kinase* , 1997, The Journal of Biological Chemistry.

[48]  N. Rashevsky,et al.  Mathematical biology , 1961, Connecticut medicine.

[49]  E Alvarez-Lacalle,et al.  Molecular model of the contractile ring. , 2005, Physical review letters.

[50]  Stephen Gilmore,et al.  Modelling the Influence of RKIP on the ERK Signalling Pathway Using the Stochastic Process Algebra PEPA , 2006, Trans. Comp. Sys. Biology.

[51]  K Zygourakis,et al.  A cellular automaton model for the proliferation of migrating contact-inhibited cells. , 1995, Biophysical journal.

[52]  中尾 光輝,et al.  KEGG(Kyoto Encyclopedia of Genes and Genomes)〔和文〕 (特集 ゲノム医学の現在と未来--基礎と臨床) -- (データベース) , 2000 .

[53]  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.

[54]  Werner Dubitzky,et al.  Representing bioinformatics causality , 2004, Briefings Bioinform..

[55]  D. Schomburg,et al.  BRENDA: a resource for enzyme data and metabolic information. , 2002, Trends in biochemical sciences.

[56]  Hiroaki Kitano,et al.  Next generation simulation tools: the Systems Biology Workbench and BioSPICE integration. , 2003, Omics : a journal of integrative biology.

[57]  Masaru Tomita,et al.  A multi-algorithm, multi-timescale method for cell simulation , 2004, Bioinform..

[58]  M. Holcombe,et al.  The epitheliome: agent-based modelling of the social behaviour of cells. , 2004, Bio Systems.

[59]  E. Gilles,et al.  Computational modeling of the dynamics of the MAP kinase cascade activated by surface and internalized EGF receptors , 2002, Nature Biotechnology.

[60]  J. Lambert Numerical Methods for Ordinary Differential Equations , 1991 .

[61]  Gerhard Weiss,et al.  Multiagent systems: a modern approach to distributed artificial intelligence , 1999 .

[62]  Mike Holcombe,et al.  The Epitheliome Project: multiscale agent-based modeling of epithelial cells , 2006, 3rd IEEE International Symposium on Biomedical Imaging: Nano to Macro, 2006..

[63]  Marta Z. Kwiatkowska,et al.  Probabilistic symbolic model checking with PRISM: a hybrid approach , 2004, International Journal on Software Tools for Technology Transfer.

[64]  P. Nurse A Long Twentieth Century of the Cell Cycle and Beyond , 2000, Cell.

[65]  Monika Heiner,et al.  From Petri Nets to Differential Equations - An Integrative Approach for Biochemical Network Analysis , 2006, ICATPN.

[66]  O Wolkenhauer,et al.  Deterministic modelling and stochastic simulation of biochemical pathways using MATLAB. , 2006, Systems biology.

[67]  Andrew W. Murray,et al.  The Ups and Downs of Modeling the Cell Cycle , 2004, Current Biology.

[68]  François Fages,et al.  BIOCHAM: an environment for modeling biological systems and formalizing experimental knowledge , 2006, Bioinform..

[69]  Luca Cardelli,et al.  A Graphical Representation for the Stochastic Pi-calculus , 2005 .

[70]  D. Gillespie Exact Stochastic Simulation of Coupled Chemical Reactions , 1977 .

[71]  Werner Dubitzky,et al.  Bistable switching and excitable behaviour in the activation of Src at mitosis , 2006, ISMB.

[72]  Masaru Tomita,et al.  E-CELL: software environment for whole-cell simulation , 1999, Bioinform..

[73]  L. Loew,et al.  The Virtual Cell: a software environment for computational cell biology. , 2001, Trends in biotechnology.

[74]  David R. Gilbert,et al.  Analysis of Signalling Pathways Using Continuous Time Markov Chains , 2006, Trans. Comp. Sys. Biology.

[75]  Upinder S. Bhalla,et al.  The Database of Quantitative Cellular Signaling: management and analysis of chemical kinetic models of signaling networks , 2003, Bioinform..

[76]  Hiroaki Kitano,et al.  The systems biology markup language (SBML): a medium for representation and exchange of biochemical network models , 2003, Bioinform..

[77]  Kyriacos Zygourakis,et al.  Cell population dynamics modulate the rates of tissue growth processes. , 2006, Biophysical journal.

[78]  Jörn Freiheit,et al.  Petri Net Modelling and Performability Evaluation with TimeNET 3.0 , 2000, Computer Performance Evaluation / TOOLS.

[79]  Yukiko Matsuoka,et al.  Using process diagrams for the graphical representation of biological networks , 2005, Nature Biotechnology.

[80]  Olli Yli-Harja,et al.  Simulation tools for biochemical networks: evaluation of performance and usability , 2005, Bioinform..

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