A systems- and signal-oriented approach to intracellular dynamics.

A mathematical understanding of regulation, and, in particular, the role of feedback, has been central to the advance of the physical sciences and technology. In this article, the framework provided by systems biology is used to argue that the same can be true for molecular biology. In particular, and using basic modular methods of mathematical modelling which are standard in control theory, a set of dynamic models is developed for some illustrative cell signalling processes. These models, supported by recent experimental evidence, are used to argue that a control theoretical approach to the mechanisms of feedback in intracellular signalling is central to furthering our understanding of molecular communication. As a specific example, a MAPK (mitogen-activated protein kinase) signalling pathway is used to show how potential feedback mechanisms in the signalling process can be investigated in a simulated environment. Such 'what if' modelling/simulation studies have been an integral part of physical science research for many years. Using tools of control systems analysis, as embodied in the disciplines of systems biology, similar predictive modelling/simulation studies are now bearing fruit in cell signalling research.

[1]  J. Keizer Biochemical Oscillations and Cellular Rhythms: The molecular bases of periodic and chaotic behaviour, by Albert Goldbeter , 1998 .

[2]  R. D. Bliss,et al.  Role of feedback inhibition in stabilizing the classical operon. , 1982, Journal of theoretical biology.

[3]  A. Cornish-Bowden Fundamentals of Enzyme Kinetics , 1979 .

[4]  J. Tyson Periodic enzyme synthesis and oscillatory repression: why is the period of oscillation close to the cell cycle time? , 1983, Journal of theoretical biology.

[5]  Hong Qian,et al.  Sensitivity and specificity amplification in signal transduction , 2003, Cell Biochemistry and Biophysics.

[6]  J. Griffith Mathematics of cellular control processes. II. Positive feedback to one gene. , 1968, Journal of theoretical biology.

[7]  Hidde de Jong,et al.  Modeling and Simulation of Genetic Regulatory Systems: A Literature Review , 2002, J. Comput. Biol..

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

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

[10]  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 .

[11]  J. Ferrell Tripping the switch fantastic: how a protein kinase cascade can convert graded inputs into switch-like outputs. , 1996, Trends in biochemical sciences.

[12]  W. Kolch Meaningful relationships: the regulation of the Ras/Raf/MEK/ERK pathway by protein interactions. , 2000, The Biochemical journal.

[13]  W. Kolch,et al.  Mechanism of Suppression of the Raf/MEK/Extracellular Signal-Regulated Kinase Pathway by the Raf Kinase Inhibitor Protein , 2000, Molecular and Cellular Biology.

[14]  P. Holmes,et al.  Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields , 1983, Applied Mathematical Sciences.

[15]  Ken Dutton,et al.  The art of control engineering , 1988 .

[16]  Reinhart Heinrich,et al.  Effect of cellular interaction on glycolytic oscillations in yeast: a theoretical investigation , 2000 .

[17]  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.

[18]  Mihajlo D. Mesarovic,et al.  Systems Theory and Biology , 1968 .

[19]  D. A. Baxter,et al.  Modeling transcriptional control in gene networks—methods, recent results, and future directions , 2000, Bulletin of mathematical biology.

[20]  M. Mesarovic,et al.  Search for organising principles: understanding in systems biology. , 2004, Systems biology.

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

[22]  H. Hirata,et al.  Oscillatory Expression of the bHLH Factor Hes1 Regulated by a Negative Feedback Loop , 2002, Science.

[23]  D. Lauffenburger,et al.  A Computational Study of Feedback Effects on Signal Dynamics in a Mitogen‐Activated Protein Kinase (MAPK) Pathway Model , 2001, Biotechnology progress.

[24]  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.

[25]  W. Kolch,et al.  Suppression of Raf-1 kinase activity and MAP kinase signalling by RKIP , 1999, Nature.

[26]  Mihajlo D. Mesarovic,et al.  Systems Theory and Biology­ View of a Theoretician * , 1968 .

[27]  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.

[28]  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.

[29]  Farren J. Isaacs,et al.  Computational studies of gene regulatory networks: in numero molecular biology , 2001, Nature Reviews Genetics.

[30]  Katherine C. Chen,et al.  Sniffers, buzzers, toggles and blinkers: dynamics of regulatory and signaling pathways in the cell. , 2003, Current opinion in cell biology.

[31]  S. Strogatz From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators , 2000 .

[32]  J. Timmer,et al.  Identification of nucleocytoplasmic cycling as a remote sensor in cellular signaling by databased modeling , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[33]  J. Tyson,et al.  Periodic enzyme synthesis: reconsideration of the theory of oscillatory repression. , 1979, Journal of theoretical biology.