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Dynamical behaviour of biological regulatory networks—I. Biological role of feedback loops and practical use of the concept of the loop-characteristic state
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Cites
The logical analysis of continuous, non-linear biochemical control networks
Glass, L., & Kauffman, S. A. (1973) · Journal of Theoretical Biology · doi:10.1016/0022-5193(73)90208-7 · Cited by 940
ENZYME INDUCTION AS AN ALL-OR-NONE PHENOMENON
Novick, A., & Weiner, M. (1957) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.43.7.553 · Cited by 891
Research works printed but not linked: 31
- Cohn, M. and K. Horibata. 1959. Inhibition by the glucose of the induced synthesis of the β-galactoside-enzyme system ofEscherichia coli—Analysis of maintenance.J. Bacteriol. 78, 601–612. · DOI
- Eisen, H., P. Brachet, L. Pereira da Silva and F. Jacob. 1970. Regulation of repressor expression in λ.Proc. natn. Acad. Sci. U.S.A. 66, 855–862. · DOI · Paper page
- Eisenfeld, J. 1987. Compatibility tests on immunological control loops.Ann. N.Y. Acad. Sci. 504, 132–150. · doi:10.1111/j.1749-6632.1987.tb48729.x
- Eisenfeld, J. and C. De Lisi (Eds). 1985. On conditions for qualitative instability of regulatory circuits with applications to immunological control loops. InMathematics and Computers in Biomathematical Applications, pp. 39–53. New York: Elsevier.
- Glass, L. 1975. Combinatorial and topological methods in nonlinear chemical kinetics.J. Chem. Phys. 63, 1325–1335. · DOI · Paper page
- Glass, L. and J. S. Pasternak. 1978. Prediction of limit cycles in mathematical models of biological oscillations.Bull. math. Biol. 40, 27–44. · DOI
- Golbeter, A. 1990.Rythmes et Chaos dans les Systèmes Biochimiques et Cellulaires. Paris: Masson.
- Kauffman, S. A. 1969. Metabolic stability and epigenesis in randomly constructed genetic nets.J. theor. Biol. 22, 437–467. · DOI · Paper page
- Kaufman, M. 1988. Role of multistability in an immune response model: a combined discrete and continuous approach. In:Theoretical Immunology, Part One, SFI Studies in the Sciences of Complexity, A. Perelson (Ed.), pp. 199–222. Redwood City, California. · doi:10.1201/9780429492709-12
- Levins, R. 1975. Evolution in communities near equilibrium. In.Ecology and Evolution of Communities, M. L. Cody and J. M. Diamond (Eds), pp. 16–50. Cambridge, MA: Harvard University Press.
- Lim, D. J., Oppenheim, T. Eckhardt and W. K. Maas. 1988. The unitary hypothesis for the repression mechanism of arginine biosynthesis inE. coli K12—revisited after 18 years. In:Gene Expression and Regulation: the Legacy of Luigi Gorini, Bissel, Deho, Sironi and Torriani (Eds.). New York: Excerpta Medica.
- May, R. M. 1973.Stability and Complexity in Model Ecosystems. Princeton, NJ: Princeton University Press.
- Plahte, E., T. Mestl and S. Omholt. 1995. Feedback loops, stability and multistationarity in dynamical system. In:Mathematics Applied to Biology and Medicine, J. Demongeot and P. Auger (Eds). Singapore: World Scientific. In press.
- Quirk, J. and R. Ruppert. 1965. Qualitative economics and the stability of equilibrium.Rev. Econ. Studies 32, 311–326. · DOI · Paper page
- Rosen, R. 1968. Recent developments in the theory of control and regulation of cellular processes.Int. Rev. Cytology 23, 25–88. · DOI
- Snoussi, E. H. 1989. Qualitative dynamics of piece-linear differential equations: a discrete mapping approach.Dyn. Stability Syst 4, 189–207.
- Snoussi, E. H. and R. Thomas. 1993. Logical identification of all steady states: the concept of feedback loop characteristic states.Bull. math. Biol. 55, 973–991. · DOI · Paper page
- Thieffry, D. L., M. Colet and R. Thomas. 1993. Formalization of regulatory networks: a logical method and its automatization.Math. Modelling and Sci. Computing 2, 144–151.
- Thieffry, D., E. Verdin and M. Colet. 1993. Regulation of HIV expression: a logical analysis. In:Mathematics Applied to Biology and Medicine, Demongeot and Capasso (Eds), pp. 291–304. Winnipeg, Canada: Wuerz Publishing Ltd.
- Thieffry, D., E. H. Snoussi, J. Richelle and R. Thomas 1995. Positive loops and differentiation. In:Mathematics Applied to Biology and Medicine. J. Demongeot and P. Auger (Eds). Singapore: World Scientific. In press.
- Thomas, R. 1973. Boolean formalization of genetic control circuits.J. theor. Biol. 42, 563–585. · DOI · Paper page
- Thomas, R. 1978. Logical analysis of systems comprising feedback loops.J. theor. Biol. 73, 631–656. · DOI · Paper page
- Thomas, R. (Ed.) 1979. Kinetic logic: a Boolean approach to the analysis of complex regulatory systems.Lect. Notes Biomath.29, 507. · DOI
- Thomas, R. 1981. On the relation between the logical structure of systems and their ability to generate multiple steady states or sustained oscillations. In:Numerical Methods in the Study of Critical Phenomena, Della Dora, Demongeot and Lacolle (Eds), pp. 180–193. Berlin: Springer Verlag. · DOI · Paper page
- Thomas, R. 1983. Logical vs continuous description of systems comprising feedback loops: the relation between time delays and parameters.Studies in Physical and Theoretical Chemistry 28, 307–321.
- Thomas, R. 1991. Regulatory networks seen as asynchronous automata: a logical description.J. theor. Biol. 153, 1–23. · DOI · Paper page
- Thomas, R. 1994. The role of feedback circuits: positive feedback circuits are a necessary condition for positive real eigenvalues of the Jacobian matrix.Ber. Besenges. Phys. Chem. 98, 1148–1151. · DOI
- Thomas, R. and R. D'Ari. 1990.Biological Feedback. Boca Raton, Florida: CRC Press.
- Tian, G., D. Lim, J. D. Oppenheim and W. K. Maas. 1994. Explanation for different types of regulation of arginine biosynthesis betweenEscherichia coli B andEscherichia coli K12 caused by a difference between their arginine repressors.J. Mol. Biol. 235, 221–231. · DOI
- Tyson, J. 1975. Classification of instabilities in chemical reaction systems.J. Chem. Phys. 62, 1010–1015. · DOI
- Van Ham, P. 1979. How to deal with more than two levels.Lect. Notes Biomath 29, 326–343. · DOI
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Modeling and Simulation of Genetic Regulatory Systems: A Literature Review
de Jong, H. (2002) · Journal of Computational Biology · doi:10.1089/10665270252833208 · Cited by 2,663
Structure and function of the feed-forward loop network motif
Mangan, S., & Alon, U. (2003) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2133841100 · Cited by 1,827
Mathematical Modeling of Gene Networks
Smolen, P., Baxter, D. A., & Byrne, J. H. (2000) · Neuron · doi:10.1016/s0896-6273(00)81194-0 · Cited by 454
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Chaouiya, C. (2007) · Briefings in Bioinformatics · doi:10.1093/bib/bbm029 · Cited by 388
Qualitative simulation of genetic regulatory networks using piecewise-linear models
DEJONG, H., GOUZE, J., HERNANDEZ, C., PAGE, M., SARI, T., & GEISELMANN, J. (2004) · Bulletin of Mathematical Biology · doi:10.1016/j.bulm.2003.08.010 · Cited by 386
Metadata
- Authors
- Thomas, R., Thieffry, D., & Kaufman, M.
- Venue
- Bulletin of Mathematical Biology
- Published
- 1995-03
- Volume
- 57
- Issue
- 2
- Pages
- 247-276
- ISSN
- 0092-8240 (ISSN-L)
- 1522-9602
- OpenAlex
- W2005486846
- Cited by
- 496
- References
- 2
- FWCI
- 1.42
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
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- Thomas, R., Thieffry, D., & Kaufman, M. (1995). Dynamical behaviour of biological regulatory networks—I. Biological role of feedback loops and practical use of the concept of the loop-characteristic state. Bulletin of Mathematical Biology. https://doi.org/10.1007/bf02460618
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