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Cited by 496

The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.

Dynamical behaviour of biological regulatory networks—I. Biological role of feedback loops and practical use of the concept of the loop-characteristic state

Thomas, René, Thieffry, Denis, Kaufman, Marcelle·1995·Bulletin of Mathematical Biology
DOI 10.1007/bf02460618
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Citations

Cites

Research works printed but not linked: 31

  1. 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
  2. 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
  3. 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
  4. 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.
  5. Glass, L. 1975. Combinatorial and topological methods in nonlinear chemical kinetics.J. Chem. Phys. 63, 1325–1335. · DOI · Paper page
  6. Glass, L. and J. S. Pasternak. 1978. Prediction of limit cycles in mathematical models of biological oscillations.Bull. math. Biol. 40, 27–44. · DOI
  7. Golbeter, A. 1990.Rythmes et Chaos dans les Systèmes Biochimiques et Cellulaires. Paris: Masson.
  8. Kauffman, S. A. 1969. Metabolic stability and epigenesis in randomly constructed genetic nets.J. theor. Biol. 22, 437–467. · DOI · Paper page
  9. 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
  10. 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.
  11. 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.
  12. May, R. M. 1973.Stability and Complexity in Model Ecosystems. Princeton, NJ: Princeton University Press.
  13. 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.
  14. Quirk, J. and R. Ruppert. 1965. Qualitative economics and the stability of equilibrium.Rev. Econ. Studies 32, 311–326. · DOI · Paper page
  15. Rosen, R. 1968. Recent developments in the theory of control and regulation of cellular processes.Int. Rev. Cytology 23, 25–88. · DOI
  16. Snoussi, E. H. 1989. Qualitative dynamics of piece-linear differential equations: a discrete mapping approach.Dyn. Stability Syst 4, 189–207.
  17. 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
  18. 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.
  19. 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.
  20. 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.
  21. Thomas, R. 1973. Boolean formalization of genetic control circuits.J. theor. Biol. 42, 563–585. · DOI · Paper page
  22. Thomas, R. 1978. Logical analysis of systems comprising feedback loops.J. theor. Biol. 73, 631–656. · DOI · Paper page
  23. Thomas, R. (Ed.) 1979. Kinetic logic: a Boolean approach to the analysis of complex regulatory systems.Lect. Notes Biomath.29, 507. · DOI
  24. 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
  25. 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.
  26. Thomas, R. 1991. Regulatory networks seen as asynchronous automata: a logical description.J. theor. Biol. 153, 1–23. · DOI · Paper page
  27. 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
  28. Thomas, R. and R. D'Ari. 1990.Biological Feedback. Boca Raton, Florida: CRC Press.
  29. 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
  30. Tyson, J. 1975. Classification of instabilities in chemical reaction systems.J. Chem. Phys. 62, 1010–1015. · DOI
  31. Van Ham, P. 1979. How to deal with more than two levels.Lect. Notes Biomath 29, 326–343. · DOI

Cited by

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Metadata

Authors
Thomas, R., Thieffry, D., & Kaufman, M.
Venue
Bulletin of Mathematical Biology
Publisher
Springer Science and Business Media LLC
Published
1995-03
Volume
57
Issue
2
Pages
247-276
ISSN
  • 0092-8240 (ISSN-L)
  • 1522-9602
DOI
10.1007/bf02460618
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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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.