%0 Journal Article %1 GLASS1973103 %A Glass, Leon %A Kauffman, Stuart A. %D 1973 %J Journal of Theoretical Biology %K boolean-networks classic %N 1 %P 103 - 129 %R https://doi.org/10.1016/0022-5193(73)90208-7 %T The logical analysis of continuous, non-linear biochemical control networks %U http://www.sciencedirect.com/science/article/pii/0022519373902087 %V 39 %X We propose a mapping to study the qualitative properties of continuous biochemical control networks which are invariant to the parameters used to describe the networks but depend only on the logical structure of the networks. For the networks, we are able to place a lower limit on the number of steady states and strong restrictions on the phase relations between components on cycles and transients. The logical structure and the dynamical behavior for a number of simple systems of biological interest, the feedback (predator-prey) oscillator, the bistable switch, the phase dependent switch, are discussed. We discuss the possibility that these techniques may be extended to study the dynamics of large many component systems.

@article{GLASS1973103, abstract = {We propose a mapping to study the qualitative properties of continuous biochemical control networks which are invariant to the parameters used to describe the networks but depend only on the logical structure of the networks. For the networks, we are able to place a lower limit on the number of steady states and strong restrictions on the phase relations between components on cycles and transients. The logical structure and the dynamical behavior for a number of simple systems of biological interest, the feedback (predator-prey) oscillator, the bistable switch, the phase dependent switch, are discussed. We discuss the possibility that these techniques may be extended to study the dynamics of large many component systems.}, added-at = {2019-08-22T07:41:58.000+0200}, author = {Glass, Leon and Kauffman, Stuart A.}, biburl = {https://www.bibsonomy.org/bibtex/2e7ddeb75e9ac6c6360ea49de7519011c/karthikraman}, description = {The logical analysis of continuous, non-linear biochemical control networks - ScienceDirect}, doi = {https://doi.org/10.1016/0022-5193(73)90208-7}, interhash = {d0e24a387cc1ead4402de3dd9c6ed155}, intrahash = {e7ddeb75e9ac6c6360ea49de7519011c}, issn = {0022-5193}, journal = {Journal of Theoretical Biology}, keywords = {boolean-networks classic}, number = 1, pages = {103 - 129}, timestamp = {2019-08-22T07:41:58.000+0200}, title = {The logical analysis of continuous, non-linear biochemical control networks}, url = {http://www.sciencedirect.com/science/article/pii/0022519373902087}, volume = 39, year = 1973 }