Modular analysis of two cyclic biological circuits: Technical report
نویسندگان
چکیده
We conduct a formal analysis of two biological network circuits, that come about from the cyclic interconnection of motifs that commonly recur in biology. Specifically, we first analyze a generalized version of the gene regulatory network known as the ”repressilator”, which is the interconnection of an arbitrary number of transcriptional regulators connected in feedback. We further analyze an enzymatic covalent modification network, which consists of an arbitrary number of enzyme-substrate motifs connected in feedback. A key technical tool used to obtain these results is the representation of these motifs as modules that are functionally isolated from each other, so that the behavior of the composite network of two or more modules can be predicted from the input-output characteristics of each individual module. We demonstrate that the stable parameter regions of the repressilator tend to shrink as we add more transcriptional regulators. We further demonstrate that enzyme and substrate concentrations in covalent modification networks will always completely degrade, regardless of the network parameters and its size.
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