We say that φ'(C) is unambiguous if it does not contain two regulation functions that regulate the same entity.
Using the regulator set and the regulation functions, BN2 in Figure 11 has been inferred with similarity ratio (R mdl) of 0.012 which is significantly lower than R max = 0.1558 generated using our approach.
After removing a gene that had no regulators, 14 entities remained, each associated with 1-3 regulation functions.
MDL approach gave the regulators for each gene and the conditional probability table from which the regulation functions are derived using the approach described in previous paragraph.
We found that early pupal genes expressed in association with proximal-distal wing pattern sections were enriched for morphogenesis and transcriptional regulation functions, which was consistent with our expectation of finding genes involved in regulating development.
Multiple time delays and multivariable regulation functions are usually inevitable in such GRNs.
Our multistability conditions are applicable to several frequently used regulation functions especially the multivariable ones.
The result showed that, of 23 landscape units, six units had relevance for habitat, information and regulation functions; five showed potential to perform production and regulation functions, one unit showed potential to perform habitat maintenance and information functions.
Therefore, QS systems and their regulation functions in bacteria have become hot topics in the fields of marine environment, aquaculture, medicine, and bioengineering.
Some new sufficient conditions are established for the existence and global exponential stability of a unique equilibrium without strict conditions imposed on self regulation functions.
Nucleic acids are biopolymers that carry genetic information and are also involved in various gene regulation functions such as gene silencing and protein translation.
