mass action rate law for second order forward, first order reverse, reversible reactions, two reactants, continuous scheme
This model is from the article: A systems biology approach to model neural stem cell regulation by notch, shh, wnt, and EGF signaling pathways. Sivakumar KC, Dhanesh SB, Shobana S, James J, Mundayoor S. OMICS 2011 Oct;15(10):729-37. 21978399 , Abstract: The Notch, Sonic Hedgehog (Shh), Wnt, and EGF pathways have long been known to in fluence cell fate specification in the developing nervous system. Here we attempt ed to evaluate the contemporary knowledge about neural stem cell differentiation promoted by various drug-based regulations through a systems biology approach. Ou r model showed the phenomenon of DAPT-mediated antagonism of Enhancer of split [E (spl)] genes and enhancement of Shh target genes by a SAG agonist that were effec tively demonstrated computationally and were consistent with experimental studies . However, in the case of model simulation of Wnt and EGF pathways, the model net work did not supply any concurrent results with experimental data despite the fac t that drugs were added at the appropriate positions. This paves insight into the potential of crosstalks between pathways considered in our study. Therefore, we manually developed a map of signaling crosstalk, which included the species conne cted by representatives from Notch, Shh, Wnt, and EGF pathways and highlighted th e regulation of a single target gene, Hes-1, based on drug-induced simulations. T hese simulations provided results that matched with experimental studies. Therefo re, these signaling crosstalk models complement as a tool toward the discovery of novel regulatory processes involved in neural stem cell maintenance, proliferati on, and differentiation during mammalian central nervous system development. To o ur knowledge, this is the first report of a simple crosstalk map that highlights the differential regulation of neural stem cell differentiation and underscores t he flow of positive and negative regulatory signals modulated by drugs.
mass action rate law for first order forward, first order reverse, reversible reactions, continuous scheme
reversible rapid-equilibrium random order ternary-complex mechanism with one product
kinetics of non-modulated unireactant enzymes
reversible thermodynamically independent convenience kinetics