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In this paper we study the error rate of RNA synthesis in the look-ahead model for the
random walk of RNA polymerase along DNA during transcription. The model’s central
assumption is the existence of a in which
ribonucleoside triphosphates (rNTPs) bind reversibly to the template DNA strand before
being hydrolyzed and linked covalently to the nascent RNA chain. An unknown, but
important, integer parameter of this model is the window size . Here, we
...
We analyze a stochastic neuronal network model which corresponds to an all-to-all network
of discretized integrate-and-fire neurons where the synapses are failure-prone. This
network exhibits different phases of behavior corresponding to synchrony and asynchrony,
and we show that this is due to the limiting mean-field system possessing multiple
attractors. We also show that this mean-field limit exhibits a first-order phase
transition as a function...
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