A minimal mathematical model combining several regulatory cycles from the budding yeast cell cycle

IET Systems Biology
K SriramF Képès

Abstract

A novel topology of regulatory networks abstracted from the budding yeast cell cycle is studied by constructing a simple nonlinear model. A ternary positive feedback loop with only positive regulations is constructed with elements that activates the subsequent element in a clockwise fashion. A ternary negative feedback loop with only negative regulations is constructed with the elements that inhibit the subsequent element in an anticlockwise fashion. Positive feedback loop exhibits bistability, whereas the negative feedback loop exhibits limit cycle oscillations. The novelty of the topology is that the corresponding elements in these two homogeneous feedback loops are linked by the binary positive feedback loops with only positive regulations. This results in the emergence of mixed feedback loops in the network that displays complex behaviour like the coexistence of multiple steady states, relaxation oscillations and chaos. Importantly, the arrangement of the feedback loops brings in the notion of checkpoint in the model. The model also exhibits domino-like behaviour, where the limit cycle oscillations take place in a stepwise fashion. As the aforementioned topology is abstracted from the budding yeast cell cycle, the events th...Continue Reading

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Citations

Mar 10, 2009·Briefings in Bioinformatics·Attila Csikász-Nagy
Jun 3, 2011·Mathematical Biosciences and Engineering : MBE·Orit LaviYoram Louzoun
Jan 15, 2015·Journal of Bioinformatics and Computational Biology·Nimet İlke AkçayŞükrü Tüzmen

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