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Qualitative Analysis of Mammalian Circadian Oscillations: Cycle Dynamics and Robustness
Abstract : In asynchronous Boolean models, periodic solutions are represented by terminal strongly connected graphs, which are typically composed of hundreds of states and transitions. For biological systems, it becomes a challenging task to compare such mathematical objects with biological knowledge, or interpret the transitions inside an attractor in terms of the sequence of events in a biological cycle. A recent methodology generates summary graphs to help visualizing complex asynchronous attractors and order the dynamic progression based on known biological data. In this article we apply this method to a Boolean model of the mammalian circadian clock, for which the summary graph recovers the main phases of the cycle, in the expected order. It also provides a detailed view of the attractor, suggesting improvements in the design of the model's logical rules and highlighting groups of transitions that are essential for the attractor's robustness.
https://hal.inria.fr/hal-03105583
Contributor : Jean-Luc Gouzé Connect in order to contact the contributor
Submitted on : Monday, January 11, 2021 - 10:51:21 AM
Last modification on : Friday, January 21, 2022 - 3:23:37 AM
Long-term archiving on: : Monday, April 12, 2021 - 6:38:32 PM
Contributor : Jean-Luc Gouzé Connect in order to contact the contributor
Submitted on : Monday, January 11, 2021 - 10:51:21 AM
Last modification on : Friday, January 21, 2022 - 3:23:37 AM
Long-term archiving on: : Monday, April 12, 2021 - 6:38:32 PM
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