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Mammalian Circadian Clock contains Repressilator J. Patrick Pett, Anja Korenˇciˇcand Hanspeter Herzel Institute for Theoretical Biology, HU Berlin, FU Berlin Motivation A) Model of known regulations The circadian clock controls daily rhythms in a large activatory inhibitory A mathematical model was created [4] that repre- fraction of species, including mammals. This endoge- sents all regulations debated in the literature and in- nous timing system has evolved throughout evolution Bmal1 Bmal1 cludes a multitude of additional feedbacks. to adopt to the 24h period of the solar day. Generating Dbp circadian rhythms involves transcriptional feedback Rev-erb-α Rev−erb-α includes Bmal1 as a driver of E-box mediated Per2 loops over cis-regulatory elements such as E-boxes, Cry1 transcription, Per2 and Cry1 as early and late E- D-boxes, and ROR-elements(RREs). box targets respectively, the D-box regulator Dbp 3 and the nuclear receptor Rev-Erba. We address the following questions: Cry1 2.5 2 1.5 based on experimentally verified regulatory Dbp Which feedback loops can 1 interactions, degradation rates and post- 0.5 generate sustained rhythms? [a.u.] Expression Gene transcriptional delays; unknown parameters Per2 0 12 24 36 48 60 Circadian Time [h] describing transcriptional regulation have been Are regulations via PER/CRY fitted to qPCR data. or REV-ERB more essential? Can previously unknown loops be detected? B) Extracting essential regulations The mathematical model was analyzed by examining all possible sub-networks, clamping a combination of → the 17 regulations to their mean values. This leads to 131072 different sub-networks. Conclusion 50% Dbp Bmal1 50% 50% In our data-driven model, a subsequent inhibi- 52% tion of the repressors Per2, Cry1 and Rev-erba is 50% most essential for sustained oscillations. 52% 52% Further analyses of the model confirmed that 54% this repressilator is the responsible source of rhythms under the chosen settings. 49% Cry1 It turns out, that the Repressilator includes the 100% 97% genes whose knockouts lead to arrhythmicity [1, 52% 52% 7, 9] and its expected phase ordering fits with 48% 49% recent expression data [8]. 50% Per2 Rev-erb-α 99% It turns out that 14125 sub-networks are oscillating with a 24h period. Of these networks, 97% contain a motif called "repressilator" in the literature, highlighted in the figure. The network containing only the isolated Repressilator is still able to generate sustained oscillations alone. Additional data Network topology 23 0 1 liver 22 2 21 3 23 0 1 22 2 20 4 Gene ● 21 3 Bmal1 ● 19 ● 5 20 4 ● Rev-erb-α Bmal1 + Dbp ● 19 5 18 ● 6 ● Figure 1: Knockouts of Repressilator elements leading to ● Per2 ● ● ● ● ● ● ● 18 6 17 ● 7 ● Cry1 ●● arrhythmicity. 17 7 16 ● 8 ● ● ● ● 15 9 16 8 ● ●● ● ● ●● ● ● ● 14 10 15 9 13 11 12 14 10 skeletal muscle brown adipose lung 13 12 11 white adipose 0 0 23 1 23 0 1 23 0 1 23 1 22 2 22 2 22 2 22 2 The repressilator combines elements of cur- 21 3 21 3 21 3 21 3 20 4 20 4 20 4 20 4 Rev-erb-α rently debated loops—PER/CRY autoregula- 19 5 19 5 19 5 19 5 18 6 18 6 18 6 18 6 Bmal1 tion and Rev-erb–Bmal1 feedback—reassigning 17 7 17 7 17 7 17 7 Dbp Bmal1 + Dbp 16 8 16 8 16 8 16 8 importances to core clock regulations 15 9 15 9 15 9 15 9 14 10 14 10 14 10 14 10 13 11 13 11 12 13 12 11 13 12 11 12 heart aorta adrenal gland kidney Interestingly, the motif has already been intro- 23 0 1 23 0 1 23 0 1 23 0 1 22 2 22 2 22 2 22 2 21 3 21 3 21 3 21 3 duced as a paradigm of synthetic oscillators [2], 20 4 20 4 20 4 20 4 Per2 Cry1 19 5 showing its capability of generating oscillations 19 5 19 5 19 5 Dbp 18 6 18 6 18 6 18 6 even under evolutionarily untuned conditions. 17 7 17 7 17 7 17 7 16 8 16 8 16 8 16 8 Dbp Dbp It was also mentioned by [6] in the context of 15 9 15 9 15 9 15 9 14 10 14 10 14 10 14 10 13 11 13 11 13 11 13 11 mammalian- and by [5, 3] in plant circadian 12 12 12 12 rhythms. Recent experimental data of several tissues [8] The repressilator is coherent with a large number shows phase ordering consistent with the repres- of links via additional regulators and connects al- silator mechanism most all negative feedback loops References [1] Han Cho et al. Regulation of circadian behaviour and metabolism by REV-ERBα and REV-ERBβ . Nature, 485: [6] Maki Ukai-Tadenuma et al. Delay in feedback repression by cryptochrome 1 is required for circadian clock func- 123–127, 2012. tion. Cell, 144:268–281, 2011. [2] Michael B Elowitz and Stanislas Leibler. A synthetic oscillatory network of transcriptional regulators. Nature, [7] Gijsbertus T J van der Horst et al. Mammalian Cry1 and Cry2 are essential for maintenance of circadian rhythms. 403:335–338, 2000. Nature, 398:627–630, 1999. [3] Mathias Foo et al. Kernel architecture of the genetic circuitry of the arabidopsis circadian system. PLoS Comput [8] Ray Zhang, Nicholas F. Lahens, Heather I. Ballance, Michael E. Hughes, and John B. Hogenesch. A circadian gene Biol, 12:e1004748, 2016. expression atlas in mammals: implications for biology and medicine. Proc Natl Acad Sci U S A, 111:16219–16224, [4] Anja Korenˇciˇcet al. Timing of circadian genes in mammalian tissues. Scientific reports, 4:5782, 2014. 2014. [5] Alexandra Pokhilko et al. The clock gene circuit in arabidopsis includes a repressilator with additional feedback [9] Binhai Zheng et al. Nonredundant roles of the mPer1 and mPer2 genes in the mammalian circadian clock. Cell, loops. Molecular systems biology, 8:574, 2012. 105:683–694, 2001. 187-P-S Modelling Networks and Circuits Poster presented at: ICSB2016 Patrick Pett DOI: 10.3252/pso.eu.17ICSB.2016.