Abstract
We present a computational tool DSGRN for exploring network dynamics across the global parameter space for switching model representations of regulatory networks. This tool provides a finite partition of parameter space such that for each region in this partition a global description of the dynamical behavior of a network is given via a directed acyclic graph called a Morse graph. Using this method, parameter regimes or entire networks may be rejected as viable models for representing the underlying regulatory mechanisms.
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References
Goncalves, E., et al.: Bridging the layers: towards integration of signal transduction, regulation and metabolism into mathematical models. Mol. BioSyst. 9(7), 1576–1583 (2013)
Heatha, A., Kavria, L.: Computational challenges in Systems Biology. Comput. Sci. Rev. 3, 1–17 (2009)
Karlebach, G., Shamir, R.: Modelling and analysis of gene regulatory networks. Nature 9, 770–780 (2008)
Bornholt, S.: Boolean network models of cellular regulation: prospects and limitations. J. R. Soc. Interface 5, 134–150 (2008)
Saadatpour, A., Reka, A.: Boolean modeling of biological regulatory networks: A methodology tutorial. Methods 62, 3–12 (2013)
Thomas, R.: Regulatory networks seen as asynchronous automata: a logical description. J. Theor. Biol. 153, 1–23 (1991)
Tyson, J.J., Novak, B.: In: Dekker, A.M.W.V. (ed.) Handbook of Systems Biology. Academic Press, San Diego (2013)
Chen, K., et al.: Integrative analysis of cell cycle control in budding yeast. Mol. Biol. Cell 15, 3841–3862 (2004)
Conley, C.: Isolated Invariant Sets and the Morse Index. American Mathematical Society, Providence (1978). ISBN: 9780821888834
Mischaikow, K., Mrozek, M.: Handbook of dynamical systems, vol. 2, pp. 393–460. North-Holland, Amsterdam (2002). doi:10.1016/S1874-575X(02)80030-3. http://dx.doi.org.proxy.libraries.rutgers.edu/10.1016/S1874-575X(02)80030-3
Kalies, W.D., Mischaikow, K., VanderVorst, R.C.A.M.: An algorithmic approach to chain recurrence. Found. Comput. Math. 5, 409–449 (2005). ISSN: 1615–3375
Gedeon, T., Harker, S., Kokubu, H., Mischaikow, K., Oka, H.: Global dynamics for steep sigmoidal nonlinearities in two dimensions. Physica D 339, 18–38 (2017)
Streck, A., Lorenz, T., Siebert, H.: Minimization and equivalence in multi-valued logical models of regulatory networks. Natural Comput. 14, 555–566 (2015). ISSN: 1572–9796
Batt, G., Belta, C., Weiss, R.: Temporal logic analysis of gene networks under parameter uncertainty. IEEE Trans. Autom. Control 53, 215–229 (2008)
Bogomolov, S., Schilling, C., Bartocci, E., Batt, G., Kong, H., Grosu, R.: Abstraction-based parameter synthesis for multiaffine systems. In: Piterman, N. (ed.) HVC 2015. LNCS, vol. 9434, pp. 19–35. Springer, Cham (2015). doi:10.1007/978-3-319-26287-1_2. ISBN: 978-3-319-26287-1, http://dx.doi.org/10.1007/978-3-319-26287-1_2
Klarner, H., Streck, A., Šafránek, D., Kolčák, J., Siebert, H.: Parameter identification and model ranking of thomas networks. In: Gilbert, D., Heiner, M. (eds.) CMSB 2012. LNCS, pp. 207–226. Springer, Heidelberg (2012). doi:10.1007/978-3-642-33636-2_13
Chaouiya, C., Remy, E., Mossé, B., Thieffry, D.: Qualitative analysis of regulatory graphs: a computational tool based on a discrete formal framework. In: Benvenuti, L., De Santis, A., Farina, L. (eds.) Positive Systems, vol. 294. Springer, Heidelberg (2004). doi:10.1007/978-3-540-44928-7_17. http://dx.doi.org/10.1007/978-3-540-44928-7_17
Glass, L., Kauman, S.A.: Co-operative components, spatial localization and oscillatory cellular dynamics. J. Theor. Biol. 34, 219–237 (1972)
Glass, L., Kauman, S.A.: The logical analysis of continuous, non-linear biochemical control networks. J. Theor. Biol. 39, 103–29 (1973)
Cummins, B., Gedeon, T., Harker, S., Mischaikow, K., Mok, K.: Combinatorial representation of parameter space for switching systems. SIAM J. Appl. Dyn. Syst. 15, 2176–2212 (2016)
Orlando, D.A., et al.: Global control of cell-cycle transcription by coupled CDK and network oscillators. Nature 453, 944–947 (2008)
Harker, S.: Dynamic Signatures Generated by Regulatory Networks (2015). http://chomp.rutgers.edu/Projects/DSGRN/
Acknowledgment
The work of T. G. was partially supported by NSF grants DMS-1226213 DMS-1361240 and DARPA D12AP200025. B. C. was supported by DARPA D12AP200025. The work of S. H. and K. M. was partially supported by grants NSF-DMS-1125174, 1248071, 1521771 and a DARPA contract HR0011-16-2-0033.
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Cummins, B., Gedeon, T., Harker, S., Mischaikow, K. (2017). Database of Dynamic Signatures Generated by Regulatory Networks (DSGRN). In: Feret, J., Koeppl, H. (eds) Computational Methods in Systems Biology. CMSB 2017. Lecture Notes in Computer Science(), vol 10545. Springer, Cham. https://doi.org/10.1007/978-3-319-67471-1_19
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