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Abstract
Background: In this work, we study two seemingly unrelated aspects of core genetic nonlinear dynamical control of the competence phenotype in Bacillus subtilis, a common Gram-positive bacterium living in the soil.
Methods: We focus on hitherto unchartered aspects of the dynamics by exploring the effect of time-scale separation between transcription and translation and, as well, the effect of intrinsic molecular stochasticity. We consider these aspects of regulatory control as two possible evolutionary handles.
Results: Hence, using theory and computations, we study how the onset of oscillations breaks the excitability-based competence phenotype in two topologically close evolutionary-competing circuits: the canonical “wild-type” regulation circuit selected by Evolution and the corresponding indirect-feedback inverted circuit that failed to be selected by Evolution, as was shown elsewhere, due to dynamical reasons.
Conclusions: Relying on in-silico perturbation of the living state, we show that the canonical core genetic regulation of excitability-based competence is more robust against switching to phenotype-breaking oscillations than the inverted feedback organism. We show how this is due to time-scale separation and stochasticity.
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Keywords
Bacillus subtilis
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competence
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gene regulation
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deterministic dynamics
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stochastic dynamics
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Lijie Hao, Zhuoqin Yang, Marc Turcotte.
Time-scale separation and stochasticity conspire to impact phenotypic dynamics in the canonical and inverted Bacillus subtilis core genetic regulation circuits.
Quant. Biol., 2019, 7(1): 54-68 DOI:10.1007/s40484-018-0151-8
| [1] |
Eldar, A. and Elowitz, M. B. (2010) Functional roles for noise in genetic circuits. Nature, 467, 167–173
|
| [2] |
Cağatay, T., Turcotte, M., Elowitz, M. B., Garcia-Ojalvo, J. and Süel, G. M. (2009) Architecture-dependent noise discriminates functionally analogous differentiation circuits. Cell, 139, 512–522
|
| [3] |
SchultzD., Ben Jacob E., OnuchicJ. N. and WolynesP. G. (2007) Molecular level stochastic model for competence cycles in Bacillus subtilis. Proc. Natl. Acad. Sci. USA., 104, 17582–17587
|
| [4] |
TurcotteM., Garcia-Ojalvo J. and SüelG. M. (2008) A genetic timer through noise-induced stabilization of an unstable state. Proc. Natl. Acad. Sci. USA, 105, 15732–15737.
|
| [5] |
SüelG. M., Garcia-Ojalvo J., LibermanL. M. and ElowitzM. B. (2006) An excitable gene regulatory circuit induces transient cellular differentiation. Nature, 440, 545–550.
|
| [6] |
SüelG. M., Kulkarni R. P., DworkinJ., Garcia-OjalvoJ. and ElowitzM. B. (2007) Tunability and noise dependence in differentiation dynamics. Science, 315, 1716–1719.
|
| [7] |
DubnauD. (1999) DNA uptake in bacteria. Annu. Rev. Microbiol., 53, 217–244.
|
| [8] |
GrossmanA. D. (1995) Genetic networks controlling the initiation of sporulation and the development of genetic competence in Bacillus subtilis. Annu. Rev. Genet., 29, 477–508.
|
| [9] |
DubnauD. (1991) Genetic competence in Bacillus subtilis. Microbiol. Rev ., 55,395
|
| [10] |
DubnauD. (1991) The regulation of genetic competence in Bacillus subtilis. Mol. Microbiol., 5, 11–18.
|
| [11] |
MaW., Trusina A., El-SamadH., LimW. A. and TangC. (2009) Defining network topologies that can achieve biochemical adaptation. Cell, 138, 760–773.
|
| [12] |
ZhangJ., Yuan Z., LiH. X. and ZhouT. (2010) Architecture-dependent robustness and bistability in a class of genetic circuits. Biophys. J., 99, 1034–1042.
|
| [13] |
LevyE. D. (2010) A simple definition of structural regions in proteins and its use in analyzing interface evolution. J. Mol. Biol., 403, 660–670.
|
| [14] |
KastritisP. L. and BonvinA. M. (2013) Molecular origins of binding affinity: seeking the Archimedean point. Curr. Opin. Struct. Biol., 23, 868–877.
|
| [15] |
KastritisP. L., Rodrigues J. P. G. L., Folkers G. E., BoelensR. and BonvinA. M. J. J. (2014) Proteins feel more than they see: fine-tuning of binding affinity by properties of the non-interacting surface. J. Mol. Biol., 426, 2632–2652.
|
| [16] |
RosanovaA., Colliva A., OsellaM. and CaselleM. (2017) Modelling the evolution of transcription factor binding preferences in complex eukaryotes. Sci. Rep., 7, 7596
|
| [17] |
EchaveJ. and Wilke C. O. (2017) Biophysical models of protein evolution: understanding the patterns of evolutionary sequence divergence. Annu. Rev. Biophys., 46, 85–103.
|
| [18] |
GillespieD. T. (1976) A general method for numerically simulating the stochastic time evolution of coupled chemical reactions. J. Comput. Phys., 22, 403–434.
|
| [19] |
GillespieD. T. (1977) Exact stochastic simulation of coupled chemical reactions. J. Phys. Chem., 81, 2340–2361.
|
| [20] |
GillespieD. T. (2001) Approximate accelerated stochastic simulation of chemically reacting systems. J. Chem. Phys., 115, 1716–1733.
|
| [21] |
GillespieD. T. (1976) A general method for numerically simulating the stochastic time evolution of coupled chemical reactions. J. Comput. Phys., 22, 403–434.
|
| [22] |
GillespieD. T. (1977) Exact stochastic simulation of coupled chemical reactions. J. Phys. Chem., 81, 2340–2361.
|
| [23] |
GillespieD. T. (1991) Markov Processes: An Introduction for Physical Scientists. Manhattan: Academic Press
|
| [24] |
GillespieD. T. (2007) Stochastic simulation of chemical kinetics. Annu. Rev. Phys. Chem., 58, 35–55.
|
| [25] |
DoedelE. J. (1986) AUTO: software for continuation and bifurcation problems in ordinary differential equations. California Institute of Technology, 12, 791–802
|
| [26] |
ErmentroutB. (2011) XPP-Aut
|
| [27] |
ConradE. D. (2011) Oscill8
|
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