
@article {92877,
	title = {A tale of two rhythms: Locked clocks and chaos in biology.},
	journal = {Cell Syst},
	volume = {12},
	year = {2021},
	month = {2021 Apr 21},
	pages = {291-303},
	abstract = {<p>The fundamental mechanisms that control and regulate biological organisms exhibit a surprising level of complexity. Oscillators are perhaps the simplest motifs that produce time-varying dynamics and are ubiquitous in biological systems. It is also known that such biological oscillators interact with each other-for instance, circadian oscillators affect the cell cycle, and somitogenesis clock proteins in adjacent cells affect each other in developing embryos. Therefore, it is vital to understand the effects that can emerge from non-linear interaction between oscillations. Here, we show how oscillations typically arise in biology and take the reader on a tour through the great variety in dynamics that can emerge even from a single pair of coupled oscillators. We explain how chaotic dynamics can emerge and outline the methods of detecting this in experimental time traces. Finally, we discuss the potential role of such complex dynamical features in biological systems.</p>
},
	issn = {2405-4720},
	doi = {10.1016/j.cels.2021.03.003},
	author = {Heltberg, Mathias L and Krishna, Sandeep and Kadanoff, Leo P and Jensen, Mogens H}
}
@article {50999,
	title = {On chaotic dynamics in transcription factors and the associated effects in differential gene regulation.},
	journal = {Nat Commun},
	volume = {10},
	year = {2019},
	month = {2019 01 08},
	pages = {71},
	abstract = {<p>The control of proteins by a transcription factor with periodically varying concentration exhibits intriguing dynamical behaviour. Even though it is accepted that transcription factors vary their dynamics in response to different situations, insight into how this affects downstream genes is lacking. Here, we investigate how oscillations and chaotic dynamics in the transcription factor NF-κB can affect downstream protein production. We describe how it is possible to control the effective dynamics of the transcription factor by stimulating it with an oscillating ligand. We find that chaotic dynamics modulates gene expression and up-regulates certain families of low-affinity genes, even in the presence of extrinsic and intrinsic noise. Furthermore, this leads to an increase in the production of protein complexes and the efficiency of their assembly. Finally, we show how chaotic dynamics creates a heterogeneous population of cell states, and describe how this can be beneficial in multi-toxic environments.</p>
},
	issn = {2041-1723},
	doi = {10.1038/s41467-018-07932-1},
	author = {Heltberg, Mathias L and Krishna, Sandeep and Jensen, Mogens H}
}
