2016
DOI: 10.1371/journal.pcbi.1004741
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Non-monotonic Response to Monotonic Stimulus: Regulation of Glyoxylate Shunt Gene-Expression Dynamics in Mycobacterium tuberculosis

Abstract: Understanding how dynamical responses of biological networks are constrained by underlying network topology is one of the fundamental goals of systems biology. Here we employ monotone systems theory to formulate a theorem stating necessary conditions for non-monotonic time-response of a biochemical network to a monotonic stimulus. We apply this theorem to analyze the non-monotonic dynamics of the σB-regulated glyoxylate shunt gene expression in Mycobacterium tuberculosis cells exposed to hypoxia. We first demo… Show more

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Cited by 18 publications
(15 citation statements)
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“…The argument does not work for x 9 due to a negative feedback loop between x 6 and x 7 (a directed path that goes around this loop will have the opposite parity from the path that does not). These results play a useful role in ruling out putative biological pathways, as illustrated next (see [14] for more details).…”
Section: B Monotonicitymentioning
confidence: 86%
See 2 more Smart Citations
“…The argument does not work for x 9 due to a negative feedback loop between x 6 and x 7 (a directed path that goes around this loop will have the opposite parity from the path that does not). These results play a useful role in ruling out putative biological pathways, as illustrated next (see [14] for more details).…”
Section: B Monotonicitymentioning
confidence: 86%
“…The following Theorem and proof are from [14], and heavily rely upon an earlier version of the result given in [11].…”
Section: B Monotonicitymentioning
confidence: 99%
See 1 more Smart Citation
“…Second, I1-FFLs are proven mechanisms for non-monotonic time-responses in transcription networks that mediate trade-offs in metabolism (Weickert and Adhya, 1993;Kaplan et al, 2008;Ascensao et al, 2016). For example, an I1-FFL was shown to regulate the non-monotonic target gene responses of galactose metabolism so that when cells are severely starved for glucose, galactose breakdown is reduced, and galactose is redirected toward cell wall synthesis (Weickert and Adhya, 1993).…”
Section: Physiological Relevance Of Fflsmentioning
confidence: 99%
“…"dynamic phenotypes") can provide further insight into the structure of biological systems. Recent examples include scale invariance or "fold-change detection" [10,11,12], non-monotonic behavior under monotonic inputs [13], refractory period stabilization [14], and non-entrained solutions or "period skipping" when stimulii are periodic [14].…”
Section: Introductionmentioning
confidence: 99%