microRNAs (miRNAs) repress their target mRNAs, and transcripts that share a miRNA can indirectly regulate one another by competing for miRNA binding — the competing endogenous RNA (ceRNA) effect. A stochastic model of two ceRNAs co-regulated by one miRNA and encoding interacting proteins (Martirosyan et al., 2017) predicted that ceRNA competition (i) stabilizes protein levels across the full range of gene expression rates and (ii) reverses the sign of the correlation between co-regulated interacting proteins from negative to positive, but only within a narrow near-equimolar 'susceptible' parameter window. Whether physiological molecular abundances and kinetic parameters actually populate that window across cell types and conditions — and hence whether protein-level ceRNA effects are quantitatively significant in vivo — remains unresolved, together with the predicted evolutionary tuning of kinetic heterogeneities, direct perturbation-based experimental tests of the correlation signature, and the extension beyond the single-miRNA, two-ceRNA setting to network scale.
Background
Animal microRNAs (miRNAs) are short non-coding RNAs that guide the Argonaute-containing silencing complex to partially complementary sites (miRNA response elements) in target mRNAs, repressing their translation and promoting their decay. Because a single miRNA can bind many transcripts, its targets compete for a shared pool: increasing the level of one target (a 'competitor') sequesters miRNA molecules and thereby derepresses other targets. This indirect cross-regulation defines competing endogenous RNAs (ceRNAs) and was proposed as a broad post-transcriptional regulatory language (Salmena et al., 2011). Quantitative theory of small-RNA titration (Figliuzzi et al., 2013; Martirosyan et al., 2016) shows that effective ceRNA crosstalk requires the total target abundance to be close to the miRNA abundance — the near-equimolar regime, called the 'susceptible' regime — where miRNA-mediated control is most sensitive. Whether endogenous transcripts ever reach this regime has been the crux of a decade-long debate: Denzler et al. (2014, 2016) and Bosson et al. (2014) measured endogenous miRNA and target concentrations and concluded that, for most miRNA families, targets are far too scarce to deplete miRNAs, so ceRNA regulation should be negligible in standard physiological conditions; in vivo support exists mainly for specific cases such as PTEN ceRNAs in a BRAF-driven melanoma model (Karreth et al., 2011). Separately, miRNAs were shown to buffer protein-expression noise for lowly expressed genes (Schmiedel et al., 2015). Martirosyan, De Martino, Pagnani and Marinari (2017) connected these threads with a stochastic model of two ceRNAs (a target mRNA and a competitor mRNA ) regulated by one shared miRNA, whose proteins and reversibly form a complex ; the model distinguishes catalytic decay of the miRNA–ceRNA complex (miRNA recycled after target cleavage, rate ) from stoichiometric decay (miRNA consumed with the target, rate ). By Gillespie simulation (an exact stochastic simulation algorithm that samples individual reaction events of a chemical reaction network) and mean-field analysis they found that (i) competition can stabilize protein levels across the full range of synthesis rates, with kinetic heterogeneities enhancing the effect, (ii) the correlation between and — negative without shared miRNA regulation, because complex formation depletes both partners — can reverse sign and become positive under ceRNA crosstalk, but only in a narrow window around the quasi-equimolar (susceptible) regime, and (iii) the channel capacity (the maximum mutual information between the input synthesis rate and the output complex level) is modulated, generically increasing, with stronger competition. They proposed that a positive Pearson correlation between the co-regulated subunits of a protein complex may provide, 'for a limited but significant set of cases', the simple and direct proof of active ceRNA crosstalk in standard physiological conditions 'that has been so far lacking', and that for the experimentally observed positive correlations between regulated complex subunits 'kinetic parameters could be globally tuned by evolution so as to fit this narrow window' — a suggestion, not an established result.
Problem Statement
Determine, quantitatively and in vivo, whether miRNA-mediated ceRNA competition significantly shapes protein levels and protein-protein covariation under physiological conditions. Specifically: (1) how broadly do physiological molecular abundances (miRNA, target, competitor) and kinetic parameters — miRNA-ceRNA binding/unbinding rates, catalytic versus stoichiometric decay rates of the miRNA-ceRNA complex, and relative synthesis/decay rates — populate the narrow quasi-equimolar 'susceptible' window in which ceRNA crosstalk and the sign reversal of protein-protein correlations occur, across cell types and conditions; (2) are the kinetic heterogeneities of miRNA-ceRNA networks evolutionarily tuned so as to produce the parameter combinations required for positive protein-protein correlations or enhanced channel capacity of complex synthesis, as speculated by Martirosyan et al. (2017); (3) do the reported perturbation-based in vivo studies of shared-miRNA target pairs, together with measured miRNA, target and competitor abundances and kinetic parameters, exhibit the model's predicted signatures (positive Pearson correlation between interacting partners under shared miRNA regulation, competitor derepression magnitude, and changes in channel capacity) under physiological regulatory complexity; and (4) how do network-level topology and multiple co-expressed miRNAs modify the single-miRNA, two-ceRNA conclusions? These four issues share one scientific objective: establishing the in vivo prevalence and quantitative significance of protein-level ceRNA effects, with the model of Martirosyan et al. (2017) and its successors as the quantitative framework being tested and extended. The standing of these items is declared as follows: (1) and (2) are to be answered quantitatively from existing abundance, kinetic and expression data; (3) is an assessment of the existing in vivo perturbation literature, not a demand for new measurements; and (4) is to be addressed qualitatively as an extension of the single-miRNA, two-ceRNA conclusions; answering all four at these respective levels constitutes a resolution, whereas answering any one in isolation does not.
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