Abstract
Bimodal distributions of protein activities in signaling systems are often interpreted as indicators of underlying switch-like responses and bistable dynamics. We investigate the emergence of bimodal protein distributions by analyzing a less appreciated mechanism: oscillating signaling systems with varying amplitude, phase and frequency due to cell-to-cell variability. We support our analysis by analytical derivations for basic oscillators and numerical simulations of a signaling cascade, which displays sustained oscillations in protein activities. Importantly, we show that the time to reach the bimodal distribution depends on the magnitude of cell-to-cell variability. We quantify this time using the Kullback-Leibler divergence. The implications of our findings for single-cell experiments are discussed.
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Acar, M., Mettetal, J.T., van Oudenaarden, A.: Stochastic switching as a survival strategy in fluctuating environments. Nat. Genet. 40(4), 471–475 (2008)
Ackermann, M., Stecher, B., Freed, N.E., Songhet, P., Hardt, W.D., Doebeli, M.: Self-destructive cooperation mediated by phenotypic noise. Nature 454(7207), 987–990 (2008)
Blake, W.J., Balázsi, G., Kohanski, M.A., Isaacs, F.J., Murphy, K.F., Kuang, Y., Cantor, C.R., Walt, D.R., Collins, J.J.: Phenotypic consequences of promoter-mediated transcriptional noise. Molecular Cell 24(6), 853–865 (2006)
Das, M., Drake, T., Wiley, D.J., Buchwald, P., Vavylonis, D., Verde, F.: Oscillatory dynamics of Cdc42 GTPase in the control of polarized growth. Science 337(6091), 239–243 (2012)
Kuepfer, L., Peter, M., Sauer, U., Stelling, J.: Ensemble modeling for analysis of cell signaling dynamics. Nat. Biotechnol. 25(9), 1001–1006 (2007)
Miller, S., Childers, D.: Probability and Random Processes. With Applications to Signal Processing and Communications. Academic Press (January 2012)
Mirsky, H.P., Taylor, S.R., Harvey, R.A., Stelling, J., Doyle, F.J.: Distribution-based sensitivity metric for highly variable biochemical systems. IET Syst. Biol. 5(1), 50 (2011)
Niepel, M., Spencer, S.L., Sorger, P.K.: Non-genetic cell-to-cell variability and the consequences for pharmacology. Curr. Opin. Chem. Biol. 13(5-6), 556–561 (2009)
Ochab-Marcinek, A., Tabaka, M.: Bimodal gene expression in noncooperative regulatory systems. PNAS 107(51), 22096–22101 (2010)
Ogunnaike, B.A.: Elucidating the digital control mechanism for DNA damage repair with the p53-Mdm2 system: single cell data analysis and ensemble modelling. J. R. Soc. Interface 3(6), 175–184 (2006)
Samoilov, M., Plyasunov, S., Arkin, A.P.: Stochastic amplification and signaling in enzymatic futile cycles through noise-induced bistability with oscillations. PNAS 102(7), 2310–2315 (2005)
Schliemann, M., Bullinger, E., Borchers, S., Allgöwer, F., Findeisen, R., Scheurich, P.: Heterogeneity reduces sensitivity of cell death for TNF-stimuli. BMC Syst. Biol. 5, 204 (2011)
Shahrezaei, V., Swain, P.S.: Analytical distributions for stochastic gene expression. PNAS 105(45), 17256–17261 (2008)
Sigal, A., Milo, R., Cohen, A., Geva-Zatorsky, N., Klein, Y., Liron, Y., Rosenfeld, N., Danon, T., Perzov, N., Alon, U.: Variability and memory of protein levels in human cells. Nature 444(7119), 643–646 (2006)
Spencer, S.L., Gaudet, S., Albeck, J.G., Burke, J.M., Sorger, P.K.: Non-genetic origins of cell-to-cell variability in TRAIL-induced apoptosis. Nature 459(7245), 428–432 (2009)
Tsyganov, M.A., Kolch, W., Kholodenko, B.N.: The topology design principles that determine the spatiotemporal dynamics of G-protein cascades. Mol. Biosyst. 8(3), 730–743 (2012)
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Dobrzyński, M., Fey, D., Nguyen, L.K., Kholodenko, B.N. (2012). Bimodal Protein Distributions in Heterogeneous Oscillating Systems. In: Gilbert, D., Heiner, M. (eds) Computational Methods in Systems Biology. CMSB 2012. Lecture Notes in Computer Science(), vol 7605. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33636-2_3
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DOI: https://doi.org/10.1007/978-3-642-33636-2_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-33635-5
Online ISBN: 978-3-642-33636-2
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