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Joint Distribution of Protein Concentration and Cell Volume Coupled by Feedback in Dilution

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Computational Methods in Systems Biology (CMSB 2023)

Part of the book series: Lecture Notes in Computer Science ((LNBI,volume 14137))

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Abstract

We consider a protein that negatively regulates the rate with which a cell grows. Since less growth means less protein dilution, this mechanism forms a positive feedback loop on the protein concentration. We couple the feedback model with a simple description of the cell cycle, in which a division event is triggered when the cell volume reaches a critical threshold. Following the division we either track only one of the daughter cells (single cell framework) or both cells (population framework). For both frameworks, we find an exact time-independent distribution of protein concentration and cell volume. We explore the consequences of dilution feedback on ergodicity, population growth rate, and the bias of the population distribution towards faster growing cells with less protein.

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Acknowledgements

PB was supported by the Slovak Research and Development Agency under contract no. APVV-18-0308, and VEGA grants 1/0339/21 and 1/0755/22.

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Authors and Affiliations

  1. Comenius University, Bratislava, 84248, Slovakia

    Iryna Zabaikina & Pavol Bokes

  2. University of Delaware, Newark, DE, 19716, USA

    Abhyudai Singh

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  1. Iryna Zabaikina
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  2. Pavol Bokes
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  3. Abhyudai Singh
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Correspondence to Iryna Zabaikina .

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  1. University of Luxembourg, Esch-sur-Alzette, Luxembourg

    Jun Pang

  2. Inria Lille, Villeneuve d’Ascq, France

    Joachim Niehren

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Zabaikina, I., Bokes, P., Singh, A. (2023). Joint Distribution of Protein Concentration and Cell Volume Coupled by Feedback in Dilution. In: Pang, J., Niehren, J. (eds) Computational Methods in Systems Biology. CMSB 2023. Lecture Notes in Computer Science(), vol 14137. Springer, Cham. https://doi.org/10.1007/978-3-031-42697-1_17

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  • DOI: https://doi.org/10.1007/978-3-031-42697-1_17

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