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Optimal Design of Single-Cell Experiments within Temporally Fluctuating Environments

View ORCID ProfileZachary R Fox, View ORCID ProfileGregor Neuert, View ORCID ProfileBrian Munsky
doi: https://doi.org/10.1101/812479
Zachary R Fox
1Inria Saclay Ile-de-France, Palaiseau 91120, France
2Institut Pasteur, USR 3756 IP CNRS Paris, 75015, France
3School of Biomedical Engineering, Colorado State University Fort Collins, CO 80523, USA and
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  • For correspondence: zachrfox@gmail.com
Gregor Neuert
4Department of Molecular Physiology and Biophysics, School of Medicine, Vanderbilt University, Nashville, TN 37232, USA
5Department of Biomedical Engineering, School of Engineering, Vanderbilt University, Nashville, TN 37232, USA
6Department of Pharmacology, School of Medicine, Vanderbilt University, Nashville, TN 37232, USA and
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  • For correspondence: gregor.neuert@vanderbilt.edu
Brian Munsky
7Department of Chemical and Biological Engineering, Colorado State University Fort Collins, CO 80523, USA
8School of Biomedical Engineering, Colorado State University Fort Collins, CO 80523, USA and
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  • For correspondence: munsky@colostate.edu brian.munsky@colostate.edu
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Abstract

Modern biological experiments are becoming increasingly complex, and designing these experiments to yield the greatest possible quantitative insight is an open challenge. Increasingly, computational models of complex stochastic biological systems are being used to understand and predict biological behaviors or to infer biological parameters. Such quantitative analyses can also help to improve experiment designs for particular goals, such as to learn more about specific model mechanisms or to reduce prediction errors in certain situations. A classic approach to experiment design is to use the Fisher information matrix (FIM), which quantifies the expected information a particular experiment will reveal about model parameters. The Finite State Projection based FIM (FSP-FIM) was recently developed to compute the FIM for discrete stochastic gene regulatory systems, whose complex response distributions do not satisfy standard assumptions of Gaussian variations. In this work, we develop the FSP-FIM analysis for a stochastic model of stress response genes in S. cerevisae under time-varying MAPK induction. We validate this FSP-FIM analysis and use it to optimize the number of cells that should be quantified at particular times to learn as much as possible about the model parameters. We then demonstrate how the FSP-FIM approach can be extended to explore how different measurement times or genetic modifications can help to minimize uncertainty in the sensing of extracellular environments, such as external salinity modulations. This work demonstrates the potential of quantitative models to not only make sense of modern biological data sets, but to close the loop between quantitative modeling and experimental data collection.

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Posted October 21, 2019.
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Optimal Design of Single-Cell Experiments within Temporally Fluctuating Environments
Zachary R Fox, Gregor Neuert, Brian Munsky
bioRxiv 812479; doi: https://doi.org/10.1101/812479
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Optimal Design of Single-Cell Experiments within Temporally Fluctuating Environments
Zachary R Fox, Gregor Neuert, Brian Munsky
bioRxiv 812479; doi: https://doi.org/10.1101/812479

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