---
_id: '8155'
abstract:
- lang: eng
  text: "In the thesis we focus on the interplay of the biophysics and evolution of
    gene regulation. We start by addressing how the type of prokaryotic gene regulation
    – activation and repression – affects spurious binding to DNA, also known as\r\ntranscriptional
    crosstalk. We propose that regulatory interference caused by excess regulatory
    proteins in the dense cellular medium – global crosstalk – could be a factor in
    determining which type of gene regulatory network is evolutionarily preferred.
    Next,we use a normative approach in eukaryotic gene regulation to describe minimal\r\nnon-equilibrium
    enhancer models that optimize so-called regulatory phenotypes. We find a class
    of models that differ from standard thermodynamic equilibrium models by a single
    parameter that notably increases the regulatory performance. Next chapter addresses
    the question of genotype-phenotype-fitness maps of higher dimensional phenotypes.
    We show that our biophysically realistic approach allows us to understand how
    the mechanisms of promoter function constrain genotypephenotype maps, and how
    they affect the evolutionary trajectories of promoters.\r\nIn the last chapter
    we ask whether the intrinsic instability of gene duplication and amplification
    provides a generic alternative to canonical gene regulation. Using mathematical
    modeling, we show that amplifications can tune gene expression in many environments,
    including those where transcription factor-based schemes are\r\nhard to evolve
    or maintain. "
acknowledgement: For the duration of his PhD, Rok was a recipient of a DOC fellowship
  of the Austrian Academy of Sciences.
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Rok
  full_name: Grah, Rok
  id: 483E70DE-F248-11E8-B48F-1D18A9856A87
  last_name: Grah
  orcid: 0000-0003-2539-3560
citation:
  ama: Grah R. Gene regulation across scales – how biophysical constraints shape evolution.
    2020. doi:<a href="https://doi.org/10.15479/AT:ISTA:8155">10.15479/AT:ISTA:8155</a>
  apa: Grah, R. (2020). <i>Gene regulation across scales – how biophysical constraints
    shape evolution</i>. Institute of Science and Technology Austria. <a href="https://doi.org/10.15479/AT:ISTA:8155">https://doi.org/10.15479/AT:ISTA:8155</a>
  chicago: Grah, Rok. “Gene Regulation across Scales – How Biophysical Constraints
    Shape Evolution.” Institute of Science and Technology Austria, 2020. <a href="https://doi.org/10.15479/AT:ISTA:8155">https://doi.org/10.15479/AT:ISTA:8155</a>.
  ieee: R. Grah, “Gene regulation across scales – how biophysical constraints shape
    evolution,” Institute of Science and Technology Austria, 2020.
  ista: Grah R. 2020. Gene regulation across scales – how biophysical constraints
    shape evolution. Institute of Science and Technology Austria.
  mla: Grah, Rok. <i>Gene Regulation across Scales – How Biophysical Constraints Shape
    Evolution</i>. Institute of Science and Technology Austria, 2020, doi:<a href="https://doi.org/10.15479/AT:ISTA:8155">10.15479/AT:ISTA:8155</a>.
  short: R. Grah, Gene Regulation across Scales – How Biophysical Constraints Shape
    Evolution, Institute of Science and Technology Austria, 2020.
date_created: 2020-07-23T09:51:28Z
date_published: 2020-07-24T00:00:00Z
date_updated: 2023-09-07T13:13:27Z
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  name: Biophysically realistic genotype-phenotype maps for regulatory networks
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publication_status: published
publisher: Institute of Science and Technology Austria
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supervisor:
- first_name: Calin C
  full_name: Guet, Calin C
  id: 47F8433E-F248-11E8-B48F-1D18A9856A87
  last_name: Guet
  orcid: 0000-0001-6220-2052
- first_name: Gašper
  full_name: Tkačik, Gašper
  id: 3D494DCA-F248-11E8-B48F-1D18A9856A87
  last_name: Tkačik
  orcid: 0000-0002-6699-1455
title: Gene regulation across scales – how biophysical constraints shape evolution
type: dissertation
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
year: '2020'
...
---
_id: '9000'
abstract:
- lang: eng
  text: 'In prokaryotes, thermodynamic models of gene regulation provide a highly
    quantitative mapping from promoter sequences to gene-expression levels that is
    compatible with in vivo and in vitro biophysical measurements. Such concordance
    has not been achieved for models of enhancer function in eukaryotes. In equilibrium
    models, it is difficult to reconcile the reported short transcription factor (TF)
    residence times on the DNA with the high specificity of regulation. In nonequilibrium
    models, progress is difficult due to an explosion in the number of parameters.
    Here, we navigate this complexity by looking for minimal nonequilibrium enhancer
    models that yield desired regulatory phenotypes: low TF residence time, high specificity,
    and tunable cooperativity. We find that a single extra parameter, interpretable
    as the “linking rate,” by which bound TFs interact with Mediator components, enables
    our models to escape equilibrium bounds and access optimal regulatory phenotypes,
    while remaining consistent with the reported phenomenology and simple enough to
    be inferred from upcoming experiments. We further find that high specificity in
    nonequilibrium models is in a trade-off with gene-expression noise, predicting
    bursty dynamics—an experimentally observed hallmark of eukaryotic transcription.
    By drastically reducing the vast parameter space of nonequilibrium enhancer models
    to a much smaller subspace that optimally realizes biological function, we deliver
    a rich class of models that could be tractably inferred from data in the near
    future.'
acknowledgement: G.T. was supported by Human Frontiers Science Program Grant RGP0034/2018.
  R.G. was supported by the Austrian Academy of Sciences DOC Fellowship. R.G. thanks
  S. Avvakumov for helpful discussions.
article_processing_charge: No
article_type: original
author:
- first_name: Rok
  full_name: Grah, Rok
  id: 483E70DE-F248-11E8-B48F-1D18A9856A87
  last_name: Grah
  orcid: 0000-0003-2539-3560
- first_name: Benjamin
  full_name: Zoller, Benjamin
  last_name: Zoller
- first_name: Gašper
  full_name: Tkačik, Gašper
  id: 3D494DCA-F248-11E8-B48F-1D18A9856A87
  last_name: Tkačik
  orcid: 0000-0002-6699-1455
citation:
  ama: Grah R, Zoller B, Tkačik G. Nonequilibrium models of optimal enhancer function.
    <i>PNAS</i>. 2020;117(50):31614-31622. doi:<a href="https://doi.org/10.1073/pnas.2006731117">10.1073/pnas.2006731117</a>
  apa: Grah, R., Zoller, B., &#38; Tkačik, G. (2020). Nonequilibrium models of optimal
    enhancer function. <i>PNAS</i>. National Academy of Sciences. <a href="https://doi.org/10.1073/pnas.2006731117">https://doi.org/10.1073/pnas.2006731117</a>
  chicago: Grah, Rok, Benjamin Zoller, and Gašper Tkačik. “Nonequilibrium Models of
    Optimal Enhancer Function.” <i>PNAS</i>. National Academy of Sciences, 2020. <a
    href="https://doi.org/10.1073/pnas.2006731117">https://doi.org/10.1073/pnas.2006731117</a>.
  ieee: R. Grah, B. Zoller, and G. Tkačik, “Nonequilibrium models of optimal enhancer
    function,” <i>PNAS</i>, vol. 117, no. 50. National Academy of Sciences, pp. 31614–31622,
    2020.
  ista: Grah R, Zoller B, Tkačik G. 2020. Nonequilibrium models of optimal enhancer
    function. PNAS. 117(50), 31614–31622.
  mla: Grah, Rok, et al. “Nonequilibrium Models of Optimal Enhancer Function.” <i>PNAS</i>,
    vol. 117, no. 50, National Academy of Sciences, 2020, pp. 31614–22, doi:<a href="https://doi.org/10.1073/pnas.2006731117">10.1073/pnas.2006731117</a>.
  short: R. Grah, B. Zoller, G. Tkačik, PNAS 117 (2020) 31614–31622.
date_created: 2021-01-10T23:01:17Z
date_published: 2020-12-15T00:00:00Z
date_updated: 2023-08-24T11:10:22Z
day: '15'
ddc:
- '570'
department:
- _id: GaTk
doi: 10.1073/pnas.2006731117
external_id:
  isi:
  - '000600608300015'
  pmid:
  - '33268497'
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  date_updated: 2021-01-11T08:37:31Z
  file_id: '9004'
  file_name: 2020_PNAS_Grah.pdf
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issue: '50'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
page: 31614-31622
pmid: 1
project:
- _id: 2665AAFE-B435-11E9-9278-68D0E5697425
  grant_number: RGP0034/2018
  name: Can evolution minimize spurious signaling crosstalk to reach optimal performance?
- _id: 267C84F4-B435-11E9-9278-68D0E5697425
  name: Biophysically realistic genotype-phenotype maps for regulatory networks
publication: PNAS
publication_identifier:
  eissn:
  - '10916490'
  issn:
  - '00278424'
publication_status: published
publisher: National Academy of Sciences
quality_controlled: '1'
related_material:
  link:
  - description: News on IST Homepage
    relation: press_release
    url: https://ist.ac.at/en/news/new-compact-model-for-gene-regulation-in-higher-organisms/
scopus_import: '1'
status: public
title: Nonequilibrium models of optimal enhancer function
tmp:
  image: /images/cc_by_nc_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
    (CC BY-NC-ND 4.0)
  short: CC BY-NC-ND (4.0)
type: journal_article
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year: '2020'
...
---
_id: '7652'
abstract:
- lang: eng
  text: Organisms cope with change by taking advantage of transcriptional regulators.
    However, when faced with rare environments, the evolution of transcriptional regulators
    and their promoters may be too slow. Here, we investigate whether the intrinsic
    instability of gene duplication and amplification provides a generic alternative
    to canonical gene regulation. Using real-time monitoring of gene-copy-number mutations
    in Escherichia coli, we show that gene duplications and amplifications enable
    adaptation to fluctuating environments by rapidly generating copy-number and,
    therefore, expression-level polymorphisms. This amplification-mediated gene expression
    tuning (AMGET) occurs on timescales that are similar to canonical gene regulation
    and can respond to rapid environmental changes. Mathematical modelling shows that
    amplifications also tune gene expression in stochastic environments in which transcription-factor-based
    schemes are hard to evolve or maintain. The fleeting nature of gene amplifications
    gives rise to a generic population-level mechanism that relies on genetic heterogeneity
    to rapidly tune the expression of any gene, without leaving any genomic signature.
acknowledgement: We thank L. Hurst, N. Barton, M. Pleska, M. Steinrück, B. Kavcic
  and A. Staron for input on the manuscript, and To. Bergmiller and R. Chait for help
  with microfluidics experiments. I.T. is a recipient the OMV fellowship. R.G. is
  a recipient of a DOC (Doctoral Fellowship Programme of the Austrian Academy of Sciences)
  Fellowship of the Austrian Academy of Sciences.
article_processing_charge: No
article_type: original
author:
- first_name: Isabella
  full_name: Tomanek, Isabella
  id: 3981F020-F248-11E8-B48F-1D18A9856A87
  last_name: Tomanek
  orcid: 0000-0001-6197-363X
- first_name: Rok
  full_name: Grah, Rok
  id: 483E70DE-F248-11E8-B48F-1D18A9856A87
  last_name: Grah
  orcid: 0000-0003-2539-3560
- first_name: M.
  full_name: Lagator, M.
  last_name: Lagator
- first_name: A. M. C.
  full_name: Andersson, A. M. C.
  last_name: Andersson
- first_name: Jonathan P
  full_name: Bollback, Jonathan P
  id: 2C6FA9CC-F248-11E8-B48F-1D18A9856A87
  last_name: Bollback
  orcid: 0000-0002-4624-4612
- first_name: Gašper
  full_name: Tkačik, Gašper
  id: 3D494DCA-F248-11E8-B48F-1D18A9856A87
  last_name: Tkačik
  orcid: 0000-0002-6699-1455
- first_name: Calin C
  full_name: Guet, Calin C
  id: 47F8433E-F248-11E8-B48F-1D18A9856A87
  last_name: Guet
  orcid: 0000-0001-6220-2052
citation:
  ama: Tomanek I, Grah R, Lagator M, et al. Gene amplification as a form of population-level
    gene expression regulation. <i>Nature Ecology &#38; Evolution</i>. 2020;4(4):612-625.
    doi:<a href="https://doi.org/10.1038/s41559-020-1132-7">10.1038/s41559-020-1132-7</a>
  apa: Tomanek, I., Grah, R., Lagator, M., Andersson, A. M. C., Bollback, J. P., Tkačik,
    G., &#38; Guet, C. C. (2020). Gene amplification as a form of population-level
    gene expression regulation. <i>Nature Ecology &#38; Evolution</i>. Springer Nature.
    <a href="https://doi.org/10.1038/s41559-020-1132-7">https://doi.org/10.1038/s41559-020-1132-7</a>
  chicago: Tomanek, Isabella, Rok Grah, M. Lagator, A. M. C. Andersson, Jonathan P
    Bollback, Gašper Tkačik, and Calin C Guet. “Gene Amplification as a Form of Population-Level
    Gene Expression Regulation.” <i>Nature Ecology &#38; Evolution</i>. Springer Nature,
    2020. <a href="https://doi.org/10.1038/s41559-020-1132-7">https://doi.org/10.1038/s41559-020-1132-7</a>.
  ieee: I. Tomanek <i>et al.</i>, “Gene amplification as a form of population-level
    gene expression regulation,” <i>Nature Ecology &#38; Evolution</i>, vol. 4, no.
    4. Springer Nature, pp. 612–625, 2020.
  ista: Tomanek I, Grah R, Lagator M, Andersson AMC, Bollback JP, Tkačik G, Guet CC.
    2020. Gene amplification as a form of population-level gene expression regulation.
    Nature Ecology &#38; Evolution. 4(4), 612–625.
  mla: Tomanek, Isabella, et al. “Gene Amplification as a Form of Population-Level
    Gene Expression Regulation.” <i>Nature Ecology &#38; Evolution</i>, vol. 4, no.
    4, Springer Nature, 2020, pp. 612–25, doi:<a href="https://doi.org/10.1038/s41559-020-1132-7">10.1038/s41559-020-1132-7</a>.
  short: I. Tomanek, R. Grah, M. Lagator, A.M.C. Andersson, J.P. Bollback, G. Tkačik,
    C.C. Guet, Nature Ecology &#38; Evolution 4 (2020) 612–625.
date_created: 2020-04-08T15:20:53Z
date_published: 2020-04-01T00:00:00Z
date_updated: 2024-03-25T23:30:20Z
day: '01'
ddc:
- '570'
department:
- _id: GaTk
- _id: CaGu
doi: 10.1038/s41559-020-1132-7
external_id:
  isi:
  - '000519008300005'
file:
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language:
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month: '04'
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oa_version: Submitted Version
page: 612-625
project:
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  name: Biophysically realistic genotype-phenotype maps for regulatory networks
publication: Nature Ecology & Evolution
publication_identifier:
  issn:
  - 2397-334X
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  link:
  - description: News on IST Homepage
    relation: press_release
    url: https://ist.ac.at/en/news/how-to-thrive-without-gene-regulation/
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scopus_import: '1'
status: public
title: Gene amplification as a form of population-level gene expression regulation
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 4
year: '2020'
...
---
_id: '7675'
abstract:
- lang: eng
  text: 'In prokaryotes, thermodynamic models of gene regulation provide a highly
    quantitative mapping from promoter sequences to gene expression levels that is
    compatible with in vivo and in vitro bio-physical measurements. Such concordance
    has not been achieved for models of enhancer function in eukaryotes. In equilibrium
    models, it is difficult to reconcile the reported short transcription factor (TF)
    residence times on the DNA with the high specificity of regulation. In non-equilibrium
    models, progress is difficult due to an explosion in the number of parameters.
    Here, we navigate this complexity by looking for minimal non-equilibrium enhancer
    models that yield desired regulatory phenotypes: low TF residence time, high specificity
    and tunable cooperativity. We find that a single extra parameter, interpretable
    as the “linking rate” by which bound TFs interact with Mediator components, enables
    our models to escape equilibrium bounds and access optimal regulatory phenotypes,
    while remaining consistent with the reported phenomenology and simple enough to
    be inferred from upcoming experiments. We further find that high specificity in
    non-equilibrium models is in a tradeoff with gene expression noise, predicting
    bursty dynamics — an experimentally-observed hallmark of eukaryotic transcription.
    By drastically reducing the vast parameter space to a much smaller subspace that
    optimally realizes biological function prior to inference from data, our normative
    approach holds promise for mathematical models in systems biology.'
article_processing_charge: No
author:
- first_name: Rok
  full_name: Grah, Rok
  id: 483E70DE-F248-11E8-B48F-1D18A9856A87
  last_name: Grah
  orcid: 0000-0003-2539-3560
- first_name: Benjamin
  full_name: Zoller, Benjamin
  last_name: Zoller
- first_name: Gašper
  full_name: Tkačik, Gašper
  id: 3D494DCA-F248-11E8-B48F-1D18A9856A87
  last_name: Tkačik
  orcid: 0000-0002-6699-1455
citation:
  ama: Grah R, Zoller B, Tkačik G. Normative models of enhancer function. <i>bioRxiv</i>.
    2020. doi:<a href="https://doi.org/10.1101/2020.04.08.029405">10.1101/2020.04.08.029405</a>
  apa: Grah, R., Zoller, B., &#38; Tkačik, G. (2020). Normative models of enhancer
    function. <i>bioRxiv</i>. Cold Spring Harbor Laboratory. <a href="https://doi.org/10.1101/2020.04.08.029405">https://doi.org/10.1101/2020.04.08.029405</a>
  chicago: Grah, Rok, Benjamin Zoller, and Gašper Tkačik. “Normative Models of Enhancer
    Function.” <i>BioRxiv</i>. Cold Spring Harbor Laboratory, 2020. <a href="https://doi.org/10.1101/2020.04.08.029405">https://doi.org/10.1101/2020.04.08.029405</a>.
  ieee: R. Grah, B. Zoller, and G. Tkačik, “Normative models of enhancer function,”
    <i>bioRxiv</i>. Cold Spring Harbor Laboratory, 2020.
  ista: Grah R, Zoller B, Tkačik G. 2020. Normative models of enhancer function. bioRxiv,
    <a href="https://doi.org/10.1101/2020.04.08.029405">10.1101/2020.04.08.029405</a>.
  mla: Grah, Rok, et al. “Normative Models of Enhancer Function.” <i>BioRxiv</i>,
    Cold Spring Harbor Laboratory, 2020, doi:<a href="https://doi.org/10.1101/2020.04.08.029405">10.1101/2020.04.08.029405</a>.
  short: R. Grah, B. Zoller, G. Tkačik, BioRxiv (2020).
date_created: 2020-04-23T10:12:51Z
date_published: 2020-04-09T00:00:00Z
date_updated: 2023-09-07T13:13:26Z
day: '09'
department:
- _id: CaGu
- _id: GaTk
doi: 10.1101/2020.04.08.029405
language:
- iso: eng
main_file_link:
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  url: 'https://doi.org/10.1101/2020.04.08.029405 '
month: '04'
oa: 1
oa_version: Preprint
project:
- _id: 2665AAFE-B435-11E9-9278-68D0E5697425
  grant_number: RGP0034/2018
  name: Can evolution minimize spurious signaling crosstalk to reach optimal performance?
- _id: 267C84F4-B435-11E9-9278-68D0E5697425
  name: Biophysically realistic genotype-phenotype maps for regulatory networks
publication: bioRxiv
publication_status: published
publisher: Cold Spring Harbor Laboratory
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status: public
title: Normative models of enhancer function
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2020'
...
