---
_id: '5858'
abstract:
- lang: eng
  text: Spatial patterns are ubiquitous on the subcellular, cellular and tissue level,
    and can be studied using imaging techniques such as light and fluorescence microscopy.
    Imaging data provide quantitative information about biological systems; however,
    mechanisms causing spatial patterning often remain elusive. In recent years, spatio-temporal
    mathematical modelling has helped to overcome this problem. Yet, outliers and
    structured noise limit modelling of whole imaging data, and models often consider
    spatial summary statistics. Here, we introduce an integrated data-driven modelling
    approach that can cope with measurement artefacts and whole imaging data. Our
    approach combines mechanistic models of the biological processes with robust statistical
    models of the measurement process. The parameters of the integrated model are
    calibrated using a maximum-likelihood approach. We used this integrated modelling
    approach to study in vivo gradients of the chemokine (C-C motif) ligand 21 (CCL21).
    CCL21 gradients guide dendritic cells and are important in the adaptive immune
    response. Using artificial data, we verified that the integrated modelling approach
    provides reliable parameter estimates in the presence of measurement noise and
    that bias and variance of these estimates are reduced compared to conventional
    approaches. The application to experimental data allowed the parametrization and
    subsequent refinement of the model using additional mechanisms. Among other results,
    model-based hypothesis testing predicted lymphatic vessel-dependent concentration
    of heparan sulfate, the binding partner of CCL21. The selected model provided
    an accurate description of the experimental data and was partially validated using
    published data. Our findings demonstrate that integrated statistical modelling
    of whole imaging data is computationally feasible and can provide novel biological
    insights.
article_number: '20180600'
article_processing_charge: No
author:
- first_name: Sabrina
  full_name: Hross, Sabrina
  last_name: Hross
- first_name: Fabian J.
  full_name: Theis, Fabian J.
  last_name: Theis
- first_name: Michael K
  full_name: Sixt, Michael K
  id: 41E9FBEA-F248-11E8-B48F-1D18A9856A87
  last_name: Sixt
  orcid: 0000-0002-6620-9179
- first_name: Jan
  full_name: Hasenauer, Jan
  last_name: Hasenauer
citation:
  ama: Hross S, Theis FJ, Sixt MK, Hasenauer J. Mechanistic description of spatial
    processes using integrative modelling of noise-corrupted imaging data. <i>Journal
    of the Royal Society Interface</i>. 2018;15(149). doi:<a href="https://doi.org/10.1098/rsif.2018.0600">10.1098/rsif.2018.0600</a>
  apa: Hross, S., Theis, F. J., Sixt, M. K., &#38; Hasenauer, J. (2018). Mechanistic
    description of spatial processes using integrative modelling of noise-corrupted
    imaging data. <i>Journal of the Royal Society Interface</i>. Royal Society Publishing.
    <a href="https://doi.org/10.1098/rsif.2018.0600">https://doi.org/10.1098/rsif.2018.0600</a>
  chicago: Hross, Sabrina, Fabian J. Theis, Michael K Sixt, and Jan Hasenauer. “Mechanistic
    Description of Spatial Processes Using Integrative Modelling of Noise-Corrupted
    Imaging Data.” <i>Journal of the Royal Society Interface</i>. Royal Society Publishing,
    2018. <a href="https://doi.org/10.1098/rsif.2018.0600">https://doi.org/10.1098/rsif.2018.0600</a>.
  ieee: S. Hross, F. J. Theis, M. K. Sixt, and J. Hasenauer, “Mechanistic description
    of spatial processes using integrative modelling of noise-corrupted imaging data,”
    <i>Journal of the Royal Society Interface</i>, vol. 15, no. 149. Royal Society
    Publishing, 2018.
  ista: Hross S, Theis FJ, Sixt MK, Hasenauer J. 2018. Mechanistic description of
    spatial processes using integrative modelling of noise-corrupted imaging data.
    Journal of the Royal Society Interface. 15(149), 20180600.
  mla: Hross, Sabrina, et al. “Mechanistic Description of Spatial Processes Using
    Integrative Modelling of Noise-Corrupted Imaging Data.” <i>Journal of the Royal
    Society Interface</i>, vol. 15, no. 149, 20180600, Royal Society Publishing, 2018,
    doi:<a href="https://doi.org/10.1098/rsif.2018.0600">10.1098/rsif.2018.0600</a>.
  short: S. Hross, F.J. Theis, M.K. Sixt, J. Hasenauer, Journal of the Royal Society
    Interface 15 (2018).
date_created: 2019-01-20T22:59:18Z
date_published: 2018-12-05T00:00:00Z
date_updated: 2023-09-13T08:55:05Z
day: '05'
ddc:
- '570'
department:
- _id: MiSi
doi: 10.1098/rsif.2018.0600
external_id:
  isi:
  - '000456783800011'
file:
- access_level: open_access
  checksum: 56eb4308a15b7190bff938fab1f780e8
  content_type: application/pdf
  creator: dernst
  date_created: 2019-02-05T14:46:44Z
  date_updated: 2020-07-14T12:47:13Z
  file_id: '5925'
  file_name: 2018_Interface_Hross.pdf
  file_size: 1464288
  relation: main_file
file_date_updated: 2020-07-14T12:47:13Z
has_accepted_license: '1'
intvolume: '        15'
isi: 1
issue: '149'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
publication: Journal of the Royal Society Interface
publication_identifier:
  issn:
  - '17425689'
publication_status: published
publisher: Royal Society Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Mechanistic description of spatial processes using integrative modelling of
  noise-corrupted imaging data
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 15
year: '2018'
...
---
_id: '5860'
abstract:
- lang: eng
  text: 'A major problem for evolutionary theory is understanding the so-called open-ended
    nature of evolutionary change, from its definition to its origins. Open-ended
    evolution (OEE) refers to the unbounded increase in complexity that seems to characterize
    evolution on multiple scales. This property seems to be a characteristic feature
    of biological and technological evolution and is strongly tied to the generative
    potential associated with combinatorics, which allows the system to grow and expand
    their available state spaces. Interestingly, many complex systems presumably displaying
    OEE, from language to proteins, share a common statistical property: the presence
    of Zipf''s Law. Given an inventory of basic items (such as words or protein domains)
    required to build more complex structures (sentences or proteins) Zipf''s Law
    tells us that most of these elements are rare whereas a few of them are extremely
    common. Using algorithmic information theory, in this paper we provide a fundamental
    definition for open-endedness, which can be understood as postulates. Its statistical
    counterpart, based on standard Shannon information theory, has the structure of
    a variational problem which is shown to lead to Zipf''s Law as the expected consequence
    of an evolutionary process displaying OEE. We further explore the problem of information
    conservation through an OEE process and we conclude that statistical information
    (standard Shannon information) is not conserved, resulting in the paradoxical
    situation in which the increase of information content has the effect of erasing
    itself. We prove that this paradox is solved if we consider non-statistical forms
    of information. This last result implies that standard information theory may
    not be a suitable theoretical framework to explore the persistence and increase
    of the information content in OEE systems.'
article_number: '20180395'
article_processing_charge: No
arxiv: 1
author:
- first_name: Bernat
  full_name: Corominas-Murtra, Bernat
  id: 43BE2298-F248-11E8-B48F-1D18A9856A87
  last_name: Corominas-Murtra
  orcid: 0000-0001-9806-5643
- first_name: Luís F.
  full_name: Seoane, Luís F.
  last_name: Seoane
- first_name: Ricard
  full_name: Solé, Ricard
  last_name: Solé
citation:
  ama: Corominas-Murtra B, Seoane LF, Solé R. Zipf’s Law, unbounded complexity and
    open-ended evolution. <i>Journal of the Royal Society Interface</i>. 2018;15(149).
    doi:<a href="https://doi.org/10.1098/rsif.2018.0395">10.1098/rsif.2018.0395</a>
  apa: Corominas-Murtra, B., Seoane, L. F., &#38; Solé, R. (2018). Zipf’s Law, unbounded
    complexity and open-ended evolution. <i>Journal of the Royal Society Interface</i>.
    Royal Society Publishing. <a href="https://doi.org/10.1098/rsif.2018.0395">https://doi.org/10.1098/rsif.2018.0395</a>
  chicago: Corominas-Murtra, Bernat, Luís F. Seoane, and Ricard Solé. “Zipf’s Law,
    Unbounded Complexity and Open-Ended Evolution.” <i>Journal of the Royal Society
    Interface</i>. Royal Society Publishing, 2018. <a href="https://doi.org/10.1098/rsif.2018.0395">https://doi.org/10.1098/rsif.2018.0395</a>.
  ieee: B. Corominas-Murtra, L. F. Seoane, and R. Solé, “Zipf’s Law, unbounded complexity
    and open-ended evolution,” <i>Journal of the Royal Society Interface</i>, vol.
    15, no. 149. Royal Society Publishing, 2018.
  ista: Corominas-Murtra B, Seoane LF, Solé R. 2018. Zipf’s Law, unbounded complexity
    and open-ended evolution. Journal of the Royal Society Interface. 15(149), 20180395.
  mla: Corominas-Murtra, Bernat, et al. “Zipf’s Law, Unbounded Complexity and Open-Ended
    Evolution.” <i>Journal of the Royal Society Interface</i>, vol. 15, no. 149, 20180395,
    Royal Society Publishing, 2018, doi:<a href="https://doi.org/10.1098/rsif.2018.0395">10.1098/rsif.2018.0395</a>.
  short: B. Corominas-Murtra, L.F. Seoane, R. Solé, Journal of the Royal Society Interface
    15 (2018).
date_created: 2019-01-20T22:59:19Z
date_published: 2018-12-12T00:00:00Z
date_updated: 2023-09-19T10:40:38Z
day: '12'
department:
- _id: EdHa
doi: 10.1098/rsif.2018.0395
external_id:
  arxiv:
  - '1612.01605'
  isi:
  - '000456783800002'
intvolume: '        15'
isi: 1
issue: '149'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1612.01605
month: '12'
oa: 1
oa_version: Preprint
publication: Journal of the Royal Society Interface
publication_identifier:
  issn:
  - '17425689'
publication_status: published
publisher: Royal Society Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Zipf's Law, unbounded complexity and open-ended evolution
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 15
year: '2018'
...
---
_id: '1077'
abstract:
- lang: eng
  text: Viral capsids are structurally constrained by interactions among the amino
    acids (AAs) of their constituent proteins. Therefore, epistasis is expected to
    evolve among physically interacting sites and to influence the rates of substitution.
    To study the evolution of epistasis, we focused on the major structural protein
    of the fX174 phage family by first reconstructing the ancestral protein sequences
    of 18 species using a Bayesian statistical framework. The inferred ancestral reconstruction
    differed at eight AAs, for a total of 256 possible ancestral haplotypes. For each
    ancestral haplotype and the extant species, we estimated, in silico, the distribution
    of free energies and epistasis of the capsid structure. We found that free energy
    has not significantly increased but epistasis has. We decomposed epistasis up
    to fifth order and found that higher-order epistasis sometimes compensates pairwise
    interactions making the free energy seem additive. The dN/dS ratio is low, suggesting
    strong purifying selection, and that structure is under stabilizing selection.
    We synthesized phages carrying ancestral haplotypes of the coat protein gene and
    measured their fitness experimentally. Our findings indicate that stabilizing
    mutations can have higher fitness, and that fitness optima do not necessarily
    coincide with energy minima.
article_number: '20160139'
article_processing_charge: Yes (in subscription journal)
author:
- first_name: Rodrigo A
  full_name: Fernandes Redondo, Rodrigo A
  id: 409D5C96-F248-11E8-B48F-1D18A9856A87
  last_name: Fernandes Redondo
  orcid: 0000-0002-5837-2793
- first_name: Harold
  full_name: Vladar, Harold
  id: 2A181218-F248-11E8-B48F-1D18A9856A87
  last_name: Vladar
  orcid: 0000-0002-5985-7653
- first_name: Tomasz
  full_name: Włodarski, Tomasz
  last_name: Włodarski
- first_name: Jonathan P
  full_name: Bollback, Jonathan P
  id: 2C6FA9CC-F248-11E8-B48F-1D18A9856A87
  last_name: Bollback
  orcid: 0000-0002-4624-4612
citation:
  ama: Fernandes Redondo RA, de Vladar H, Włodarski T, Bollback JP. Evolutionary interplay
    between structure, energy and epistasis in the coat protein of the ϕX174 phage
    family. <i>Journal of the Royal Society Interface</i>. 2017;14(126). doi:<a href="https://doi.org/10.1098/rsif.2016.0139">10.1098/rsif.2016.0139</a>
  apa: Fernandes Redondo, R. A., de Vladar, H., Włodarski, T., &#38; Bollback, J.
    P. (2017). Evolutionary interplay between structure, energy and epistasis in the
    coat protein of the ϕX174 phage family. <i>Journal of the Royal Society Interface</i>.
    Royal Society of London. <a href="https://doi.org/10.1098/rsif.2016.0139">https://doi.org/10.1098/rsif.2016.0139</a>
  chicago: Fernandes Redondo, Rodrigo A, Harold de Vladar, Tomasz Włodarski, and Jonathan
    P Bollback. “Evolutionary Interplay between Structure, Energy and Epistasis in
    the Coat Protein of the ΦX174 Phage Family.” <i>Journal of the Royal Society Interface</i>.
    Royal Society of London, 2017. <a href="https://doi.org/10.1098/rsif.2016.0139">https://doi.org/10.1098/rsif.2016.0139</a>.
  ieee: R. A. Fernandes Redondo, H. de Vladar, T. Włodarski, and J. P. Bollback, “Evolutionary
    interplay between structure, energy and epistasis in the coat protein of the ϕX174
    phage family,” <i>Journal of the Royal Society Interface</i>, vol. 14, no. 126.
    Royal Society of London, 2017.
  ista: Fernandes Redondo RA, de Vladar H, Włodarski T, Bollback JP. 2017. Evolutionary
    interplay between structure, energy and epistasis in the coat protein of the ϕX174
    phage family. Journal of the Royal Society Interface. 14(126), 20160139.
  mla: Fernandes Redondo, Rodrigo A., et al. “Evolutionary Interplay between Structure,
    Energy and Epistasis in the Coat Protein of the ΦX174 Phage Family.” <i>Journal
    of the Royal Society Interface</i>, vol. 14, no. 126, 20160139, Royal Society
    of London, 2017, doi:<a href="https://doi.org/10.1098/rsif.2016.0139">10.1098/rsif.2016.0139</a>.
  short: R.A. Fernandes Redondo, H. de Vladar, T. Włodarski, J.P. Bollback, Journal
    of the Royal Society Interface 14 (2017).
date_created: 2018-12-11T11:50:01Z
date_published: 2017-01-04T00:00:00Z
date_updated: 2025-05-28T11:42:51Z
day: '04'
ddc:
- '570'
department:
- _id: NiBa
- _id: JoBo
doi: 10.1098/rsif.2016.0139
ec_funded: 1
external_id:
  isi:
  - '000393380400001'
file:
- access_level: open_access
  content_type: application/pdf
  creator: dernst
  date_created: 2019-01-18T09:14:02Z
  date_updated: 2019-01-18T09:14:02Z
  file_id: '5843'
  file_name: 2017_JRSI_Redondo.pdf
  file_size: 1092015
  relation: main_file
  success: 1
file_date_updated: 2019-01-18T09:14:02Z
has_accepted_license: '1'
intvolume: '        14'
isi: 1
issue: '126'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 25B07788-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '250152'
  name: Limits to selection in biology and in evolutionary computation
- _id: 2578D616-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '648440'
  name: Selective Barriers to Horizontal Gene Transfer
publication: Journal of the Royal Society Interface
publication_identifier:
  issn:
  - '17425689'
publication_status: published
publisher: Royal Society of London
publist_id: '6303'
quality_controlled: '1'
related_material:
  record:
  - id: '9864'
    relation: research_data
    status: public
scopus_import: '1'
status: public
title: Evolutionary interplay between structure, energy and epistasis in the coat
  protein of the ϕX174 phage family
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 14
year: '2017'
...
