---
_id: '2851'
abstract:
- lang: eng
  text: The number of possible activity patterns in a population of neurons grows
    exponentially with the size of the population. Typical experiments explore only
    a tiny fraction of the large space of possible activity patterns in the case of
    populations with more than 10 or 20 neurons. It is thus impossible, in this undersampled
    regime, to estimate the probabilities with which most of the activity patterns
    occur. As a result, the corresponding entropy - which is a measure of the computational
    power of the neural population - cannot be estimated directly. We propose a simple
    scheme for estimating the entropy in the undersampled regime, which bounds its
    value from both below and above. The lower bound is the usual 'naive' entropy
    of the experimental frequencies. The upper bound results from a hybrid approximation
    of the entropy which makes use of the naive estimate, a maximum entropy fit, and
    a coverage adjustment. We apply our simple scheme to artificial data, in order
    to check their accuracy; we also compare its performance to those of several previously
    defined entropy estimators. We then apply it to actual measurements of neural
    activity in populations with up to 100 cells. Finally, we discuss the similarities
    and differences between the proposed simple estimation scheme and various earlier
    methods. © 2013 IOP Publishing Ltd and SISSA Medialab srl.
article_number: P03015
article_processing_charge: No
author:
- first_name: Michael
  full_name: Berry, Michael
  last_name: Berry
- first_name: Gasper
  full_name: Tkacik, Gasper
  id: 3D494DCA-F248-11E8-B48F-1D18A9856A87
  last_name: Tkacik
  orcid: 0000-0002-6699-1455
- first_name: Julien
  full_name: Dubuis, Julien
  last_name: Dubuis
- first_name: Olivier
  full_name: Marre, Olivier
  last_name: Marre
- first_name: Ravá
  full_name: Da Silveira, Ravá
  last_name: Da Silveira
citation:
  ama: Berry M, Tkačik G, Dubuis J, Marre O, Da Silveira R. A simple method for estimating
    the entropy of neural activity. <i>Journal of Statistical Mechanics Theory and
    Experiment</i>. 2013;2013(3). doi:<a href="https://doi.org/10.1088/1742-5468/2013/03/P03015">10.1088/1742-5468/2013/03/P03015</a>
  apa: Berry, M., Tkačik, G., Dubuis, J., Marre, O., &#38; Da Silveira, R. (2013).
    A simple method for estimating the entropy of neural activity. <i>Journal of Statistical
    Mechanics Theory and Experiment</i>. IOP Publishing. <a href="https://doi.org/10.1088/1742-5468/2013/03/P03015">https://doi.org/10.1088/1742-5468/2013/03/P03015</a>
  chicago: Berry, Michael, Gašper Tkačik, Julien Dubuis, Olivier Marre, and Ravá Da
    Silveira. “A Simple Method for Estimating the Entropy of Neural Activity.” <i>Journal
    of Statistical Mechanics Theory and Experiment</i>. IOP Publishing, 2013. <a href="https://doi.org/10.1088/1742-5468/2013/03/P03015">https://doi.org/10.1088/1742-5468/2013/03/P03015</a>.
  ieee: M. Berry, G. Tkačik, J. Dubuis, O. Marre, and R. Da Silveira, “A simple method
    for estimating the entropy of neural activity,” <i>Journal of Statistical Mechanics
    Theory and Experiment</i>, vol. 2013, no. 3. IOP Publishing, 2013.
  ista: Berry M, Tkačik G, Dubuis J, Marre O, Da Silveira R. 2013. A simple method
    for estimating the entropy of neural activity. Journal of Statistical Mechanics
    Theory and Experiment. 2013(3), P03015.
  mla: Berry, Michael, et al. “A Simple Method for Estimating the Entropy of Neural
    Activity.” <i>Journal of Statistical Mechanics Theory and Experiment</i>, vol.
    2013, no. 3, P03015, IOP Publishing, 2013, doi:<a href="https://doi.org/10.1088/1742-5468/2013/03/P03015">10.1088/1742-5468/2013/03/P03015</a>.
  short: M. Berry, G. Tkačik, J. Dubuis, O. Marre, R. Da Silveira, Journal of Statistical
    Mechanics Theory and Experiment 2013 (2013).
date_created: 2018-12-11T11:59:56Z
date_published: 2013-03-12T00:00:00Z
date_updated: 2025-09-29T13:41:46Z
day: '12'
department:
- _id: GaTk
doi: 10.1088/1742-5468/2013/03/P03015
external_id:
  isi:
  - '000316056900015'
intvolume: '      2013'
isi: 1
issue: '3'
language:
- iso: eng
month: '03'
oa_version: None
publication: Journal of Statistical Mechanics Theory and Experiment
publication_status: published
publisher: IOP Publishing
publist_id: '3941'
quality_controlled: '1'
scopus_import: '1'
status: public
title: A simple method for estimating the entropy of neural activity
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 2013
year: '2013'
...
---
_id: '2861'
abstract:
- lang: eng
  text: We consider a two-parameter family of piecewise linear maps in which the moduli
    of the two slopes take different values. We provide numerical evidence of the
    existence of some parameter regions in which the Lyapunov exponent and the topological
    entropy remain constant. Analytical proof of this phenomenon is also given for
    certain cases. Surprisingly however, the systems with that property are not conjugate
    as we prove by using kneading theory.
article_number: '125101'
article_processing_charge: No
author:
- first_name: Vicente
  full_name: Botella Soler, Vicente
  id: 421234E8-F248-11E8-B48F-1D18A9856A87
  last_name: Botella Soler
  orcid: 0000-0002-8790-1914
- first_name: José
  full_name: Oteo, José
  last_name: Oteo
- first_name: Javier
  full_name: Ros, Javier
  last_name: Ros
- first_name: Paul
  full_name: Glendinning, Paul
  last_name: Glendinning
citation:
  ama: 'Botella Soler V, Oteo J, Ros J, Glendinning P. Lyapunov exponent and topological
    entropy plateaus in piecewise linear maps. <i>Journal of Physics A: Mathematical
    and Theoretical</i>. 2013;46(12). doi:<a href="https://doi.org/10.1088/1751-8113/46/12/125101">10.1088/1751-8113/46/12/125101</a>'
  apa: 'Botella Soler, V., Oteo, J., Ros, J., &#38; Glendinning, P. (2013). Lyapunov
    exponent and topological entropy plateaus in piecewise linear maps. <i>Journal
    of Physics A: Mathematical and Theoretical</i>. IOP Publishing. <a href="https://doi.org/10.1088/1751-8113/46/12/125101">https://doi.org/10.1088/1751-8113/46/12/125101</a>'
  chicago: 'Botella Soler, Vicente, José Oteo, Javier Ros, and Paul Glendinning. “Lyapunov
    Exponent and Topological Entropy Plateaus in Piecewise Linear Maps.” <i>Journal
    of Physics A: Mathematical and Theoretical</i>. IOP Publishing, 2013. <a href="https://doi.org/10.1088/1751-8113/46/12/125101">https://doi.org/10.1088/1751-8113/46/12/125101</a>.'
  ieee: 'V. Botella Soler, J. Oteo, J. Ros, and P. Glendinning, “Lyapunov exponent
    and topological entropy plateaus in piecewise linear maps,” <i>Journal of Physics
    A: Mathematical and Theoretical</i>, vol. 46, no. 12. IOP Publishing, 2013.'
  ista: 'Botella Soler V, Oteo J, Ros J, Glendinning P. 2013. Lyapunov exponent and
    topological entropy plateaus in piecewise linear maps. Journal of Physics A: Mathematical
    and Theoretical. 46(12), 125101.'
  mla: 'Botella Soler, Vicente, et al. “Lyapunov Exponent and Topological Entropy
    Plateaus in Piecewise Linear Maps.” <i>Journal of Physics A: Mathematical and
    Theoretical</i>, vol. 46, no. 12, 125101, IOP Publishing, 2013, doi:<a href="https://doi.org/10.1088/1751-8113/46/12/125101">10.1088/1751-8113/46/12/125101</a>.'
  short: 'V. Botella Soler, J. Oteo, J. Ros, P. Glendinning, Journal of Physics A:
    Mathematical and Theoretical 46 (2013).'
corr_author: '1'
date_created: 2018-12-11T11:59:59Z
date_published: 2013-03-29T00:00:00Z
date_updated: 2025-09-29T13:36:56Z
day: '29'
department:
- _id: GaTk
doi: 10.1088/1751-8113/46/12/125101
external_id:
  isi:
  - '000316058200010'
intvolume: '        46'
isi: 1
issue: '12'
language:
- iso: eng
month: '03'
oa_version: None
publication: 'Journal of Physics A: Mathematical and Theoretical'
publication_status: published
publisher: IOP Publishing
publist_id: '3928'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Lyapunov exponent and topological entropy plateaus in piecewise linear maps
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 46
year: '2013'
...
---
_id: '2863'
abstract:
- lang: eng
  text: Neural populations encode information about their stimulus in a collective
    fashion, by joint activity patterns of spiking and silence. A full account of
    this mapping from stimulus to neural activity is given by the conditional probability
    distribution over neural codewords given the sensory input. For large populations,
    direct sampling of these distributions is impossible, and so we must rely on constructing
    appropriate models. We show here that in a population of 100 retinal ganglion
    cells in the salamander retina responding to temporal white-noise stimuli, dependencies
    between cells play an important encoding role. We introduce the stimulus-dependent
    maximum entropy (SDME) model—a minimal extension of the canonical linear-nonlinear
    model of a single neuron, to a pairwise-coupled neural population. We find that
    the SDME model gives a more accurate account of single cell responses and in particular
    significantly outperforms uncoupled models in reproducing the distributions of
    population codewords emitted in response to a stimulus. We show how the SDME model,
    in conjunction with static maximum entropy models of population vocabulary, can
    be used to estimate information-theoretic quantities like average surprise and
    information transmission in a neural population.
article_number: e1002922
article_processing_charge: No
author:
- first_name: Einat
  full_name: Granot Atedgi, Einat
  last_name: Granot Atedgi
- first_name: Gasper
  full_name: Tkacik, Gasper
  id: 3D494DCA-F248-11E8-B48F-1D18A9856A87
  last_name: Tkacik
  orcid: 0000-0002-6699-1455
- first_name: Ronen
  full_name: Segev, Ronen
  last_name: Segev
- first_name: Elad
  full_name: Schneidman, Elad
  last_name: Schneidman
citation:
  ama: Granot Atedgi E, Tkačik G, Segev R, Schneidman E. Stimulus-dependent maximum
    entropy models of neural population codes. <i>PLoS Computational Biology</i>.
    2013;9(3). doi:<a href="https://doi.org/10.1371/journal.pcbi.1002922">10.1371/journal.pcbi.1002922</a>
  apa: Granot Atedgi, E., Tkačik, G., Segev, R., &#38; Schneidman, E. (2013). Stimulus-dependent
    maximum entropy models of neural population codes. <i>PLoS Computational Biology</i>.
    Public Library of Science. <a href="https://doi.org/10.1371/journal.pcbi.1002922">https://doi.org/10.1371/journal.pcbi.1002922</a>
  chicago: Granot Atedgi, Einat, Gašper Tkačik, Ronen Segev, and Elad Schneidman.
    “Stimulus-Dependent Maximum Entropy Models of Neural Population Codes.” <i>PLoS
    Computational Biology</i>. Public Library of Science, 2013. <a href="https://doi.org/10.1371/journal.pcbi.1002922">https://doi.org/10.1371/journal.pcbi.1002922</a>.
  ieee: E. Granot Atedgi, G. Tkačik, R. Segev, and E. Schneidman, “Stimulus-dependent
    maximum entropy models of neural population codes,” <i>PLoS Computational Biology</i>,
    vol. 9, no. 3. Public Library of Science, 2013.
  ista: Granot Atedgi E, Tkačik G, Segev R, Schneidman E. 2013. Stimulus-dependent
    maximum entropy models of neural population codes. PLoS Computational Biology.
    9(3), e1002922.
  mla: Granot Atedgi, Einat, et al. “Stimulus-Dependent Maximum Entropy Models of
    Neural Population Codes.” <i>PLoS Computational Biology</i>, vol. 9, no. 3, e1002922,
    Public Library of Science, 2013, doi:<a href="https://doi.org/10.1371/journal.pcbi.1002922">10.1371/journal.pcbi.1002922</a>.
  short: E. Granot Atedgi, G. Tkačik, R. Segev, E. Schneidman, PLoS Computational
    Biology 9 (2013).
corr_author: '1'
date_created: 2018-12-11T12:00:00Z
date_published: 2013-03-01T00:00:00Z
date_updated: 2025-09-29T13:35:44Z
day: '01'
ddc:
- '570'
department:
- _id: GaTk
doi: 10.1371/journal.pcbi.1002922
external_id:
  isi:
  - '000316864200003'
file:
- access_level: open_access
  checksum: 5a30876c193209fa05b26db71845dd16
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:14:45Z
  date_updated: 2020-07-14T12:45:52Z
  file_id: '5099'
  file_name: IST-2013-120-v1+1_journal.pcbi.1002922.pdf
  file_size: 1548120
  relation: main_file
file_date_updated: 2020-07-14T12:45:52Z
has_accepted_license: '1'
intvolume: '         9'
isi: 1
issue: '3'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
publication: PLoS Computational Biology
publication_status: published
publisher: Public Library of Science
publist_id: '3926'
pubrep_id: '120'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Stimulus-dependent maximum entropy models of neural population codes
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: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 9
year: '2013'
...
---
_id: '2913'
abstract:
- lang: eng
  text: 'The ability of an organism to distinguish between various stimuli is limited
    by the structure and noise in the population code of its sensory neurons. Here
    we infer a distance measure on the stimulus space directly from the recorded activity
    of 100 neurons in the salamander retina. In contrast to previously used measures
    of stimulus similarity, this &quot;neural metric&quot; tells us how distinguishable
    a pair of stimulus clips is to the retina, based on the similarity between the
    induced distributions of population responses. We show that the retinal distance
    strongly deviates from Euclidean, or any static metric, yet has a simple structure:
    we identify the stimulus features that the neural population is jointly sensitive
    to, and show the support-vector-machine- like kernel function relating the stimulus
    and neural response spaces. We show that the non-Euclidean nature of the retinal
    distance has important consequences for neural decoding.'
article_number: '058104'
article_processing_charge: No
arxiv: 1
author:
- first_name: Gasper
  full_name: Tkacik, Gasper
  id: 3D494DCA-F248-11E8-B48F-1D18A9856A87
  last_name: Tkacik
  orcid: 0000-0002-6699-1455
- first_name: Einat
  full_name: Granot Atedgi, Einat
  last_name: Granot Atedgi
- first_name: Ronen
  full_name: Segev, Ronen
  last_name: Segev
- first_name: Elad
  full_name: Schneidman, Elad
  last_name: Schneidman
citation:
  ama: 'Tkačik G, Granot Atedgi E, Segev R, Schneidman E. Retinal metric: a stimulus
    distance measure derived from population neural responses. <i>Physical Review
    Letters</i>. 2013;110(5). doi:<a href="https://doi.org/10.1103/PhysRevLett.110.058104">10.1103/PhysRevLett.110.058104</a>'
  apa: 'Tkačik, G., Granot Atedgi, E., Segev, R., &#38; Schneidman, E. (2013). Retinal
    metric: a stimulus distance measure derived from population neural responses.
    <i>Physical Review Letters</i>. American Physical Society. <a href="https://doi.org/10.1103/PhysRevLett.110.058104">https://doi.org/10.1103/PhysRevLett.110.058104</a>'
  chicago: 'Tkačik, Gašper, Einat Granot Atedgi, Ronen Segev, and Elad Schneidman.
    “Retinal Metric: A Stimulus Distance Measure Derived from Population Neural Responses.”
    <i>Physical Review Letters</i>. American Physical Society, 2013. <a href="https://doi.org/10.1103/PhysRevLett.110.058104">https://doi.org/10.1103/PhysRevLett.110.058104</a>.'
  ieee: 'G. Tkačik, E. Granot Atedgi, R. Segev, and E. Schneidman, “Retinal metric:
    a stimulus distance measure derived from population neural responses,” <i>Physical
    Review Letters</i>, vol. 110, no. 5. American Physical Society, 2013.'
  ista: 'Tkačik G, Granot Atedgi E, Segev R, Schneidman E. 2013. Retinal metric: a
    stimulus distance measure derived from population neural responses. Physical Review
    Letters. 110(5), 058104.'
  mla: 'Tkačik, Gašper, et al. “Retinal Metric: A Stimulus Distance Measure Derived
    from Population Neural Responses.” <i>Physical Review Letters</i>, vol. 110, no.
    5, 058104, American Physical Society, 2013, doi:<a href="https://doi.org/10.1103/PhysRevLett.110.058104">10.1103/PhysRevLett.110.058104</a>.'
  short: G. Tkačik, E. Granot Atedgi, R. Segev, E. Schneidman, Physical Review Letters
    110 (2013).
corr_author: '1'
date_created: 2018-12-11T12:00:18Z
date_published: 2013-01-28T00:00:00Z
date_updated: 2025-09-29T13:29:59Z
day: '28'
department:
- _id: GaTk
doi: 10.1103/PhysRevLett.110.058104
external_id:
  arxiv:
  - '1205.6598'
  isi:
  - '000314090300012'
intvolume: '       110'
isi: 1
issue: '5'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1205.6598
month: '01'
oa: 1
oa_version: Preprint
publication: Physical Review Letters
publication_status: published
publisher: American Physical Society
publist_id: '3830'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Retinal metric: a stimulus distance measure derived from population neural
  responses'
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 110
year: '2013'
...
---
_id: '2914'
abstract:
- lang: eng
  text: The scale invariance of natural images suggests an analogy to the statistical
    mechanics of physical systems at a critical point. Here we examine the distribution
    of pixels in small image patches and show how to construct the corresponding thermodynamics.
    We find evidence for criticality in a diverging specific heat, which corresponds
    to large fluctuations in how &quot;surprising&quot; we find individual images,
    and in the quantitative form of the entropy vs energy. We identify special image
    configurations as local energy minima and show that average patches within each
    basin are interpretable as lines and edges in all orientations.
acknowledgement: "This work was supported in part by NSF Grants No. IIS-0613435, No.
  IBN-0344678, and No. PHY-0957573, by NIH Grant No. T32 MH065214, by the Human Frontier
  Science Program, and by the Swartz Foundation.\r\nCC BY 3.0\r\n"
article_number: '018701'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Greg
  full_name: Stephens, Greg
  last_name: Stephens
- first_name: Thierry
  full_name: Mora, Thierry
  last_name: Mora
- first_name: Gasper
  full_name: Tkacik, Gasper
  id: 3D494DCA-F248-11E8-B48F-1D18A9856A87
  last_name: Tkacik
  orcid: 0000-0002-6699-1455
- first_name: William
  full_name: Bialek, William
  last_name: Bialek
citation:
  ama: Stephens G, Mora T, Tkačik G, Bialek W. Statistical thermodynamics of natural
    images. <i>Physical Review Letters</i>. 2013;110(1). doi:<a href="https://doi.org/10.1103/PhysRevLett.110.018701">10.1103/PhysRevLett.110.018701</a>
  apa: Stephens, G., Mora, T., Tkačik, G., &#38; Bialek, W. (2013). Statistical thermodynamics
    of natural images. <i>Physical Review Letters</i>. American Physical Society.
    <a href="https://doi.org/10.1103/PhysRevLett.110.018701">https://doi.org/10.1103/PhysRevLett.110.018701</a>
  chicago: Stephens, Greg, Thierry Mora, Gašper Tkačik, and William Bialek. “Statistical
    Thermodynamics of Natural Images.” <i>Physical Review Letters</i>. American Physical
    Society, 2013. <a href="https://doi.org/10.1103/PhysRevLett.110.018701">https://doi.org/10.1103/PhysRevLett.110.018701</a>.
  ieee: G. Stephens, T. Mora, G. Tkačik, and W. Bialek, “Statistical thermodynamics
    of natural images,” <i>Physical Review Letters</i>, vol. 110, no. 1. American
    Physical Society, 2013.
  ista: Stephens G, Mora T, Tkačik G, Bialek W. 2013. Statistical thermodynamics of
    natural images. Physical Review Letters. 110(1), 018701.
  mla: Stephens, Greg, et al. “Statistical Thermodynamics of Natural Images.” <i>Physical
    Review Letters</i>, vol. 110, no. 1, 018701, American Physical Society, 2013,
    doi:<a href="https://doi.org/10.1103/PhysRevLett.110.018701">10.1103/PhysRevLett.110.018701</a>.
  short: G. Stephens, T. Mora, G. Tkačik, W. Bialek, Physical Review Letters 110 (2013).
date_created: 2018-12-11T12:00:19Z
date_published: 2013-01-02T00:00:00Z
date_updated: 2025-09-29T13:29:28Z
day: '02'
ddc:
- '530'
department:
- _id: GaTk
doi: 10.1103/PhysRevLett.110.018701
external_id:
  arxiv:
  - '0806.2694'
  isi:
  - '000313006100058'
file:
- access_level: open_access
  checksum: 72bfbc2094c4680e8a8a6bed668cd06d
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:18:44Z
  date_updated: 2020-07-14T12:45:53Z
  file_id: '5366'
  file_name: IST-2016-401-v1+1_1281.full.pdf
  file_size: 416965
  relation: main_file
file_date_updated: 2020-07-14T12:45:53Z
has_accepted_license: '1'
intvolume: '       110'
isi: 1
issue: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
publication: Physical Review Letters
publication_status: published
publisher: American Physical Society
publist_id: '3829'
pubrep_id: '401'
quality_controlled: '1'
status: public
title: Statistical thermodynamics of natural images
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: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 110
year: '2013'
...
---
_id: '3261'
abstract:
- lang: eng
  text: Cells in a developing embryo have no direct way of &quot;measuring&quot; their
    physical position. Through a variety of processes, however, the expression levels
    of multiple genes come to be correlated with position, and these expression levels
    thus form a code for &quot;positional information.&quot; We show how to measure
    this information, in bits, using the gap genes in the Drosophila embryo as an
    example. Individual genes carry nearly two bits of information, twice as much
    as expected if the expression patterns consisted only of on/off domains separated
    by sharp boundaries. Taken together, four gap genes carry enough information to
    define a cell's location with an error bar of ~1% along the anterior-posterior
    axis of the embryo. This precision is nearly enough for each cell to have a unique
    identity, which is the maximum information the system can use, and is nearly constant
    along the length of the embryo. We argue that this constancy is a signature of
    optimality in the transmission of information from primary morphogen inputs to
    the output of the gap gene network.
article_processing_charge: No
author:
- first_name: Julien
  full_name: Dubuis, Julien
  last_name: Dubuis
- first_name: Gasper
  full_name: Tkacik, Gasper
  id: 3D494DCA-F248-11E8-B48F-1D18A9856A87
  last_name: Tkacik
  orcid: 0000-0002-6699-1455
- first_name: Eric
  full_name: Wieschaus, Eric
  last_name: Wieschaus
- first_name: Thomas
  full_name: Gregor, Thomas
  last_name: Gregor
- first_name: William
  full_name: Bialek, William
  last_name: Bialek
citation:
  ama: Dubuis J, Tkačik G, Wieschaus E, Gregor T, Bialek W. Positional information,
    in bits. <i>PNAS</i>. 2013;110(41):16301-16308. doi:<a href="https://doi.org/10.1073/pnas.1315642110">10.1073/pnas.1315642110</a>
  apa: Dubuis, J., Tkačik, G., Wieschaus, E., Gregor, T., &#38; Bialek, W. (2013).
    Positional information, in bits. <i>PNAS</i>. National Academy of Sciences. <a
    href="https://doi.org/10.1073/pnas.1315642110">https://doi.org/10.1073/pnas.1315642110</a>
  chicago: Dubuis, Julien, Gašper Tkačik, Eric Wieschaus, Thomas Gregor, and William
    Bialek. “Positional Information, in Bits.” <i>PNAS</i>. National Academy of Sciences,
    2013. <a href="https://doi.org/10.1073/pnas.1315642110">https://doi.org/10.1073/pnas.1315642110</a>.
  ieee: J. Dubuis, G. Tkačik, E. Wieschaus, T. Gregor, and W. Bialek, “Positional
    information, in bits,” <i>PNAS</i>, vol. 110, no. 41. National Academy of Sciences,
    pp. 16301–16308, 2013.
  ista: Dubuis J, Tkačik G, Wieschaus E, Gregor T, Bialek W. 2013. Positional information,
    in bits. PNAS. 110(41), 16301–16308.
  mla: Dubuis, Julien, et al. “Positional Information, in Bits.” <i>PNAS</i>, vol.
    110, no. 41, National Academy of Sciences, 2013, pp. 16301–08, doi:<a href="https://doi.org/10.1073/pnas.1315642110">10.1073/pnas.1315642110</a>.
  short: J. Dubuis, G. Tkačik, E. Wieschaus, T. Gregor, W. Bialek, PNAS 110 (2013)
    16301–16308.
date_created: 2018-12-11T12:02:19Z
date_published: 2013-10-08T00:00:00Z
date_updated: 2025-09-29T13:24:21Z
day: '08'
ddc:
- '570'
department:
- _id: GaTk
doi: 10.1073/pnas.1315642110
external_id:
  isi:
  - '000325395600021'
  pmid:
  - '24089448'
file:
- access_level: open_access
  checksum: ecd859fe52a562193027d428b5524a8d
  content_type: application/pdf
  creator: dernst
  date_created: 2019-01-22T13:53:23Z
  date_updated: 2020-07-14T12:46:06Z
  file_id: '5873'
  file_name: 2013_PNAS_Dubuis.pdf
  file_size: 1670548
  relation: main_file
file_date_updated: 2020-07-14T12:46:06Z
has_accepted_license: '1'
intvolume: '       110'
isi: 1
issue: '41'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: 16301 - 16308
pmid: 1
publication: PNAS
publication_status: published
publisher: National Academy of Sciences
publist_id: '3387'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Positional information, in bits
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 110
year: '2013'
...
---
_id: '2277'
abstract:
- lang: eng
  text: Redundancies and correlations in the responses of sensory neurons may seem
    to waste neural resources, but they can also carry cues about structured stimuli
    and may help the brain to correct for response errors. To investigate the effect
    of stimulus structure on redundancy in retina, we measured simultaneous responses
    from populations of retinal ganglion cells presented with natural and artificial
    stimuli that varied greatly in correlation structure; these stimuli and recordings
    are publicly available online. Responding to spatio-temporally structured stimuli
    such as natural movies, pairs of ganglion cells were modestly more correlated
    than in response to white noise checkerboards, but they were much less correlated
    than predicted by a non-adapting functional model of retinal response. Meanwhile,
    responding to stimuli with purely spatial correlations, pairs of ganglion cells
    showed increased correlations consistent with a static, non-adapting receptive
    field and nonlinearity. We found that in response to spatio-temporally correlated
    stimuli, ganglion cells had faster temporal kernels and tended to have stronger
    surrounds. These properties of individual cells, along with gain changes that
    opposed changes in effective contrast at the ganglion cell input, largely explained
    the pattern of pairwise correlations across stimuli where receptive field measurements
    were possible.
article_number: e1003344
article_processing_charge: No
author:
- first_name: Kristina
  full_name: Simmons, Kristina
  last_name: Simmons
- first_name: Jason
  full_name: Prentice, Jason
  last_name: Prentice
- first_name: Gasper
  full_name: Tkacik, Gasper
  id: 3D494DCA-F248-11E8-B48F-1D18A9856A87
  last_name: Tkacik
  orcid: 0000-0002-6699-1455
- first_name: Jan
  full_name: Homann, Jan
  last_name: Homann
- first_name: Heather
  full_name: Yee, Heather
  last_name: Yee
- first_name: Stephanie
  full_name: Palmer, Stephanie
  last_name: Palmer
- first_name: Philip
  full_name: Nelson, Philip
  last_name: Nelson
- first_name: Vijay
  full_name: Balasubramanian, Vijay
  last_name: Balasubramanian
citation:
  ama: Simmons K, Prentice J, Tkačik G, et al. Transformation of stimulus correlations
    by the retina. <i>PLoS Computational Biology</i>. 2013;9(12). doi:<a href="https://doi.org/10.1371/journal.pcbi.1003344">10.1371/journal.pcbi.1003344</a>
  apa: Simmons, K., Prentice, J., Tkačik, G., Homann, J., Yee, H., Palmer, S., … Balasubramanian,
    V. (2013). Transformation of stimulus correlations by the retina. <i>PLoS Computational
    Biology</i>. Public Library of Science. <a href="https://doi.org/10.1371/journal.pcbi.1003344">https://doi.org/10.1371/journal.pcbi.1003344</a>
  chicago: Simmons, Kristina, Jason Prentice, Gašper Tkačik, Jan Homann, Heather Yee,
    Stephanie Palmer, Philip Nelson, and Vijay Balasubramanian. “Transformation of
    Stimulus Correlations by the Retina.” <i>PLoS Computational Biology</i>. Public
    Library of Science, 2013. <a href="https://doi.org/10.1371/journal.pcbi.1003344">https://doi.org/10.1371/journal.pcbi.1003344</a>.
  ieee: K. Simmons <i>et al.</i>, “Transformation of stimulus correlations by the
    retina,” <i>PLoS Computational Biology</i>, vol. 9, no. 12. Public Library of
    Science, 2013.
  ista: Simmons K, Prentice J, Tkačik G, Homann J, Yee H, Palmer S, Nelson P, Balasubramanian
    V. 2013. Transformation of stimulus correlations by the retina. PLoS Computational
    Biology. 9(12), e1003344.
  mla: Simmons, Kristina, et al. “Transformation of Stimulus Correlations by the Retina.”
    <i>PLoS Computational Biology</i>, vol. 9, no. 12, e1003344, Public Library of
    Science, 2013, doi:<a href="https://doi.org/10.1371/journal.pcbi.1003344">10.1371/journal.pcbi.1003344</a>.
  short: K. Simmons, J. Prentice, G. Tkačik, J. Homann, H. Yee, S. Palmer, P. Nelson,
    V. Balasubramanian, PLoS Computational Biology 9 (2013).
date_created: 2018-12-11T11:56:43Z
date_published: 2013-12-05T00:00:00Z
date_updated: 2025-09-29T14:27:23Z
day: '05'
ddc:
- '570'
department:
- _id: GaTk
doi: 10.1371/journal.pcbi.1003344
external_id:
  isi:
  - '000329364800028'
file:
- access_level: open_access
  checksum: 46722afc4f7eabb0831165d9c1b171ad
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:14:36Z
  date_updated: 2020-07-14T12:45:36Z
  file_id: '5089'
  file_name: IST-2016-410-v1+1_journal.pcbi.1003344.pdf
  file_size: 3115568
  relation: main_file
file_date_updated: 2020-07-14T12:45:36Z
has_accepted_license: '1'
intvolume: '         9'
isi: 1
issue: '12'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
publication: PLoS Computational Biology
publication_status: published
publisher: Public Library of Science
publist_id: '4667'
pubrep_id: '410'
quality_controlled: '1'
related_material:
  record:
  - id: '9752'
    relation: research_data
    status: public
scopus_import: '1'
status: public
title: Transformation of stimulus correlations by the retina
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: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 9
year: '2013'
...
---
_id: '2413'
abstract:
- lang: eng
  text: 'Progress in understanding the global brain dynamics has remained slow to
    date in large part because of the highly multiscale nature of brain activity.
    Indeed, normal brain dynamics is characterized by complex interactions between
    multiple levels: from the microscopic scale of single neurons to the mesoscopic
    level of local groups of neurons, and finally to the macroscopic level of the
    whole brain. Among the most difficult tasks are those of identifying which scales
    are significant for a given particular function and describing how the scales
    affect each other. It is important to realize that the scales of time and space
    are linked together, or even intertwined, and that causal inference is far more
    ambiguous between than within levels. We approach this problem from the perspective
    of our recent work on simultaneous recording from micro- and macroelectrodes in
    the human brain. We propose a physiological description of these multilevel interactions,
    based on phase–amplitude coupling of neuronal oscillations that operate at multiple
    frequencies and on different spatial scales. Specifically, the amplitude of the
    oscillations on a particular spatial scale is modulated by phasic variations in
    neuronal excitability induced by lower frequency oscillations that emerge on a
    larger spatial scale. Following this general principle, it is possible to scale
    up or scale down the multiscale brain dynamics. It is expected that large-scale
    network oscillations in the low-frequency range, mediating downward effects, may
    play an important role in attention and consciousness.'
alternative_title:
- Reviews of Nonlinear Dynamics and Complexity
article_processing_charge: No
author:
- first_name: Mario
  full_name: Valderrama, Mario
  last_name: Valderrama
- first_name: Vicente
  full_name: Botella Soler, Vicente
  id: 421234E8-F248-11E8-B48F-1D18A9856A87
  last_name: Botella Soler
  orcid: 0000-0002-8790-1914
- first_name: Michel
  full_name: Le Van Quyen, Michel
  last_name: Le Van Quyen
citation:
  ama: 'Valderrama M, Botella Soler V, Le Van Quyen M. Neuronal oscillations scale
    up and scale down the brain dynamics . In: Meyer M, Pesenson Z, eds. <i>Multiscale
    Analysis and Nonlinear Dynamics: From Genes to the Brain</i>. Wiley; 2013. doi:<a
    href="https://doi.org/10.1002/9783527671632.ch08">10.1002/9783527671632.ch08</a>'
  apa: 'Valderrama, M., Botella Soler, V., &#38; Le Van Quyen, M. (2013). Neuronal
    oscillations scale up and scale down the brain dynamics . In M. Meyer &#38; Z.
    Pesenson (Eds.), <i>Multiscale Analysis and Nonlinear Dynamics: From Genes to
    the Brain</i>. Wiley. <a href="https://doi.org/10.1002/9783527671632.ch08">https://doi.org/10.1002/9783527671632.ch08</a>'
  chicago: 'Valderrama, Mario, Vicente Botella Soler, and Michel Le Van Quyen. “Neuronal
    Oscillations Scale up and Scale down the Brain Dynamics .” In <i>Multiscale Analysis
    and Nonlinear Dynamics: From Genes to the Brain</i>, edited by Misha Meyer and
    Z. Pesenson. Wiley, 2013. <a href="https://doi.org/10.1002/9783527671632.ch08">https://doi.org/10.1002/9783527671632.ch08</a>.'
  ieee: 'M. Valderrama, V. Botella Soler, and M. Le Van Quyen, “Neuronal oscillations
    scale up and scale down the brain dynamics ,” in <i>Multiscale Analysis and Nonlinear
    Dynamics: From Genes to the Brain</i>, M. Meyer and Z. Pesenson, Eds. Wiley, 2013.'
  ista: 'Valderrama M, Botella Soler V, Le Van Quyen M. 2013.Neuronal oscillations
    scale up and scale down the brain dynamics . In: Multiscale Analysis and Nonlinear
    Dynamics: From Genes to the Brain. Reviews of Nonlinear Dynamics and Complexity,
    .'
  mla: 'Valderrama, Mario, et al. “Neuronal Oscillations Scale up and Scale down the
    Brain Dynamics .” <i>Multiscale Analysis and Nonlinear Dynamics: From Genes to
    the Brain</i>, edited by Misha Meyer and Z. Pesenson, Wiley, 2013, doi:<a href="https://doi.org/10.1002/9783527671632.ch08">10.1002/9783527671632.ch08</a>.'
  short: 'M. Valderrama, V. Botella Soler, M. Le Van Quyen, in:, M. Meyer, Z. Pesenson
    (Eds.), Multiscale Analysis and Nonlinear Dynamics: From Genes to the Brain, Wiley,
    2013.'
date_created: 2018-12-11T11:57:31Z
date_published: 2013-08-01T00:00:00Z
date_updated: 2025-06-03T11:46:23Z
day: '01'
department:
- _id: GaTk
doi: 10.1002/9783527671632.ch08
editor:
- first_name: Misha
  full_name: Meyer, Misha
  last_name: Meyer
- first_name: Z.
  full_name: Pesenson, Z.
  last_name: Pesenson
language:
- iso: eng
month: '08'
oa_version: None
publication: 'Multiscale Analysis and Nonlinear Dynamics: From Genes to the Brain'
publication_identifier:
  eisbn:
  - '9783527671632'
  isbn:
  - '9783527411986 '
publication_status: published
publisher: Wiley
publist_id: '4513'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Neuronal oscillations scale up and scale down the brain dynamics '
type: book_chapter
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2013'
...
---
_id: '499'
abstract:
- lang: eng
  text: Exposure of an isogenic bacterial population to a cidal antibiotic typically
    fails to eliminate a small fraction of refractory cells. Historically, fractional
    killing has been attributed to infrequently dividing or nondividing &quot;persisters.&quot;
    Using microfluidic cultures and time-lapse microscopy, we found that Mycobacterium
    smegmatis persists by dividing in the presence of the drug isoniazid (INH). Although
    persistence in these studies was characterized by stable numbers of cells, this
    apparent stability was actually a dynamic state of balanced division and death.
    Single cells expressed catalase-peroxidase (KatG), which activates INH, in stochastic
    pulses that were negatively correlated with cell survival. These behaviors may
    reflect epigenetic effects, because KatG pulsing and death were correlated between
    sibling cells. Selection of lineages characterized by infrequent KatG pulsing
    could allow nonresponsive adaptation during prolonged drug exposure.
article_processing_charge: No
author:
- first_name: Yurichi
  full_name: Wakamoto, Yurichi
  last_name: Wakamoto
- first_name: Neraaj
  full_name: Dhar, Neraaj
  last_name: Dhar
- first_name: Remy P
  full_name: Chait, Remy P
  id: 3464AE84-F248-11E8-B48F-1D18A9856A87
  last_name: Chait
  orcid: 0000-0003-0876-3187
- first_name: Katrin
  full_name: Schneider, Katrin
  last_name: Schneider
- first_name: François
  full_name: Signorino Gelo, François
  last_name: Signorino Gelo
- first_name: Stanislas
  full_name: Leibler, Stanislas
  last_name: Leibler
- first_name: John
  full_name: Mckinney, John
  last_name: Mckinney
citation:
  ama: Wakamoto Y, Dhar N, Chait RP, et al. Dynamic persistence of antibiotic-stressed
    mycobacteria. <i>Science</i>. 2013;339(6115):91-95. doi:<a href="https://doi.org/10.1126/science.1229858">10.1126/science.1229858</a>
  apa: Wakamoto, Y., Dhar, N., Chait, R. P., Schneider, K., Signorino Gelo, F., Leibler,
    S., &#38; Mckinney, J. (2013). Dynamic persistence of antibiotic-stressed mycobacteria.
    <i>Science</i>. American Association for the Advancement of Science. <a href="https://doi.org/10.1126/science.1229858">https://doi.org/10.1126/science.1229858</a>
  chicago: Wakamoto, Yurichi, Neraaj Dhar, Remy P Chait, Katrin Schneider, François
    Signorino Gelo, Stanislas Leibler, and John Mckinney. “Dynamic Persistence of
    Antibiotic-Stressed Mycobacteria.” <i>Science</i>. American Association for the
    Advancement of Science, 2013. <a href="https://doi.org/10.1126/science.1229858">https://doi.org/10.1126/science.1229858</a>.
  ieee: Y. Wakamoto <i>et al.</i>, “Dynamic persistence of antibiotic-stressed mycobacteria,”
    <i>Science</i>, vol. 339, no. 6115. American Association for the Advancement of
    Science, pp. 91–95, 2013.
  ista: Wakamoto Y, Dhar N, Chait RP, Schneider K, Signorino Gelo F, Leibler S, Mckinney
    J. 2013. Dynamic persistence of antibiotic-stressed mycobacteria. Science. 339(6115),
    91–95.
  mla: Wakamoto, Yurichi, et al. “Dynamic Persistence of Antibiotic-Stressed Mycobacteria.”
    <i>Science</i>, vol. 339, no. 6115, American Association for the Advancement of
    Science, 2013, pp. 91–95, doi:<a href="https://doi.org/10.1126/science.1229858">10.1126/science.1229858</a>.
  short: Y. Wakamoto, N. Dhar, R.P. Chait, K. Schneider, F. Signorino Gelo, S. Leibler,
    J. Mckinney, Science 339 (2013) 91–95.
date_created: 2018-12-11T11:46:48Z
date_published: 2013-01-04T00:00:00Z
date_updated: 2025-09-30T07:29:30Z
day: '04'
department:
- _id: CaGu
- _id: GaTk
doi: 10.1126/science.1229858
external_id:
  isi:
  - '000312985800059'
intvolume: '       339'
isi: 1
issue: '6115'
language:
- iso: eng
month: '01'
oa_version: None
page: 91 - 95
publication: Science
publication_status: published
publisher: American Association for the Advancement of Science
publist_id: '7321'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Dynamic persistence of antibiotic-stressed mycobacteria
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 339
year: '2013'
...
---
_id: '3262'
abstract:
- lang: eng
  text: Living cells must control the reading out or &quot;expression&quot; of information
    encoded in their genomes, and this regulation often is mediated by transcription
    factors--proteins that bind to DNA and either enhance or repress the expression
    of nearby genes. But the expression of transcription factor proteins is itself
    regulated, and many transcription factors regulate their own expression in addition
    to responding to other input signals. Here we analyze the simplest of such self-regulatory
    circuits, asking how parameters can be chosen to optimize information transmission
    from inputs to outputs in the steady state. Some nonzero level of self-regulation
    is almost always optimal, with self-activation dominant when transcription factor
    concentrations are low and self-repression dominant when concentrations are high.
    In steady state the optimal self-activation is never strong enough to induce bistability,
    although there is a limit in which the optimal parameters are very close to the
    critical point.
acknowledgement: "We thank T. Gregor, E. F. Wieschaus, and, especially, C. G. Callan
  for helpful discussions.\r\nWork at Princeton was supported in part by NSF Grants
  No. PHY–0957573 and No. CCF–0939370, by NIH Grant No. R01 GM077599, and by the W.
  M. Keck Foundation. For part of this work, G.T. was supported in part by NSF Grant
  No. EF–0928048 and by the Vice Provost for Research at the University of Pennsylvania."
article_number: '041903'
article_processing_charge: No
arxiv: 1
author:
- first_name: Gasper
  full_name: Tkacik, Gasper
  id: 3D494DCA-F248-11E8-B48F-1D18A9856A87
  last_name: Tkacik
  orcid: 0000-0002-6699-1455
- first_name: Aleksandra
  full_name: Walczak, Aleksandra
  last_name: Walczak
- first_name: William
  full_name: Bialek, William
  last_name: Bialek
citation:
  ama: Tkačik G, Walczak A, Bialek W. Optimizing information flow in small genetic
    networks. III. A self-interacting gene. <i> Physical Review E statistical nonlinear
    and soft matter physics </i>. 2012;85(4). doi:<a href="https://doi.org/10.1103/PhysRevE.85.041903">10.1103/PhysRevE.85.041903</a>
  apa: Tkačik, G., Walczak, A., &#38; Bialek, W. (2012). Optimizing information flow
    in small genetic networks. III. A self-interacting gene. <i> Physical Review E
    Statistical Nonlinear and Soft Matter Physics </i>. American Institute of Physics.
    <a href="https://doi.org/10.1103/PhysRevE.85.041903">https://doi.org/10.1103/PhysRevE.85.041903</a>
  chicago: Tkačik, Gašper, Aleksandra Walczak, and William Bialek. “Optimizing Information
    Flow in Small Genetic Networks. III. A Self-Interacting Gene.” <i> Physical Review
    E Statistical Nonlinear and Soft Matter Physics </i>. American Institute of Physics,
    2012. <a href="https://doi.org/10.1103/PhysRevE.85.041903">https://doi.org/10.1103/PhysRevE.85.041903</a>.
  ieee: G. Tkačik, A. Walczak, and W. Bialek, “Optimizing information flow in small
    genetic networks. III. A self-interacting gene,” <i> Physical Review E statistical
    nonlinear and soft matter physics </i>, vol. 85, no. 4. American Institute of
    Physics, 2012.
  ista: Tkačik G, Walczak A, Bialek W. 2012. Optimizing information flow in small
    genetic networks. III. A self-interacting gene.  Physical Review E statistical
    nonlinear and soft matter physics . 85(4), 041903.
  mla: Tkačik, Gašper, et al. “Optimizing Information Flow in Small Genetic Networks.
    III. A Self-Interacting Gene.” <i> Physical Review E Statistical Nonlinear and
    Soft Matter Physics </i>, vol. 85, no. 4, 041903, American Institute of Physics,
    2012, doi:<a href="https://doi.org/10.1103/PhysRevE.85.041903">10.1103/PhysRevE.85.041903</a>.
  short: G. Tkačik, A. Walczak, W. Bialek,  Physical Review E Statistical Nonlinear
    and Soft Matter Physics  85 (2012).
corr_author: '1'
date_created: 2018-12-11T12:02:20Z
date_published: 2012-04-01T00:00:00Z
date_updated: 2025-09-30T07:41:44Z
day: '01'
department:
- _id: GaTk
doi: 10.1103/PhysRevE.85.041903
external_id:
  arxiv:
  - '1112.5026'
  isi:
  - '000302410200006'
intvolume: '        85'
isi: 1
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1112.5026
month: '04'
oa: 1
oa_version: Preprint
publication: ' Physical Review E statistical nonlinear and soft matter physics '
publication_status: published
publisher: American Institute of Physics
publist_id: '3386'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Optimizing information flow in small genetic networks. III. A self-interacting
  gene
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 85
year: '2012'
...
---
_id: '3274'
abstract:
- lang: eng
  text: A boundary element model of a tunnel running through horizontally layered
    soil with anisotropic material properties is presented. Since there is no analytical
    fundamental solution for wave propagation inside a layered orthotropic medium
    in 3D, the fundamental displacements and stresses have to be calculated numerically.
    In our model this is done in the Fourier domain with respect to space and time.
    The assumption of a straight tunnel with infinite extension in the x direction
    makes it possible to decouple the system for every wave number kx, leading to
    a 2.5D-problem, which is suited for parallel computation. The special form of
    the fundamental solution, resulting from our Fourier ansatz, and the fact, that
    the calculation of the boundary integral equation is performed in the Fourier
    domain, enhances the stability and efficiency of the numerical calculations.
acknowledgement: This work was supported by the Austrian Federal Ministry of Transport,
  Innovation and Technology under the Grant Bmvit-isb2 and the FFG under the project
  Pr. Nr. 809089.
article_processing_charge: No
author:
- first_name: Georg
  full_name: Rieckh, Georg
  id: 34DA8BD6-F248-11E8-B48F-1D18A9856A87
  last_name: Rieckh
- first_name: Wolfgang
  full_name: Kreuzer, Wolfgang
  last_name: Kreuzer
- first_name: Holger
  full_name: Waubke, Holger
  last_name: Waubke
- first_name: Peter
  full_name: Balazs, Peter
  last_name: Balazs
citation:
  ama: Rieckh G, Kreuzer W, Waubke H, Balazs P. A 2.5D-Fourier-BEM model for vibrations
    in a tunnel running through layered anisotropic soil. <i> Engineering Analysis
    with Boundary Elements</i>. 2012;36(6):960-967. doi:<a href="https://doi.org/10.1016/j.enganabound.2011.12.014">10.1016/j.enganabound.2011.12.014</a>
  apa: Rieckh, G., Kreuzer, W., Waubke, H., &#38; Balazs, P. (2012). A 2.5D-Fourier-BEM
    model for vibrations in a tunnel running through layered anisotropic soil. <i>
    Engineering Analysis with Boundary Elements</i>. Elsevier. <a href="https://doi.org/10.1016/j.enganabound.2011.12.014">https://doi.org/10.1016/j.enganabound.2011.12.014</a>
  chicago: Rieckh, Georg, Wolfgang Kreuzer, Holger Waubke, and Peter Balazs. “A 2.5D-Fourier-BEM
    Model for Vibrations in a Tunnel Running through Layered Anisotropic Soil.” <i>
    Engineering Analysis with Boundary Elements</i>. Elsevier, 2012. <a href="https://doi.org/10.1016/j.enganabound.2011.12.014">https://doi.org/10.1016/j.enganabound.2011.12.014</a>.
  ieee: G. Rieckh, W. Kreuzer, H. Waubke, and P. Balazs, “A 2.5D-Fourier-BEM model
    for vibrations in a tunnel running through layered anisotropic soil,” <i> Engineering
    Analysis with Boundary Elements</i>, vol. 36, no. 6. Elsevier, pp. 960–967, 2012.
  ista: Rieckh G, Kreuzer W, Waubke H, Balazs P. 2012. A 2.5D-Fourier-BEM model for
    vibrations in a tunnel running through layered anisotropic soil.  Engineering
    Analysis with Boundary Elements. 36(6), 960–967.
  mla: Rieckh, Georg, et al. “A 2.5D-Fourier-BEM Model for Vibrations in a Tunnel
    Running through Layered Anisotropic Soil.” <i> Engineering Analysis with Boundary
    Elements</i>, vol. 36, no. 6, Elsevier, 2012, pp. 960–67, doi:<a href="https://doi.org/10.1016/j.enganabound.2011.12.014">10.1016/j.enganabound.2011.12.014</a>.
  short: G. Rieckh, W. Kreuzer, H. Waubke, P. Balazs,  Engineering Analysis with Boundary
    Elements 36 (2012) 960–967.
corr_author: '1'
date_created: 2018-12-11T12:02:24Z
date_published: 2012-06-01T00:00:00Z
date_updated: 2025-09-30T07:41:13Z
day: '01'
department:
- _id: GaTk
doi: 10.1016/j.enganabound.2011.12.014
external_id:
  isi:
  - '000301691600005'
intvolume: '        36'
isi: 1
issue: '6'
language:
- iso: eng
month: '06'
oa_version: None
page: 960 - 967
publication: ' Engineering Analysis with Boundary Elements'
publication_status: published
publisher: Elsevier
publist_id: '3372'
quality_controlled: '1'
scopus_import: '1'
status: public
title: A 2.5D-Fourier-BEM model for vibrations in a tunnel running through layered
  anisotropic soil
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 36
year: '2012'
...
---
_id: '3374'
abstract:
- lang: eng
  text: Genetic regulatory networks enable cells to respond to changes in internal
    and external conditions by dynamically coordinating their gene expression profiles.
    Our ability to make quantitative measurements in these biochemical circuits has
    deepened our understanding of what kinds of computations genetic regulatory networks
    can perform, and with what reliability. These advances have motivated researchers
    to look for connections between the architecture and function of genetic regulatory
    networks. Transmitting information between a network's inputs and outputs has
    been proposed as one such possible measure of function, relevant in certain biological
    contexts. Here we summarize recent developments in the application of information
    theory to gene regulatory networks. We first review basic concepts in information
    theory necessary for understanding recent work. We then discuss the functional
    complexity of gene regulation, which arises from the molecular nature of the regulatory
    interactions. We end by reviewing some experiments that support the view that
    genetic networks responsible for early development of multicellular organisms
    might be maximizing transmitted 'positional information'.
article_number: '153102'
article_processing_charge: No
arxiv: 1
author:
- first_name: Gasper
  full_name: Tkacik, Gasper
  id: 3D494DCA-F248-11E8-B48F-1D18A9856A87
  last_name: Tkacik
  orcid: 0000-0002-6699-1455
- first_name: Aleksandra
  full_name: Walczak, Aleksandra
  last_name: Walczak
citation:
  ama: 'Tkačik G, Walczak A. Information transmission in genetic regulatory networks
    a review. <i>Journal of Physics: Condensed Matter</i>. 2011;23(15). doi:<a href="https://doi.org/10.1088/0953-8984/23/15/153102">10.1088/0953-8984/23/15/153102</a>'
  apa: 'Tkačik, G., &#38; Walczak, A. (2011). Information transmission in genetic
    regulatory networks a review. <i>Journal of Physics: Condensed Matter</i>. IOP
    Publishing. <a href="https://doi.org/10.1088/0953-8984/23/15/153102">https://doi.org/10.1088/0953-8984/23/15/153102</a>'
  chicago: 'Tkačik, Gašper, and Aleksandra Walczak. “Information Transmission in Genetic
    Regulatory Networks a Review.” <i>Journal of Physics: Condensed Matter</i>. IOP
    Publishing, 2011. <a href="https://doi.org/10.1088/0953-8984/23/15/153102">https://doi.org/10.1088/0953-8984/23/15/153102</a>.'
  ieee: 'G. Tkačik and A. Walczak, “Information transmission in genetic regulatory
    networks a review,” <i>Journal of Physics: Condensed Matter</i>, vol. 23, no.
    15. IOP Publishing, 2011.'
  ista: 'Tkačik G, Walczak A. 2011. Information transmission in genetic regulatory
    networks a review. Journal of Physics: Condensed Matter. 23(15), 153102.'
  mla: 'Tkačik, Gašper, and Aleksandra Walczak. “Information Transmission in Genetic
    Regulatory Networks a Review.” <i>Journal of Physics: Condensed Matter</i>, vol.
    23, no. 15, 153102, IOP Publishing, 2011, doi:<a href="https://doi.org/10.1088/0953-8984/23/15/153102">10.1088/0953-8984/23/15/153102</a>.'
  short: 'G. Tkačik, A. Walczak, Journal of Physics: Condensed Matter 23 (2011).'
corr_author: '1'
date_created: 2018-12-11T12:02:58Z
date_published: 2011-04-01T00:00:00Z
date_updated: 2025-09-30T08:56:23Z
day: '01'
department:
- _id: GaTk
doi: 10.1088/0953-8984/23/15/153102
external_id:
  arxiv:
  - '1101.4240'
  isi:
  - '000289199800002'
intvolume: '        23'
isi: 1
issue: '15'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1101.4240
month: '04'
oa: 1
oa_version: Submitted Version
publication: 'Journal of Physics: Condensed Matter'
publication_status: published
publisher: IOP Publishing
publist_id: '3233'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Information transmission in genetic regulatory networks a review
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 23
year: '2011'
...
---
_id: '3384'
abstract:
- lang: eng
  text: Here we introduce a database of calibrated natural images publicly available
    through an easy-to-use web interface. Using a Nikon D70 digital SLR camera, we
    acquired about  six-megapixel images of Okavango Delta of Botswana, a tropical
    savanna habitat similar to where the human eye is thought to have evolved. Some
    sequences of images were captured unsystematically while following a baboon troop,
    while others were designed to vary a single parameter such as aperture, object
    distance, time of day or position on the horizon. Images are available in the
    raw RGB format and in grayscale. Images are also available in units relevant to
    the physiology of human cone photoreceptors, where pixel values represent the
    expected number of photoisomerizations per second for cones sensitive to long
    (L), medium (M) and short (S) wavelengths. This database is distributed under
    a Creative Commons Attribution-Noncommercial Unported license to facilitate research
    in computer vision, psychophysics of perception, and visual neuroscience.
article_number: e20409
article_processing_charge: No
author:
- first_name: Gasper
  full_name: Tkacik, Gasper
  id: 3D494DCA-F248-11E8-B48F-1D18A9856A87
  last_name: Tkacik
  orcid: 0000-0002-6699-1455
- first_name: Patrick
  full_name: Garrigan, Patrick
  last_name: Garrigan
- first_name: Charles
  full_name: Ratliff, Charles
  last_name: Ratliff
- first_name: Grega
  full_name: Milcinski, Grega
  last_name: Milcinski
- first_name: Jennifer
  full_name: Klein, Jennifer
  last_name: Klein
- first_name: Lucia
  full_name: Seyfarth, Lucia
  last_name: Seyfarth
- first_name: Peter
  full_name: Sterling, Peter
  last_name: Sterling
- first_name: David
  full_name: Brainard, David
  last_name: Brainard
- first_name: Vijay
  full_name: Balasubramanian, Vijay
  last_name: Balasubramanian
citation:
  ama: Tkačik G, Garrigan P, Ratliff C, et al. Natural images from the birthplace
    of the human eye. <i>PLoS One</i>. 2011;6(6). doi:<a href="https://doi.org/10.1371/journal.pone.0020409">10.1371/journal.pone.0020409</a>
  apa: Tkačik, G., Garrigan, P., Ratliff, C., Milcinski, G., Klein, J., Seyfarth,
    L., … Balasubramanian, V. (2011). Natural images from the birthplace of the human
    eye. <i>PLoS One</i>. Public Library of Science. <a href="https://doi.org/10.1371/journal.pone.0020409">https://doi.org/10.1371/journal.pone.0020409</a>
  chicago: Tkačik, Gašper, Patrick Garrigan, Charles Ratliff, Grega Milcinski, Jennifer
    Klein, Lucia Seyfarth, Peter Sterling, David Brainard, and Vijay Balasubramanian.
    “Natural Images from the Birthplace of the Human Eye.” <i>PLoS One</i>. Public
    Library of Science, 2011. <a href="https://doi.org/10.1371/journal.pone.0020409">https://doi.org/10.1371/journal.pone.0020409</a>.
  ieee: G. Tkačik <i>et al.</i>, “Natural images from the birthplace of the human
    eye,” <i>PLoS One</i>, vol. 6, no. 6. Public Library of Science, 2011.
  ista: Tkačik G, Garrigan P, Ratliff C, Milcinski G, Klein J, Seyfarth L, Sterling
    P, Brainard D, Balasubramanian V. 2011. Natural images from the birthplace of
    the human eye. PLoS One. 6(6), e20409.
  mla: Tkačik, Gašper, et al. “Natural Images from the Birthplace of the Human Eye.”
    <i>PLoS One</i>, vol. 6, no. 6, e20409, Public Library of Science, 2011, doi:<a
    href="https://doi.org/10.1371/journal.pone.0020409">10.1371/journal.pone.0020409</a>.
  short: G. Tkačik, P. Garrigan, C. Ratliff, G. Milcinski, J. Klein, L. Seyfarth,
    P. Sterling, D. Brainard, V. Balasubramanian, PLoS One 6 (2011).
corr_author: '1'
date_created: 2018-12-11T12:03:01Z
date_published: 2011-06-16T00:00:00Z
date_updated: 2025-09-30T08:47:57Z
day: '16'
ddc:
- '570'
department:
- _id: GaTk
doi: 10.1371/journal.pone.0020409
external_id:
  isi:
  - '000291734100007'
file:
- access_level: open_access
  checksum: 307d4356916471306e3705ac65b82fa1
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:09:25Z
  date_updated: 2020-07-14T12:46:11Z
  file_id: '4749'
  file_name: IST-2015-379-v1+1_journal.pone.0020409.pdf
  file_size: 1424768
  relation: main_file
file_date_updated: 2020-07-14T12:46:11Z
has_accepted_license: '1'
intvolume: '         6'
isi: 1
issue: '6'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
publication: PLoS One
publication_status: published
publisher: Public Library of Science
publist_id: '3223'
pubrep_id: '379'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Natural images from the birthplace of the human eye
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: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 6
year: '2011'
...
