---
_id: '2512'
abstract:
- lang: eng
  text: GABAergic inhibition plays a central role in the control of pyramidal cell
    ensemble activities; thus, any signaling mechanism that regulates inhibition is
    able to fine-tune network patterns. Here, we provide evidence that the retrograde
    nitric oxide (NO)- cGMP cascade triggered by NMDA receptor (NMDAR) activation
    plays a role in the control of hippocampal GABAergic transmission in mice. GABAergic
    synapses express neuronal nitric oxide synthase (nNOS) postsynaptically and NO
    receptors (NO-sensitive guanylyl cyclase) in the presynaptic terminals. We hypothesized
    that-similar to glutamatergic synapses-the Ca 2+ transients required to activate
    nNOS were provided by NMDA receptor activation. Indeed, administration of 5 μm
    NMDA induced a robust nNOS-dependent cGMP production in GABAergic terminals, selectively
    in the CA1 and CA3c areas. Furthermore, using preembedding, postembedding, and
    SDS-digested freeze-fracture replica immunogold labeling, we provided quantitative
    immunocytochemical evidence that NMDAR subunits GluN1, GluN2A, and GluN2B were
    present in most somatic GABAergic synapses postsynaptically. These data indicate
    that NMDARs can modulate hippocampal GABAergic inhibition via NO- cGMP signaling
    in an activity-dependent manner and that this effect is subregion specific in
    the mouse hippocampus.
author:
- first_name: Eszter
  full_name: Szabadits, Eszter
  last_name: Szabadits
- first_name: Csaba
  full_name: Cserép, Csaba
  last_name: Cserép
- first_name: András
  full_name: Szonyi, András
  last_name: Szonyi
- first_name: Yugo
  full_name: Fukazawa, Yugo
  last_name: Fukazawa
- first_name: Ryuichi
  full_name: Ryuichi Shigemoto
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
- first_name: Masahiko
  full_name: Watanabe, Masahiko
  last_name: Watanabe
- first_name: Shigeyoshi
  full_name: Itohara, Shigeyoshi
  last_name: Itohara
- first_name: Tamás
  full_name: Freund, Tamás F
  last_name: Freund
- first_name: Gábor
  full_name: Nyíri, Gábor
  last_name: Nyíri
citation:
  ama: Szabadits E, Cserép C, Szonyi A, et al. NMDA receptors in hippocampal GABAergic
    synapses and their role in nitric oxide signaling. <i>Journal of Neuroscience</i>.
    2011;31(16):5893-5904. doi:<a href="https://doi.org/10.1523/JNEUROSCI.5938-10.2011">10.1523/JNEUROSCI.5938-10.2011</a>
  apa: Szabadits, E., Cserép, C., Szonyi, A., Fukazawa, Y., Shigemoto, R., Watanabe,
    M., … Nyíri, G. (2011). NMDA receptors in hippocampal GABAergic synapses and their
    role in nitric oxide signaling. <i>Journal of Neuroscience</i>. Society for Neuroscience.
    <a href="https://doi.org/10.1523/JNEUROSCI.5938-10.2011">https://doi.org/10.1523/JNEUROSCI.5938-10.2011</a>
  chicago: Szabadits, Eszter, Csaba Cserép, András Szonyi, Yugo Fukazawa, Ryuichi
    Shigemoto, Masahiko Watanabe, Shigeyoshi Itohara, Tamás Freund, and Gábor Nyíri.
    “NMDA Receptors in Hippocampal GABAergic Synapses and Their Role in Nitric Oxide
    Signaling.” <i>Journal of Neuroscience</i>. Society for Neuroscience, 2011. <a
    href="https://doi.org/10.1523/JNEUROSCI.5938-10.2011">https://doi.org/10.1523/JNEUROSCI.5938-10.2011</a>.
  ieee: E. Szabadits <i>et al.</i>, “NMDA receptors in hippocampal GABAergic synapses
    and their role in nitric oxide signaling,” <i>Journal of Neuroscience</i>, vol.
    31, no. 16. Society for Neuroscience, pp. 5893–5904, 2011.
  ista: Szabadits E, Cserép C, Szonyi A, Fukazawa Y, Shigemoto R, Watanabe M, Itohara
    S, Freund T, Nyíri G. 2011. NMDA receptors in hippocampal GABAergic synapses and
    their role in nitric oxide signaling. Journal of Neuroscience. 31(16), 5893–5904.
  mla: Szabadits, Eszter, et al. “NMDA Receptors in Hippocampal GABAergic Synapses
    and Their Role in Nitric Oxide Signaling.” <i>Journal of Neuroscience</i>, vol.
    31, no. 16, Society for Neuroscience, 2011, pp. 5893–904, doi:<a href="https://doi.org/10.1523/JNEUROSCI.5938-10.2011">10.1523/JNEUROSCI.5938-10.2011</a>.
  short: E. Szabadits, C. Cserép, A. Szonyi, Y. Fukazawa, R. Shigemoto, M. Watanabe,
    S. Itohara, T. Freund, G. Nyíri, Journal of Neuroscience 31 (2011) 5893–5904.
date_created: 2018-12-11T11:58:06Z
date_published: 2011-04-20T00:00:00Z
date_updated: 2021-01-12T06:57:56Z
day: '20'
doi: 10.1523/JNEUROSCI.5938-10.2011
extern: 1
intvolume: '        31'
issue: '16'
month: '04'
page: 5893 - 5904
publication: Journal of Neuroscience
publication_status: published
publisher: Society for Neuroscience
publist_id: '4389'
quality_controlled: 0
status: public
title: NMDA receptors in hippocampal GABAergic synapses and their role in nitric oxide
  signaling
type: journal_article
volume: 31
year: '2011'
...
---
_id: '2513'
abstract:
- lang: eng
  text: 'SK2-containing channels are expressed in the postsynaptic density (PSD) of
    dendritic spines on mouse hippocampal area CA1 pyramidal neurons and influence
    synaptic responses, plasticity and learning. The Sk2 gene (also known as Kcnn2)
    encodes two isoforms that differ only in the length of their N-terminal domains.
    SK2-long (SK2-L) and SK2-short (SK2-S) are coexpressed in CA1 pyramidal neurons
    and likely form heteromeric channels. In mice lacking SK2-L (SK2-S only mice),
    SK2-S-containing channels were expressed in the extrasynaptic membrane, but were
    excluded from the PSD. The SK channel contribution to excitatory postsynaptic
    potentials was absent in SK2-S only mice and was restored by SK2-L re-expression.
    Blocking SK channels increased the amount of long-term potentiation induced in
    area CA1 in slices from wild-type mice but had no effect in slices from SK2-S
    only mice. Furthermore, SK2-S only mice outperformed wild-type mice in the novel
    object recognition task. These results indicate that SK2-L directs synaptic SK2-containing
    channel expression and is important for normal synaptic signaling, plasticity
    and learning. '
author:
- first_name: Duane
  full_name: Allen, Duane H
  last_name: Allen
- first_name: Chris
  full_name: Bond, Chris T
  last_name: Bond
- first_name: Rafael
  full_name: Luján, Rafael
  last_name: Luján
- first_name: Carmen
  full_name: Ballesteros-Merino, Carmen
  last_name: Ballesteros Merino
- first_name: Michael
  full_name: Lin, Michael T
  last_name: Lin
- first_name: Kang
  full_name: Wang, Kang
  last_name: Wang
- first_name: Nathan
  full_name: Klett, Nathan
  last_name: Klett
- first_name: Masahiko
  full_name: Watanabe, Masahiko
  last_name: Watanabe
- first_name: Ryuichi
  full_name: Ryuichi Shigemoto
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
- first_name: Robert
  full_name: Stackman, Robert W
  last_name: Stackman
- first_name: James
  full_name: Maylie, James G
  last_name: Maylie
- first_name: John
  full_name: Adelman, John P
  last_name: Adelman
citation:
  ama: Allen D, Bond C, Luján R, et al. The SK2-long isoform directs synaptic localization
    and function of SK2-containing channels. <i>Nature Neuroscience</i>. 2011;14(6):744-749.
    doi:<a href="https://doi.org/10.1038/nn.2832">10.1038/nn.2832</a>
  apa: Allen, D., Bond, C., Luján, R., Ballesteros Merino, C., Lin, M., Wang, K.,
    … Adelman, J. (2011). The SK2-long isoform directs synaptic localization and function
    of SK2-containing channels. <i>Nature Neuroscience</i>. Nature Publishing Group.
    <a href="https://doi.org/10.1038/nn.2832">https://doi.org/10.1038/nn.2832</a>
  chicago: Allen, Duane, Chris Bond, Rafael Luján, Carmen Ballesteros Merino, Michael
    Lin, Kang Wang, Nathan Klett, et al. “The SK2-Long Isoform Directs Synaptic Localization
    and Function of SK2-Containing Channels.” <i>Nature Neuroscience</i>. Nature Publishing
    Group, 2011. <a href="https://doi.org/10.1038/nn.2832">https://doi.org/10.1038/nn.2832</a>.
  ieee: D. Allen <i>et al.</i>, “The SK2-long isoform directs synaptic localization
    and function of SK2-containing channels,” <i>Nature Neuroscience</i>, vol. 14,
    no. 6. Nature Publishing Group, pp. 744–749, 2011.
  ista: Allen D, Bond C, Luján R, Ballesteros Merino C, Lin M, Wang K, Klett N, Watanabe
    M, Shigemoto R, Stackman R, Maylie J, Adelman J. 2011. The SK2-long isoform directs
    synaptic localization and function of SK2-containing channels. Nature Neuroscience.
    14(6), 744–749.
  mla: Allen, Duane, et al. “The SK2-Long Isoform Directs Synaptic Localization and
    Function of SK2-Containing Channels.” <i>Nature Neuroscience</i>, vol. 14, no.
    6, Nature Publishing Group, 2011, pp. 744–49, doi:<a href="https://doi.org/10.1038/nn.2832">10.1038/nn.2832</a>.
  short: D. Allen, C. Bond, R. Luján, C. Ballesteros Merino, M. Lin, K. Wang, N. Klett,
    M. Watanabe, R. Shigemoto, R. Stackman, J. Maylie, J. Adelman, Nature Neuroscience
    14 (2011) 744–749.
date_created: 2018-12-11T11:58:07Z
date_published: 2011-06-01T00:00:00Z
date_updated: 2021-01-12T06:57:56Z
day: '01'
doi: 10.1038/nn.2832
extern: 1
intvolume: '        14'
issue: '6'
month: '06'
page: 744 - 749
publication: Nature Neuroscience
publication_status: published
publisher: Nature Publishing Group
publist_id: '4388'
quality_controlled: 0
status: public
title: The SK2-long isoform directs synaptic localization and function of SK2-containing
  channels
type: journal_article
volume: 14
year: '2011'
...
---
_id: '2717'
abstract:
- lang: eng
  text: 'We consider Hermitian and symmetric random band matrices H in d ≥ 1 dimensions.
    The matrix elements H xy, indexed by, are independent, uniformly distributed random
    variables if {pipe}x-y{pipe} is less than the band width W, and zero otherwise.
    We prove that the time evolution of a quantum particle subject to the Hamiltonian
    H is diffusive on time scales. We also show that the localization length of the
    eigenvectors of H is larger than a factor W d/6 times the band width. All results
    are uniform in the size of the matrix. '
author:
- first_name: László
  full_name: László Erdös
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: Antti
  full_name: Knowles, Antti
  last_name: Knowles
citation:
  ama: Erdös L, Knowles A. Quantum diffusion and eigenfunction delocalization in a
    random band matrix model. <i>Communications in Mathematical Physics</i>. 2011;303(2):509-554.
    doi:<a href="https://doi.org/10.1007/s00220-011-1204-2">10.1007/s00220-011-1204-2</a>
  apa: Erdös, L., &#38; Knowles, A. (2011). Quantum diffusion and eigenfunction delocalization
    in a random band matrix model. <i>Communications in Mathematical Physics</i>.
    Springer. <a href="https://doi.org/10.1007/s00220-011-1204-2">https://doi.org/10.1007/s00220-011-1204-2</a>
  chicago: Erdös, László, and Antti Knowles. “Quantum Diffusion and Eigenfunction
    Delocalization in a Random Band Matrix Model.” <i>Communications in Mathematical
    Physics</i>. Springer, 2011. <a href="https://doi.org/10.1007/s00220-011-1204-2">https://doi.org/10.1007/s00220-011-1204-2</a>.
  ieee: L. Erdös and A. Knowles, “Quantum diffusion and eigenfunction delocalization
    in a random band matrix model,” <i>Communications in Mathematical Physics</i>,
    vol. 303, no. 2. Springer, pp. 509–554, 2011.
  ista: Erdös L, Knowles A. 2011. Quantum diffusion and eigenfunction delocalization
    in a random band matrix model. Communications in Mathematical Physics. 303(2),
    509–554.
  mla: Erdös, László, and Antti Knowles. “Quantum Diffusion and Eigenfunction Delocalization
    in a Random Band Matrix Model.” <i>Communications in Mathematical Physics</i>,
    vol. 303, no. 2, Springer, 2011, pp. 509–54, doi:<a href="https://doi.org/10.1007/s00220-011-1204-2">10.1007/s00220-011-1204-2</a>.
  short: L. Erdös, A. Knowles, Communications in Mathematical Physics 303 (2011) 509–554.
date_created: 2018-12-11T11:59:14Z
date_published: 2011-04-01T00:00:00Z
date_updated: 2021-01-12T06:59:15Z
day: '01'
doi: 10.1007/s00220-011-1204-2
extern: 1
intvolume: '       303'
issue: '2'
month: '04'
page: 509 - 554
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4175'
quality_controlled: 0
status: public
title: Quantum diffusion and eigenfunction delocalization in a random band matrix
  model
type: journal_article
volume: 303
year: '2011'
...
---
_id: '2764'
abstract:
- lang: eng
  text: Consider the Dyson Brownian motion with parameter β, where β=1,2,4 corresponds
    to the eigenvalue flows for the eigenvalues of symmetric, hermitian and quaternion
    self-dual ensembles. For any β≥1, we prove that the relaxation time to local equilibrium
    for the Dyson Brownian motion is bounded above by N -ζ for some ζ&gt; 0. The proof
    is based on an estimate of the entropy flow of the Dyson Brownian motion w. r.
    t. a &quot;pseudo equilibrium measure&quot;. As an application of this estimate,
    we prove that the eigenvalue spacing statistics in the bulk of the spectrum for
    N×N symmetric Wigner ensemble is the same as that of the Gaussian Orthogonal Ensemble
    (GOE) in the limit N→∞. The assumptions on the probability distribution of the
    matrix elements of the Wigner ensemble are a subexponential decay and some minor
    restriction on the support.
author:
- first_name: László
  full_name: László Erdös
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: Benjamin
  full_name: Schlein, Benjamin
  last_name: Schlein
- first_name: Horng
  full_name: Yau, Horng-Tzer
  last_name: Yau
citation:
  ama: Erdös L, Schlein B, Yau H. Universality of random matrices and local relaxation
    flow. <i>Inventiones Mathematicae</i>. 2011;185(1):75-119. doi:<a href="https://doi.org/10.1007/s00222-010-0302-7">10.1007/s00222-010-0302-7</a>
  apa: Erdös, L., Schlein, B., &#38; Yau, H. (2011). Universality of random matrices
    and local relaxation flow. <i>Inventiones Mathematicae</i>. Springer. <a href="https://doi.org/10.1007/s00222-010-0302-7">https://doi.org/10.1007/s00222-010-0302-7</a>
  chicago: Erdös, László, Benjamin Schlein, and Horng Yau. “Universality of Random
    Matrices and Local Relaxation Flow.” <i>Inventiones Mathematicae</i>. Springer,
    2011. <a href="https://doi.org/10.1007/s00222-010-0302-7">https://doi.org/10.1007/s00222-010-0302-7</a>.
  ieee: L. Erdös, B. Schlein, and H. Yau, “Universality of random matrices and local
    relaxation flow,” <i>Inventiones Mathematicae</i>, vol. 185, no. 1. Springer,
    pp. 75–119, 2011.
  ista: Erdös L, Schlein B, Yau H. 2011. Universality of random matrices and local
    relaxation flow. Inventiones Mathematicae. 185(1), 75–119.
  mla: Erdös, László, et al. “Universality of Random Matrices and Local Relaxation
    Flow.” <i>Inventiones Mathematicae</i>, vol. 185, no. 1, Springer, 2011, pp. 75–119,
    doi:<a href="https://doi.org/10.1007/s00222-010-0302-7">10.1007/s00222-010-0302-7</a>.
  short: L. Erdös, B. Schlein, H. Yau, Inventiones Mathematicae 185 (2011) 75–119.
date_created: 2018-12-11T11:59:29Z
date_published: 2011-07-01T00:00:00Z
date_updated: 2021-01-12T06:59:32Z
day: '01'
doi: 10.1007/s00222-010-0302-7
extern: 1
intvolume: '       185'
issue: '1'
month: '07'
page: 75 - 119
publication: Inventiones Mathematicae
publication_status: published
publisher: Springer
publist_id: '4126'
quality_controlled: 0
status: public
title: Universality of random matrices and local relaxation flow
type: journal_article
volume: 185
year: '2011'
...
---
_id: '2765'
abstract:
- lang: eng
  text: 'This is a study of the universality of spectral statistics for large random
    matrices. Considered are N×N symmetric, Hermitian, or quaternion self-dual random
    matrices with independent identically distributed entries (Wigner matrices), where
    the probability distribution of each matrix element is given by a measure v with
    zero expectation and with subexponential decay. The main result is that the correlation
    functions of the local eigenvalue statistics in the bulk of the spectrum coincide
    with those of the Gaussian Orthogonal Ensemble (GOE), the Gaussian Unitary Ensemble
    (GUE), and the Gaussian Symplectic Ensemble (GSE), respectively, in the limit
    as N → ∞. This approach is based on a study of the Dyson Brownian motion via a
    related new dynamics, the local relaxation flow. As a main input, it is established
    that the density of the eigenvalues converges to the Wigner semicircle law, and
    this holds even down to the smallest possible scale. Moreover, it is shown that
    the eigenvectors are completely delocalized. These results hold even without the
    condition that the matrix elements are identically distributed: only independence
    is used. In fact, for the matrix elements of the Green function strong estimates
    are given that imply that the local statistics of any two ensembles in the bulk
    are identical if the first four moments of the matrix elements match. Universality
    at the spectral edges requires matching only two moments. A Wigner-type estimate
    is also proved, and it is shown that the eigenvalues repel each other on arbitrarily
    small scales.'
author:
- first_name: László
  full_name: László Erdös
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
citation:
  ama: 'Erdös L. Universality of Wigner random matrices: A survey of recent results.
    <i>Russian Mathematical Surveys</i>. 2011;66(3):507-626. doi:<a href="https://doi.org/10.1070/RM2011v066n03ABEH004749">10.1070/RM2011v066n03ABEH004749</a>'
  apa: 'Erdös, L. (2011). Universality of Wigner random matrices: A survey of recent
    results. <i>Russian Mathematical Surveys</i>. IOP Publishing Ltd. <a href="https://doi.org/10.1070/RM2011v066n03ABEH004749">https://doi.org/10.1070/RM2011v066n03ABEH004749</a>'
  chicago: 'Erdös, László. “Universality of Wigner Random Matrices: A Survey of Recent
    Results.” <i>Russian Mathematical Surveys</i>. IOP Publishing Ltd., 2011. <a href="https://doi.org/10.1070/RM2011v066n03ABEH004749">https://doi.org/10.1070/RM2011v066n03ABEH004749</a>.'
  ieee: 'L. Erdös, “Universality of Wigner random matrices: A survey of recent results,”
    <i>Russian Mathematical Surveys</i>, vol. 66, no. 3. IOP Publishing Ltd., pp.
    507–626, 2011.'
  ista: 'Erdös L. 2011. Universality of Wigner random matrices: A survey of recent
    results. Russian Mathematical Surveys. 66(3), 507–626.'
  mla: 'Erdös, László. “Universality of Wigner Random Matrices: A Survey of Recent
    Results.” <i>Russian Mathematical Surveys</i>, vol. 66, no. 3, IOP Publishing
    Ltd., 2011, pp. 507–626, doi:<a href="https://doi.org/10.1070/RM2011v066n03ABEH004749">10.1070/RM2011v066n03ABEH004749</a>.'
  short: L. Erdös, Russian Mathematical Surveys 66 (2011) 507–626.
date_created: 2018-12-11T11:59:29Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2019-04-26T07:22:20Z
day: '01'
doi: 10.1070/RM2011v066n03ABEH004749
extern: 1
intvolume: '        66'
issue: '3'
main_file_link:
- open_access: '0'
  url: http://arxiv.org/abs/1004.0861
month: '01'
page: 507 - 626
publication: Russian Mathematical Surveys
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '4125'
quality_controlled: 0
status: public
title: 'Universality of Wigner random matrices: A survey of recent results'
type: review
volume: 66
year: '2011'
...
---
_id: '2766'
abstract:
- lang: eng
  text: We consider Hermitian and symmetric random band matrices H in d ≥ dimensions.
    The matrix elements Hxy, indexed by x,y ∈ Λ ⊂ ℤd are independent and their variances
    satisfy σ2xy:= E{pipe}Hxy{pipe}2 = W-d f((x-y)/W for some probability density
    f. We assume that the law of each matrix element Hxy is symmetric and exhibits
    subexponential decay. We prove that the time evolution of a quantum particle subject
    to the Hamiltonian H is diffusive on time scales ≪ Wd/3. We also show that the
    localization length of the eigenvectors of H is larger than a factor Wd/6 times
    the band width W. All results are uniform in the size {pipe}Λ{pipe} of the matrix.
    This extends our recent result (Erdo{double acute}s and Knowles in Commun. Math.
    Phys., 2011) to general band matrices. As another consequence of our proof we
    show that, for a larger class of random matrices satisfying Σx σ2xy for all y,
    the largest eigenvalue of H is bounded with high probability by 2+M-2/3+e{open}
    for any e{open} &gt; 0, where M:= 1/(maxx,y σ2xy).
author:
- first_name: László
  full_name: László Erdös
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: Antti
  full_name: Knowles, Antti
  last_name: Knowles
citation:
  ama: Erdös L, Knowles A. Quantum diffusion and delocalization for band matrices
    with general distribution. <i>Annales Henri Poincare</i>. 2011;12(7):1227-1319.
    doi:<a href="https://doi.org/10.1007/s00023-011-0104-5">10.1007/s00023-011-0104-5</a>
  apa: Erdös, L., &#38; Knowles, A. (2011). Quantum diffusion and delocalization for
    band matrices with general distribution. <i>Annales Henri Poincare</i>. Birkhäuser.
    <a href="https://doi.org/10.1007/s00023-011-0104-5">https://doi.org/10.1007/s00023-011-0104-5</a>
  chicago: Erdös, László, and Antti Knowles. “Quantum Diffusion and Delocalization
    for Band Matrices with General Distribution.” <i>Annales Henri Poincare</i>. Birkhäuser,
    2011. <a href="https://doi.org/10.1007/s00023-011-0104-5">https://doi.org/10.1007/s00023-011-0104-5</a>.
  ieee: L. Erdös and A. Knowles, “Quantum diffusion and delocalization for band matrices
    with general distribution,” <i>Annales Henri Poincare</i>, vol. 12, no. 7. Birkhäuser,
    pp. 1227–1319, 2011.
  ista: Erdös L, Knowles A. 2011. Quantum diffusion and delocalization for band matrices
    with general distribution. Annales Henri Poincare. 12(7), 1227–1319.
  mla: Erdös, László, and Antti Knowles. “Quantum Diffusion and Delocalization for
    Band Matrices with General Distribution.” <i>Annales Henri Poincare</i>, vol.
    12, no. 7, Birkhäuser, 2011, pp. 1227–319, doi:<a href="https://doi.org/10.1007/s00023-011-0104-5">10.1007/s00023-011-0104-5</a>.
  short: L. Erdös, A. Knowles, Annales Henri Poincare 12 (2011) 1227–1319.
date_created: 2018-12-11T11:59:29Z
date_published: 2011-11-01T00:00:00Z
date_updated: 2021-01-12T06:59:33Z
day: '01'
doi: 10.1007/s00023-011-0104-5
extern: 1
intvolume: '        12'
issue: '7'
month: '11'
page: 1227 - 1319
publication: Annales Henri Poincare
publication_status: published
publisher: Birkhäuser
publist_id: '4124'
quality_controlled: 0
status: public
title: Quantum diffusion and delocalization for band matrices with general distribution
type: journal_article
volume: 12
year: '2011'
...
---
_id: '2799'
abstract:
- lang: eng
  text: Shear flows undergo a sudden transition from laminar to turbulent motion as
    the velocity increases, and the onset of turbulence radically changes transport
    efficiency and mixing properties. Even for the well-studied case of pipe flow,
    it has not been possible to determine at what Reynolds number the motion will
    be either persistently turbulent or ultimately laminar. We show that in pipes,
    turbulence that is transient at low Reynolds numbers becomes sustained at a distinct
    critical point. Through extensive experiments and computer simulations, we were
    able to identify and characterize the processes ultimately responsible for sustaining
    turbulence. In contrast to the classical Landau-Ruelle-Takens view that turbulence
    arises from an increase in the temporal complexity of fluid motion, here, spatial
    proliferation of chaotic domains is the decisive process and intrinsic to the
    nature of fluid turbulence.
author:
- first_name: Kerstin
  full_name: Avila, Kerstin
  last_name: Avila
- first_name: David
  full_name: Moxey, David
  last_name: Moxey
- first_name: Alberto
  full_name: de Lózar, Alberto
  last_name: De Lózar
- first_name: Marc
  full_name: Avila, Marc
  last_name: Avila
- first_name: Dwight
  full_name: Barkley, Dwight
  last_name: Barkley
- first_name: Björn
  full_name: Björn Hof
  id: 3A374330-F248-11E8-B48F-1D18A9856A87
  last_name: Hof
  orcid: 0000-0003-2057-2754
citation:
  ama: Avila K, Moxey D, De Lózar A, Avila M, Barkley D, Hof B. The onset of turbulence
    in pipe flow. <i>Science</i>. 2011;333(6039):192-196. doi:<a href="https://doi.org/10.1126/science.1203223">10.1126/science.1203223</a>
  apa: Avila, K., Moxey, D., De Lózar, A., Avila, M., Barkley, D., &#38; Hof, B. (2011).
    The onset of turbulence in pipe flow. <i>Science</i>. American Association for
    the Advancement of Science. <a href="https://doi.org/10.1126/science.1203223">https://doi.org/10.1126/science.1203223</a>
  chicago: Avila, Kerstin, David Moxey, Alberto De Lózar, Marc Avila, Dwight Barkley,
    and Björn Hof. “The Onset of Turbulence in Pipe Flow.” <i>Science</i>. American
    Association for the Advancement of Science, 2011. <a href="https://doi.org/10.1126/science.1203223">https://doi.org/10.1126/science.1203223</a>.
  ieee: K. Avila, D. Moxey, A. De Lózar, M. Avila, D. Barkley, and B. Hof, “The onset
    of turbulence in pipe flow,” <i>Science</i>, vol. 333, no. 6039. American Association
    for the Advancement of Science, pp. 192–196, 2011.
  ista: Avila K, Moxey D, De Lózar A, Avila M, Barkley D, Hof B. 2011. The onset of
    turbulence in pipe flow. Science. 333(6039), 192–196.
  mla: Avila, Kerstin, et al. “The Onset of Turbulence in Pipe Flow.” <i>Science</i>,
    vol. 333, no. 6039, American Association for the Advancement of Science, 2011,
    pp. 192–96, doi:<a href="https://doi.org/10.1126/science.1203223">10.1126/science.1203223</a>.
  short: K. Avila, D. Moxey, A. De Lózar, M. Avila, D. Barkley, B. Hof, Science 333
    (2011) 192–196.
date_created: 2018-12-11T11:59:39Z
date_published: 2011-07-08T00:00:00Z
date_updated: 2021-01-12T06:59:47Z
day: '08'
doi: 10.1126/science.1203223
extern: 1
intvolume: '       333'
issue: '6039'
month: '07'
page: 192 - 196
publication: Science
publication_status: published
publisher: American Association for the Advancement of Science
publist_id: '4090'
quality_controlled: 0
status: public
title: The onset of turbulence in pipe flow
type: journal_article
volume: 333
year: '2011'
...
---
_id: '2800'
abstract:
- lang: eng
  text: In shear flows, turbulence first occurs in the form of localized structures
    (puffs/spots) surrounded by laminar fluid. We here investigate such spatially
    intermittent flows in a pipe experiment showing that turbulent puffs have a well-defined
    interaction distance, which sets their minimum spacing as well as the maximum
    observable turbulent fraction. Two methodologies are employed. Starting from a
    laminar flow, puffs are first created by locally injecting a jet of fluid through
    the pipe wall. When the perturbation is applied periodically at low frequencies,
    as expected, a regular sequence of puffs is observed where the puff spacing is
    given by the ratio of the mean flow speed to the perturbation frequency. At large
    frequencies however puffs are found to interact and annihilate each other. Varying
    the perturbation frequency, an interaction distance is determined which sets the
    highest possible turbulence fraction. This enables us to establish an upper bound
    for the friction factor in the transitional regime, which provides a well-defined
    link between the Blasius and the Hagen-Poiseuille friction laws. In the second
    set of experiments, the Reynolds number is reduced suddenly from fully turbulent
    to the intermittent regime. The resulting flow reorganizes itself to a sequence
    of constant size puffs which, unlike in Couette and Taylor–Couette flow are randomly
    spaced. The minimum distance between the turbulent patches is identical to the
    puff interaction length. The puff interaction length is found to be in agreement
    with the wavelength of regular stripe and spiral patterns in plane Couette and
    Taylor–Couette flow.
author:
- first_name: Devranjan
  full_name: Samanta, Devranjan
  last_name: Samanta
- first_name: Alberto
  full_name: de Lózar, Alberto
  last_name: De Lózar
- first_name: Björn
  full_name: Björn Hof
  id: 3A374330-F248-11E8-B48F-1D18A9856A87
  last_name: Hof
  orcid: 0000-0003-2057-2754
citation:
  ama: Samanta D, De Lózar A, Hof B. Experimental investigation of laminar turbulent
    intermittency in pipe flow. <i>Journal of Fluid Mechanics</i>. 2011;681:193-204.
    doi:<a href="https://doi.org/10.1017/jfm.2011.189">10.1017/jfm.2011.189</a>
  apa: Samanta, D., De Lózar, A., &#38; Hof, B. (2011). Experimental investigation
    of laminar turbulent intermittency in pipe flow. <i>Journal of Fluid Mechanics</i>.
    Cambridge University Press. <a href="https://doi.org/10.1017/jfm.2011.189">https://doi.org/10.1017/jfm.2011.189</a>
  chicago: Samanta, Devranjan, Alberto De Lózar, and Björn Hof. “Experimental Investigation
    of Laminar Turbulent Intermittency in Pipe Flow.” <i>Journal of Fluid Mechanics</i>.
    Cambridge University Press, 2011. <a href="https://doi.org/10.1017/jfm.2011.189">https://doi.org/10.1017/jfm.2011.189</a>.
  ieee: D. Samanta, A. De Lózar, and B. Hof, “Experimental investigation of laminar
    turbulent intermittency in pipe flow,” <i>Journal of Fluid Mechanics</i>, vol.
    681. Cambridge University Press, pp. 193–204, 2011.
  ista: Samanta D, De Lózar A, Hof B. 2011. Experimental investigation of laminar
    turbulent intermittency in pipe flow. Journal of Fluid Mechanics. 681, 193–204.
  mla: Samanta, Devranjan, et al. “Experimental Investigation of Laminar Turbulent
    Intermittency in Pipe Flow.” <i>Journal of Fluid Mechanics</i>, vol. 681, Cambridge
    University Press, 2011, pp. 193–204, doi:<a href="https://doi.org/10.1017/jfm.2011.189">10.1017/jfm.2011.189</a>.
  short: D. Samanta, A. De Lózar, B. Hof, Journal of Fluid Mechanics 681 (2011) 193–204.
date_created: 2018-12-11T11:59:40Z
date_published: 2011-08-25T00:00:00Z
date_updated: 2021-01-12T06:59:48Z
day: '25'
doi: 10.1017/jfm.2011.189
extern: 1
intvolume: '       681'
month: '08'
page: 193 - 204
publication: Journal of Fluid Mechanics
publication_status: published
publisher: Cambridge University Press
publist_id: '4089'
quality_controlled: 0
status: public
title: Experimental investigation of laminar turbulent intermittency in pipe flow
type: journal_article
volume: 681
year: '2011'
...
---
_id: '2801'
abstract:
- lang: eng
  text: Turbulent puffs in pipe flow are characterized by a sharp laminar-turbulent
    interface at the trailing edge and a more diffused leading interface. It is known
    that these laminar-turbulent interfaces propagate at a speed that is approximately
    equal to the flow rate. Our results from direct numerical simulation show that,
    locally, the interface velocity relative to the fluid (i) counteracts the advection
    due to the laminar velocity profile so that the puff can preserve its characteristic
    overall shape, (ii) is very small in magnitude, but involves a large interface
    area so that the global propagation velocity relative to the mean flow can be
    large and (iii) is determined by both inertial and viscous effects. The analysis
    provides some new insights into the mechanisms that sustain or expand localized
    turbulence and might be relevant for the design of new control strategies.
alternative_title:
- 'Journal of Physics: Conference Series'
author:
- first_name: Markus
  full_name: Holzner, Markus
  last_name: Holzner
- first_name: Marc
  full_name: Avila, Marc
  last_name: Avila
- first_name: Alberto
  full_name: de Lózar, Alberto
  last_name: De Lózar
- first_name: Björn
  full_name: Björn Hof
  id: 3A374330-F248-11E8-B48F-1D18A9856A87
  last_name: Hof
  orcid: 0000-0003-2057-2754
citation:
  ama: 'Holzner M, Avila M, De Lózar A, Hof B. A Lagrangian approach to the interface
    velocity of turbulent puffs in pipe flow. In: Vol 318. IOP Publishing Ltd.; 2011.
    doi:<a href="https://doi.org/10.1088/1742-6596/318/5/052031">10.1088/1742-6596/318/5/052031</a>'
  apa: 'Holzner, M., Avila, M., De Lózar, A., &#38; Hof, B. (2011). A Lagrangian approach
    to the interface velocity of turbulent puffs in pipe flow (Vol. 318). Presented
    at the ETC13: European Turbulence Conference, IOP Publishing Ltd. <a href="https://doi.org/10.1088/1742-6596/318/5/052031">https://doi.org/10.1088/1742-6596/318/5/052031</a>'
  chicago: Holzner, Markus, Marc Avila, Alberto De Lózar, and Björn Hof. “A Lagrangian
    Approach to the Interface Velocity of Turbulent Puffs in Pipe Flow,” Vol. 318.
    IOP Publishing Ltd., 2011. <a href="https://doi.org/10.1088/1742-6596/318/5/052031">https://doi.org/10.1088/1742-6596/318/5/052031</a>.
  ieee: 'M. Holzner, M. Avila, A. De Lózar, and B. Hof, “A Lagrangian approach to
    the interface velocity of turbulent puffs in pipe flow,” presented at the ETC13:
    European Turbulence Conference, 2011, vol. 318, no. 5.'
  ista: 'Holzner M, Avila M, De Lózar A, Hof B. 2011. A Lagrangian approach to the
    interface velocity of turbulent puffs in pipe flow. ETC13: European Turbulence
    Conference, Journal of Physics: Conference Series, vol. 318.'
  mla: Holzner, Markus, et al. <i>A Lagrangian Approach to the Interface Velocity
    of Turbulent Puffs in Pipe Flow</i>. Vol. 318, no. 5, IOP Publishing Ltd., 2011,
    doi:<a href="https://doi.org/10.1088/1742-6596/318/5/052031">10.1088/1742-6596/318/5/052031</a>.
  short: M. Holzner, M. Avila, A. De Lózar, B. Hof, in:, IOP Publishing Ltd., 2011.
conference:
  name: 'ETC13: European Turbulence Conference'
date_created: 2018-12-11T11:59:40Z
date_published: 2011-09-01T00:00:00Z
date_updated: 2019-04-26T07:22:20Z
day: '01'
doi: 10.1088/1742-6596/318/5/052031
extern: 1
intvolume: '       318'
issue: '5'
month: '09'
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '4088'
quality_controlled: 0
status: public
title: A Lagrangian approach to the interface velocity of turbulent puffs in pipe
  flow
type: conference
volume: 318
year: '2011'
...
---
_id: '2871'
abstract:
- lang: eng
  text: Despite their relatively simple appearance, roots are incredibly complex organs
    that are highly adapted to differing environments. Many aspects of root development
    are co-ordinated by subtle spatial differences in the concentrations of the phytohormones
    auxin and cytokinin. Events from the formation of a root during embryogenesis
    to the determination of the network of lateral roots are controlled by interactions
    between these hormones. Recently, interactions have been defined where auxin signaling
    promotes the expression of cytokinin signaling inhibitors, cytokinin signaling
    promotes the expression of auxin signaling inhibitors and finally where cytokinin
    signaling regulates the complex network of auxin transport proteins to position
    zones of high auxin signaling. We are witnessing a period of discovery in which
    we are beginning to understand how these hormonal pathways communicate to regulate
    root formation.
author:
- first_name: Anthony
  full_name: Bishopp, Anthony
  last_name: Bishopp
- first_name: Eva
  full_name: Eva Benková
  id: 38F4F166-F248-11E8-B48F-1D18A9856A87
  last_name: Benková
  orcid: 0000-0002-8510-9739
- first_name: Ykä
  full_name: Helariutta, Ykä
  last_name: Helariutta
citation:
  ama: 'Bishopp A, Benková E, Helariutta Y. Sending mixed messages: Auxin-cytokinin
    crosstalk in roots. <i>Current Opinion in Plant Biology</i>. 2011;14(1):10-16.
    doi:<a href="https://doi.org/10.1016/j.pbi.2010.08.014">10.1016/j.pbi.2010.08.014</a>'
  apa: 'Bishopp, A., Benková, E., &#38; Helariutta, Y. (2011). Sending mixed messages:
    Auxin-cytokinin crosstalk in roots. <i>Current Opinion in Plant Biology</i>. Elsevier.
    <a href="https://doi.org/10.1016/j.pbi.2010.08.014">https://doi.org/10.1016/j.pbi.2010.08.014</a>'
  chicago: 'Bishopp, Anthony, Eva Benková, and Ykä Helariutta. “Sending Mixed Messages:
    Auxin-Cytokinin Crosstalk in Roots.” <i>Current Opinion in Plant Biology</i>.
    Elsevier, 2011. <a href="https://doi.org/10.1016/j.pbi.2010.08.014">https://doi.org/10.1016/j.pbi.2010.08.014</a>.'
  ieee: 'A. Bishopp, E. Benková, and Y. Helariutta, “Sending mixed messages: Auxin-cytokinin
    crosstalk in roots,” <i>Current Opinion in Plant Biology</i>, vol. 14, no. 1.
    Elsevier, pp. 10–16, 2011.'
  ista: 'Bishopp A, Benková E, Helariutta Y. 2011. Sending mixed messages: Auxin-cytokinin
    crosstalk in roots. Current Opinion in Plant Biology. 14(1), 10–16.'
  mla: 'Bishopp, Anthony, et al. “Sending Mixed Messages: Auxin-Cytokinin Crosstalk
    in Roots.” <i>Current Opinion in Plant Biology</i>, vol. 14, no. 1, Elsevier,
    2011, pp. 10–16, doi:<a href="https://doi.org/10.1016/j.pbi.2010.08.014">10.1016/j.pbi.2010.08.014</a>.'
  short: A. Bishopp, E. Benková, Y. Helariutta, Current Opinion in Plant Biology 14
    (2011) 10–16.
date_created: 2018-12-11T12:00:03Z
date_published: 2011-02-01T00:00:00Z
date_updated: 2021-01-12T07:00:23Z
day: '01'
doi: 10.1016/j.pbi.2010.08.014
extern: 1
intvolume: '        14'
issue: '1'
month: '02'
page: 10 - 16
publication: Current Opinion in Plant Biology
publication_status: published
publisher: Elsevier
publist_id: '3894'
quality_controlled: 0
status: public
title: 'Sending mixed messages: Auxin-cytokinin crosstalk in roots'
type: journal_article
volume: 14
year: '2011'
...
---
_id: '2874'
abstract:
- lang: eng
  text: The apical hook develops in the upper part of the hypocotyl when seeds buried
    in the soil germinate, and serves to protect cotyledons and the shoot apical meristem
    from possible damage caused by pushing through the soil. The curvature is formed
    through differential cell growth that occurs at the two opposite sides of the
    hypocotyl, and it is established by a gradient of auxin activity and refined by
    the coordinated action of auxin and ethylene. Here we show that gibberellins (GAs)
    promote hook development through the transcriptional regulation of several genes
    of the ethylene and auxin pathways in Arabidopsis. The level of GA activity determines
    the speed of hook formation and the extent of the curvature during the formation
    phase independently of ethylene, probably by modulating auxin transport and response
    through HLS1, PIN3, and PIN7. Moreover, GAs cooperate with ethylene in preventing
    hook opening, in part through the induction of ethylene production mediated by
    ACS5/ETO2 and ACS8.
author:
- first_name: Javier
  full_name: Gallego-Bartolomé, Javier
  last_name: Gallego Bartolomé
- first_name: María
  full_name: Arana, María V
  last_name: Arana
- first_name: Filip
  full_name: Vandenbussche, Filip
  last_name: Vandenbussche
- first_name: Petra
  full_name: Žádníková, Petra
  last_name: Žádníková
- first_name: Eugenio
  full_name: Minguet, Eugenio G
  last_name: Minguet
- first_name: Vicente
  full_name: Guardiola, Vicente
  last_name: Guardiola
- first_name: Dominique
  full_name: Van Der Straeten, Dominique
  last_name: Van Der Straeten
- first_name: Eva
  full_name: Eva Benková
  id: 38F4F166-F248-11E8-B48F-1D18A9856A87
  last_name: Benková
  orcid: 0000-0002-8510-9739
- first_name: David
  full_name: Alabadí, David
  last_name: Alabadí
- first_name: Miguel
  full_name: Blázquez, Miguel A
  last_name: Blázquez
citation:
  ama: Gallego Bartolomé J, Arana M, Vandenbussche F, et al. Hierarchy of hormone
    action controlling apical hook development in Arabidopsis. <i>Plant Journal</i>.
    2011;67(4):622-634. doi:<a href="https://doi.org/10.1111/j.1365-313X.2011.04621.x">10.1111/j.1365-313X.2011.04621.x</a>
  apa: Gallego Bartolomé, J., Arana, M., Vandenbussche, F., Žádníková, P., Minguet,
    E., Guardiola, V., … Blázquez, M. (2011). Hierarchy of hormone action controlling
    apical hook development in Arabidopsis. <i>Plant Journal</i>. Wiley-Blackwell.
    <a href="https://doi.org/10.1111/j.1365-313X.2011.04621.x">https://doi.org/10.1111/j.1365-313X.2011.04621.x</a>
  chicago: Gallego Bartolomé, Javier, María Arana, Filip Vandenbussche, Petra Žádníková,
    Eugenio Minguet, Vicente Guardiola, Dominique Van Der Straeten, Eva Benková, David
    Alabadí, and Miguel Blázquez. “Hierarchy of Hormone Action Controlling Apical
    Hook Development in Arabidopsis.” <i>Plant Journal</i>. Wiley-Blackwell, 2011.
    <a href="https://doi.org/10.1111/j.1365-313X.2011.04621.x">https://doi.org/10.1111/j.1365-313X.2011.04621.x</a>.
  ieee: J. Gallego Bartolomé <i>et al.</i>, “Hierarchy of hormone action controlling
    apical hook development in Arabidopsis,” <i>Plant Journal</i>, vol. 67, no. 4.
    Wiley-Blackwell, pp. 622–634, 2011.
  ista: Gallego Bartolomé J, Arana M, Vandenbussche F, Žádníková P, Minguet E, Guardiola
    V, Van Der Straeten D, Benková E, Alabadí D, Blázquez M. 2011. Hierarchy of hormone
    action controlling apical hook development in Arabidopsis. Plant Journal. 67(4),
    622–634.
  mla: Gallego Bartolomé, Javier, et al. “Hierarchy of Hormone Action Controlling
    Apical Hook Development in Arabidopsis.” <i>Plant Journal</i>, vol. 67, no. 4,
    Wiley-Blackwell, 2011, pp. 622–34, doi:<a href="https://doi.org/10.1111/j.1365-313X.2011.04621.x">10.1111/j.1365-313X.2011.04621.x</a>.
  short: J. Gallego Bartolomé, M. Arana, F. Vandenbussche, P. Žádníková, E. Minguet,
    V. Guardiola, D. Van Der Straeten, E. Benková, D. Alabadí, M. Blázquez, Plant
    Journal 67 (2011) 622–634.
date_created: 2018-12-11T12:00:04Z
date_published: 2011-08-01T00:00:00Z
date_updated: 2021-01-12T07:00:24Z
day: '01'
doi: 10.1111/j.1365-313X.2011.04621.x
extern: 1
intvolume: '        67'
issue: '4'
month: '08'
page: 622 - 634
publication: Plant Journal
publication_status: published
publisher: Wiley-Blackwell
publist_id: '3891'
quality_controlled: 0
status: public
title: Hierarchy of hormone action controlling apical hook development in Arabidopsis
type: journal_article
volume: 67
year: '2011'
...
---
_id: '2897'
acknowledgement: TFs regulate gene expression by binding to specific sequences in
  the promoter regions of their target genes. Promoters often contain multiple copies
  of the same TF binding sites. How does this multiplicity evolve? One possibility
  is that individuals with multiple, redundant binding sites have higher fitness.
  However, nonadaptive processes are also likely to be important. Here, we develop
  a mathematical model of the evolution of TF binding sites to help us disentangle
  how different evolutionary mechanisms contribute to the evolution of binding site
  redundancy and multiplicity. We show that recombination is expected to promote the
  evolution of multiple binding sites. This prediction is corroborated by genome-wide
  data from yeast. Another important factor in the evolution of multiplicity predicted
  in our analysis is TF promiscuity, that is, the ability of a TF to bind to multiple
  sequences. In addition, our analysis indicated that direct selection can have large
  effects on the evolution of redundancy and multiplicity. Data from yeast identified
  selection for changes in expression level as a candidate mechanism for the evolution
  of multiple binding sites. We conclude that, although selection may play a major
  role in the evolution of multiplicity in regulatory regions, nonadaptive forces
  can also lead to high levels of multiplicity.
author:
- first_name: Tiago
  full_name: Tiago Paixao
  id: 2C5658E6-F248-11E8-B48F-1D18A9856A87
  last_name: Paixao
  orcid: 0000-0003-2361-3953
- first_name: Ricardo
  full_name: Azevedo, Ricardo B
  last_name: Azevedo
citation:
  ama: Paixao T, Azevedo R. Redundancy and the Evolution of Cis Regulatory Element
    Multiplicity. <i>PLoS Computational Biology</i>. 2011;6(7). doi:<a href="https://doi.org/10.1371/journal.pcbi.1000848">10.1371/journal.pcbi.1000848</a>
  apa: Paixao, T., &#38; Azevedo, R. (2011). Redundancy and the Evolution of Cis Regulatory
    Element Multiplicity. <i>PLoS Computational Biology</i>. Public Library of Science.
    <a href="https://doi.org/10.1371/journal.pcbi.1000848">https://doi.org/10.1371/journal.pcbi.1000848</a>
  chicago: Paixao, Tiago, and Ricardo Azevedo. “Redundancy and the Evolution of Cis
    Regulatory Element Multiplicity.” <i>PLoS Computational Biology</i>. Public Library
    of Science, 2011. <a href="https://doi.org/10.1371/journal.pcbi.1000848">https://doi.org/10.1371/journal.pcbi.1000848</a>.
  ieee: T. Paixao and R. Azevedo, “Redundancy and the Evolution of Cis Regulatory
    Element Multiplicity,” <i>PLoS Computational Biology</i>, vol. 6, no. 7. Public
    Library of Science, 2011.
  ista: Paixao T, Azevedo R. 2011. Redundancy and the Evolution of Cis Regulatory
    Element Multiplicity. PLoS Computational Biology. 6(7).
  mla: Paixao, Tiago, and Ricardo Azevedo. “Redundancy and the Evolution of Cis Regulatory
    Element Multiplicity.” <i>PLoS Computational Biology</i>, vol. 6, no. 7, Public
    Library of Science, 2011, doi:<a href="https://doi.org/10.1371/journal.pcbi.1000848">10.1371/journal.pcbi.1000848</a>.
  short: T. Paixao, R. Azevedo, PLoS Computational Biology 6 (2011).
date_created: 2018-12-11T12:00:13Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2021-01-12T07:00:33Z
day: '01'
doi: 10.1371/journal.pcbi.1000848
extern: 1
intvolume: '         6'
issue: '7'
license: https://creativecommons.org/licenses/by/4.0/
month: '01'
publication: PLoS Computational Biology
publication_status: published
publisher: Public Library of Science
publist_id: '3861'
quality_controlled: 0
status: public
title: Redundancy and the Evolution of Cis Regulatory Element Multiplicity
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
volume: 6
year: '2011'
...
---
_id: '2898'
abstract:
- lang: eng
  text: Sex allocation theory has been remarkably successful at explaining the prevalence
    of even sex ratios in natural populations and at identifying specific conditions
    that can result in biased sex ratios. Much of this theory focuses on parental
    sex determination (SD) strategies. Here, we consider instead the evolutionary
    causes and consequences of mixed offspring SD strategies, in which the genotype
    of an individual determines not its sex, but the probability of developing one
    of multiple sexes. We find that alleles specifying mixed offspring SD strategies
    can generally outcompete alleles that specify pure strategies, but generate constraints
    that may prevent a population from reaching an even sex ratio. We use our model
    to analyze sex ratios in natural populations of Tetrahymena thermophila, a ciliate
    with seven sexes determined by mixed SD alleles. We show that probabilistic SD
    is sufficient to account for the occurrence of skewed sex ratios in natural populations
    of T. thermophila, provided that their effective population sizes are small. Our
    results highlight the importance of genetic drift in sex ratio evolution and suggest
    that mixed offspring SD strategies should be more common than currently thought.
author:
- first_name: Tiago
  full_name: Tiago Paixao
  id: 2C5658E6-F248-11E8-B48F-1D18A9856A87
  last_name: Paixao
  orcid: 0000-0003-2361-3953
- first_name: Sujal
  full_name: Phadke, Sujal S
  last_name: Phadke
- first_name: Ricardo
  full_name: Azevedo, Ricardo B
  last_name: Azevedo
- first_name: Rebecca
  full_name: Zufall, Rebecca A
  last_name: Zufall
citation:
  ama: Paixao T, Phadke S, Azevedo R, Zufall R. Sex ratio evolution under probabilistic
    sex determination. <i>Evolution; International Journal of Organic Evolution</i>.
    2011;65(7):2050-2060. doi:<a href="https://doi.org/10.1111/j.1558-5646.2011.01266.x">10.1111/j.1558-5646.2011.01266.x</a>
  apa: Paixao, T., Phadke, S., Azevedo, R., &#38; Zufall, R. (2011). Sex ratio evolution
    under probabilistic sex determination. <i>Evolution; International Journal of
    Organic Evolution</i>. Wiley-Blackwell. <a href="https://doi.org/10.1111/j.1558-5646.2011.01266.x">https://doi.org/10.1111/j.1558-5646.2011.01266.x</a>
  chicago: Paixao, Tiago, Sujal Phadke, Ricardo Azevedo, and Rebecca Zufall. “Sex
    Ratio Evolution under Probabilistic Sex Determination.” <i>Evolution; International
    Journal of Organic Evolution</i>. Wiley-Blackwell, 2011. <a href="https://doi.org/10.1111/j.1558-5646.2011.01266.x">https://doi.org/10.1111/j.1558-5646.2011.01266.x</a>.
  ieee: T. Paixao, S. Phadke, R. Azevedo, and R. Zufall, “Sex ratio evolution under
    probabilistic sex determination,” <i>Evolution; International Journal of Organic
    Evolution</i>, vol. 65, no. 7. Wiley-Blackwell, pp. 2050–2060, 2011.
  ista: Paixao T, Phadke S, Azevedo R, Zufall R. 2011. Sex ratio evolution under probabilistic
    sex determination. Evolution; International Journal of Organic Evolution. 65(7),
    2050–2060.
  mla: Paixao, Tiago, et al. “Sex Ratio Evolution under Probabilistic Sex Determination.”
    <i>Evolution; International Journal of Organic Evolution</i>, vol. 65, no. 7,
    Wiley-Blackwell, 2011, pp. 2050–60, doi:<a href="https://doi.org/10.1111/j.1558-5646.2011.01266.x">10.1111/j.1558-5646.2011.01266.x</a>.
  short: T. Paixao, S. Phadke, R. Azevedo, R. Zufall, Evolution; International Journal
    of Organic Evolution 65 (2011) 2050–2060.
date_created: 2018-12-11T12:00:13Z
date_published: 2011-03-01T00:00:00Z
date_updated: 2021-01-12T07:00:33Z
day: '01'
doi: 10.1111/j.1558-5646.2011.01266.x
extern: 1
intvolume: '        65'
issue: '7'
month: '03'
page: 2050 - 2060
publication: Evolution; International Journal of Organic Evolution
publication_status: published
publisher: Wiley-Blackwell
publist_id: '3860'
quality_controlled: 0
status: public
title: Sex ratio evolution under probabilistic sex determination
type: journal_article
volume: 65
year: '2011'
...
---
_id: '2922'
author:
- first_name: Sara
  full_name: Vicente, Sara
  last_name: Vicente
- first_name: Vladimir
  full_name: Vladimir Kolmogorov
  id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
  last_name: Kolmogorov
- first_name: Carsten
  full_name: Rother, Carsten
  last_name: Rother
citation:
  ama: 'Vicente S, Kolmogorov V, Rother C. Graph-cut Based Image Segmentation with
    Connectivity Priors. In: Blake A, Kohli P, Rother C, eds. <i>Markov Random Fields
    for Vision and Image Processing</i>. Massachusetts Institute of Technology Press;
    2011.'
  apa: Vicente, S., Kolmogorov, V., &#38; Rother, C. (2011). Graph-cut Based Image
    Segmentation with Connectivity Priors. In A. Blake, P. Kohli, &#38; C. Rother
    (Eds.), <i>Markov Random Fields for Vision and Image Processing</i>. Massachusetts
    Institute of Technology Press.
  chicago: Vicente, Sara, Vladimir Kolmogorov, and Carsten Rother. “Graph-Cut Based
    Image Segmentation with Connectivity Priors.” In <i>Markov Random Fields for Vision
    and Image Processing</i>, edited by Andrew Blake, Pushmeet Kohli, and Carsten
    Rother. Massachusetts Institute of Technology Press, 2011.
  ieee: S. Vicente, V. Kolmogorov, and C. Rother, “Graph-cut Based Image Segmentation
    with Connectivity Priors,” in <i>Markov Random Fields for Vision and Image Processing</i>,
    A. Blake, P. Kohli, and C. Rother, Eds. Massachusetts Institute of Technology
    Press, 2011.
  ista: 'Vicente S, Kolmogorov V, Rother C. 2011.Graph-cut Based Image Segmentation
    with Connectivity Priors. In: Markov Random Fields for Vision and Image Processing.
    .'
  mla: Vicente, Sara, et al. “Graph-Cut Based Image Segmentation with Connectivity
    Priors.” <i>Markov Random Fields for Vision and Image Processing</i>, edited by
    Andrew Blake et al., Massachusetts Institute of Technology Press, 2011.
  short: S. Vicente, V. Kolmogorov, C. Rother, in:, A. Blake, P. Kohli, C. Rother
    (Eds.), Markov Random Fields for Vision and Image Processing, Massachusetts Institute
    of Technology Press, 2011.
date_created: 2018-12-11T12:00:21Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2021-01-12T07:00:43Z
day: '01'
editor:
- first_name: Andrew
  full_name: Blake, Andrew
  last_name: Blake
- first_name: Pushmeet
  full_name: Kohli, Pushmeet
  last_name: Kohli
- first_name: Carsten
  full_name: Rother, Carsten
  last_name: Rother
extern: 1
month: '01'
publication: Markov Random Fields for Vision and Image Processing
publication_status: published
publisher: Massachusetts Institute of Technology Press
publist_id: '3815'
quality_controlled: 0
status: public
title: Graph-cut Based Image Segmentation with Connectivity Priors
type: book_chapter
year: '2011'
...
---
_id: '2923'
author:
- first_name: M Pawan
  full_name: Kumar, M Pawan
  last_name: Kumar
- first_name: Vladimir
  full_name: Vladimir Kolmogorov
  id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
  last_name: Kolmogorov
- first_name: Philip
  full_name: Torr, Philip H
  last_name: Torr
citation:
  ama: 'Kumar MP, Kolmogorov V, Torr P. Analyzing Convex Relaxations for MAP Estimation.
    In: Blake A, Kohli P, Rother C, eds. <i>Markov Random Fields for Vision and Image
    Processing</i>. Massachusetts Institute of Technology Press; 2011.'
  apa: Kumar, M. P., Kolmogorov, V., &#38; Torr, P. (2011). Analyzing Convex Relaxations
    for MAP Estimation. In A. Blake, P. Kohli, &#38; C. Rother (Eds.), <i>Markov Random
    Fields for Vision and Image Processing</i>. Massachusetts Institute of Technology
    Press.
  chicago: Kumar, M Pawan, Vladimir Kolmogorov, and Philip Torr. “Analyzing Convex
    Relaxations for MAP Estimation.” In <i>Markov Random Fields for Vision and Image
    Processing</i>, edited by Andrew Blake, Pushmeet Kohli, and Carsten Rother. Massachusetts
    Institute of Technology Press, 2011.
  ieee: M. P. Kumar, V. Kolmogorov, and P. Torr, “Analyzing Convex Relaxations for
    MAP Estimation,” in <i>Markov Random Fields for Vision and Image Processing</i>,
    A. Blake, P. Kohli, and C. Rother, Eds. Massachusetts Institute of Technology
    Press, 2011.
  ista: 'Kumar MP, Kolmogorov V, Torr P. 2011.Analyzing Convex Relaxations for MAP
    Estimation. In: Markov Random Fields for Vision and Image Processing. .'
  mla: Kumar, M. Pawan, et al. “Analyzing Convex Relaxations for MAP Estimation.”
    <i>Markov Random Fields for Vision and Image Processing</i>, edited by Andrew
    Blake et al., Massachusetts Institute of Technology Press, 2011.
  short: M.P. Kumar, V. Kolmogorov, P. Torr, in:, A. Blake, P. Kohli, C. Rother (Eds.),
    Markov Random Fields for Vision and Image Processing, Massachusetts Institute
    of Technology Press, 2011.
date_created: 2018-12-11T12:00:21Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2021-01-12T07:00:43Z
day: '01'
editor:
- first_name: Andrew
  full_name: Blake, Andrew
  last_name: Blake
- first_name: Pushmeet
  full_name: Kohli, Pushmeet
  last_name: Kohli
- first_name: Carsten
  full_name: Rother, Carsten
  last_name: Rother
extern: 1
month: '01'
publication: Markov Random Fields for Vision and Image Processing
publication_status: published
publisher: Massachusetts Institute of Technology Press
publist_id: '3814'
quality_controlled: 0
status: public
title: Analyzing Convex Relaxations for MAP Estimation
type: book_chapter
year: '2011'
...
---
_id: '2924'
author:
- first_name: Antonio
  full_name: Criminisi, Antonio
  last_name: Criminisi
- first_name: Geoffrey
  full_name: Cross, Geoffrey
  last_name: Cross
- first_name: Andrew
  full_name: Blake, Andrew
  last_name: Blake
- first_name: Vladimir
  full_name: Vladimir Kolmogorov
  id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
  last_name: Kolmogorov
citation:
  ama: 'Criminisi A, Cross G, Blake A, Kolmogorov V. Bilayer Segmentation of Video.
    In: Blake A, Kohli P, Rother C, eds. <i>Markov Random Fields for Vision and Image
    Processing</i>. Massachusetts Institute of Technology Press; 2011.'
  apa: Criminisi, A., Cross, G., Blake, A., &#38; Kolmogorov, V. (2011). Bilayer Segmentation
    of Video. In A. Blake, P. Kohli, &#38; C. Rother (Eds.), <i>Markov Random Fields
    for Vision and Image Processing</i>. Massachusetts Institute of Technology Press.
  chicago: Criminisi, Antonio, Geoffrey Cross, Andrew Blake, and Vladimir Kolmogorov.
    “Bilayer Segmentation of Video.” In <i>Markov Random Fields for Vision and Image
    Processing</i>, edited by Andrew Blake, Pushmeet Kohli, and Carsten Rother. Massachusetts
    Institute of Technology Press, 2011.
  ieee: A. Criminisi, G. Cross, A. Blake, and V. Kolmogorov, “Bilayer Segmentation
    of Video,” in <i>Markov Random Fields for Vision and Image Processing</i>, A.
    Blake, P. Kohli, and C. Rother, Eds. Massachusetts Institute of Technology Press,
    2011.
  ista: 'Criminisi A, Cross G, Blake A, Kolmogorov V. 2011.Bilayer Segmentation of
    Video. In: Markov Random Fields for Vision and Image Processing. .'
  mla: Criminisi, Antonio, et al. “Bilayer Segmentation of Video.” <i>Markov Random
    Fields for Vision and Image Processing</i>, edited by Andrew Blake et al., Massachusetts
    Institute of Technology Press, 2011.
  short: A. Criminisi, G. Cross, A. Blake, V. Kolmogorov, in:, A. Blake, P. Kohli,
    C. Rother (Eds.), Markov Random Fields for Vision and Image Processing, Massachusetts
    Institute of Technology Press, 2011.
date_created: 2018-12-11T12:00:22Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2021-01-12T07:00:43Z
day: '01'
editor:
- first_name: Andrew
  full_name: Blake, Andrew
  last_name: Blake
- first_name: Pushmeet
  full_name: Kohli, Pushmeet
  last_name: Kohli
- first_name: Carsten
  full_name: Rother, Carsten
  last_name: Rother
extern: 1
month: '01'
publication: Markov Random Fields for Vision and Image Processing
publication_status: published
publisher: Massachusetts Institute of Technology Press
publist_id: '3813'
quality_controlled: 0
status: public
title: Bilayer Segmentation of Video
type: book_chapter
year: '2011'
...
---
_id: '2925'
author:
- first_name: Carsten
  full_name: Rother, Carsten
  last_name: Rother
- first_name: Vladimir
  full_name: Vladimir Kolmogorov
  id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
  last_name: Kolmogorov
- first_name: Yuri
  full_name: Boykov, Yuri
  last_name: Boykov
- first_name: Andrew
  full_name: Blake, Andrew
  last_name: Blake
citation:
  ama: 'Rother C, Kolmogorov V, Boykov Y, Blake A. Interactive Foreground Extraction
    using graph cut. In: Blake A, Kohli P, Rother C, eds. <i>Markov Random Fields
    for Vision and Image Processing</i>. Massachusetts Institute of Technology Press;
    2011.'
  apa: Rother, C., Kolmogorov, V., Boykov, Y., &#38; Blake, A. (2011). Interactive
    Foreground Extraction using graph cut. In A. Blake, P. Kohli, &#38; C. Rother
    (Eds.), <i>Markov Random Fields for Vision and Image Processing</i>. Massachusetts
    Institute of Technology Press.
  chicago: Rother, Carsten, Vladimir Kolmogorov, Yuri Boykov, and Andrew Blake. “Interactive
    Foreground Extraction Using Graph Cut.” In <i>Markov Random Fields for Vision
    and Image Processing</i>, edited by Andrew Blake, Pushmeet Kohli, and Carsten
    Rother. Massachusetts Institute of Technology Press, 2011.
  ieee: C. Rother, V. Kolmogorov, Y. Boykov, and A. Blake, “Interactive Foreground
    Extraction using graph cut,” in <i>Markov Random Fields for Vision and Image Processing</i>,
    A. Blake, P. Kohli, and C. Rother, Eds. Massachusetts Institute of Technology
    Press, 2011.
  ista: 'Rother C, Kolmogorov V, Boykov Y, Blake A. 2011.Interactive Foreground Extraction
    using graph cut. In: Markov Random Fields for Vision and Image Processing. .'
  mla: Rother, Carsten, et al. “Interactive Foreground Extraction Using Graph Cut.”
    <i>Markov Random Fields for Vision and Image Processing</i>, edited by Andrew
    Blake et al., Massachusetts Institute of Technology Press, 2011.
  short: C. Rother, V. Kolmogorov, Y. Boykov, A. Blake, in:, A. Blake, P. Kohli, C.
    Rother (Eds.), Markov Random Fields for Vision and Image Processing, Massachusetts
    Institute of Technology Press, 2011.
date_created: 2018-12-11T12:00:22Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2021-01-12T07:00:44Z
day: '01'
editor:
- first_name: Andrew
  full_name: Blake, Andrew
  last_name: Blake
- first_name: Pushmeet
  full_name: Kohli, Pushmeet
  last_name: Kohli
- first_name: Carsten
  full_name: Rother, Carsten
  last_name: Rother
extern: 1
month: '01'
publication: Markov Random Fields for Vision and Image Processing
publication_status: published
publisher: Massachusetts Institute of Technology Press
publist_id: '3812'
quality_controlled: 0
status: public
title: Interactive Foreground Extraction using graph cut
type: book_chapter
year: '2011'
...
---
_id: '2935'
author:
- first_name: Yuri
  full_name: Boykov, Yuri
  last_name: Boykov
- first_name: Vladimir
  full_name: Vladimir Kolmogorov
  id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
  last_name: Kolmogorov
citation:
  ama: 'Boykov Y, Kolmogorov V. Basic graph cut algorithms. In: Blake A, Kohli P,
    Rother C, eds. <i>Markov Random Fields for Vision and Image Processing</i>. Massachusetts
    Institute of Technology Press; 2011:31-50.'
  apa: Boykov, Y., &#38; Kolmogorov, V. (2011). Basic graph cut algorithms. In A.
    Blake, P. Kohli, &#38; C. Rother (Eds.), <i>Markov Random Fields for Vision and
    Image Processing</i> (pp. 31–50). Massachusetts Institute of Technology Press.
  chicago: Boykov, Yuri, and Vladimir Kolmogorov. “Basic Graph Cut Algorithms.” In
    <i>Markov Random Fields for Vision and Image Processing</i>, edited by Andrew
    Blake, Pushmeet Kohli, and Carsten Rother, 31–50. Massachusetts Institute of Technology
    Press, 2011.
  ieee: Y. Boykov and V. Kolmogorov, “Basic graph cut algorithms,” in <i>Markov Random
    Fields for Vision and Image Processing</i>, A. Blake, P. Kohli, and C. Rother,
    Eds. Massachusetts Institute of Technology Press, 2011, pp. 31–50.
  ista: 'Boykov Y, Kolmogorov V. 2011.Basic graph cut algorithms. In: Markov Random
    Fields for Vision and Image Processing. , 31–50.'
  mla: Boykov, Yuri, and Vladimir Kolmogorov. “Basic Graph Cut Algorithms.” <i>Markov
    Random Fields for Vision and Image Processing</i>, edited by Andrew Blake et al.,
    Massachusetts Institute of Technology Press, 2011, pp. 31–50.
  short: Y. Boykov, V. Kolmogorov, in:, A. Blake, P. Kohli, C. Rother (Eds.), Markov
    Random Fields for Vision and Image Processing, Massachusetts Institute of Technology
    Press, 2011, pp. 31–50.
date_created: 2018-12-11T12:00:26Z
date_published: 2011-07-22T00:00:00Z
date_updated: 2021-01-12T07:39:53Z
day: '22'
editor:
- first_name: Andrew
  full_name: Blake, Andrew
  last_name: Blake
- first_name: Pushmeet
  full_name: Kohli, Pushmeet
  last_name: Kohli
- first_name: Carsten
  full_name: Rother, Carsten
  last_name: Rother
extern: 1
month: '07'
page: 31 - 50
publication: Markov Random Fields for Vision and Image Processing
publication_status: published
publisher: Massachusetts Institute of Technology Press
publist_id: '3801'
quality_controlled: 0
status: public
title: Basic graph cut algorithms
type: book_chapter
year: '2011'
...
---
_id: '2960'
abstract:
- lang: eng
  text: Traditional statistical methods for the confidentiality protection for statistical
    databases do not scale well to deal with GWAS (genome-wide association studies)
    databases and external information on them. The more recent concept of differential
    privacy, introduced by the cryptographic community, is an approach which provides
    a rigorous definition of privacy with meaningful privacy guarantees in the presence
    of arbitrary external information. Building on such notions, we propose new methods
    to release aggregate GWAS data without compromising an individual's privacy. We
    present methods for releasing differentially private minor allele frequencies,
    chi-square statistics and p-values. We compare these approaches on simulated data
    and on a GWAS study of canine hair length involving 685 dogs. We also propose
    a privacy-preserving method for finding genome-wide associations based on a differentially
    private approach to penalized logistic regression.
author:
- first_name: Stephen
  full_name: Fienberg, Stephen E
  last_name: Fienberg
- first_name: Aleksandra
  full_name: Slavkovic, Aleksandra
  last_name: Slavkovic
- first_name: Caroline
  full_name: Caroline Uhler
  id: 49ADD78E-F248-11E8-B48F-1D18A9856A87
  last_name: Uhler
  orcid: 0000-0002-7008-0216
citation:
  ama: 'Fienberg S, Slavkovic A, Uhler C. Privacy Preserving GWAS Data Sharing. In:
    IEEE; 2011. doi:<a href="https://doi.org/10.1109/ICDMW.2011.140">10.1109/ICDMW.2011.140</a>'
  apa: Fienberg, S., Slavkovic, A., &#38; Uhler, C. (2011). Privacy Preserving GWAS
    Data Sharing. Presented at the Proceedings of the 11th IEEE International Conference
    on Data Mining, IEEE. <a href="https://doi.org/10.1109/ICDMW.2011.140">https://doi.org/10.1109/ICDMW.2011.140</a>
  chicago: Fienberg, Stephen, Aleksandra Slavkovic, and Caroline Uhler. “Privacy Preserving
    GWAS Data Sharing.” IEEE, 2011. <a href="https://doi.org/10.1109/ICDMW.2011.140">https://doi.org/10.1109/ICDMW.2011.140</a>.
  ieee: S. Fienberg, A. Slavkovic, and C. Uhler, “Privacy Preserving GWAS Data Sharing,”
    presented at the Proceedings of the 11th IEEE International Conference on Data
    Mining, 2011.
  ista: Fienberg S, Slavkovic A, Uhler C. 2011. Privacy Preserving GWAS Data Sharing.
    Proceedings of the 11th IEEE International Conference on Data Mining.
  mla: Fienberg, Stephen, et al. <i>Privacy Preserving GWAS Data Sharing</i>. IEEE,
    2011, doi:<a href="https://doi.org/10.1109/ICDMW.2011.140">10.1109/ICDMW.2011.140</a>.
  short: S. Fienberg, A. Slavkovic, C. Uhler, in:, IEEE, 2011.
conference:
  name: Proceedings of the 11th IEEE International Conference on Data Mining
date_created: 2018-12-11T12:00:34Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2021-01-12T07:40:05Z
day: '01'
doi: 10.1109/ICDMW.2011.140
extern: 1
month: '01'
publication_status: published
publisher: IEEE
publist_id: '3766'
quality_controlled: 0
status: public
title: Privacy Preserving GWAS Data Sharing
type: conference
year: '2011'
...
---
_id: '2961'
abstract:
- lang: eng
  text: |-
    Rapid research progress in genotyping techniques have allowed large genome-wide association studies. Existing methods often focus on determining associations between single loci and a specic phenotype. However, a particular phenotype is usually the result of complex relationships between multiple loci and the environment. In this paper, we describe a two-stage method for detecting epistasis by combining the traditionally used single-locus search with a search for multiway interactions. Our method is based on an extended version of Fisher's exact test. To
    perform this test, a Markov chain is constructed on the space of multidimensional contingency tables using the elements of a Markov basis as moves. We test our method on simulated data and compare it to a two-stage logistic regression method and to a fully Bayesian method, showing that we are able to detect the interacting loci when other methods fail to do so. Finally, we apply our method to a genome-wide data set consisting of 685 dogs and identify epistasis associated with canine hair length for four pairs of single nucleotide polymorphisms (SNPs).
acknowledgement: Anna-Sapfo Malaspinas is supported by a Janggen-Poehn Fellowship.
  Caroline Uhler is supported by an International Fulbright Science and Technology
  Fellowship.
author:
- first_name: Anna
  full_name: 'Malaspinas, Anna-Sapfo '
  last_name: Malaspinas
- first_name: Caroline
  full_name: Caroline Uhler
  id: 49ADD78E-F248-11E8-B48F-1D18A9856A87
  last_name: Uhler
  orcid: 0000-0002-7008-0216
citation:
  ama: Malaspinas A, Uhler C. Detecting epistasis via Markov bases. <i>Journal of
    Algebraic Statistics</i>. 2011;2(1):36-53. doi:<a href="http://dx.doi.org/10.18409/jas.v2i1.27">http://dx.doi.org/10.18409/jas.v2i1.27</a>
  apa: Malaspinas, A., &#38; Uhler, C. (2011). Detecting epistasis via Markov bases.
    <i>Journal of Algebraic Statistics</i>. Public Knowledge Project. <a href="http://dx.doi.org/10.18409/jas.v2i1.27">http://dx.doi.org/10.18409/jas.v2i1.27</a>
  chicago: Malaspinas, Anna, and Caroline Uhler. “Detecting Epistasis via Markov Bases.”
    <i>Journal of Algebraic Statistics</i>. Public Knowledge Project, 2011. <a href="http://dx.doi.org/10.18409/jas.v2i1.27">http://dx.doi.org/10.18409/jas.v2i1.27</a>.
  ieee: A. Malaspinas and C. Uhler, “Detecting epistasis via Markov bases,” <i>Journal
    of Algebraic Statistics</i>, vol. 2, no. 1. Public Knowledge Project, pp. 36–53,
    2011.
  ista: Malaspinas A, Uhler C. 2011. Detecting epistasis via Markov bases. Journal
    of Algebraic Statistics. 2(1), 36–53.
  mla: Malaspinas, Anna, and Caroline Uhler. “Detecting Epistasis via Markov Bases.”
    <i>Journal of Algebraic Statistics</i>, vol. 2, no. 1, Public Knowledge Project,
    2011, pp. 36–53, doi:<a href="http://dx.doi.org/10.18409/jas.v2i1.27">http://dx.doi.org/10.18409/jas.v2i1.27</a>.
  short: A. Malaspinas, C. Uhler, Journal of Algebraic Statistics 2 (2011) 36–53.
date_created: 2018-12-11T12:00:34Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2021-01-12T07:40:05Z
day: '01'
doi: http://dx.doi.org/10.18409/jas.v2i1.27
extern: 1
intvolume: '         2'
issue: '1'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1006.4929
month: '01'
oa: 1
page: 36 - 53
publication: Journal of Algebraic Statistics
publication_status: published
publisher: Public Knowledge Project
publist_id: '3764'
quality_controlled: 0
status: public
title: Detecting epistasis via Markov bases
type: journal_article
volume: 2
year: '2011'
...
