TY - JOUR
AB - Apical dominance is one of the fundamental developmental phenomena in plant biology, which determines the overall architecture of aerial plant parts. Here we show apex decapitation activated competition for dominance in adjacent upper and lower axillary buds. A two-nodal-bud pea (Pisum sativum L.) was used as a model system to monitor and assess auxin flow, auxin transport channels, and dormancy and initiation status of axillary buds. Auxin flow was manipulated by lateral stem wounds or chemically by auxin efflux inhibitors 2,3,5-triiodobenzoic acid (TIBA), 1-N-naphtylphtalamic acid (NPA), or protein synthesis inhibitor cycloheximide (CHX) treatments, which served to interfere with axillary bud competition. Redirecting auxin flow to different points influenced which bud formed the outgrowing and dominant shoot. The obtained results proved that competition between upper and lower axillary buds as secondary auxin sources is based on the same auxin canalization principle that operates between the shoot apex and axillary bud. © The Author(s) 2016.
AU - Balla, Jozef
AU - Medved'Ová, Zuzana
AU - Kalousek, Petr
AU - Matiješčuková, Natálie
AU - Friml, Jirí
AU - Reinöhl, Vilém
AU - Procházka, Stanislav
ID - 1147
JF - Scientific Reports
TI - Auxin flow mediated competition between axillary buds to restore apical dominance
VL - 6
ER -
TY - JOUR
AB - Continuous-time Markov chain (CTMC) models have become a central tool for understanding the dynamics of complex reaction networks and the importance of stochasticity in the underlying biochemical processes. When such models are employed to answer questions in applications, in order to ensure that the model provides a sufficiently accurate representation of the real system, it is of vital importance that the model parameters are inferred from real measured data. This, however, is often a formidable task and all of the existing methods fail in one case or the other, usually because the underlying CTMC model is high-dimensional and computationally difficult to analyze. The parameter inference methods that tend to scale best in the dimension of the CTMC are based on so-called moment closure approximations. However, there exists a large number of different moment closure approximations and it is typically hard to say a priori which of the approximations is the most suitable for the inference procedure. Here, we propose a moment-based parameter inference method that automatically chooses the most appropriate moment closure method. Accordingly, contrary to existing methods, the user is not required to be experienced in moment closure techniques. In addition to that, our method adaptively changes the approximation during the parameter inference to ensure that always the best approximation is used, even in cases where different approximations are best in different regions of the parameter space. © 2016 Elsevier Ireland Ltd
AU - Schilling, Christian
AU - Bogomolov, Sergiy
AU - Henzinger, Thomas A
AU - Podelski, Andreas
AU - Ruess, Jakob
ID - 1148
JF - Biosystems
TI - Adaptive moment closure for parameter inference of biochemical reaction networks
VL - 149
ER -
TY - JOUR
AB - We study the usefulness of two most prominent publicly available rigorous ODE integrators: one provided by the CAPD group (capd.ii.uj.edu.pl), the other based on the COSY Infinity project (cosyinfinity.org). Both integrators are capable of handling entire sets of initial conditions and provide tight rigorous outer enclosures of the images under a time-T map. We conduct extensive benchmark computations using the well-known Lorenz system, and compare the computation time against the final accuracy achieved. We also discuss the effect of a few technical parameters, such as the order of the numerical integration method, the value of T, and the phase space resolution. We conclude that COSY may provide more precise results due to its ability of avoiding the variable dependency problem. However, the overall cost of computations conducted using CAPD is typically lower, especially when intervals of parameters are involved. Moreover, access to COSY is limited (registration required) and the rigorous ODE integrators are not publicly available, while CAPD is an open source free software project. Therefore, we recommend the latter integrator for this kind of computations. Nevertheless, proper choice of the various integration parameters turns out to be of even greater importance than the choice of the integrator itself. © 2016 IMACS. Published by Elsevier B.V. All rights reserved.
AU - Miyaji, Tomoyuki
AU - Pilarczyk, Pawel
AU - Gameiro, Marcio
AU - Kokubu, Hiroshi
AU - Mischaikow, Konstantin
ID - 1149
JF - Applied Numerical Mathematics
TI - A study of rigorous ODE integrators for multi scale set oriented computations
VL - 107
ER -
TY - JOUR
AB - When neutrophils infiltrate a site of inflammation, they have to stop at the right place to exert their effector function. In this issue of Developmental Cell, Wang et al. (2016) show that neutrophils sense reactive oxygen species via the TRPM2 channel to arrest migration at their target site. © 2016 Elsevier Inc.
AU - Renkawitz, Jörg
AU - Sixt, Michael K
ID - 1150
IS - 5
JF - Developmental Cell
TI - A Radical Break Restraining Neutrophil Migration
VL - 38
ER -
TY - JOUR
AB - Tissue patterning in multicellular organisms is the output of precise spatio–temporal regulation of gene expression coupled with changes in hormone dynamics. In plants, the hormone auxin regulates growth and development at every stage of a plant’s life cycle. Auxin signaling occurs through binding of the auxin molecule to a TIR1/AFB F-box ubiquitin ligase, allowing interaction with Aux/IAA transcriptional repressor proteins. These are subsequently ubiquitinated and degraded via the 26S proteasome, leading to derepression of auxin response factors (ARFs). How auxin is able to elicit such a diverse range of developmental responses through a single signaling module has not yet been resolved. Here we present an alternative auxin-sensing mechanism in which the ARF ARF3/ETTIN controls gene expression through interactions with process-specific transcription factors. This noncanonical hormonesensing mechanism exhibits strong preference for the naturally occurring auxin indole 3-acetic acid (IAA) and is important for coordinating growth and patterning in diverse developmental contexts such as gynoecium morphogenesis, lateral root emergence, ovule development, and primary branch formation. Disrupting this IAA-sensing ability induces morphological aberrations with consequences for plant fitness. Therefore, our findings introduce a novel transcription factor-based mechanism of hormone perception in plants. © 2016 Simonini et al.
AU - Simonini, Sara
AU - Deb, Joyita
AU - Moubayidin, Laila
AU - Stephenson, Pauline
AU - Valluru, Manoj
AU - Freire Rios, Alejandra
AU - Sorefan, Karim
AU - Weijers, Dolf
AU - Friml, Jirí
AU - Östergaard, Lars
ID - 1151
IS - 20
JF - Genes and Development
TI - A noncanonical auxin sensing mechanism is required for organ morphogenesis in arabidopsis
VL - 30
ER -
TY - JOUR
AB - Differential cell growth enables flexible organ bending in the presence of environmental signals such as light or gravity. A prominent example of the developmental processes based on differential cell growth is the formation of the apical hook that protects the fragile shoot apical meristem when it breaks through the soil during germination. Here, we combined in silico and in vivo approaches to identify a minimal mechanism producing auxin gradient-guided differential growth during the establishment of the apical hook in the model plant Arabidopsis thaliana. Computer simulation models based on experimental data demonstrate that asymmetric expression of the PIN-FORMED auxin efflux carrier at the concave (inner) versus convex (outer) side of the hook suffices to establish an auxin maximum in the epidermis at the concave side of the apical hook. Furthermore, we propose a mechanism that translates this maximum into differential growth, and thus curvature, of the apical hook. Through a combination of experimental and in silico computational approaches, we have identified the individual contributions of differential cell elongation and proliferation to defining the apical hook and reveal the role of auxin-ethylene crosstalk in balancing these two processes. © 2016 American Society of Plant Biologists. All rights reserved.
AU - Žádníková, Petra
AU - Wabnik, Krzysztof T
AU - Abuzeineh, Anas
AU - Gallemí, Marçal
AU - Van Der Straeten, Dominique
AU - Smith, Richard
AU - Inze, Dirk
AU - Friml, Jirí
AU - Prusinkiewicz, Przemysław
AU - Benková, Eva
ID - 1153
IS - 10
JF - Plant Cell
TI - A model of differential growth guided apical hook formation in plants
VL - 28
ER -
TY - JOUR
AB - Cellular locomotion is a central hallmark of eukaryotic life. It is governed by cell-extrinsic molecular factors, which can either emerge in the soluble phase or as immobilized, often adhesive ligands. To encode for direction, every cue must be present as a spatial or temporal gradient. Here, we developed a microfluidic chamber that allows measurement of cell migration in combined response to surface immobilized and soluble molecular gradients. As a proof of principle we study the response of dendritic cells to their major guidance cues, chemokines. The majority of data on chemokine gradient sensing is based on in vitro studies employing soluble gradients. Despite evidence suggesting that in vivo chemokines are often immobilized to sugar residues, limited information is available how cells respond to immobilized chemokines. We tracked migration of dendritic cells towards immobilized gradients of the chemokine CCL21 and varying superimposed soluble gradients of CCL19. Differential migratory patterns illustrate the potential of our setup to quantitatively study the competitive response to both types of gradients. Beyond chemokines our approach is broadly applicable to alternative systems of chemo- and haptotaxis such as cells migrating along gradients of adhesion receptor ligands vs. any soluble cue.
AU - Schwarz, Jan
AU - Bierbaum, Veronika
AU - Merrin, Jack
AU - Frank, Tino
AU - Hauschild, Robert
AU - Bollenbach, Mark Tobias
AU - Tay, Savaş
AU - Sixt, Michael K
AU - Mehling, Matthias
ID - 1154
JF - Scientific Reports
TI - A microfluidic device for measuring cell migration towards substrate bound and soluble chemokine gradients
VL - 6
ER -
TY - JOUR
AB - Let k, n, and r be positive integers with k < n and r≤⌊nk⌋. We determine the facets of the r-stable n, k-hypersimplex. As a result, it turns out that the r-stable n, k-hypersimplex has exactly 2n facets for every r<⌊nk⌋. We then utilize the equations of the facets to study when the r-stable hypersimplex is Gorenstein. For every k > 0 we identify an infinite collection of Gorenstein r-stable hypersimplices, consequently expanding the collection of r-stable hypersimplices known to have unimodal Ehrhart δ-vectors.
AU - Hibi, Takayugi
AU - Liam Solus
ID - 1156
IS - 4
JF - Annals of Combinatorics
TI - Facets of the r-stable (n, k)-hypersimplex
VL - 20
ER -
TY - JOUR
AB - We consider sample covariance matrices of the form Q = ( σ1/2X)(σ1/2X)∗, where the sample X is an M ×N random matrix whose entries are real independent random variables with variance 1/N and whereσ is an M × M positive-definite deterministic matrix. We analyze the asymptotic fluctuations of the largest rescaled eigenvalue of Q when both M and N tend to infinity with N/M →d ϵ (0,∞). For a large class of populations σ in the sub-critical regime, we show that the distribution of the largest rescaled eigenvalue of Q is given by the type-1 Tracy-Widom distribution under the additional assumptions that (1) either the entries of X are i.i.d. Gaussians or (2) that σ is diagonal and that the entries of X have a sub-exponential decay.
AU - Lee, Ji
AU - Schnelli, Kevin
ID - 1157
IS - 6
JF - Annals of Applied Probability
TI - Tracy-widom distribution for the largest eigenvalue of real sample covariance matrices with general population
VL - 26
ER -
TY - CONF
AB - A drawing of a graph G is radial if the vertices of G are placed on concentric circles C1, … , Ck with common center c, and edges are drawn radially: every edge intersects every circle centered at c at most once. G is radial planar if it has a radial embedding, that is, a crossing-free radial drawing. If the vertices of G are ordered or partitioned into ordered levels (as they are for leveled graphs), we require that the assignment of vertices to circles corresponds to the given ordering or leveling. A pair of edges e and f in a graph is independent if e and f do not share a vertex. We show that a graph G is radial planar if G has a radial drawing in which every two independent edges cross an even number of times; the radial embedding has the same leveling as the radial drawing. In other words, we establish the strong Hanani-Tutte theorem for radial planarity. This characterization yields a very simple algorithm for radial planarity testing.
AU - Fulek, Radoslav
AU - Pelsmajer, Michael
AU - Schaefer, Marcus
ID - 1164
TI - Hanani-Tutte for radial planarity II
VL - 9801
ER -