@article{6232, abstract = {The boundary behaviour of solutions of stochastic PDEs with Dirichlet boundary conditions can be surprisingly—and in a sense, arbitrarily—bad: as shown by Krylov[ SIAM J. Math. Anal.34(2003) 1167–1182], for any α>0 one can find a simple 1-dimensional constant coefficient linear equation whose solution at the boundary is not α-Hölder continuous.We obtain a positive counterpart of this: under some mild regularity assumptions on the coefficients, solutions of semilinear SPDEs on C1 domains are proved to be α-Hölder continuous up to the boundary with some α>0.}, author = {Gerencser, Mate}, issn = {00911798}, journal = {Annals of Probability}, number = {2}, pages = {804--834}, publisher = {Institute of Mathematical Statistics}, title = {{Boundary regularity of stochastic PDEs}}, doi = {10.1214/18-AOP1272}, volume = {47}, year = {2019}, } @article{6262, abstract = {Gravitropism is an adaptive response that orients plant growth parallel to the gravity vector. Asymmetric distribution of the phytohormone auxin is a necessary prerequisite to the tropic bending both in roots and shoots. During hypocotyl gravitropic response, the PIN3 auxin transporter polarizes within gravity-sensing cells to redirect intercellular auxin fluxes. First gravity-induced PIN3 polarization to the bottom cell mem- branes leads to the auxin accumulation at the lower side of the organ, initiating bending and, later, auxin feedback-mediated repolarization restores symmetric auxin distribution to terminate bending. Here, we per- formed a forward genetic screen to identify regulators of both PIN3 polarization events during gravitropic response. We searched for mutants with defective PIN3 polarizations based on easy-to-score morphological outputs of decreased or increased gravity-induced hypocotyl bending. We identified the number of hypocotyl reduced bending (hrb) and hypocotyl hyperbending (hhb) mutants, revealing that reduced bending corre- lated typically with defective gravity-induced PIN3 relocation whereas all analyzed hhb mutants showed defects in the second, auxin-mediated PIN3 relocation. Next-generation sequencing-aided mutation map- ping identified several candidate genes, including SCARECROW and ACTIN2, revealing roles of endodermis specification and actin cytoskeleton in the respective gravity- and auxin-induced PIN polarization events. The hypocotyl gravitropism screen thus promises to provide novel insights into mechanisms underlying cell polarity and plant adaptive development.}, author = {Rakusová, Hana and Han, Huibin and Valošek, Petr and Friml, Jiří}, issn = {1365-313x}, journal = {The Plant Journal}, number = {6}, pages = {1048--1059}, publisher = {Wiley}, title = {{Genetic screen for factors mediating PIN polarization in gravistimulated Arabidopsis thaliana hypocotyls}}, doi = {10.1111/tpj.14301}, volume = {98}, year = {2019}, } @article{6297, abstract = {Cell-cell and cell-glycocalyx interactions under flow are important for the behaviour of circulating cells in blood and lymphatic vessels. However, such interactions are not well understood due in part to a lack of tools to study them in defined environments. Here, we develop a versatile in vitro platform for the study of cell-glycocalyx interactions in well-defined physical and chemical settings under flow. Our approach is demonstrated with the interaction between hyaluronan (HA, a key component of the endothelial glycocalyx) and its cell receptor CD44. We generate HA brushes in situ within a microfluidic device, and demonstrate the tuning of their physical (thickness and softness) and chemical (density of CD44 binding sites) properties using characterisation with reflection interference contrast microscopy (RICM) and application of polymer theory. We highlight the interactions of HA brushes with CD44-displaying beads and cells under flow. Observations of CD44+ beads on a HA brush with RICM enabled the 3-dimensional trajectories to be generated, and revealed interactions in the form of stop and go phases with reduced rolling velocity and reduced distance between the bead and the HA brush, compared to uncoated beads. Combined RICM and bright-field microscopy of CD44+ AKR1 T-lymphocytes revealed complementary information about the dynamics of cell rolling and cell morphology, and highlighted the formation of tethers and slings, as they interacted with a HA brush under flow. This platform can readily incorporate more complex models of the glycocalyx, and should permit the study of how mechanical and biochemical factors are orchestrated to enable highly selective blood cell-vessel wall interactions under flow.}, author = {Davies, Heather S. and Baranova, Natalia S. and El Amri, Nouha and Coche-Guérente, Liliane and Verdier, Claude and Bureau, Lionel and Richter, Ralf P. and Débarre, Delphine}, issn = {0945-053X}, journal = {Matrix Biology}, pages = {47--59}, publisher = {Elsevier}, title = {{An integrated assay to probe endothelial glycocalyx-blood cell interactions under flow in mechanically and biochemically well-defined environments}}, doi = {10.1016/j.matbio.2018.12.002}, volume = {78-79}, year = {2019}, } @article{6310, abstract = {An asymptotic formula is established for the number of rational points of bounded anticanonical height which lie on a certain Zariskiopen subset of an arbitrary smooth biquadratic hypersurface in sufficiently many variables. The proof uses the Hardy–Littlewood circle method.}, author = {Browning, Timothy D and Hu, L.Q.}, issn = {10902082}, journal = {Advances in Mathematics}, pages = {920--940}, publisher = {Elsevier}, title = {{Counting rational points on biquadratic hypersurfaces}}, doi = {10.1016/j.aim.2019.04.031}, volume = {349}, year = {2019}, } @article{6261, abstract = {Nitrate regulation of root stem cell activity is auxin-dependent.}, author = {Wang, Y and Gong, Z and Friml, Jiří and Zhang, J}, issn = {1532-2548}, journal = {Plant Physiology}, number = {1}, pages = {22--25}, publisher = {ASPB}, title = {{Nitrate modulates the differentiation of root distal stem cells}}, doi = {10.1104/pp.18.01305}, volume = {180}, year = {2019}, }