Gibberellin signaling mediates lateral root inhibition in response to K+-deprivation

The potassium ion (K+) is vital for plant growth and development, and K+-deprivation leads to reduced crop yields. Here we describe phenotypic, transcriptomic, and mutant analyses to investigate the signaling mechanisms mediating root architectural changes in Arabidopsis (Arabidopsis thaliana) Columbia. We showed effects on root architecture are mediated through a reduction in cell division in the lateral root (LR) meristems, the rate of LR initiation is reduced but LR density is unaffected, and primary root growth is reduced only slightly. This was primarily regulated through gibberellic acid (GA) signaling, which leads to the accumulation of growth-inhibitory DELLA proteins. The short LR phenotype was rescued by exogenous application of GA but not of auxin or by the inhibition of ethylene signaling. RNA-seq analysis showed upregulation by K+-deprivation of the transcription factors JUNGBRUNNEN1 (JUB1) and the C-repeat-binding factor (CBF)/dehydration-responsive element-binding factor 1 regulon, which are known to regulate GA signaling and levels that regulate DELLAs. Transgenic overexpression of JUB1 and CBF1 enhanced responses to K+ stress. Attenuation of the reduced LR growth response occurred in mutants of the CBF1 target gene SFR6, implicating a role for JUB1, CBF1, and SFR6 in the regulation of LR growth in response to K+-deprivation via DELLAs. We propose this represents a mechanism to limit horizontal root growth in conditions where K+ is available deeper in the soil

Asymptotic stability, concentration, and oscillation in harmonic map heat-flow, Landau-Lifshitz, and Schroedinger maps on R^2

We consider the Landau-Lifshitz equations of ferromagnetism (including the harmonic map heat-flow and Schroedinger flow as special cases) for degree m equivariant maps from R^2 to S^2. If m \geq 3, we prove that near-minimal energy solutions converge to a harmonic map as t goes to infinity (asymptotic stability), extending previous work down to degree m = 3. Due to slow spatial decay of the harmonic map components, a new approach is needed for m=3, involving (among other tools) a "normal form" for the parameter dynamics, and the 2D radial double-endpoint Strichartz estimate for Schroedinger operators with sufficiently repulsive potentials (which may be of some independent interest). When m=2 this asymptotic stability may fail: in the case of heat-flow with a further symmetry restriction, we show that more exotic asymptotics are possible, including infinite-time concentration (blow-up), and even "eternal oscillation".Comment: 34 page

Promoter trap markers differentiate structural and positional components of polar development in Arabidopsis

To investigate mechanisms involved in establishing polar organization in Arabidopsis embryos and seedlings, we used promoter trapping to identify molecular markers (beta-glucuronidase fusion genes) expressed in spatially restricted patterns along the apical-basal axis. Three markers were identified that are expressed, respectively, in the embryonic and seedling root tip (POLARIS), cotyledons and shoot and root apices (EXORDIUM), and root cap (COLUMELLA). Each marker was crossed into the mutants hydra and emb30, which are defective in embryonic and seedling morphogenesis. All three markers were expressed in hydra mutants in patterns similar to those observed in phenotypically wild-type embryos and seedlings. In emb30 mutants, the EXORDIUM marker was expressed in cotyledons but not in the expected position of shoot and root meristems, and the marker COLUMELLA was not expressed at all, which is consistent with the view that the emb30 mutant, but not hydra, lacks shoot and root meristems. However, POLARIS was expressed in the basal part of hydra embryos lacking an embryonic root and in the basal parts of both hydra and emb30 seedlings. Expression of POLARIS is inducible by exogenous auxin and suppressed by cytokinin but is unaffected by inhibitors of polar auxin transport or cell division. We conclude that POLARIS differentiates positional aspects of polar development from structural aspects