Interacting Turing-Hopf Instabilities Drive Symmetry-Breaking Transitions in a Mean-Field Model of the Cortex: A Mechanism for the Slow Oscillation

Electrical recordings of brain activity during the transition from wake to anesthetic coma show temporal and spectral alterations that are correlated with gross changes in the underlying brain state. Entry into anesthetic unconsciousness is signposted by the emergence of large, slow oscillations of electrical activity (≲1  Hz) similar to the slow waves observed in natural sleep. Here we present a two-dimensional mean-field model of the cortex in which slow spatiotemporal oscillations arise spontaneously through a Turing (spatial) symmetry-breaking bifurcation that is modulated by a Hopf (temporal) instability. In our model, populations of neurons are densely interlinked by chemical synapses, and by interneuronal gap junctions represented as an inhibitory diffusive coupling. To demonstrate cortical behavior over a wide range of distinct brain states, we explore model dynamics in the vicinity of a general-anesthetic-induced transition from “wake” to “coma.” In this region, the system is poised at a codimension-2 point where competing Turing and Hopf instabilities coexist. We model anesthesia as a moderate reduction in inhibitory diffusion, paired with an increase in inhibitory postsynaptic response, producing a coma state that is characterized by emergent low-frequency oscillations whose dynamics is chaotic in time and space. The effect of long-range axonal white-matter connectivity is probed with the inclusion of a single idealized point-to-point connection. We find that the additional excitation from the long-range connection can provoke seizurelike bursts of cortical activity when inhibitory diffusion is weak, but has little impact on an active cortex. Our proposed dynamic mechanism for the origin of anesthetic slow waves complements—and contrasts with—conventional explanations that require cyclic modulation of ion-channel conductances. We postulate that a similar bifurcation mechanism might underpin the slow waves of natural sleep and comment on the possible consequences of chaotic dynamics for memory processing and learning

Search for Gravitational Waves from Primordial Black Hole Binary Coalescences in the Galactic Halo

We use data from the second science run of the LIGO gravitational-wave detectors to search for the gravitational waves from primordial black hole (PBH) binary coalescence with component masses in the range 0.2--$1.0 M_\odot$. The analysis requires a signal to be found in the data from both LIGO observatories, according to a set of coincidence criteria. No inspiral signals were found. Assuming a spherical halo with core radius 5 kpc extending to 50 kpc containing non-spinning black holes with masses in the range 0.2--$1.0 M_\odot$, we place an observational upper limit on the rate of PBH coalescence of 63 per year per Milky Way halo (MWH) with 90% confidence.Comment: 7 pages, 4 figures, to be submitted to Phys. Rev.

Plant morphogenesis. More knots untied.

Knox genes are expressed within restricted domains of the maize shoot apical meristem. The patterns observed suggest that this homeobox gene family plays a pivotal role in the control of plant morphogenesis

Evolution of developmental mechanisms in plants.

As our understanding of developmental mechanisms in flowering plant species has become more advanced, an appreciation of the need to understand how distinct plant morphologies are generated has grown. This has led to an awareness of the key morphological differences in distinct land plant groups and to an assessment of the major innovations that occurred during land plant evolution. Recent advances demonstrate how developmental toolkits have been recruited for related purposes in different land plant groups, but the limited number of examples highlights both the infancy of the field and the difficulty of working with non-flowering plants

THE THEN AND NOW OF MAIZE LEAF DEVELOPMENT

Most of what we know about the mechanistic basis of maize leaf development has been revealed in the last twenty years. This review provides a historical account of advances in the area and highlights the contributions that have enhanced our general understanding of plant developmental biology

Cellular differentiation in the leaf.

The past year has seen significant advances in our understanding of the mechanisms that regulate cellular differentiation in the leaf. It has been suggested that a common developmental pathway involving MYB-like transcription factors is responsible for distinguishing between cellular identities in the epidermis and that nuclear-cytoplasmic partitioning of the GLABRA2 homeodomain protein plays a role in determining trichome cell fate. With respect to the differentiation of subepidermal cell types, molecular links have been made between auxin physiology and vascular development, and between plastid function and photosynthetic cell type development

Spatial regulation of photosynthetic development in C4 plants.

Leaf development in C4 plants requires the morphological and functional differentiation of two photosynthetic cell types (bundle sheath and mesophyll). Photosynthetic reactions are split between bundle sheath and mesophyll cells, with each cell type accumulating a specific complement of photosynthetic enzymes. Current evidence suggests that in order to activate this cell-specific expression of photosynthetic genes, bundle sheath and mesophyll cells must interpret positional information distributed locally around each vein

The filifolium1 mutation perturbs shoot architecture in Zea mays (Poaceae).

Plant architecture is elaborated through the activity of shoot apical meristems (SAMs), which produce repeating units known as phytomers, that are comprised of leaf, node, internode, and axillary bud. Insight into how SAMs function and how individual phytomer components are related to each other can been obtained through characterization of recessive mutants with perturbed shoot development. In this study, we characterized a new mutant to further understand mechanisms underlying shoot development in maize. The filifolium1-0 (ffm1-0) mutants develop narrow leaves on dwarfed shoots. Shoot growth often terminates at the seedling stage from depletion of the SAM, but if plants survive to maturity they are invariably bushy. KN1-like homeobox (KNOX) proteins are inappropriately regulated in mutant apices, adaxial identity is not specified in mutant leaves, and axillary meristems develop precociously. We propose that FFM1 acts to demarcate zones within the SAM so that appropriate fates can be conferred on cells within those zones by other factors. On the basis of the mutant phenotype, we also speculate about different relationships between phytomer components in maize and Arabidopsis

Conserved transport mechanisms but distinct auxin responses govern shoot patterning in Selaginella kraussiana.

To provide a comparative framework to understand the evolution of auxin regulation in vascular plants, the effect of perturbed auxin homeostasis was examined in the lycophyte Selaginella kraussiana. Polar auxin transport was measured by tracing tritiated IAA in excised shoots. Shoots were cultured in the presence of auxin efflux inhibitors and exogenous auxin, and developmental abnormalities were documented. Auxin transport in Selaginella shoots is exclusively basipetal, as in angiosperms. Perturbed auxin transport results in the loss of meristem maintenance and abnormal shoot architecture. Dichotomous root branching in Selaginella appears to be regulated by an antagonistic relationship between auxin and cytokinin. The results suggest that basipetal polar auxin transport occurred in the common ancestor of lycophytes and euphyllophytes. Although the mechanisms of auxin transport appear to be conserved across all vascular plants, distinct auxin responses govern shoot growth and development in lycophytes and euphyllophytes