Connecting the Kuramoto Model and the Chimera State

Since its discovery in 2002, the chimera state has frequently been described as a counter-intuitive, puzzling phenomenon. The Kuramoto model, in contrast, has become a celebrated paradigm useful for understanding a range of phenomena related to phase transitions, synchronization and network effects. Here we show that the chimera state can be understood as emerging naturally through a symmetry breaking bifurcation from the Kuramoto model's partially synchronized state. Our analysis sheds light on recent observations of chimera states in laser arrays, chemical oscillators, and mechanical pendula.Comment: 5 pages, 6 figure

Genome-wide analysis of intracellular pH reveals quantitative control of cell division rate by pHc in Saccharomyces cerevisiae.

BACKGROUND: Because protonation affects the properties of almost all molecules in cells, cytosolic pH (pH(c)) is usually assumed to be constant. In the model organism yeast, however, pH(c )changes in response to the presence of nutrients and varies during growth. Since small changes in pH(c )can lead to major changes in metabolism, signal transduction, and phenotype, we decided to analyze pH(c )control. RESULTS: Introducing a pH-sensitive reporter protein into the yeast deletion collection allowed quantitative genome-wide analysis of pH(c )in live, growing yeast cultures. pH(c )is robust towards gene deletion; no single gene mutation led to a pH(c )of more than 0.3 units lower than that of wild type. Correct pH(c )control required not only vacuolar proton pumps, but also strongly relied on mitochondrial function. Additionally, we identified a striking relationship between pH(c )and growth rate. Careful dissection of cause and consequence revealed that pH(c )quantitatively controls growth rate. Detailed analysis of the genetic basis of this control revealed that the adequate signaling of pH(c )depended on inositol polyphosphates, a set of relatively unknown signaling molecules with exquisitely pH sensitive properties. CONCLUSIONS: While pH(c )is a very dynamic parameter in the normal life of yeast, genetically it is a tightly controlled cellular parameter. The coupling of pH(c )to growth rate is even more robust to genetic alteration. Changes in pH(c )control cell division rate in yeast, possibly as a signal. Such a signaling role of pH(c )is probable, and may be central in development and tumorigenesis

Snelle meetmethoden als managementinstrument bij de teelt van ruwvoer

Quick measuring methods as management tools in the production of roughage. The most promising technique is spectroscopy, which can be applied in on-line analysis methods for measuring dry matter yield and feed value of silage and grass and which can be available for use within 5 years as a management tool in the production of roughage on dairy farms. Conceptual spectroscopy seems the best technique under the conditions mentioned for measuring feed value. The use of spectroscopy in a dotted measurement seems to be the best technique for measuring dry matter yield