For democratic elections to be fair, voting districts must have similar sizes. When populations shift, districts need to be redistributed -- a complex and, in many countries, controversial task when political parties attempt to influence redistricting. Mathematicians at the Technical University of Munich (TUM) have now developed a method that allows the efficient calculation of optimally sized voting districts.
A proposed tax on systemically risky financial transactions could reduce the risk of financial system crashes by spurring financial networks to reshape in more resilient ways.
Considering the brain's network of activity, rather than just individual regions, could help us understand why some brain injuries are much worse than others, according to a study published PLOS Computational Biology by Maxwell B. Wang, Julia Owen, and Pratik Mukherjee from University of California, San Francisco, and Ashish Raj from Weill Cornell Medicine.
Scientists from the Excellence Cluster Universe at the Ludwig-Maximilians-Universität Munich have established 'Cosmowebportal', a unique data center for cosmological simulations located at the Leibniz Supercomputing Centre (LRZ) of the Bavarian Academy of Sciences. The complete results of a series of large hydrodynamical cosmological simulations are available, with data volumes typically exceeding several hundred terabytes. Scientists worldwide can interactively explore these complex simulations via a web interface and directly access the results.
With closer inspection, researchers have recognized that what appears to be a randomly dispersed herd peacefully eating grass is in fact a complex system of individuals in a group facing differing tensions. A team of mathematicians and a biologist has now built a mathematical model that incorporates a cost function to behavior in such a herd to understand the dynamics of such systems.
Using a sophisticated type of mathematics in a way that it has never been used before in neuroscience, a team from the Blue Brain Project has uncovered a universe of multi-dimensional geometrical structures and spaces within the networks of the brain. This research, published in Frontiers in Computational Neuroscience, has significant implications for our understanding of the brain.
Bali's famous rice terraces, when seen from above, look like colorful mosaics because some farmers plant synchronously, while others plant at different times. The resulting fractal patterns are rare for man-made systems and lead to optimal harvests without global planning, according to new research in PNAS. Recognizing this signature of emergent system-wide cooperation may help planners to avoid unproductive changes to successful bottom-up systems of environmental management.
When many individual neurons collect data, how do they reach a unanimous decision? New research from the Santa Fe Institute's collective computation group suggests a two-phase process.
Taking a fresh look at evidence from satellite data, and using the latest theories from complexity science, researchers at the University of Bristol have provided new evidence to show that the Amazon rainforest is not as fragile as previously thought. The research is published today in Nature Communications.
A new computational modeling technique could indicate when atherosclerotic plaques will likely undergo rapid growth, reports a study published this week in PLOS Computational Biology.