We studied the effect of nearest pattern interaction on a global pattern formation in a two-dimensional space, where patterns are to grow initially from a noise in the presence of a periodic supply of energy. Although our approach is general, we found that this study is relevant in particular to the pattern formation on a periodically vibrated granular layer, as it gives a unified perspective o...

by the year 2020, the incidence of trauma has been predicted to rise worldwide and the death rate is expected to increase from 5.1 million to 8.4 million. the most important cause of death and severe morbidity up to the age of 45 years is traumatic brain injury, with or without polytrauma. since the early 1970s, traffic-related deaths in germany have dropped continuously—with the exception of t...