Mathematical Concepts 69 articles
On the Final Size of Epidemics with Seasonality
We first study an SIR system of differential equations with periodic coefficients describing an epidemic in a seasonal environment. Unlike in a constant environment, the final epidemic size may not be an increasing function of the basic reproduction number R(0) or of the initial fraction of infected...
Evidence for counting in insects.
We investigate the counting ability in honeybees by training them to receive a food reward after they have passed a specific number of landmarks. The distance to the food reward is varied frequently and randomly, whilst keeping the number of intervening landmarks constant. Thus, the bees cannot iden...
GPU-based real-time approximation of the ablation zone for radiofrequency ablation.
We present a fast GPU-based real-time approximation of the ablation zone incorporating the cooling effect of liver vessels. Weighted distance fields of varying RF applicator types are derived from complex numerical simulations to allow a fast estimation of the ablation zone. Furthermore, the heat-si...
Visualizing the electrocardiogram through orbital transform.
International Conference of the IEEE Engineerin... 2010:5290 (2010) PMID 21096061The purpose of this work is to present a new electrocardiogram (ECG) visualization technique through a mathematical transform applied to one lead ECG signal. This transform, called orbital transform (OT) in this work, consists of a remapping of the ECG signal to a spatial curve repre...
[Contemporary cognitive theories about developmental dyscalculia].
In the last years the understanding of cognitive disorders involved in developmental dyscalculia has remarkably increased, but it is nonetheless insufficient. Additional research is required in order to achieve a comprehensive cognitive model of numerical processing development and its disorders. Th...
Giovanni Alfonso Borelli on the construction of galleys.
Estimation, modeling, and simulation of patterned growth in extreme environments.
We need to develop an arsenal of techniques that are of broader applicability. The notion of patterning created in some fashion by biological processes and properties may provide such a generalized property of biological systems no matter what the incidentals of chemistry or environmental conditions...
A new time measurement method using a high-end global navigation satellite system to analyze alpine skiing.
Accurate time measurement is essential to temporal analysis in sport. This study aimed to (a) develop a new method for time computation from surveyed trajectories using a high-end global navigation satellite system (GNSS), (b) validate its precision by comparing GNSS with photocells,...
Numerical representation in the parietal lobes: abstract or not abstract?
We discuss and challenge the claim that numerical representation is abstract. We discuss the principles of cortical organisation with special reference to number and also discuss methodological and theoretical limitations that apply to numerical cognition and also to the field of cognitive neuroscie...
Memory for the order of briefly presented numerals in humans as a function of practice.
Inoue and Matsuzawa (Curr Biol 17: R1004-R1005, 2007) showed that with an accuracy of approximately 79%, the juvenile chimpanzee, Ayumu, could recall the position and order of a random subset of five Arabic numerals between one and nine when those numerals were presented for only 210 ms on a compute...