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An active strain formulation for orthotropic constitutive laws arising in cardiac mechanics modeling is introduced and studied. The passive mechanical properties of the tissue are described by the Holzapfel-Ogden relation. In the active strain formulation, ...
We present an operational framework for the calibration of demand models for dynamic traffic simulations, where calibration refers to the estimation of a structurally predefined model's parameters from real data. Our focus is on disaggregate simulators tha ...
Bio-equivalents (e.g., 17β-estradiol or dioxin equivalents) are commonly employed to quantify the in vitro effects of complex human or environmental samples. However, there is no generally accepted data analysis strategy for estimating and reporting bio-eq ...
Society of Environmental Toxicology and Chemistry Press2013
Digital photography exists since 1975, when Steven Sasson attempted to build the first digital camera. Since then the concept of digital camera did not evolve much: an optical lens concentrates light rays onto a focal plane where a planar photosensitive ar ...
Particle manifold method (PMM) is a new extension of the numerical manifold method (NMM). PMM uses a mathematical cover system to describe the motion and deformation of a particle-based physical domain. By introducing the concept of particle into NMM, PMM ...
We review recent results with D. Chelkak and K. Izyurov, where we rigorously prove existence and conformal invariance of scaling limits of magnetization and multi-point spin correlations in the critical Ising model on an arbitrary simply connected planar d ...
This paper provides a robustness analysis of the method we recently developed for rhythmic movement assistance using adaptive oscillators. An adaptive oscillator is a mathematical tool capable of extracting high-level features (i.e. amplitude, frequency, o ...
Gottfried Erich Rosenthal (1745-1813) was born and died at Nordhausen (now in Thuringia). As his ancestors, he became a Master-Baker after his studies at the local Gymnasium, where he excelled in mathematics. In 1779, after reading the 1772 treatise by Del ...
Recent research has explored the principles of service system viability based on systems inquiry invoking perspectives from Systems Theory and Cybernetics in particular Stafford Beer’s viable systems model (VSM). However based on Banathy & Jenlink (2004), ...
The dynamic traffic assignment (DTA) problem is to find the state of a transportation system where demand (travel behavior) and supply (network performance) are mutually consistent. The difficulty of solving this problem with mathematical rigor led to the ...