(x) when u(0, x) is the cumulative distribution function of a signed measure on IR. We associate a nonlinear martingale problem with the Fokker-Planck equation obtained by spatial differentiation of the conservation law. After checking uniqueness for both the conservation law and the martingale problem, we prove existence thanks to a propagation of chaos result for systems of interacting partic...

abstractobjective: to investigate the impact of respiratory motion on localization, and quantification lung lesions for the gross tumour volume utilizing an in-house developed auto3dreg programme and dynamic nurbs-based cardiac-torso digitised phantom (ncat). methods: respiratory motion may result in more than 30% underestimation of the suv values of lung, liver and kidney tumour lesions. the m...

oceanographic images obtained from environmental satellites by a wide range of sensors allow characterizing natural phenomena through different physical measurements. for instance sea surface temperature (sst) images, altimetry data and ocean color data can be used for characterizing currents and vortex structures in the ocean. the purpose of this thesis is to derive a relatively complete frame...

A recent study (H. Takemura & I. Murakami, 2010) showed enhancement of motion detection sensitivity by an orthogonal induced motion, suggesting that a weak motion component can combine with an orthogonal motion component to generate stronger oblique motion perception. Here we examined how an orthogonal motion aftereffect (MAE) affects motion detection sensitivity. After adaptation to vertical m...

In previous papers authors have considered agents as inertia-less self driven particles and designed a flocking algorithm. Application of this algorithm to agents with considerable inertial characteristics needs a behavioural controller. The controller uses the local information and helps every agent to imitate the desired behaviour as a member of the flocking frame which covers the main is...

A charged system search algorithm (CSS) is applied to the optimal cost design of water distribution networks. This algorithm is inspired by the Coulomb and Gauss’s laws of electrostatics in physics. The CSS utilizes a number of charged particles which influence each other based on their fitness values and their separation distances considering the governing law of Coulomb. The well-known benchm...

one of the debates concerning concepts of “medial motion” and “traversal motion” is the question of which of these two concepts of motion corresponds to motion in the corporeal world. in the present article we intend to employ the language of mathematics to present a model for each of these two concepts to study the above mentioned problem. as a result, medial motion represents a covering funct...

We observe that expert surgeons performing MIS learn to minimize their tool path length and avoid collisions with vital structures. We thus conjecture that an expert surgeon's tool paths can be predicted by minimizing an appropriate energy function. We hypothesize that this reference path will be closer to an expert with greater skill, as measured by an objective measurement instrument such as ...

A multiscale-linking computer simulation of irreversible deposition of particles is developed by integrating mesoscopic Brownian dynamics simulations with continuum level conservation laws. The algorithm accounts for the flux of the particles from the bulk suspension into the simulation box by solving the macroscopic mass conservation equation. The location of particles introduced from the bulk...