In this paper, we reformulate the diffuse interface model of the tumor growth (S.M. Wise et al., Three-dimensional multispecies nonlinear tumor growth-I: model and numerical method, J. Theor. Biol. 253 (2008) 524--543). In the new proposed model, we use the conservative second-order Allen--Cahn equation with a space--time dependent Lagrange multiplier instead of using the fourth-order Cahn--Hil...

We study the one-dimensional Cahn-Hilliard equation with an additional driving term representing, say, the effect of gravity. We find that the driving field E has an asymmetric effect on the solution for a single stationary domain wall (or ‘kink’), the direction of the field determining whether the analytic solutions found by Leung [J. Stat. Phys. 61, 345 (1990)] are unique. The dynamics of a k...

Studies conducted after the marketing authorisation with the objective of identification, characterization or quantification of one or more risks (called PASS "Post-Authorisation Safety Studies"), have been strengthened in the past years with the implementation of the concept of risk management plans (RMPs), established in 2005 in the European regulatory framework and recently amended as part o...

Many ecosystems develop strikingly regular spatial patterns because of small-scale interactions between organisms, a process generally referred to as spatial self-organization. Self-organized spatial patterns are important determinants of the functioning of ecosystems, promoting the growth and survival of the involved organisms, and affecting the capacity of the organisms to cope with changing ...

We propose an extension of Saaty's AHP based on Choquet integration. In our model an appropriate measure of inconsistency is explicitly considered in the aggregation process in order to attenuate (resp. emphasize) the priority values of the criteria with higher (resp. lower) average inconsistency with the remaining criteria.

This study deals with the application of Fuzzy AHP method for evaluating Green supply chain management strategies for cement manufacturing company. The strategies are calculated by the model of Fuzzy AHP, the main attributes, sub attributes and measurement indicators are defined based on the cement manufacturing process. The weights are calculated based on the pair-wise comparison of matrices o...

The grounding process relies on the evidence that speakers give about their understanding (Clark and Schaefer, 1989). However in existing models of grounding (Cahn, 1992; Cahn and Brennan, 1999; Traum, 1999) evidence of understanding is assumed to be symmetrically and synchronously shared by the speakers. We propose a grounding model based on (Cahn, 1992) that removes these simplifications; we ...

Querying graph structured data is a fundamental operation that enables important applications including knowledge graph search, social network analysis, and cyber-network security. However, the growing size of real-world data graphs poses severe challenges for graph search to meet the response-time requirements of the applications. To address these scalability challenges, we develop a learning ...

Resilience and climate adaptability plans for the thermal environment at the urban scale describe the measures to control anthropogenic heat sources in view of reducing skin and air temperatures. Such plans are based either on field measurements and/or simulations to define the energy budget at the urban scale as well as of the energy exchange between urban elements of various types. In terms o...