Mathematical Models and Algorithms Challenges

Data Mining – Challenges, Models, Methods and Algorithms

Self-Assembly of Block Copolymers: Theoretical Models and Mathematical Challenges

S (in alphabetic order by speaker surname) Speaker: Masao Doi Title: Computational Implementation of Ohta-Kawasaki Density Functional for Block Polymers having General Architecture Abstract: The Ohta-Kawasaki theory gives a simple expression for the free energy of the melt of block copolymers as a functional of the density distribution of each blocks. Here I will discuss how to generalize this ...

Self-Assembly of Block Copolymers: Theoretical Models and Mathematical Challenges

Recently, topological effects of ring polymers have attracted much attention in various fields of science such as physics, biology and chemistry. DNA knots, knots in proteins, and synthetic ring polymers have been extensively studied not only theoretically but also experimentally. Interestingly, their mesoscopic or macroscopic properties may depend on their topology. The topology of a ring poly...

Mathematical Models and Monte Carlo Algorithms for Physically Based Rendering

Algorithms for image synthesis render photo-realistic imagery, given the description of a scene. Physically based rendering specifically stresses the physical correctness of the algorithms and their results. The algorithms perform an accurate simulation of the behaviour of light, in order to faithfully render global illumination effects such as soft shadows, glossy reflections and indirect illu...

Mathematical Models , Algorithms , and Statistics of Sequence Alignment

The problem of biological sequence comparison arises naturally in an attempt to explain many biological phenomena. Due to the combinatorial structure and pattern preserving properties of the sequences it has attracted not only biologists, but also mathematicians, statisticians and computer scientists. In this work we study one of the most effective tools widely used for comparison of biological...