We wish to thank the following for their contribution to the success of this conference: European Office of Aerospace Research and Development, Air Force Office of Scientific Research, United States Air Force Research Laboratory (www.london.af.mil), and Tel Aviv University, Tel Aviv, Israel.

Speaker: Jennifer K. Ryan,
Delft Institute for Applied Mathematics,
Delft University of Technology

Title: Position-Dependent Smoothness-Increasing Accuracy-Conserving Filtering for
Discontinuous Galerkin Solutions

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Speaker: Daniel Michelson, Department of Computer Science & Applied Mathematics, The Weizmann Institute of Science

Title: Non-linear Stability of Shock Waves for Multi-dimensional Viscous Conservation Laws

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Speaker: Gadi Fibich, Tel Aviv University

Title: Continuations of the nonlinear Schrodinger equation beyond the singularity

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Speaker: Eli Turkel, Tel Aviv University

Title: High Accuracy Solution of the Helmholtz Equation in General Shaped Domains and Interfaces

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Speaker: Wai Sun Don, Hong Kong Baptist University

Title: High Order Weighted Essentially Non-Oscillatory WENO-Z schemes for Hyperbolic Conservation Laws

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Speaker: Zeev Schuss, Department of Mathematics, Tel-Aviv University

Title: THE NARROW ESCAPE PROBLEM

Abstract:
The narrow escape problem in diffusion theory, which goes back to Lord Rayleigh, is to calculate the mean first passage time, also called the narrow escape time (NET), of a Brownian particle to a small absorbing window on the otherwise reflecting boundary of a bounded domain. The renewed interest in the NET problem is due to its relevance in molecular biology and biophysics. The small window often represents a small target on a cellular membrane, such as a protein channel, which is a target for ions, a receptor for neurotransmitter molecules in a neuronal synapse, a narrow neck in the neuronal spine, which is a target for calcium ions, and so on. The leading order singularity of the Neumann function for a regular domain strongly depends on the geometric properties of the boundary. It can give a smaller contribution than the regular part to the absorption flux through the small window when it is located near a boundary cusp. We find the dependence of the absorption flux on the geometric properties of the domain and thus reveal geometrical features that can modulate the flux. This indicates a possible way to physiologically code information.

Joint work with Amit Singer (Department of Mathematics and PACM, Princeton) and D. Holcman and N. Hoze

(Département de Mathématiques et de Biologie, Ecole Normale Supérieure, France)

Speaker: Doron Levy,
Department of Mathematics and Center for Scientific Computation and Mathematical Modeling
University of Maryland, College Park

Title: Mathematical Models of Leukemia, Cancer Stem Cells, and Drug Resistance

Abstract:

Leukemia is a cancer of the blood that is characterized by an abnormal
production of white blood cells. Traditional approaches for treating
leukemia combine chemotherapy, radiotherapy, and bone marrow (or stem
cell) transplants. The treatment of Chronic Myelogenous Leukemia (CML)
was revolutionized over the past decade with the introduction of new
molecular-targeted drugs. Unfortunately, these drugs keep many patients
in remission but do not cure the disease.
In this talk we will also discuss our recent work on mathematical models
of cancer stem cells and their role in developing drug resistance. When
combined with clinical and experimental data, our mathematical analysis
of drug resistance provides new insights on how to approach treating
CML. This is a joint work with Peter Kim, Cristian Tomasetti, and Peter
Lee.

Speaker: Hillel Tal-Ezer

Title: Highly Accurate Algorithm for Time-Dependent PDEs

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Speaker: Adi Ditkowski

Title: Analysis of the Du Fort-Frankel methods

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