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| M. Akay |
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| PhD, Professor & Interim Chair, Harrington Department of Bioengineering, Fulton School of Engineering, Arizona State University, USA |
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Short CV
Professor Metin Akay, Dartmouth College, received his B.S. and M.S. in Electrical Engineering from the Bogazici University, Istanbul, Turkey in 1981 and 1984, respectively and a Ph.D. degree from Rutgers University in 1990.
He is author/coauthor of the eleven text/edited books and is the program chair of the Annual IEEE EMBS Conference 2001 and the IEEE EMBS Summer School 2001.He is the IEEE Press series editor on SERIES IN BIOMEDICAL ENGINEERING sponsored by the IEEE Engineering in Medicine and Biology Society.
He received the IEEEE Engineering in Medicine and Biology Society Early Career Achievement Award 1997. He also received the 1998 and 2000 Young Investigator Award of the Sigma Xi Society, Northeast Region for his outstanding research activity and the ability to communicate the importance of his research to the general public. His research areas of interest are neuro and respiratory engineering and biomedical informatics.
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Title of Tutorial
Biomedical Informatics and Bioinformatics
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Abstract
Genomics and Proteomics engineering is an emerging field and involves with the
biology, medicine, computer science and engineering. It is an
interdisciplinary field and focus on the understanding of the structural and
functional relationship among gene sequences. The related computational
technologies can be classified as the DNA sequence and DNA mircoarray analysis
methods. The DNA sequence analysis methods have been used to extract the
useful information related to the sequence structure including the detection
of the coding and non-coding regions in DNA sequence and the detection of the
similarity among DNA sequences. But, the DNA microarray technology based on
the parallel processing has been used to monitor the large scale gene
expressions simultaneously. These two technologies have revolutionized the
computational biology and biomedical informatics.
In this paper, we will discuss the traditional and advanced signal and image
processing methods to analyze, model and interpret the DNA, RNA and protein
sequences to gain insights into the dynamics of genomic functions for the
early diagnosis of diseases and the development of more targeted drugs. We
will mainly review the widely used statistical and nonstationary and
stationary signal and image processing methods for the DNA structure
prediction, detection, feature extraction, and classification of
differentially expressed genes. We will mainly discuss the wavelet transform
applications in DNA sequence analysis.
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| D. Colton |
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| UniDel Professor, Department of Mathematical Sciences, University of Delaware, USA |
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Short CV
David Colton received the B.S. degree in mathematics from the California Institute of Technology in 1964,the M.S. degree from the University of Wisconsin in 1965,the Ph.D degree from the University of Edinburgh in 1967 and the D.Sc. degree from the University of Edinburgh in 1977.From 1967 to 1975 he was with the Department of Mathematics at Indiana University and from 1975 to 1978 he held the Chair of Applied Analysis at the University of Strathclyde in Glasgow,Scotland.Since 1978 he has been Professor of Mathematics at the University of Delaware.He became Unidel Professor in 1996. Professor Colton has written over 150 research papers in refereed journals and 5 books including Inverse Acoustic and Electromagnetic Scattering Theory(with R. Kress) and Qualitative Methods in Inverse Scattering Theory(with F. Cakoni) both published with Springer-Verlag. |
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Title of Tutorial
The Inverse Scattering Problem for Electromagnetic Waves |
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Abstract
This tutorial is an introduction to the inverse scattering problem for electromagnetic waves with,for the sake of simplicity, emphasis being placed on scattering of time harmonic plane waves by an infinite cylinder.We begin by considering scattering by a perfect conductor.In this case the inverse scattering problem is to determine the shape D of the scatterer from a knowledge of the asymptotic behavior of the scattered wave,i.e. the far field pattern.We first consider uniqueness theorems for this problem and then proceed to briefly discuss three main reconstruction methods:the use of the physical optics approximation,Newton's method and the linear sampling method.We then briefly consider the inverse scattering problem for Maxwell's equation in three dimensions in the case when the scatterer is a perfect conductor.In the second hour we return to the inverse scattering problem for an inhomogeneous cylinder,recall the relevant uniqueness theorems and discuss the far field operator with particular emphasis on when the far field operator is injective with dense range.This leads to the study of a new spectral problem for partial differential equations called the interior transmission problem.We then describe the linear sampling method for determining the support D of the inhomogeneous scattering object with emphasis on the role played by the interior transmission problem.We conclude with some very recent results on obtaining lower bounds for the index of refraction from a knowledge of the far field pattern for different frequencies including a brief discussion of the special problems that occur when the medium is anisotropic.
These tutorials are designed to be introductory in nature and accessible to both graduate students and non-experts in scattering theory.
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| Y. Missirlis |
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| Professor,
Department of Mechanical Engineering and Aeronautics (Faculty), Univesrity of Patras, Greece |
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Short CV
Graduated with a Diploma of Chemical Engineering from the NTUAthens (1969), an M.Sc. from Syracuse University (1971) and Ph.D. from Rice University (1973) on "Structure-function relationship of human aortic valves". Served as Ast. and then Ass. Professor at the Dept. of Engineering Physics, McMaster University (1974-80), and since 1981 is Professor at the Dept. of Mechanical Engineering& Aeronautics, University of Patras, and Director of the Laboratory of Biomechanics & Biomedical Engineering. Author of more than 65 peer reviewed papers, coeditor of 2 books on Protein Adsorption and Platelet interaction with Biomaterials, and has served for several years at the Council of the European Society of Biomechanics and the World Council of Biomechanics. Was Vice-Rector of the University of Patras (1986-88). |
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Title of Tutorial
Biomaterials and Tissue Engineering |
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Abstract
A short historical sketch of medical technology advances will be presented with emphasis on the material aspects of artificial organs. The interdisciplinary nature of Biomaterials will be emphasised and the concepts of "biocompatibility" will be addressed as well as techniques for assessing the relevant parameters. Then, the areas of Regenerative Medicine and Tissue Engineering will be discussed through a comprehensive approach, stemming from a current european research project. Integral part of this talk is the different techniques for measuring interfacial forces between bio and non-bio surfaces at the level of nN.
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| B. Sleeman |
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| H. Ammari |
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| Professor, Laboratoire Ondes et Acoustique, Ecole Polytechnique, Paris, France |
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Short CV
Habib Ammari (born in June 1969) received the B.S., M.S., and Ph.D. degrees in mathematics from Ecole Polytechnique Palaiseau in 1992, 1993, and 1995, respectively, and the Habilitation Degree from Université Pierre et Marie Curie (Paris 6), in 1999. He is currently Director of Research at the French Center of Scientific Research (CNRS). His current research interests include biomedical imaging, electrical impedance tomography, inverse problems, and electromagnetic modelling. He has contributed over 100 peer-reviewed articles and book chapters, authored three books and edited two others. He is serving as an editor of several mathematical
journals. Habib Ammari has been invited to more than 30 international conferences. He produced 9 Ph.D. students and served as adviser for 7 post-docs. |
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Title of Tutorial
Mathematical Modeling in Emerging Biomedical Imaging |
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Abstract
We will highlight some recent developments in mathematical modeling of emerging, non standard, biomedical imaging techniques that are not yet established as standard imaging tools. |
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| T. Arens |
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| Lecturer, Institute for Algebra und Geometry, University of Karlsruhe, Germany |
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Short CV
Tilo Arens received his degree Diplom degree in 1997 from Karlsruhe
University, Germany. After that he was awarded funding from German Academic
Exchange Service (DAAD) and the European Union through a Marie Curie
Training Grant to work on his PhD thesis under the supervision of
Dr. S.N. Chandler Wilde at Brunel University in the United
Kingdom. This was completed in 2000. After an additional year at
Brunel University, Tilo Arens joined the group of Prof. A. Kirsch at
Karlsruhe University where he still works today.
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Title of Tutorial
Convergence Results for the Linear Sampling Method |
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Abstract
In the talk, convergence results for the Linear Sampling method will be
presented. This method generates a characterizing of an unknown
obstacle in inverse scattering directly from the data. No direct
problem needs to be solved. We give a novel interpretation of the
method as a regularization method for an operator equation related to
the corresponding direct problem. A new, very strong connection to the
Factorization method is proved. The Facotrization Method is an
approach different from Linear Sampling for reconstructing obstacles
in inverse scattering problems. Through this connection, the
convergence of the Linear Sampling method can be established both for
sampling points inside and outside the obstacle.
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| F. Cakoni |
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| N. Filipovic |
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| Assistant Professor, Faculty of Mechanical Engineering, Kragujevac, Servia & Montenegro -Serbia, Vice-Director of Center for supercomputing |
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Short CV
Prof. Nenad Filipovic is one of the leader of the Center for Bioengineering at University of Kragujevac which is carrying a number of international scientific projects in the field of bioengineering modeling and software development. The most dominant project is between Center and Harvard University in the field of blood flow and air flow modeling in physiology. Prof. Nenad Filipovic has already a large number of papers recently published or currently in press in the field of methods of computer modeling, which spans from traditional finite element method to modern discrete particle modeling and multiscale modeling in engineering and bioengineering. |
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Title of Tutorial
Multiscale Modeling of Thrombosis by Finite Element (FE) and Dissipative Particle Dynamics (DPD) in the Large Arteries |
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Abstract
Multiscale Modeling of Thrombosis by Finite Element (FE) and Dissipative Particle Dynamics (DPD) in the Large Arteries
Nenad Filipovic
Center for Bioengineering, Faculty of Mechanical Engineering
and Center for Scientific Research SASA, University of Kragujevac, Serbia
Background: To better understand the mechanisms leading to the formation and growth of mural thrombi on blood vessel wall, we have developed a comprehensive model of platelet-mediated thrombogenesis including platelet activation, platelet transport in flowing blood, kinetics and mechanics of platelet-platelet and platelet surface adhesion.
Objectives: We used a multiscale procedure to couple a mesoscale discrete particle model and a macroscale continuum finite element (FE) model of blood flow. A dissipative particle dynamics (DPD) method treats the blood (i.e., colloidal-composed medium) as a group of meso-scale particles interacting through conservative, dissipative and random forces.
Material and Methods: The entire blood flow domain is divided into a local domain and a global domain. Blood flow in the local domain is modeled with both DPD and FE method, while blood flow in the global domain is modeled by the FE method only. DPD method for blood plasma and platelets are discretized into Voronoy cells and treated as mesoscopic size particles. Aggregation and adhesion of activated platelets are modeled by considering attractive forces generated from von Willebrand factor at the blood vessel wall. The values of the effective spring constants characterize the bond stiffness of the aggregation/adhesion interaction.
Results: To test this model, we simulated the platelet deposition in a perfusion chamber. By matching the simulation results to the experiments, the effective platelet aggregation/adhesion spring constants were determined and were found to be within reasonable ranges.
Conclusion: We conclude that our new multiscale FE-DPD analysis provides the capability of simulating the time-dependent adhesion of platelets in the large arteries... This model offers a new tool that gives an insight into the process of thrombosis in a wide range of biomaterials and complex blood flows.
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| A. Kirsch |
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| Professor, Institute of Algebra and Geometry, University of Karlsruhe, Germany |
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Short CV
Andreas Kirsch studied mathematics and physics at the University of Goettingen
(Germany), received his Diploma degree in 1975 and his PhD degree in 1978 (both
from the University of Goettingen). He spent the academic year 1979/1980 at the
University of Delaware (USA) with Thomas Angell and David Colton, where he got
familiar with direct and inverse problems in scattering theory. He received his
Habiliation degree in 1984 with the thesis entitled ''Generalized Boundary
Value- and Control Problems for the Helmholtz Equation''. In 1985 he accepted an
offer to a professorship in geophysics at the University of Goettingen. From
1988 to 1996 he held an associate professorship at the University of
Erlangen-Nurenberg, and since 1996 he has been full professor of mathematics at
the University of Karlsruhe. Professor Kirsch has written over 50 research
papers in refereed journals and 2 books entitled ''An Introduction to the
Mathematical Theory of Inverse Problems'' and (jointly with Thomas Angell)
''Optimization Methods in Electromagnetic Radiation''. |
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Title of Tutorial
An Integral Equation for the Scattering Problem for an
Orthotropic Medium and the Factorization Method |
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Abstract
In this talk we study the scattering of a transverse electric (i.e.
TE) polarized electromagnetic wave by an anisotropic infinite cylinder in
z-direction. We assume a special form of the index of refraction such that the
problem reduces to a scalar scattering problem for the z-components of the
magnetic fields. In the first part we will recall an integral equation for the
scattered field which is of Lippmann-Schwinger type. Although this integral
equation is not new we will propose a more elegant treatment of this equation
w.r.t. existence of a variational solution. The second part is devoted to the
corresponding inverse problem where one wants to determine the support of the
contrast from measurements of the far field patterns for all incident plane
waves. We will treat the inverse problem by the Factorization Method.
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| A. Fokas
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| Professor, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, UK
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Short CV
A.S. Fokas has a BSc in Aeronautics from Imperial College (1975), a PhD in
Applied Mathematics from the California Institute of Technology (1979) and
an MD from the University of Miami, School of Medicine (1986). In 1986, at
the age of 33, he was appointed Professor and Chairman of the Department
of Mathematics and Computer Science of Clarkson University, USA. In 1996
he was appointed to a Chair in Applied Mathematics at Imperial College,
UK. In 2002 he was appointed to the newly inaugurated Chair in Nonlinear
Mathematical Science at the University of Cambridge, UK. He is the author
of more than 200 papers in such diverse areas as models for leukaemia (with J B Keller), magnetoencephalography (with Y Kurylev and I M
Gelfand), bi-Hamiltonian structures (with B Fuchssteiner and I M Gelfand),
nonlinear singular integro-differential equations (with M J Ablowitz and M
D Kruskal), Painleve equations (with X Zhou), dressing method (with V E
Zakharov), orthogonal polynomials-quantum gravity (with A R Its),
nonlinear multidimensional PDEs (with R R Coifman and L Y Sung) and steady
streaming (with J T Stuart).
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Title of Tutorial
Analysis of a single and of a pair of eigenvalue equations and
applications to Imaging and to PDEs
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Abstract
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