Professor Richard L. Magin's visit to UC Merced Dec. 04 - Dec. 07, 2013
Prof. Richard L. Magin is a deep thinker and a significant contributor in the area of AFC (Applied Fractional Calculus) in bioengineering. We are very happy to host his visit. I urge all of you not to miss this rare chance to attend one of his two invited seminars (detailed information shown below).
EECS seminar information is here.
ME seminar information:
ME Graduate Program Seminar Series -- Fall 2013
December 6, Friday, 1:30 - 2:30 p.m.
Science and Engineering Building, Room 270
Fractional-Order Models of Anomalous Diffusion: Memory, Non-locality and Entropy
Richard L. Magin
Department of Bioengineering
University of Illinois at Chicago
Abstract: Fractional-order dynamic models (e.g., systems of ordinary and partial differential equations of non-integer order in time and space) are very effective tools for simulating the behavior of complex systems. Justification for such models is typically based on improved fits to experimental data by minimizing the mean squared error. This rationale, however, is dependent on the particular fractional derivative selected (Riemann-Liouville, Caputo, Riesz, etc.), and the order and number of free parameters in the corresponding integer model. Nevertheless, there seems to be growing recognition that fractional-order models work better than integer-order models when describing the electrical and mechanical properties of multi-scale, heterogeneous materials. In order to address this issue, we employ high-resolution magnetic resonance imaging (MRI) to characterize the rotational and translational dynamics of water in complex biological tissues, such as the brain. Our approach, in the case of anomalous diffusion, assumes a system governed by a fractional order diffusion equation generalized in space and in time. This method establishes the utility of fractional-order models in terms of a restricted or hindered random walk through the fractional order of the derivatives and the corresponding Shannon spectral entropy. This fractional-order representation gives a spectral entropy minimum for normal, or Gaussian diffusion, with all surrounding derivative orders leading to greater values of spectral entropy.
Speaker: Professor Magin completed undergraduate and graduate studies in physics at Georgia Tech (BS 69, MS 72) followed by additional graduate work in biophysics at the University of Rochester (PhD 76). He worked as a postdoctoral student for three years in the Laboratory of Chemical Pharmacology at the National Cancer Institute. In 1979 he joined the faculty in the Department of Electrical and Computer Engineering at the University of Illinois at Urbana-Champaign. He worked in Urbana for 18 years as an Assistant, Associate, and full Professor before joining the Department of Bioengineering at the University of Illinois at Chicago in 1998. He served as Head of the Department of Bioengineering at UIC from 1998 to 2010. He is currently a Professor of Bioengineering at UIC and directs the Diagnostic NMR Systems Laboratory. Professor Magin is a Fellow of the IEEE and AIMBE, and former Editor of the Critical Reviews in Biomedical Engineering. In 1989-90 Dr. Magin completed a sabbatical year in the Department of Radiology of Shands Medical Center at the University of Florida in Gainesville, Florida. In 2006 Professor Magin received a Fulbright grant to lecture and conduct research at the Technical University of Kosice in Kosice, Slovakia. In 2012 he was designated a “Distinguished” Professor of Bioengineering at UIC. His research interests focus on the applications of magnetic resonance imaging (MRI) in science and engineering.
Coffee and Cookies served at 1:15pm.