R
Richard L. Magin
Researcher at University of Illinois at Chicago
Publications - 286
Citations - 13874
Richard L. Magin is an academic researcher from University of Illinois at Chicago. The author has contributed to research in topics: Fractional calculus & Anomalous diffusion. The author has an hindex of 53, co-authored 280 publications receiving 12668 citations. Previous affiliations of Richard L. Magin include Ohio State University & University of Rochester.
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Fractional Calculus in Bioengineering
TL;DR: Fractional calculus (integral and differential operations of noninteger order) is not often used to model biological systems, which is surprising because the methods of fractional calculus, when defined as a Laplace or Fourier convolution product, are suitable for solving many problems in biomedical research.
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Fractional calculus models of complex dynamics in biological tissues
TL;DR: Three areas of bioengineering research (bioelectrodes, biomechanics, bioimaging) are described where fractional calculus is being applied to build new mathematical models that predict macroscale behavior from microscale observations and measurements.
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Dendrimer‐based metal chelates: A new class of magnetic resonance imaging contrast agents
Erik C. Wiener,M. W. Brechbiel,Richard L. Magin,O. A. Gansow,Donald A. Tomalia,Paul C. Lauterbur +5 more
TL;DR: It is observed that these dendrimer‐based agents enhance conventional MR images and 3D time of flight MR angiograms, and that those with molecular weights of 8,508 and 139,000 g/mole have enhancement half lives of 40 ± 10 and 200 ± 100 min, much longer than the 24 ± 4 min measured for Gd(III)‐diethylenetriaminepentaacetic acid.
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Fractional calculus in viscoelasticity: An experimental study
TL;DR: In this article, the authors compared fractional and integer order models to describe the viscoelastic properties of soft biological tissue-like materials under harmonic mechanical loading, and found that fractional order models can represent the more complicated rate dependency of material behavior of biological tissues over a broad spectral range.
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High-Resolution Microcoil 1H-NMR for Mass-Limited, Nanoliter-Volume Samples
TL;DR: In this paper, high-resolution, proton nuclear magnetic resonance (NMR) spectra of 5-nanoliter samples were obtained with much higher mass sensitivity [signal-to-noise ratio (S/N) per micromole] than with traditional methods.