Zobrazeno 1 - 10
of 264
pro vyhledávání: '"Richard L. Magin"'
Publikováno v:
Communications Physics, Vol 6, Iss 1, Pp 1-11 (2023)
Abstract Heterogeneous media diffusion is often described using position-dependent diffusion coefficients and estimated indirectly through mean squared displacement in experiments. This approach may overlook other mechanisms and their interaction wit
Externí odkaz:
https://doaj.org/article/2900e84fe3eb428b9a430e2e7435c2a3
Publikováno v:
Quantum Reports, Vol 4, Iss 3, Pp 296-308 (2022)
We investigate the solutions of a two-dimensional Schrödinger equation in the presence of geometric constraints, represented by a backbone structure with branches, by taking a position-dependent effective mass for each direction into account. We use
Externí odkaz:
https://doaj.org/article/a723f13a469f4de4b45de97527b91370
Autor:
Rodolfo G. Gatto, Carina Weissmann, Manish Amin, Ariel Finkielsztein, Ronen Sumagin, Thomas H. Mareci, Osvaldo D. Uchitel, Richard L. Magin
Publikováno v:
Animal Models and Experimental Medicine, Vol 3, Iss 2, Pp 117-129 (2020)
Abstract Objective Cell structural changes are one of the main features observed during the development of amyotrophic lateral sclerosis (ALS). In this work, we propose the use of diffusion tensor imaging (DTI) metrics to assess specific ultrastructu
Externí odkaz:
https://doaj.org/article/7f28b6b02eda4ed5a69c7831c3db9200
Autor:
Richard L. Magin, Ervin K. Lenzi
Publikováno v:
Mathematics, Vol 10, Iss 24, p 4785 (2022)
The application of fractional calculus in the field of kinetic theory begins with questions raised by Bernoulli, Clausius, and Maxwell about the motion of molecules in gases and liquids. Causality, locality, and determinism underly the early work, wh
Externí odkaz:
https://doaj.org/article/0167c79ad2844d229f055c079196c249
Publikováno v:
Fractal and Fractional, Vol 6, Iss 5, p 242 (2022)
The equivalence of continuous-/discrete-time autoregressive-moving average (ARMA) systems is considered in this paper. For the integer-order cases, the interrelations between systems defined by continuous-time (CT) differential and discrete-time (DT)
Externí odkaz:
https://doaj.org/article/b7df814ea69749ffb5cce48873fbed64
Autor:
Thomas R. Barrick, Catherine A. Spilling, Carson Ingo, Jeremy Madigan, Jeremy D. Isaacs, Philip Rich, Timothy L. Jones, Richard L. Magin, Matt G. Hall, Franklyn A. Howe
Publikováno v:
NeuroImage, Vol 211, Iss , Pp 116606- (2020)
To enable application of non-Gaussian diffusion magnetic resonance imaging (dMRI) techniques in large-scale clinical trials and facilitate translation to clinical practice there is a requirement for fast, high contrast, techniques that are sensitive
Externí odkaz:
https://doaj.org/article/4112b873f137457ba8d01506863f1eab
Publikováno v:
Mathematics, Vol 10, Iss 3, p 389 (2022)
We investigate diffusion in three dimensions on a comb-like structure in which the particles move freely in a plane, but, out of this plane, are constrained to move only in the perpendicular direction. This model is an extension of the two-dimensiona
Externí odkaz:
https://doaj.org/article/5ac747219230488b96476d7178bb1954
Autor:
Rodolfo G. Gatto, Manish Y. Amin, Daniel Deyoung, Matthew Hey, Thomas H. Mareci, Richard L. Magin
Publikováno v:
Translational Neurodegeneration, Vol 7, Iss 1, Pp 1-14 (2018)
Abstract Background Amyotrophic lateral sclerosis (ALS) is a disease characterized by a progressive degeneration of motor neurons leading to paralysis. Our previous MRI diffusion tensor imaging studies detected early white matter changes in the spina
Externí odkaz:
https://doaj.org/article/ad4379d2cae04865a43c9bc3d162b872
Autor:
Guangyu Dan, Weiguo Li, Zheng Zhong, Kaibao Sun, Qingfei Luo, Richard L. Magin, Xiaohong Joe Zhou, M. Muge Karaman
Publikováno v:
Mathematics, Vol 9, Iss 14, p 1688 (2021)
It has been increasingly reported that in biological tissues diffusion-weighted MRI signal attenuation deviates from mono-exponential decay, especially at high b-values. A number of diffusion models have been proposed to characterize this non-Gaussia
Externí odkaz:
https://doaj.org/article/66235b56470643b782c8aeb1f985b0a9
Autor:
Richard L. Magin, Ervin K. Lenzi
Publikováno v:
Mathematics, Vol 9, Iss 13, p 1481 (2021)
Fractional-order time and space derivatives are one way to augment the classical diffusion equation so that it accounts for the non-Gaussian processes often observed in heterogeneous materials. Two-dimensional phase diagrams—plots whose axes repres
Externí odkaz:
https://doaj.org/article/7760a5b11d554e56b2355f60aa65a1c1