Results 91 to 100 of about 12,448 (236)
DIMOND: DIffusion Model OptimizatioN with Deep Learning
Advanced Science, Volume 11, Issue 24, June 26, 2024.This study proposes a self‐supervised and physics‐informed deep learning framework entitled DIMOND to accelerate and improve the diffusion MRI microstructural model fitting. This work systematically and quantitatively evaluates DIMOND on DTI, DKI and NODDI.
Zihan Li +7 more
wiley +1 more source
A seven‐step guide to spatial, agent‐based modelling of tumour evolution
Evolutionary Applications, Volume 17, Issue 5, May 2024.Abstract Spatial agent‐based models are frequently used to investigate the evolution of solid tumours subject to localized cell–cell interactions and microenvironmental heterogeneity. As spatial genomic, transcriptomic and proteomic technologies gain traction, spatial computational models are predicted to become ever more necessary for making sense of ...
Blair Colyer +3 more
wiley +1 more source
Abstract and Applied Analysis, 2014 Computing the matrix elements of the linear operator, which transforms the spherical basis of SO(3,1)-representation space into the hyperbolic basis, very recently, Shilin and Choi (2013) presented an integral formula involving the product of two ...
I. A. Shilin, Junesang Choi
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Subordination Involving Gauss Hypergeometric Function
The primary objective of this work is to obtain some sufficient conditions so that normalized Gauss hypergeometric function satisfies exponential starlikeness and convexity in the unit disk. Moreover, conditions on parameter of this function has been derived for being Janowski convexity and starlikeness with the help of differential subordination ...
Kumar, Anish, Das, Sourav
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On a problem for mixed type equation with partial riemann-liouville fractional derivative
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016 The uniqueness and existence of solutions of a nonlocal problem proved for an equation of mixed type. This equation contains diffusion equation of fractional order.
Oleg A Repin, Anna V Tarasenko
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Hermite-Hadamard inequalities involving the Gauss hypergeometric function
AIP Conference Proceedings, 2018 The goal of this study is obtained the new generalization Hermite-Hadamard-Fejer inequalities involving the Gauss hypergeometric function. The results presented here would provide some fractional inequalities involving Saigo, Erdelyi-Kober and Riemann-Liouville type fractional operators.
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CERTAIN RESULTS ON EXTENDED GENERALIZED τ-GAUSS HYPERGEOMETRIC FUNCTION
Honam Mathematical Journal, 2016 Summary: The main aim of this paper is to introduce an extension of the generalized \(\tau\)-Gauss hypergeometric function \({}_rF^{\tau}_s(z)\) and investigate various properties of the new function such as integral representations, derivative formulas, Laplace transform, Mellin transform and fractional calculus operators.
Kumar, Dinesh +2 more
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The Saigo operator applied to some special functions
Revista Técnica de la Facultad de Ingeniería, 2010 The Saigo fractional operators are defined using the Gauss hypergeometric functions as kernel. They generalize Riemann-Liouville, Erdélyi-Kober and Weyl operators.
Josefina Matera, Beatriz González
doaj
Certain Results on Extended Beta and Related Functions Using Matrix Arguments
Journal of New TheoryIn this study, we present and explore extended beta matrix functions (EBMFs) and their key properties. By utilizing the beta matrix function (BMF), we introduce novel extensions of the Gauss hypergeometric matrix function (GHMF) and Kummer hypergeometric
Saddam Husain +2 more
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Axioms, 2012 Recently, an extended operator of fractional derivative related to a generalized Beta function was used in order to obtain some generating relations involving the extended hypergeometric functions [1].
H. M. Srivastava +2 more
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