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Deep Learning Improves Robustness of Voxelwise Kinetic Modeling for Hyperpolarized Carbon‐13 MRI
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To evaluate whether deep learning improves the robustness of voxelwise kinetic parameter estimation from hyperpolarized (HP) 13C MRI compared with nonlinear least‐squares (NLLS) fitting. Methods A hybrid neural network (NN) was trained on synthetic pyruvate/lactate time courses generated from an open‐system two‐compartment HP 13C ...
Kofi Deh +5 more
wiley +1 more source
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Functions analytic in a unit ball of bounded L-index in joint variables
Journal of Mathematical Sciences, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Oleh Skaskiv, Andriy Bandura
exaly +3 more sources
Bukovinian Mathematical Journal
We obtained growth estimates for bivariate functions which are analytic in the unit bidisc and have bounded $\mathbf{L}$-index in joint variables. The positive continuous function $\mathbf{L}(z_1,z_2)=(l_1(z_2,z_2),l_2(z_1,z_2))$ satisfies additional behavior condition: for every point $z=(z_1,z_2)$ belonging the unit bidisc $\mathbb{D}^2$ the ...
Andriy Bandura +4 more
openaire +1 more source
We obtained growth estimates for bivariate functions which are analytic in the unit bidisc and have bounded $\mathbf{L}$-index in joint variables. The positive continuous function $\mathbf{L}(z_1,z_2)=(l_1(z_2,z_2),l_2(z_1,z_2))$ satisfies additional behavior condition: for every point $z=(z_1,z_2)$ belonging the unit bidisc $\mathbb{D}^2$ the ...
Andriy Bandura +4 more
openaire +1 more source
Slice Holomorphic Functions in the Unit Ball Having a Bounded L-Index in Direction
Axioms, 2021Oleh Skaskiv +2 more
exaly