Results 91 to 100 of about 7,385 (298)
The vanishing gradient problem for stiff neural differential equations
Chaos: An Interdisciplinary Journal of Nonlinear ScienceGradient-based optimization of neural differential equations and other parameterized dynamical systems fundamentally relies on the ability to differentiate numerical solutions with respect to model parameters. In many stiff systems, it has been observed that sensitivities to parameters controlling fast-decaying modes become vanishingly small during ...
Colby Fronk, Linda Petzold
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Electron transfer between complexes III and IV in S. cerevisiae mitochondrial membranes
FEBS Letters, EarlyView.Mitochondrial oxidative phosphorylation in S. cerevisiae mitoplasts is limited by complex IV catalytic capacity, rather than two‐dimensional cytochrome c diffusion. At physiological cytochrome c : supercomplex ratios at salinity equivalent to that of 20 mm monovalent salt, activity is maximized, indicating that this low ionic strength accurately mimics
Ana Paula Lobez +2 more
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Nonstandard Group-Preserving Schemes for Very Stiff Ordinary Differential Equations
, 2005 The group-preserving scheme developed by Liu (2001) for calculating the solutions of k-dimensional differential equations system adopted the Cayley transform to formulate the Lie group from its Lie algebra A ∈ so(k,1).
Chein-Shan Liu
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Some 𝐴-stable methods for stiff ordinary differential equations [PDF]
Mathematics of Computation, 1972 This paper gives some A A -stable methods of order
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FEBS Letters, EarlyView.We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace +6 more
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Towards Numerical Method-Informed Neural Networks for PDE Learning
MathematicsSolving stiff partial differential equations with neural networks remains challenging due to the presence of multiple time scales and numerical instabilities that arise during training. This paper addresses these limitations by embedding the mathematical
Pasquale De Luca, Livia Marcellino
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FEBS Letters, EarlyView.Proteostasis and the gut microbiota play a key role in shaping host physiology. Microbiota‐derived metabolites, vitamins, and RNA modulate host proteostasis. Findings from model systems, including C. elegans, indicate microbes can either stabilize or disrupt host proteostasis.
Abhishek Anil Dubey, Maria Ermolaeva
wiley +1 more source
FEBS Letters, EarlyView.Inositol pyrophosphates are energy‐rich signaling molecules that perform critical functions in cells. Three different families of phosphatases hydrolyze the β phosphate of the inositol pyrophosphate molecules: two have narrow specificities and one is promiscuous.
Ronda J. Rolfes
wiley +1 more source
Finite element multistep multideriavative schemes for parabolic equations
, 1976 The linear, homogeneous, parabolic equation is solved by applying finite element discretizations in space and A0 —stable, linear multistep, multiderivative (L.M.S.D.) methods in time. Such schemes are unconditionally stable. An error analysis establishes
Moore, P
core
Block one-step methods for solving stiff differential equations [PDF]
, 2014 In this research, both stiff ordinary differential equations (ODEs) and parabolic partial differential equation (PDEs) are solved using the A-stable one-step block method with Newton’s iteration with constant step size. Two-point block one-step method
Mohd Zabidi, Muhammad Izzat Zakwan
core