Results 71 to 80 of about 2,297,727 (227)
Synergistic perspectives—How single‐molecule biophysics complement biochemical understanding
FEBS Letters, EarlyView.In this review, we discuss how ensemble biochemistry and single‐molecule approaches are complementary, outline commonly used single‐molecule techniques, and illustrate their relevance through two representative case studies: chromatin organization by SMC complexes and pathway choice during DNA double‐strand break repair.
Sara De Bragança +2 more
wiley +1 more source
FEBS Letters, EarlyView.Encapsulins are protein nanocompartments that play an important role in iron storage. In the Myxococcus xanthus encapsulin system, two cargo proteins called EncB and EncC contribute to iron mineralization. Here, we show that EncB and EncC generate iron‐containing minerals with distinct chemical compositions, suggesting that the composition of stored ...
Harry B. McDowell +2 more
wiley +1 more source
Mathematics, 2019 In this research, a singly diagonally implicit block backward differentiation formulas (SDIBBDF) for solving stiff ordinary differential equations (ODEs) is proposed.
Saufianim Jana Aksah +2 more
doaj +1 more source
Error estimators for stiff differential equations
Journal of Computational and Applied Mathematics, 1984 The quality of error estimators is specially important when solving stiff problems by step methods. The authors consider one-step methods for: \(y'=f(y)\), \(y(a)=y_ 0\), \(a\leq x\leq b\), and show how to improve the estimators applying a technique of linearisation used frequently in stability analyses.
Shampine, Lawrence F., Baca, Lorraine S.
openaire +1 more source
Structural and biochemical analysis of a B12 superbinder
FEBS Letters, EarlyView.BtuG proteins are vitamin B12 scavengers in Bacteroides thetaiotaomicron, a dominant human gut bacterium. We present crystal structures of three BtuG homologs bound to cobalamin and its precursor cobinamide, revealing picomolar binding affinities, among the highest known for any natural protein.
Jose M. Martinez Felices +3 more
wiley +1 more source
Converting DAE models to ODE models: application to reactive Rayleigh distillation [PDF]
, 2013 This paper illustrates the application of an index reduction method to some differential algebraic equations (DAE) modelling the reactive Rayleigh distillation.
Monfreda, Fabien +3 more
core +2 more sources
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
openaire +4 more sources
FEBS Letters, EarlyView.Mycobacterial 3‐methylcrotonyl‐CoA carboxylase uses a mobile biotin‐carrying domain to shuttle a carboxyl group between two catalytic sites, enabling carboxylation of 3‐methylcrotonyl‐CoA during leucine breakdown. Cryo‐electron microscopy captures the carrier at both sites and reveals an inward loop movement that may prevent futile rebinding to the ...
Ajit Yadav +2 more
wiley +1 more source
FEBS Letters, EarlyView.How do genomes gain new functional parts? In eukaryotes, which tend to evolve under weak selection, much of the genome is junk. Palazzo and Qiu borrow the logic of Markov chains to show how non‐functional DNA becomes functional through the appearance of intermediate states, which arise due to epistasis, buffering, and biochemical messiness, allowing ...
Alexander F. Palazzo, Yi Qiu
wiley +1 more source
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
doaj +1 more source