Results 61 to 70 of about 545,451 (275)

Decay analysis of bivariate Chebyshev coefficients for functions with limited regularity

Results in Applied Mathematics
The Chebyshev polynomial approximation is a useful tool to approximate smooth and non-smooth functions. In fact, for a sufficiently smooth function, the partial sum of Chebyshev series expansion provides optimal polynomial approximation.
Akansha
doaj   +1 more source

Structural biology of ferritin nanocages

FEBS Letters, EarlyView.
Ferritin is a conserved iron‐storage protein that sequesters iron as a ferric mineral core within a nanocage, protecting cells from oxidative damage and maintaining iron homeostasis. This review discusses ferritin biology, structure, and function, and highlights recent cryo‐EM studies revealing mechanisms of ferritinophagy, cellular iron uptake, and ...
Eloise Mastrangelo, Flavio Di Pisa
wiley   +1 more source

Numerical Solutions of ODEs using Volterra Series [PDF]

, 2006
We propose a numerical approach for solving systems of nonautonomous ordinary di®erential equations under suitable assumptions. This approach is based on expansion of the solutions by Volterra series and allows to estimate the accuracy of the ...
Kirov, Nikolay, Krastanov, Michail
core  

Diophantine approximation and beta-expansions over the field of formal Laurent series

Journal of Approximation Theory, 2013
\textit{Y. Bugeaud} [Math. Ann. 341, No. 3, 677--684 (2008; Zbl 1163.11056)] considered sets of numbers with prescribed irrationality measure in the middle-third Cantor set. Particularly, he proved the following result. Let \(K\) be the set of \(\psi\)-approximable real numbers, \[ K(\psi):=\biggl\{x\in\mathbb R:\biggl|x-\frac{p}{q}\biggr|1\).
openaire   +1 more source

Computation of the Whittaker functions W k,μ(z) with series expansions and Padé Approximants [PDF]

Computers in Physics, 1995
Different mathematical representations of the Whittaker functions Wk,μ(z) are investigated, allowing to compute them numerically with high precision for various values of the argument z and of the parameters k and μ. Application of Padé Approximants with Wynn’s algorithm on an asymptotic series expansion appears to be a powerful numerical method ...
C. de Izarra, O. Vallée, J. Picart, N. Tran Minh   +3 more
openaire   +1 more source

Modeling hepatic fibrosis in TP53 knockout iPSC‐derived human liver organoids

Molecular Oncology, EarlyView.
This study developed iPSC‐derived human liver organoids with TP53 gene knockout to model human liver fibrosis. These organoids showed elevated myofibroblast activation, early disease markers, and advanced fibrotic hallmarks. The use of profibrotic differentiation medium further amplified the fibrotic signature seen in the organoids.
Mustafa Karabicici, Soheil Akbari, Ceyda Caliskan, Canan Celiker, Ozden Oz, Leman Binokay, Gökhan Karakulah, Serif Senturk, Esra Erdal   +8 more
wiley   +1 more source

Aggressive prostate cancer is associated with pericyte dysfunction

Molecular Oncology, EarlyView.
Tumor‐produced TGF‐β drives pericyte dysfunction in prostate cancer. This dysfunction is characterized by downregulation of some canonical pericyte markers (i.e., DES, CSPG4, and ACTA2) while maintaining the expression of others (i.e., PDGFRB, NOTCH3, and RGS5).
Anabel Martinez‐Romero, Ane Martinez‐Larrinaga, Joaquim Grego‐Bessa, Saioa Garcia‐Longarte, Hielke van Splunder, Ianire Astobiza, Amaia Ercilla, Laura Bozal‐Basterra, Isabel Mendizabal, Pilar Villacampa, Arkaitz Carracedo, Mariona Graupera   +11 more
wiley   +1 more source

Multi-parameter approximation of stress field in a cracked specimen using purpose-built Java applications [PDF]

Fracture and Structural Integrity, 2015
A quality of multi-parameter approximation of the stress and displacement fields around a crack tip in a non-brittle material test specimen is studied in the paper. The stress field approximation using Williams power series is intended to be utilized for
V. Veselý, J. Sobek, D. Tesa?, P. Frantík, T. Pail, S. Seitl   +5 more
doaj   +2 more sources

Coordinate-free Solutions for Cosmological Superspace [PDF]

, 1997
Hamilton-Jacobi theory for general relativity provides an elegant covariant formulation of the gravitational field. A general `coordinate-free' method of integrating the functional Hamilton-Jacobi equation for gravity and matter is described. This series
A. O. Barvinsky, A. Peres, C. Misner, C. W. Misner, D. Louis-Martinez, D. S. Salopek, D. S. Salopek, D. S. Salopek, D. S. Salopek, D. S. Salopek, D. S. Salopek, D. S. Salopek, D. S. Salopek, D. S. Salopek, D. S. Salopek, D. S. Salopek, D. S. Salopek, E. J. Copeland, E. M. Lifshitz, J. Louko, J. Parry, J. Soda, K. M. Croudace, K. Tomita, K. V. Kuchař, L. Landau, P. A. M. Dirac, P. D’Eath, P. W. Higgs, S. Tomonaga, S. W. Hawking, W. G. Unruh, Y. B. Zel’dovich   +32 more
core   +2 more sources

Liquid biopsy epigenetics: establishing a molecular profile based on cell‐free DNA

Molecular Oncology, EarlyView.
Cell‐free DNA (cfDNA) fragments in plasma from cancer patients carry epigenetic signatures reflecting their cells of origin. These epigenetic features include DNA methylation, nucleosome modifications, and variations in fragmentation. This review describes the biological properties of each feature and explores optimal strategies for harnessing cfDNA ...
Christoffer Trier Maansson, Anders Lade Nielsen, Boe Sandahl Sorensen   +2 more
wiley   +1 more source