Results 41 to 50 of about 29,223 (165)

Comparative Evaluation of Neural Networks and Transfer Learning for Predicting Mechanical Properties of 3D‐Printed Bone Scaffolds

Macromolecular Materials and Engineering, EarlyView.
This study compares Convolutional Neural Networks (CNNs) and Transfer Learning (TL) for predicting key mechanical properties (volume fraction, Poisson's ratio, and elastic modulus) of 3D‐printed bone scaffolds. Using image‐based inputs derived from Body Centred Cubic lattice structures, CNNs outperformed ResNet‐based TL models in accuracy. The proposed
S. Mohsen Zahedi, Aboozar Taherkhani, Reza Baserinia, S. Abolfazl Zahedi, Hafiz Muhammad Asad Ali, Meisam Abdi   +5 more
wiley   +1 more source

Global and microlocal aspects of Dirac operators: Propagators and Hadamard states

Mathematische Nachrichten, EarlyView.
Abstract We propose a geometric approach to construct the Cauchy evolution operator for the Lorentzian Dirac operator on Cauchy‐compact globally hyperbolic 4‐manifolds. We realize the Cauchy evolution operator as the sum of two invariantly defined oscillatory integrals—the positive and negative Dirac propagators—global in space and in time, with ...
Matteo Capoferri, Simone Murro
wiley   +1 more source

Exotic heat PDE's [PDF]

, 2010
Exotic heat equations that allow to prove the Poincar\'e conjecture, some related problems and suitable generalizations too are considered. The methodology used is the PDE's algebraic topology, introduced by A.
Prástaro, Agostino
core   +1 more source

Early‐Onset Movement Disorder Syndrome Caused by Biallelic Variants in PDE1B Encoding Phosphodiesterase 1B

Movement Disorders, EarlyView.
Abstract Background Breakdown of cyclic adenosine monophosphate (cAMP) and cyclic guanosine monophosphate (cGMP) in basal ganglia cells through hydrolysis of diesteric bonds, primarily by PDE10A and PDE1B, is essential for normal human movement. While biallelic loss‐of‐function variants in PDE10A are known to cause hyperkinetic movement disorders, the ...
Tomer Poleg, Noam Hadar, Eyal Kristal, Nicola Y. Roberts, Vadim Dolgin, Ilana Aminov, Amit Safran, Nadav Agam, Matan Jean, Ofek Freund, Eamonn G. Sheridan, James A. Poulter, Michelle L. Thompson, Yusra Algoos, Salma Al‐Qahtani, Lama AlAbdi, Sateesh Maddirevula, Verity Hartill, Henry Houlden, Reza Maroofian, Amit Nahum, Ohad S. Birk   +21 more
wiley   +1 more source

Very Singular Similarity Solutions and Hermitian Spectral Theory for Semilinear Odd-Order PDEs [PDF]

, 2009
Very singular self-similar solutions of semilinear odd-order PDEs are studied on the basis of a Hermitian-type spectral theory for linear rescaled odd-order operators.Comment: 49 pages, 12 ...
B Dy, R. S. Fernandes, V. A. Galaktionov
core  

Initial Value Problem in General Relativity

, 2013
This article, written to appear as a chapter in "The Springer Handbook of Spacetime", is a review of the initial value problem for Einstein's gravitational field theory in general relativity.
Isenberg, James
core   +1 more source

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Quasilinear Degenerate Evolution Systems Modelling Biofilm Growth: Well‐Posedness and Qualitative Properties

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We analyze nonlinear degenerate coupled partial differential equation (PDE)‐PDE and PDE‐ordinary differential equation (ODE) systems that arise, for example, in the modelling of biofilm growth. One of the equations, describing the evolution of a biomass density, exhibits degenerate and singular diffusion.
K. Mitra, S. Sonner
wiley   +1 more source

Mathematical Modeling of Neuroinflammation in Neurodegenerative Diseases

CPT: Pharmacometrics &Systems Pharmacology, EarlyView.
ABSTRACT Age‐related neurodegenerative diseases such as amyotrophic lateral sclerosis (ALS), Alzheimer's disease (AD) and Parkinson's disease (PD) are an increasing public health concern. Whereas the pathology of these diseases is complex, chronic central inflammation, or neuroinflammation, is commonly observed across many neurodegenerative diseases ...
Alex Foster‐Powell, Amin Rostami‐Hodjegan, Guy Meno‐Tetang, Donald E. Mager, Kayode Ogungbenro   +4 more
wiley   +1 more source

A conservative numerical scheme for the multilayer shallow‐water equations on unstructured meshes

Quarterly Journal of the Royal Meteorological Society, EarlyView.
An energy‐conserving scheme is derived for the multilayer shallow water model, making use of the direct connection between energy conservation and the skew symmetry of the Poisson bracket for the model. A new mechanism is proposed to prevent layer interface outcropping.
Qingshan Chen
wiley   +1 more source