Results 201 to 210 of about 2,222 (257)

Selection of Fitness Criteria for Learning Interpretable PDE Solutions via Symbolic Regression. [PDF]

Syst Control Trans
Cohen BG, Beykal B, Bollas GM.
europepmc   +1 more source

Inductive Differential Constraint Method: Symbolic Regression‐Based Partial Differential Equation Regularization for Fatigue Crack Growth Prediction

International Journal for Numerical Methods in Engineering, Volume 127, Issue 15, 15 August 2026.
ABSTRACT This study introduces the inductive differential constraint method (IDCM), a data‐informed structural regularization framework that enhances neural network predictions under data‐scarce regimes by enforcing invariant differential structures extracted from simulation data.
Rekisei Ozawa, Yoshitaka Wada
wiley   +1 more source

Bifurcation analysis and exploration of new optical soliton solutions in parabolic law medium with weak non-local nonlinearity. [PDF]

Sci Rep
Ali KK, Siddique I, Baloch SA, Saqib I, Bayram M, Abdullaeva B.   +5 more
europepmc   +1 more source

Numerical and Experimental Assessment of Oxygen Distribution in a Perfusion Bioreactor to Mimic the Osteochondral Niche

Biotechnology and Bioengineering, Volume 123, Issue 8, Page 2139-2152, August 2026.
ABSTRACT Oxygen supply is a critical parameter in 3D cell cultivation using bioreactors. Since bioreactor designs often prioritise practical constraints, understanding the oxygen supply dynamics of the media is crucial for achieving either uniform or spatially controlled oxygen delivery.
Franziska Alt, Eric Langner, Hans‐Peter Wiesmann, Thomas Wallmersperger, Benjamin Kruppke   +4 more
wiley   +1 more source

Partial differential equations in data science. [PDF]

Philos Trans A Math Phys Eng Sci
Bertozzi AL, Drenska N, Latz J, Thorpe M.   +3 more
europepmc   +1 more source

A Mathematical Model for Chemo‐Mechanically Induced Collective Cell Motility on Planar Elastic Substrates

International Journal for Numerical Methods in Biomedical Engineering, Volume 42, Issue 8, August 2026.
Mechanically induced cell motility is simulated using strain energy density gradients in a planar elastic substrate generated by cellular traction forces. Green's function and Duhamel's principle are used to solve a diffusion equation describing the distribution of a growth factor and representing chemo‐mechanically induced deterministic collective ...
Riham K. Ahmed, Tamer Abdalrahman, Neil H. Davies, Fred Vermolen, Thomas Franz   +4 more
wiley   +1 more source

Implementing physics-informed neural networks with deep learning for differential equations. [PDF]

Front Artif Intell
Emmert-Streib F, Tripathi S, Farea A, Holzinger A.   +3 more
europepmc   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Random Neural Networks for Rough Volatility. [PDF]

Appl Math Optim
Jacquier A, Žurič Ž.
europepmc   +1 more source

A Lightweight and Erudite Automated BiLSTM‐Based Multi‐Cycle GAN for Retinal Blood Vessel and Optic Disc Segmentation in Fundus Images

Engineering Reports, Volume 8, Issue 8, August 2026.
This graphical abstract presents a lightweight and automated BiLSTM‐based Multi‐Cycle GAN framework for retinal blood vessel and optic disc segmentation in fundus images. Initially, fundus images undergo preprocessing, including green channel extraction, denoising, resizing, and dataset splitting.
Rasmita Kumari Mohanty, Amaravarapu Pramod Kumar, Yuvaraju Macha, Agraharam Siva Kumar, J. Srinivas, G. Shyama Chandra Prasad, Rajesh Kumar Verma, Shashi Kant   +7 more
wiley   +1 more source