Exploring highly dispersive optical solitons and modulation instability in nonlinear Schrödinger equations with nonlocal self phase modulation and polarization dispersion. [PDF]
Sci RepHasan WM +4 more
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Small Structures, Volume 7, Issue 3, March 2026.This graphical abstract summarizes the current advances in dietary exosome‐like nanoparticles (ELNs), highlighting their biogenesis pathways (MVB‐dependent, vacuole‐mediated, and EXPO routes), molecular composition (nucleic acids, lipids, proteins, and bioactive compounds), and major preparation strategies including differential ultracentrifugation ...
Nidesha Randeni +3 more
wiley +1 more source
Analytical construction and visualization of nonlinear waves in the (2+1) dimensional Kadomtsev-Petviashvili-Sawada-Kotera-Ramani equation with stability analysis. [PDF]
Sci RepAhmed M, Ahmed HM, Badra N, Samir I.
europepmc +1 more source
A Generalization Error Bound of Physics‐Informed Neural Networks for Ecological Diffusion Models
Stat, Volume 15, Issue 1, March 2026.ABSTRACT Ecological diffusion equations (EDEs) are partial differential equations (PDEs) that model spatiotemporal dynamics, often applied to wildlife diseases. Derived from ecological mechanisms, EDEs are useful for forecasting, inference, and decision‐making, such as guiding surveillance strategies for wildlife diseases.
Juan Francisco Mandujano Reyes +4 more
wiley +1 more source
Lie symmetry approach to the dynamical behavior and conservation laws of actin filament electrical models. [PDF]
PLoS OneBeenish, Samreen M, Alshammari FS.
europepmc +1 more source
Interpretable Machine Learning: A Comprehensive Review of Foundations, Methods, and the Path Forward
WIREs Data Mining and Knowledge Discovery, Volume 16, Issue 1, March 2026.This systematic review of 352 studies establishes a comprehensive taxonomy for Interpretable Machine Learning, transitioning from foundational intrinsic models to advanced deep learning explanations. It reveals a critical paradigm shift toward “mechanistic interpretability” and actionable recourse, emphasizing that future AI systems must be rigorously ...
Shimon Fridkin, Michael Bendersky
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Inference of weak-form partial differential equations describing migration and proliferation mechanisms in wound healing experiments on cancer cells. [PDF]
PLoS Comput BiolSrivastava S +9 more
europepmc +1 more source
Earth and Space Science, Volume 13, Issue 3, March 2026.Abstract Three‐dimensional gravity forward modeling with conventional numerical methods requires solving large‐scale linear system using direct matrix inversion or iterative solvers, incurring substantial computational costs that critically limit large‐scale three‐dimensional inversions.
Xiaozhong Tong +3 more
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Entropy in Exact 2D Navier-Stokes and 3D Burgers Gas Flows. [PDF]
Entropy (Basel)Broadbridge P.
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A Simplified Ordinary Differential Equation for the Surface Temperature of Airless Bodies
Earth and Space Science, Volume 13, Issue 3, March 2026.Abstract In this work, we develop simplified surface temperature models for spherical bodies with insignificant atmospheres, able to produce a latitude/longitude temperature map that includes seasonality effects. We start from the commonly employed depth‐dependent model by Spencer et al. (1989, https://doi.org/10.1016/0019‐1035(89)90182‐6) based on the
Stefano Boccelli +2 more
wiley +1 more source