A priori estimation of memory effects in reduced-order models of nonlinear systems using the Mori-Zwanzig formalism. [PDF]
Proc Math Phys Eng Sci, 2017 Gouasmi A, Parish EJ, Duraisamy K.
europepmc +1 more source
Biotechnology and Bioengineering, Volume 123, Issue 2, Page 420-435, February 2026.ABSTRACT Opportunistic colonization and recurring infection by Pseudomonas aeruginosa are substantial risks to lung functionality for people with underlying respiratory diseases such as cystic fibrosis and chronic obstructive pulmonary disease. The complex metabolic and phenotypic adaptations P.
Morgan S. Kim +5 more
wiley +1 more source
The mathematics of asymptotic stability in the Kuramoto model. [PDF]
Proc Math Phys Eng Sci, 2018 Dietert H, Fernandez B.
europepmc +1 more source
Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 207-292, February 2026.Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley +1 more source
Stationary Black Holes: Uniqueness and Beyond. [PDF]
Living Rev Relativ, 2012 Chruściel PT, Costa JL, Heusler M.
europepmc +1 more source
Dimer models and conformal structures
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source
Twistor theory at fifty: from contour integrals to twistor strings. [PDF]
Proc Math Phys Eng Sci, 2017 Atiyah M, Dunajski M, Mason LJ.
europepmc +1 more source
Model‐Free Data‐Driven Computational Analysis for Soil Consolidation Problems
International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 2, Page 1166-1175, 10 February 2026.ABSTRACT Soils are inherently uncertain natural materials. In geotechnical engineering, soil properties are fundamentally characterised by testing small samples. The results will then be utilised to determine appropriate geomaterial constitutive models and associated parameters for implementation in conventional computational procedures such as finite ...
Wuzhou Zhai +3 more
wiley +1 more source
Deconvolving the input to random abstract parabolic systems: a population model-based approach to estimating blood/breath alcohol concentration from transdermal alcohol biosensor data. [PDF]
Inverse Probl, 2018 Sirlanci M +5 more
europepmc +1 more source
Tutorial on Causal Mediation Analysis for Pharmacometricians
CPT: Pharmacometrics &Systems Pharmacology, Volume 15, Issue 2, February 2026.ABSTRACT Mediation analyses can support biomarker development by quantifying the part of the total treatment effect on clinical outcome that is mediated by the biomarker. Given that pharmacometricians are often involved in the analysis of biomarker data with pharmacokinetic–pharmacodynamic (PK–PD) models, mediation analysis can be a valuable addition ...
Sebastiaan Camiel Goulooze +2 more
wiley +1 more source