Results 51 to 60 of about 213 (123)

Mathematical Model of Within‐Host HIV Infection With Variable CD4 Production, and Saturated Incidence

open access: yesEngineering Reports, Volume 8, Issue 8, August 2026.
A within‐host HIV model incorporating variable CD4+ T‐cell production, saturated incidence, and latent reservoirs is developed and analyzed. The study shows that viral clearance, infection rate, and burst size strongly govern disease persistence, while latent infection sustains long‐term viral rebound despite suppression of active replication ...
Ahmad Umar Abubakar   +2 more
wiley   +1 more source

Robust Tests of Forecast Accuracy for Factor‐Augmented Regressions With an Application to the Novel EA‐MD‐QD Dataset

open access: yesJournal of Applied Econometrics, Volume 41, Issue 5, Page 549-566, August 2026.
ABSTRACT We present four novel tests of equal predictive accuracy and encompassing á Pitarakis (2023, 2025) for factor‐augmented regressions. Factors are estimated using cross‐section averages (CAs) of grouped series and our theoretical findings are empirically relevant: asymptotic normality, robustness to an overspecification of the number of factors,
Alessandro Morico, Ovidijus Stauskas
wiley   +1 more source

Exact Solutions of Linear Multiple Delay Partial Differential Equations

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14282-14291, August 2026.
ABSTRACT This paper develops an analytical framework for linear differential equations with multiple discrete delays. A new function, referred to as the multiple‐delay exponential function, is introduced, and some of its fundamental properties are established.
Stuart‐James M. Burney
wiley   +1 more source

Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 13946-13970, August 2026.
ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal   +2 more
wiley   +1 more source

Shape Derivatives of the Eigenvalues of the de Rham Complex for Lipschitz Deformations and Variable Coefficients: Part II

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14244-14265, August 2026.
ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti   +2 more
wiley   +1 more source

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14122-14148, August 2026.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen   +3 more
wiley   +1 more source

A physics primer on photon‐counting detectors in CT: Physics, signal formation, and performance

open access: yesMedical Physics, Volume 53, Issue 8, August 2026.
Abstract Photon‐counting detector CT (PCD‐CT) is moving from laboratory development to clinical deployment. However, its threshold‐bin data arise from a tightly coupled detector–readout chain that can be difficult to understand as a whole. These data are not a direct readout of photon energy, but the outcome of a sequence of physical and electronic ...
Guang‐Hong Chen, Ruiran Lai, Ke Li
wiley   +1 more source

Finite‐Block Polynomial and Volterra Structure in Reservoir Computing

open access: yesNumerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT Reservoir computing is analyzed through the algebraic structure generated by finite‐width reservoirs on fixed input blocks. For linear and quadratic logistic activations, the induced input‐to‐state map admits an exact finite Volterra representation, yielding an explicit characterization of the associated hypothesis class.
Alfio Borzì
wiley   +1 more source

Monotone Clusters With Ordinal Interpretation

open access: yesStatistical Analysis and Data Mining: An ASA Data Science Journal, Volume 19, Issue 4, August 2026.
ABSTRACT There has been a growing demand in various sectors, such as healthcare, finance, and social sciences, for clustering methods that not only find quality clusters in data but also provide inherent order among the clusters for better decision‐making and risk assessment. Traditional clustering methods, though effective at grouping data, often fall
Hee Cheol Chung   +3 more
wiley   +1 more source

Testing for Conformity With Parametric Distributions Using Level Sets: From Univariate to Bivariate Applications

open access: yesStatistical Analysis and Data Mining: An ASA Data Science Journal, Volume 19, Issue 4, August 2026.
ABSTRACT Conformity of observed data with a postulated probability distribution is a fundamental problem of statistical modeling. Current tools for checking distributional conformity are often limited to univariate settings, with extensions to multivariate distributions facing challenges in interpretability and power.
Rasha Alsaadawi, Nitai D. Mukhopadhyay
wiley   +1 more source

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