Aggregating operational risk across matrix structured loss data
We study the problem of evaluating the risky position involved in a matrix of random losses with some given probabilistic structure. In the Basel II regulatory setup for operational risk in banking, we analyze how interde- pendencies between individual ...
G. Puccetti, P. Embrechts
core +2 more sources
From mice to humans—divergent strategies for intestinal homeostasis and regeneration
Recent advances such as organoid genome editing, xenotransplantation, imaging, and whole‐genome sequencing have enabled direct studies of human intestinal stem cells (ISCs). These studies reveal species‐specific features, including slower ISC proliferation, distinct injury responses, slower somatic mutation accumulation in humans, and an inverse ...
Keiko Ishikawa +2 more
wiley +1 more source
In this paper, the sine-cosine wavelet method is presented for solving Riccati differential equations. The sine-cosine wavelet operational matrix of fractional integration is derived and utilized to transform the equations to system of algebraic ...
Yanxin Wang, Tianhe Yin, Li Zhu
doaj +1 more source
Modelling stem cell differentiation related processes—A practical overview for biologists
Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar +4 more
wiley +1 more source
Reconstruction of a time-dependent wave source and the initial condition in a hyperbolic equation
This article is concerned with determination of a time-dependent wave source together with the initial condition in a hyperbolic equation. Based on the given data including the flux tensions of a string at end points and a nonlocal integral observation ...
Kamal Rashedi
doaj +1 more source
HAAR WAVELET AND ADOMAIN DECOMPOSITION METHOD FOR THIRD ORDER PARTIAL DIFFERENTIAL EQUATIONS ARISING IN IMPULSIVE MOTION OF A AT PLATE [PDF]
We present here, a Haar wavelet method for a class of third order partial dierentialequations (PDEs) arising in impulsive motion of a flat plate. We also, present Adomaindecomposition method to find the analytic solution of such equations.
I. Singh, S. Kumar
doaj
Numerical solutions of multi-order fractional differential equations by Boubaker polynomials
In this paper, we have applied a numerical method based on Boubaker polynomials to obtain approximate numerical solutions of multi-order fractional differential equations.
Bolandtalat A., Babolian E., Jafari H.
doaj +1 more source
Design and analysis strategies for robust microbiome ageing research
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
wiley +1 more source
Modified hat functions: Application in space-time-fractional differential equations with Caputo derivative [PDF]
The present article introduces an operational approach based on modified hat functions to solve the space-time-fractional differential equations in the Caputo sense.
E. Sedighi, O. Baghani, H. Azin
doaj +1 more source
Shifted Genocchi Polynomials Operational Matrix for Solving Fractional Order System
Genocchi polynomials are known to be defined on the interval [0, 1], but to benefit from the advantages of this polynomials in the field of fractional differential equations (FDEs), it was realized that fractional derivatives of many functions with ...
Abdulnasir Isah, Salisu Ibrahim
doaj +1 more source

