Results 21 to 30 of about 29,223 (165)
A systematic computational framework is developed for practical identifiability analysis in biological models. The framework establishes a rigorous definition, introduces efficient coordinate‐based identifiability metrics, and proposes novel regularization strategies.
Shun Wang, Wenrui Hao
wiley +1 more source
Hydrodynamic reductions of multi-dimensional dispersionless PDEs: the test for integrability [PDF]
A (d+1)-dimensional dispersionless PDE is said to be integrable if its n-component hydrodynamic reductions are locally parametrized by (d-1)n arbitrary functions of one variable.
Ferapontov, E. V., Khusnutdinova, K. R.
core +4 more sources
This review outlines the implementation of digital twin frameworks for solid oxide electrochemical cells (SOCs), encompassing 3D microstructure reconstruction, quantitative morphological analysis, and microstructure‐resolved multiphysics modeling. Emphasis is placed on recent advances that position digital twins as powerful tools for microstructure ...
Seungsoo Jang+9 more
wiley +1 more source
Robotic Needle Steering for Percutaneous Interventions: Sensing, Modeling, and Control
This review examines recent advances in robotic needle steering for percutaneous interventions, highlighting closed‐loop sensing, physics‐informed tissue‐needle interaction modeling, and real‐time trajectory planning and control. It synthesizes innovations in deep learning, fiber‐optic feedback, and adaptive control strategies, and outlines emerging ...
Fangjiao Zhao+5 more
wiley +1 more source
Young measures, superposition and transport
We discuss a space of Young measures in connection with some variational problems. We use it to present a proof of the Theorem of Tonelli on the existence of minimizing curves.
Bernard, Patrick
core +1 more source
Depression Polygenicity and Disease Activity and Disability Worsening in Multiple Sclerosis
Objective A better understanding of factors associated with multiple sclerosis (MS) disease activity and disability is needed. Given the strong link between comorbid depression and MS disease activity and disability, we aimed to determine whether the depression genetic burden, as modelled using its polygenic score, is associated with MS disease ...
Ali Manouchehrinia+24 more
wiley +1 more source
Abstract We address the problem of regularity of solutions ui(t,x1,…,xN)$u^i(t, x^1, \ldots, x^N)$ to a family of semilinear parabolic systems of N$N$ equations, which describe closed‐loop equilibria of some N$N$‐player differential games with Lagrangian having quadratic behaviour in the velocity variable, running costs fi(x)$f^i(x)$ and final costs gi(
Marco Cirant, Davide Francesco Redaelli
wiley +1 more source
Martingale Problem under Nonlinear Expectations [PDF]
We formulate and solve the martingale problem in a nonlinear expectation space. Unlike the classical work of Stroock and Varadhan (1969) where the linear operator in the associated PDE is naturally defined from the corresponding diffusion process, the ...
Guo, Xin, Pan, Chen, Peng, Shige
core
Randomly sparsified Richardson iteration: A dimension‐independent sparse linear solver
Abstract Recently, a class of algorithms combining classical fixed‐point iterations with repeated random sparsification of approximate solution vectors has been successfully applied to eigenproblems with matrices as large as 10108×10108$10^{108} \times 10^{108}$. So far, a complete mathematical explanation for this success has proven elusive.
Jonathan Weare, Robert J. Webber
wiley +1 more source
Cilostazol in patients with heart failure and preserved ejection fraction—The CLIP‐HFpEF trial
• Cilostazol is an oral PDE‐3 inhibitor that may have advantageous effects in heart failure with preserved ejection fraction (HFpEF). • Cilostazol significantly improved short‐term heart failure‐related health status scores (KCCQ‐12) and NT‐proBNP levels when compared to placebo.
Norman Aiad+9 more
wiley +1 more source