Magnetic Resonance in Medicine, Volume 95, Issue 6, Page 3270-3283, June 2026.ABSTRACT Purpose To apply the Magnetization Transfer Indirect Spin Labeling (MISL) MRI technique for quantifying tissue‐CSF water exchange in the human brain, and to investigate its utility in (1) evaluating tissue‐CSF water exchange within perivascular spaces (PVS), and (2) characterizing altered water exchange dynamics in pathologic conditions ...
Yihan Wu +8 more
wiley +1 more source
Analytical study of fractional solitons in three dimensional nonlinear evolution equation within fluid environments. [PDF]
Sci RepRamadan ME +3 more
europepmc +1 more source
Building a Digital Twin for Material Testing: Model Reduction and Data Assimilation
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT The rapid advancement of industrial technologies, data collection, and handling methods has paved the way for the widespread adoption of digital twins (DTs) in engineering, enabling seamless integration between physical systems and their virtual counterparts.
Rubén Aylwin +5 more
wiley +1 more source
Soliton dynamics and stability analysis of a double-chain DNA model with various chaos detection tools. [PDF]
Sci RepUllah MS, Akter R.
europepmc +1 more source
Global weighted estimates for the gradient of solutions to nonlinear elliptic equations
, 2013 Sun-Sig Byun, Seungjin Ryu
semanticscholar +1 more source
On the Performance and Convergence of PINNs for Problems in Linear Elasticity
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT Physics‐informed neural networks (PINNs) have emerged as a promising approach for solving partial differential equations by embedding physical laws directly into the loss function. However, their performance characteristics for problems in computational mechanics remain insufficiently understood.
Dipraj Kadlag +3 more
wiley +1 more source
Dynamical solitonic wave formation to optical fiber communications with strong nonlinearity and inhomogeneity. [PDF]
Sci RepFaridi WA, Ciurdariu L, Ibrahim AA.
europepmc +1 more source
On MAP Estimates and Source Conditions for Drift Identification in SDEs
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT We consider the inverse problem of identifying the drift in an stochastic differential equation (SDE) from n$n$ observations of its solution at M+1$M+1$ distinct time points. We derive a corresponding maximum a posteriori (MAP) estimate, we prove differentiability properties as well as a so‐called tangential cone condition for the forward ...
Daniel Tenbrinck +3 more
wiley +1 more source
Calderón problem for nonlocal viscous wave equations: Unique determination of linear and nonlinear perturbations. [PDF]
Rev R Acad Cienc Exactas Fis Nat A MatZimmermann P.
europepmc +1 more source