Results 81 to 90 of about 2,529,562 (187)

On classical solutions and canonical transformations for Hamilton–Jacobi–Bellman equations

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract In this note, we show how canonical transformations reveal hidden convexity properties for deterministic optimal control problems, which in turn result in global existence of Cloc1,1$C^{1,1}_{loc}$ solutions to first‐order Hamilton–Jacobi–Bellman equations.
Mohit Bansil, Alpár R. Mészáros
wiley   +1 more source

Determining properties of human‐induced pluripotent stem cell‐derived cardiomyocytes using spatially resolved electromechanical metrics

open access: yesThe Journal of Physiology, EarlyView.
Abstract figure legend In this study, we use human‐induced pluripotent stem cell‐derived cardiomyocyte (hiPSC‐CM) experiments and computational modelling to identify the mechanism of action of drug compounds. In the hiPSC‐CM experiments, optical measurements of cell collections are recorded in the baseline case and after drug exposure.
Karoline Horgmo Jæger   +4 more
wiley   +1 more source

Mathematical modelling and analysis of deformable perturbed continuously stirred tank reactors (cstrs)

open access: yes
In this dissertation, deterministic and stochastic mathematical models for a deformable per turbed continuously stirred tank reactor (CSTR) with exothermic and endothermic reactions have been developed and analysed.
Muhirwa Pierre
semanticscholar   +1 more source

Analytical and numerical aspects on motion of polygonal curves with constant area speed [PDF]

open access: yesarXiv, 2008
General area-preserving motion of polygonal curves is formulated as a system of ODEs. Solution polygonal curves belong to a prescribed polygonal class, which is similar to the admissible class used in the crystalline curvature flow. The ODEs are discretized implicitly in time keeping a given constant area speed while solution polygonal curves keep ...
arxiv  

On the deep‐water and shallow‐water limits of the intermediate long wave equation from a statistical viewpoint

open access: yesTransactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We study convergence problems for the intermediate long wave (ILW) equation, with the depth parameter δ>0$\delta > 0$, in the deep‐water limit (δ→∞$\delta \rightarrow \infty$) and the shallow‐water limit (δ→0$\delta \rightarrow 0$) from a statistical point of view.
Guopeng Li, Tadahiro Oh, Guangqu Zheng
wiley   +1 more source

A Note on a Two-Temperature Model in Linear Thermoelasticity [PDF]

open access: yesarXiv, 2015
We discuss the so-called two-temperature model in linear thermoelasticity and provide a Hilbert space framework for proving well-posedness of the equations under consideration. With the abstract perspective of evolutionary equations, the two-temperature model turns out to be a coupled system of the elastic equations and an abstract ode.
arxiv  

Modeling combination chemo‐immunotherapy for heterogeneous tumors

open access: yesQuantitative Biology, Volume 13, Issue 3, September 2025.
Abstract Hypermutable cancers create opportunities for the development of various immunotherapies, such as immune checkpoint blockade (ICB) therapy. However, emergent studies have revealed that many hypermutated tumors have poor prognosis due to heterogeneous tumor antigen landscapes, yet the underlying mechanisms remain poorly understood.
Shaoqing Chen, Zheng Hu, Da Zhou
wiley   +1 more source

Mathematical modelling of essential oil supercritical carbon dioxide extraction from chamomile flowers

open access: yesThe Canadian Journal of Chemical Engineering, Volume 103, Issue 6, Page 2737-2750, June 2025.
Abstract This study investigates the supercritical extraction process of essential oil from chamomile flowers. Essential oils of chamomile are used extensively for medicinal purposes. Many different chamomile products have been developed, the most popular of which is herbal tea.
Oliwer Sliczniuk, Pekka Oinas
wiley   +1 more source

A High‐Order Hybrid‐Spectral Incompressible Navier–Stokes Model for Non‐Linear Water Waves

open access: yesInternational Journal for Numerical Methods in Fluids, Volume 97, Issue 6, Page 1009-1021, June 2025.
We present a high‐order accurate CFD model for simulating nonlinear water waves using the incompressible Navier–Stokes equations. The model employs a combined Chebyshev–Fourier basis for efficient spatial discretization, and a low‐storage fourth‐order Runge–Kutta method for temporal integration. A Poisson pressure problem is solved using a geometric p$$
Anders Melander   +3 more
wiley   +1 more source

CESTsimu: An open‐source GUI for spectral and spatial CEST simulation

open access: yesMagnetic Resonance in Medicine, Volume 93, Issue 6, Page 2595-2609, June 2025.
Abstract Purpose The aim of this study was to create a user‐friendly CEST simulation tool with a GUI for both spectral (1D Z‐spectra) and spatial (2D phantom) CEST experiments, making the CEST simulation easier to perform. Methods CESTsimu was developed using MATLAB App Designer. It consists of three modules: Saturation Settings, Exchange Settings, and
Huabin Zhang   +4 more
wiley   +1 more source

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