Results 61 to 70 of about 2,473,621 (173)

Automated adjoints of coupled PDE-ODE systems [PDF]

arXiv, 2017
Mathematical models that couple partial differential equations (PDEs) and spatially distributed ordinary differential equations (ODEs) arise in biology, medicine, chemistry and many other fields. In this paper we discuss an extension to the FEniCS finite element software for expressing and efficiently solving such coupled systems.
arxiv  

Circumventing glioblastoma resistance to temozolomide through optimal drug combinations designed by systems pharmacology and machine learning

British Journal of Pharmacology, EarlyView.
Background and Purpose Glioblastoma (GBM), the most frequent and aggressive brain tumour in adults, is associated with a dismal prognostic despite intensive treatment involving surgery, radiotherapy and temozolomide (TMZ)‐based chemotherapy. The initial or acquired resistance of GBM to TMZ appeals for precision medicine approaches to the design of ...
Sergio Corridore, Maïté Verreault, Hugo Martin, Thibault Delobel, Cécile Carrère, Ahmed Idbaih, Annabelle Ballesta   +6 more
wiley   +1 more source

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

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

Sub-ODEs Simplify Taylor Series Algorithms for Ordinary Differential Equations [PDF]

arXiv
A Taylor method for solving an ordinary differential equation initial-value problem $\dot x = f(t,x)$, $x(t_0) = x_0$, computes the Taylor series (TS) of the solution at the current point, truncated to some order, and then advances to the next point by summing the TS with a suitable step size. A standard ODE method (e.g. Runge-Kutta) treats function $
arxiv  

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

The 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, Verena Charwat, Kevin E. Healy, Samuel Wall, Aslak Tveito   +4 more
wiley   +1 more source

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

arXiv, 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

Transactions 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

Modeling combination chemo‐immunotherapy for heterogeneous tumors

Quantitative 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

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

arXiv, 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  

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

Magnetic 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, Bensheng Qiu, Jiadi Xu, Kannie WY Chan, Jianpan Huang   +4 more
wiley   +1 more source