Results 1 to 10 of about 1,211,286 (294)
A Universal Ordinary Differential Equation [PDF]
Logical Methods in Computer Science, 2020 An astonishing fact was established by Lee A. Rubel (1981): there exists a fixed non-trivial fourth-order polynomial differential algebraic equation (DAE) such that for any positive continuous function $\varphi$ on the reals, and for any positive ...
Olivier Bournez, Amaury Pouly
doaj +13 more sources
AMICI: high-performance sensitivity analysis for large ordinary differential equation models. [PDF]
Bioinformatics, 2021 Summary Ordinary differential equation models facilitate the understanding of cellular signal transduction and other biological processes. However, for large and comprehensive models, the computational cost of simulating or calibrating can be limiting ...
Fröhlich F +7 more
europepmc +3 more sources
Lie symmetry analysis of fractional ordinary differential equation with neutral delay
AIMS Mathematics, 2021 In this paper, Lie symmetry analysis method is employed to solve the fractional ordinary differential equation with neutral delay. The Lie symmetries for the fractional ordinary differential equation with neutral delay are obtained, and the group ...
Yuqiang Feng, Jicheng Yu
doaj +2 more sources
In silico ordinary differential equation/partial differential equation hemodialysis model estimates methadone removal during dialysis [PDF]
Journal of Pain Research, 2015 Oscar A Linares,1 William E Schiesser,2 Jeffrey Fudin,3–6 Thien C Pham,6 Jeffrey J Bettinger,6 Roy O Mathew,6 Annemarie L Daly7 1Translational Genomic Medicine Lab, Plymouth Pharmacokinetic Modeling Study Group, Plymouth, MI, 2Department of ...
Linares OA +6 more
doaj +2 more sources
RNA velocity prediction via neural ordinary differential equation [PDF]
iScienceSummary: RNA velocity is a crucial tool for unraveling the trajectory of cellular responses. Several approaches, including ordinary differential equations and machine learning models, have been proposed to interpret velocity. However, the practicality of
Chenxi Xie +7 more
doaj +2 more sources
On classical symmetries of ordinary differential equations related to stationary integrable partial differential equations [PDF]
Opuscula Mathematica, 2021 We study the relationship between the solutions of stationary integrable partial and ordinary differential equations and coefficients of the second-order ordinary differential equations invariant with respect to one-parameter Lie group.
Ivan Tsyfra
doaj +1 more source
Kernel Ordinary Differential Equations [PDF]
Journal of the American Statistical Association, 2021 Ordinary differential equation (ODE) is widely used in modeling biological and physical processes in science. In this article, we propose a new reproducing kernel-based approach for estimation and inference of ODE given noisy observations. We do not assume the functional forms in ODE to be known, or restrict them to be linear or additive, and we allow ...
Xiaowu Dai (10073580) +1 more
openaire +6 more sources
Ordinary Differential Equation-Based CNN for Channel Extrapolation Over RIS-Assisted Communication [PDF]
IEEE Communications Letters, 2020 The reconfigurable intelligent surface (RIS) is considered as a promising new technology for reconfiguring wireless communication environments. To acquire the channel information accurately and efficiently, we only turn on a fraction of all the RIS ...
Mengran Xu +4 more
semanticscholar +1 more source
Neural ordinary differential equation and holographic quantum chromodynamics [PDF]
Machine Learning: Science and Technology, 2020 The neural ordinary differential equation (neural ODE) is a novel machine learning architecture whose weights are smooth functions of the continuous depth. We apply the neural ODE to holographic QCD by regarding the weight functions as a bulk metric, and
K. Hashimoto, Hong-ye Hu, Yi-Zhuang You
semanticscholar +1 more source
Ordinary Differential Equations [PDF]
, 2021 AbstractIn this chapter, we discuss a first application of the time derivative operator constructed in the previous chapter. More precisely, we analyse well-posedness of ordinary differential equations and will at the same time provide a Hilbert space proof of the classical Picard–Lindelöf theorem (There are different notions for this theorem.
Christian Seifert +2 more
openaire +1 more source