Results 81 to 90 of about 230,291 (288)

USE OF ORDINARY DIFFERENTIAL EQUATIONS APPLIED TO MECHANICAL AND ELECTRICAL PROBLEMS WITH FIRST ORDER LINEAR SYSTEMS

Russian Law Journal, 2023
In recent years there has been an increased interest in the study of mathematics applied to engineering to study aspects of its teaching.  In the present research work, a compilation of analytical concepts of differential equations applied to the solution of problems of electrical circuits, a branch of electrical engineering and mechanical engineering ...
openaire   +1 more source

Cell surface interactome analysis identifies TSPAN4 as a negative regulator of PD‐L1 in melanoma

Molecular Oncology, EarlyView.
Using cell surface proximity biotinylation, we identified tetraspanin TSPAN4 within the PD‐L1 interactome of melanoma cells. TSPAN4 negatively regulates PD‐L1 expression and lateral mobility by limiting its interaction with CMTM6 and promoting PD‐L1 degradation.
Guus A. Franken, Andrea Abel Gutierrez, Imke van Rossum, Cornelia G. Spruijt, Michiel Vermeulen, Guido van Mierlo, Blanca Scheijen, Annemiek B. van Spriel   +7 more
wiley   +1 more source

Parameter Estimation and Variable Selection for Big Systems of Linear Ordinary Differential Equations: A Matrix-Based Approach

Journal of the American Statistical Association, 2018
Ordinary differential equations (ODEs) are widely used to model the dynamic behavior of a complex system. Parameter estimation and variable selection for a "Big System" with linear ODEs are very challenging due to the need of nonlinear optimization in an ultra-high dimensional parameter space.
Leqin Wu, Xing Qiu, Ya-xiang Yuan, Hulin Wu   +3 more
openaire   +3 more sources

Analytic and Asymptotic Methods for Nonlinear Singularity Analysis: a Review and Extensions of Tests for the Painlev\'e Property

, 1997
The integrability (solvability via an associated single-valued linear problem) of a differential equation is closely related to the singularity structure of its solutions.
A. C. Newell, A. Fordy, A. Ramani, A. Ramani, B. Gambier, C. M. Cosgrove, C.M. Bender, C.S. Gardner, D.K. Ludlow, E.A. Coddington, E.L. Ince, F.J. Bureau, F.W.J. Olver, G. Halphen, H. Yoshida, J. Chazy, J. Chazy, J. Weiss, J.B. McLeod, L. Hlavatý, L.J. Mason, M.D. Kruskal, M.D. Kruskal, M.D. Kruskal, M.D. Kruskal, M.J. Ablowitz, M.J. Ablowitz, M.J. Ablowitz, M.J. Ablowitz, M.J. Ablowitz, N. Joshi, N. Joshi, N. Joshi, N. Joshi, N. Joshi, N. Joshi, P. Boutroux, P. Painlevé, P. Painlevé, P. Painlevé, P. Painlevé, P.A. Clarkson, R. Conte, R. Fuchs, R. Grimshaw, S. Kichenassamy, S. Kichenassamy, S. Kowalevski, S. Kowalevski, S. Ziglin, S. Ziglin, T. Bountis, V.I. Arnold, Z. Nehari   +53 more
core   +1 more source

LDAcoop: Integrating non‐linear population dynamics into the analysis of clonogenic growth in vitro

Molecular Oncology, EarlyView.
Limiting dilution assays (LDAs) quantify clonogenic growth by seeding serial dilutions of cells and scoring wells for colony formation. The fraction of negative wells is plotted against cells seeded and analyzed using the non‐linear modeling of LDAcoop.
Nikko Brix, Daniel Samaga, Katharina Gehr, Benedek Dankó, Mohamed Schumann, Guido Drexler, Ahmed Alnatsha, Georg Beyer, Ujjwal Mahajan, Martin Selmansberger, Julia Mayerle, Claus Belka, Horst Zitzelsberger, Kirsten Lauber   +13 more
wiley   +1 more source

Locally Exact Integrators for the Duffing Equation

Mathematics, 2020
A numerical scheme is said to be locally exact if after linearization (around any point) it becomes exact. In this paper, we begin with a short review on exact and locally exact integrators for ordinary differential equations.
Jan L. Cieśliński, Artur Kobus
doaj   +1 more source

Exponential dichotomy, integral separation and diagonalizability of linear systems of ordinary differential equations

Journal of Differential Equations, 1982
AbstractThis paper is concerned with linear systems of ordinary differential equations. A criterion for integral separation in terms of exponential dichotomy is given. As corollaries we obtain the roughness theorem for integral separation and the new result that an upper triangular system on a half-line is integrally separated if and only if the system
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An Implicit Two-Point Numerical Integration Formula for Linear and Nonlinear Stiff Systems of Ordinary Differential Equations [PDF]

Mathematics of Computation, 1978
In [1], the author proposed a semi-implicit one-step integration formula which effectively copes with linear systems of ordinary differential equations with widely varying eigenvalues. The integration algorithm is based on a local representation of the theoretical solution to the initial value problem by a linear combination of exponential functions ...
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Infrared laser sampling of low volumes combined with shotgun lipidomics reveals lipid markers in palatine tonsil carcinoma

Molecular Oncology, EarlyView.
Nanosecond infrared laser (NIRL) low‐volume sampling combined with shotgun lipidomics uncovers distinct lipidome alterations in oropharyngeal squamous cell carcinoma (OPSCC) of the palatine tonsil. Several lipid species consistently differentiate tumor from healthy tissue, highlighting their potential as diagnostic markers.
Leonard Kerkhoff, Manuela Moritz, Dennis Eggert, Anna Worthmann, Joerg Heeren, Henrike Zech, Till S. Clauditz, Waldemar Wilczak, Hartmut Schlüter, Christian S. Betz, Arne Böttcher, Jan Hahn   +11 more
wiley   +1 more source

Geometric Linearization of Ordinary Differential Equations

Symmetry, Integrability and Geometry: Methods and Applications, 2007
The linearizability of differential equations was first considered by Lie for scalar second order semi-linear ordinary differential equations. Since then there has been considerable work done on the algebraic classification of linearizable equations and ...
Asghar Qadir
doaj