Results 141 to 150 of about 902,114 (365)

Memoir on Integration of Ordinary Differential [1.2ex] Equations by Quadrature [PDF]

open access: yesarXiv, 2011
The Riccati equations reducible to first-order linear equations by an appropriate change the dependent variable are singled out. All these equations are integrable by quadrature. A wide class of linear ordinary differential equations reducible to algebraic equations is found. It depends on two arbitrary functions.
arxiv  

Elucidating prognostic significance of purine metabolism in colorectal cancer through integrating data from transcriptomic, immunohistochemical, and single‐cell RNA sequencing analysis

open access: yesMolecular Oncology, EarlyView.
Low expression of five purine metabolism‐related genes (ADSL, APRT, ADCY3, NME3, NME6) was correlated with poor survival in colorectal cancer. Immunohistochemistry analysis showed that low NME3 (early stage) and low ADSL/NME6 (late stage) levels were associated with high risk.
Sungyeon Kim   +8 more
wiley   +1 more source

Application of Group Analysis to Classification of Systems of Three Second-Order Ordinary Differential Equations [PDF]

open access: yesarXiv, 2013
Here we give a complete group classification of the general case of linear systems of three second-order ordinary differential equations excluding the case of systems which are studied in the literature. This is given as the initial step in the study of nonlinear systems of three second-order ordinary differential equations.
arxiv  

Highly multiplexed digital PCR assay for simultaneous quantification of variant allele frequencies and copy number alterations of KRAS and GNAS in pancreatic cancer precursors

open access: yesMolecular Oncology, EarlyView.
Combining melting curve analysis enhances the multiplexing capability of digital PCR. Here, we developed a 14‐plex assay to simultaneously measure single nucleotide mutations and amplifications of KRAS and GNAS, which are common driver genes in pancreatic cancer precursors. This assay accurately quantified variant allele frequencies in clinical samples
Junko Tanaka   +10 more
wiley   +1 more source

Dynamics of Double Chaos

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2017
stract         This paper includes studying (dynamic of double chaos) in two steps: First Step:- Applying ordinary differential equation have behaved chaotically such as (Duffing's equation) on (double pendulum) equation system to get new system of ...
A. M. Ahmed, S. Noori
doaj  

Step-by-step comparison of ordinary differential equation and agent-based approaches to pharmacokinetic-pharmacodynamic models. [PDF]

open access: yesCPT Pharmacometrics Syst Pharmacol, 2022
Truong VT   +5 more
europepmc   +1 more source

An Adaptive Parallel Integrator of Ordinary Differential Equations System for Space Experiment Simulation [PDF]

open access: yesAerospace Research in Bulgaria, 2008, 22, 59-67, 2010
Different possible sources are discussed for enhancement of the calculation time when solving ordinary differential equations systems to forecast space objects' motion. This paper presents an approach for building an integrator of ordinary differential equations systems for simultaneous solving of motion equations of multiple objects. A parallelization
arxiv  

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