Results 111 to 120 of about 7,385 (298)
Difference Methods for Stiff Delay Differential Equations
Delay differential equations of the form y'(t) = f(y(t), z(t)), where z(t) = {y(,1)((alpha)(,1)(y(t))),..., y(,n)((alpha)(,n)(y(t)))}('T) and (alpha)(,i)(y(t)) (LESSTHEQ) t arise in many scientific and engineering fields when transport lags and ...
Roth, Mitchell Godfrey
core
Stabilized multilevel Monte Carlo method for stiff stochastic differential equations [PDF]
A multilevel Monte Carlo (MLMC) method for mean square stable stochastic differential equations with multiple scales is proposed. For such problems, that we call stiff, the performance of MLMC methods based on classical explicit methods deteriorates ...
Blumenthal, Adrian, Abdulle, Assyr
core +1 more source
Pre‐analytical handling critically determines liquid biopsy performance. This study defines practical best‐practice conditions for cell‐free DNA (cfDNA) and extracellular vesicle–derived DNA (evDNA), showing how processing time, storage conditions, tube type, and plasma input volume affect DNA integrity and mutation detection.
Jonas Dohmen +11 more
wiley +1 more source
Solving Stiff Differential Equations with the Method of Patches
We introduce a new method for solving very stiff sets of ordinary differential equations. The basic idea is to replace the original nonlinear equations with a set of equally stiff equations that are piecewise linear, and therefore can be solved exactly ...
Michael Marder +2 more
core
Efficient PINNs via multi-head unimodular regularization of the solutions space
Non-linear differential equations are a fundamental tool to describe different phenomena in nature. However, we still lack a well-established method to tackle stiff differential equations.
Pedro Tarancón-Álvarez +3 more
doaj +1 more source
Glioma cells mainly express the endothelin receptor EDNRB, while EDNRA is restricted to a perivascular tumor subpopulation. Endothelin signaling reduces glioma cell proliferation while promoting migration and a proneural‐to‐mesenchymal transition associated with poor prognosis. This pathway activates Ca2+, K+, ERK, and STAT3 signalings and is regulated
Donovan Pineau +36 more
wiley +1 more source
This study introduces a novel one-step hybrid block method for solving both stiff and non-stiff second-order ordinary differential equations (ODEs).
Saidu Daudu Yakubu, Precious Sibanda
doaj +1 more source
(α)-Stable Multi-Derivative GLM
This paper considers multi-derivative general linear methods and thus presents some second and third derivative general linear methods of orders 5, 7 and 10 in its output methods for computing the solution of stiff initial value problems in ordinary ...
R. I. Okuonghae, M. N. O. Ikhile
doaj +1 more source
Beyond its role in immune evasion, this study identified that CD47 drives tumor‐intrinsic signaling in non‐small cell lung cancer (NSCLC). Transcriptomic profiling and functional studies revealed that CD47 regulates cell adhesion, migration, and metastasis through an ERK–EMT signaling axis.
Asa P.Y. Lau +8 more
wiley +1 more source
Fifth-Order Block Hybrid Approach for Solving First-Order Stiff Ordinary Differential Equations
This study introduces a novel single-step hybrid block method with three intra-step points that attains fifth-order accuracy, offering an accurate and computationally economical tool for solving first-order differential equations.
Ibrahim Mohammed Dibal, Yeak Su Hoe
doaj +1 more source

