SDEvelo represents a significant advancement in the analysis of single-cell RNA sequencing (scRNA-seq) data, offering a novel approach to inferring RNA velocity through multivariate stochastic ...

Microbial communities drive essential biological processes across ecosystems, yet predicting their dynamics and functions remains challenging due to context-dependent interactions. We develop a ...

This study examines the stochastic bifurcation phenomenon in a fractional and multistable Rayleigh–Duffing oscillator subjected to recycling noise excitation. First, using the harmonic balance method ...

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Obtain transferrable mathematical skills needed for employment and future research. Advance your understanding of Pure Mathematics on this Master's course. Carried out over one or two years, this ...

Institute of Physics, Carl von Ossietzky Universität Oldenburg, Carl-von-Ossietzky Str. 9-11, Oldenburg 26129, Germany Research Center for Neurosensory Science, Carl von Ossietzky Universität ...

Abstract: Physicists generally express the motion of objects in continuous time using differential equations, whereas the majority of target tracking algorithms use discrete-time models. This paper ...

Fractional differential equations can model various complex problems in physics and engineering, but there is no universal method to solve fractional models precisely. This paper offers a new hope for ...

Abstract: This paper proposes a systematic approach to simulating stochastic electromagnetic transients in emtp, through the reliable numerical solution of stochastic differential equations. Actually, ...