A Study and Analysis of the Relationship between Visual-Auditory Logos and Consumer Behavior.

Given enterprises' participation in market competition and the development of sensory marketing, in addition to the traditional visual identity, some enterprises gradually begin to pay attention to auditory and then introduce sound design when designing logos. Audio-visual stimulation and media innovation are committed to creating positive attitudes among consumers. This study constructs a model of visual and auditory interactive relationships with consumer behavior using the SOR model.

Interpretable and tractable models of transcriptional noise for the rational design of single-molecule quantification experiments.

The question of how cell-to-cell differences in transcription rate affect RNA count distributions is fundamental for understanding biological processes underlying transcription. Answering this question requires quantitative models that are both interpretable (describing concrete biophysical phenomena) and tractable (amenable to mathematical analysis). This enables the identification of experiments which best discriminate between competing hypotheses.

RNA velocity unraveled.

We perform a thorough analysis of RNA velocity methods, with a view towards understanding the suitability of the various assumptions underlying popular implementations. In addition to providing a self-contained exposition of the underlying mathematics, we undertake simulations and perform controlled experiments on biological datasets to assess workflow sensitivity to parameter choices and underlying biology. Finally, we argue for a more rigorous approach to RNA velocity, and present a framework for Markovian analysis that points to directions for improvement and mitigation of current problems.