This article studies two forms of anomalous diffusions and discusses the joint use of these prescriptions, with a phenomenological method and a theoretical projection method, leading to two apparently different diffusion equations. The authors prove that the two diffusion equations are equivalent and design a time series that corresponds to the anomalous diffusion equation proposed.

Article discusses the authors' investigation the hypothesis that exposure to inhaled diesel exhaust particles alters the gut microbiome and promotes microbial-related inflammation and cardiovascular disease biomarkers. To determine whether probiotics could prevent diet or DEP exposure mediated alterations in the gut microbiome or systemic outcomes, a subset of animals on the HF diet were treated orally with 0.3 g/day (~ 7.5 × 108 CFU/day) of Winclove Ecologic® Barrier probiotics throughout the study.