In mucosal drug delivery, two design goals are desirable: 1) insure drug passage through
the mucosal barrier to the epithelium prior to drug removal from the respective organ via …

In human airways diseases, including cystic fibrosis (CF) and chronic obstructive pulmonary
disease (COPD), host defense is compromised and airways inflammation and infection often …

Generalized Langevin dynamics (GLD) arise in the modeling of a number of systems,
ranging from structured fluids that exhibit a viscoelastic mechanical response, to biological …

The generalized Langevin equation (GLE) is a stochastic integro-differential equation that is
commonly used to describe the velocity of microparticles that move randomly in viscoelastic …

State-of-the-art techniques in passive particle-tracking microscopy provide high-resolution
path trajectories of diverse foreign particles in biological fluids. For particles on the order of 1 …

We define two new classes of stochastic processes, called tempered fractional Lévy process
of the first and second kinds (TFLP and TFLP II, respectively). TFLP and TFLP II make up …

Many biological fluids, like mucus and cytoplasm, have prominent viscoelastic properties. As
a consequence, immersed particles exhibit subdiffusive behavior, which is to say, the …

In quantitative finance, modeling the volatility structure of underlying assets is vital to pricing
options. Rough stochastic volatility models, such as the rough Bergomi model [C. Bayer, PK …

A Gaussian mixed fractional process {Y (t)\} _ t ∈ R={PX (t)\} _ t ∈ RY (t) t∈ R= PX (t) t∈ R
is a multivariate stochastic process obtained by pre-multiplying a vector of independent …

In quantitative finance, modeling the volatility structure of underlying assets is a key
component in the pricing of options. Rough stochastic volatility models, such as the rough …