70 citations · 102 across the 9 of their papers we have counts for
13 papers
On the Hölder regularity of a linear stochastic partial-integro-differential equation with memory
Scott A. McKinley, Hung D. Nguyen
In light of recent work on particles fluctuating in linear viscoelastic fluids, we study a linear stochastic partial-integro-differential equation with memory that is driven by a s…
Renewal reward perspective on linear switching diffusion systems
Maria-Veronica Ciocanel, John Fricks, Peter R. Kramer +1
In many biological systems, the movement of individual agents is commonly characterized as having multiple qualitatively distinct behaviors that arise from various biophysical stat…
Topological data analysis approaches to uncovering the timing of ring structure onset in filamentous networks
Maria-Veronica Ciocanel, Riley Juenemann, Adriana T. Dawes +1
Improvements in experimental and computational technologies have led to significant increases in data available for analysis. Topological data analysis (TDA) is an emerging area of…
The Generalized Langevin Equation with a power-law memory in a nonlinear potential well
Nathan Glatt-Holtz, David Herzog, Scott McKinley +1
The generalized Langevin equation (GLE) is a stochastic integro-differential equation that has been used to describe the velocity of microparticles in viscoelastic fluids. In this…
Anomalous Diffusion and the Generalized Langevin Equation
Scott A McKinley, Hung D Nguyen
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 viscoel…
Maximum Likelihood Estimation for Single Particle, Passive Microrheology Data with Drift
John W. R. Mellnik, Martin Lysy, Paula A. Vasquez +5
Volume limitations and low yield thresholds of biological fluids have led to widespread use of passive microparticle rheology. The mean-squared-displacement (MSD) statistics of bea…
Sensing and decision-making in random search
Andrew M. Hein, Scott A. McKinley
While microscopic organisms can use gradient-based search to locate resources, this strategy can be poorly suited to the sensory signals available to macroscopic organisms. We prop…
Statistical Challenges in Microrheology
Gustavo Didier, Scott McKinley, David B. Hill +1
Microrheology is the study of the properties of a complex fluid through the diffusion dynamics of small particles, typically latex beads, moving through that material. Currently, i…
Asymptotic Analysis of Microtubule-Based Transport by Multiple Identical Molecular Motors
Scott A. McKinley, Avanti Athreya, John Fricks +1
We describe a system of stochastic differential equations (SDEs) which model the interaction between processive molecular motors, such as kinesin and dynein, and the biomolecular c…
Geometric Ergodicity of Two--dimensional Hamiltonian systems with a Lennard--Jones--like Repulsive Potential
Ben Cooke, David P. Herzog, Jonathan C. Mattingly +2
In this paper we establish the ergodicity of Langevin dynamics for simple two-particle system involving a Lennard-Jones type potential. To the best of our knowledge, this is the fi…
Anomalous diffusion of distinguished particles in bead-spring networks
Scott A McKinley
We consider the anomalous sub-diffusion of a class of Gaussian processes that can be expressed in terms of sums of Ornstein-Uhlenbeck processes. As a generic class of processes, we…
A Stochastic Compartmental Model for Fast Axonal Transport
Lea Popovic, Scott A. McKinley, Michael C. Reed
In this paper we develop a probabilistic micro-scale compartmental model and use it to study macro-scale properties of axonal transport, the process by which intracellular cargo is…
Geometric ergodicity of a bead-spring pair with stochastic Stokes forcing
Jonathan C. Mattingly, Scott A. McKinley, Natesh S. Pillai
We consider a simple model for the fluctuating hydrodynamics of a flexible polymer in dilute solution, demonstrating geometric ergodicity for a pair of particles that interact with…