14 citations · 19 across the 4 of their papers we have counts for
5 papers
Transport Facilitated by Rapid Binding to Elastic Tethers
Ben Fogelson, James P. Keener
Diffusion in cell biology is important and complicated. Diffusing particles must contend with a complex environment as they make their way through the cell. We analyze a particular…
Use of mathematical modeling to study pressure regimes in normal and Fontan blood flow circulations
J. P. Keener, M. Chugunova, R. M. Taranets +1
We develop two mathematical lumped parameter models for blood pressure distribution in the Fontan blood flow circulation: an ODE based spatially homogeneous model and a PDE based s…
Analysis of non-processive molecular motor transport using renewal reward theory
Christopher E. Miles, Sean D. Lawley, James P. Keener
We propose and analyze a mathematical model of cargo transport by non-processive molecular motors. In our model, the motors change states by random discrete events (corresponding t…
Jump Locations of Jump-Diffusion Processes with State-Dependent Rates
Christopher E. Miles, James P. Keener
We propose a general framework for studying jump-diffusion systems driven by both Gaussian noise and a jump process with state-dependent intensity. Of particular natural interest a…
Bidirectionality From Cargo Thermal Fluctuations in Motor-Mediated Transport
Christopher E. Miles, James P. Keener
Molecular motor proteins serve as an essential component of intracellular transport by generating forces to haul cargoes along cytoskeletal filaments. Two species of motors that ar…