Dimensionality-dependent crossover in motility of polyvalent burnt-bridges ratchets

CS Korosec, MJ Zuckermann, NR Forde - Physical Review E, 2018 - APS
The burnt-bridges ratchet (BBR) mechanism is a model for biased molecular motion
whereby the construct destroys track binding sites as it progresses and therefore acts as a …

Analysis of nonprocessive molecular motor transport using renewal reward theory

CE Miles, SD Lawley, JP Keener - SIAM Journal on Applied Mathematics, 2018 - SIAM
We propose and analyze a mathematical model of cargo transport by nonprocessive
molecular motors. In our model, the motors change states by random discrete events …

Effective behavior of cooperative and nonidentical molecular motors

JJ Klobusicky, J Fricks, PR Kramer - Research in the mathematical …, 2020 - Springer
Analytical formulas for effective drift, diffusivity, run times, and run lengths are derived for an
intracellular transport system consisting of a cargo attached to two cooperative but not …

Mathematical modeling of spatiotemporal protein localization patterns in C. crescentus bacteria: A mechanism for asymmetric FtsZ ring positioning

B Shtylla - Journal of theoretical biology, 2017 - Elsevier
We examine the localization patterns of ParA, ParB, PopZ, and MipZ, which are key division
proteins in C. crescentus bacteria. While Par and PopZ proteins have been implicated in the …

Renewal reward perspective on linear switching diffusion systems in models of intracellular transport

MV Ciocanel, J Fricks, PR Kramer… - Bulletin of mathematical …, 2020 - Springer
In many biological systems, the movement of individual agents is characterized having
multiple qualitatively distinct behaviors that arise from a variety of biophysical states. For …

Multi-Scale Modeling and Sensitivity Analysis in Biological Systems

A Dela - 2021 - search.proquest.com
We develop a multi-method sensitivity framework, which incorporates two variance-based
methods, namely Sobol's method, eFAST and Derivative-based global measures to identify …