10 citations · 24 across the 6 of their papers we have counts for
6 papers
A Point Process Model for Generating Biofilms with Realistic Microstructure and Rheology
Jay A. Stotsky, Vanja Dukic, David M. Bortz
Biofilms are communities of bacteria that exhibit a multitude of multiscale biomechanical behaviors. Recent experimental advances have lead to characterizations of these behaviors…
Pattern Formation in the Longevity-Related Expression of Heat Shock Protein-16.2 in Caenorhabditis elegans
J. M. Wentz, A. Mendenhall, D. M. Bortz
Aging in Caenorhabditis elegans is controlled, in part, by the insulin-like signaling and heat shock response pathways. Following thermal stress, expression levels of small heat sh…
The effects of MAPK activity on cell-cell adhesion during wound healing
John T. Nardini, Douglas A. Chapnick, Xuedong Liu +1
The mechanisms underlying collective migration, or the coordinated movement of a population of cells, are not well understood despite its ubiquitous nature. As a means to investiga…
Criteria for linearized stability for a size-structured population model
Inom Mirzaev, David M. Bortz
We consider a size-structured aggregation and growth model of phytoplankton community proposed by Ackleh and Fitzpatrick [2]. The model accounts for basic biological phenomena in p…
Propagation of fronts in the Fisher-Kolmogorov equation with spatially varying diffusion
Christopher W. Curtis, David M. Bortz
The propagation of fronts in the Fisher-Kolmogorov equation with spatially varying diffusion coefficients is studied. Using coordinate changes, WKB approximations, and multiple sca…
Eigenvalues for Two-Lag Linear Delay Differential Equations
David Bortz
We consider the class of two-lag linear delay differential equations and develop a series expansion to solve for the roots of the nonlinear characteristic equation. Supporting nume…