76 citations · 305 across the 18 of their papers we have counts for
8 papers · 1 filter
Modeling the Effect of Blunt Impact on Mitochondrial Dysfunction in Cartilage
Georgi I. Kapitanov, Bruce P. Ayati, James A. Martin
Mounting evidence for the role of oxidative stress in the degeneration of articular cartilage after an injurious impact requires our modeling & simulation efforts to temporarily sh…
Modeling the Multiple Myeloma Vicious Cycle: Signaling Across the Bone Marrow Microenvironment
Catherine E. Patterson, Bruce P. Ayati, Sarah A. Holstein
Multiple myeloma is a plasma cell cancer that leads to a dysregulated bone remodeling process. We present a partial differential equation model describing the dynamics of bone remo…
A Unified Term for Directed and Undirected Motility in Collective Cell Invasion
Jason M. Graham, Bruce P. Ayati
In this paper we develop mathematical models for collective cell motility. Initially we develop a model using a linear diffusion-advection type equation and fit the parameters to d…
Models of Microbial Dormancy in Biofilms and Planktonic Cultures
Bruce P. Ayati, Isaac Klapper
We present models of dormancy in a planktonic culture and in biofilm, and examine the relative advantage of short dormancy versus long dormancy times in each case. Simulations and…
Senescence Can Explain Microbial Persistence
I. Klapper, P. Gilbert, B. P. Ayati +2
It has been known for many years that small fractions of persister cells resist killing in many bacterial colony-antimicrobial confrontations. These persisters are not believed to…
A Multiscale Model of Biofilm as a Senescence-Structured Fluid
Bruce P. Ayati, Isaac Klapper
We derive a physiologically structured multiscale model for biofilm development. The model has components on two spatial scales, which induce different time scales into the problem…