76 citations · 305 across the 18 of their papers we have counts for
6 papers · 1 filter
Modeling the Effects of Multiple Myeloma on Kidney Function
Julia C. Walk, Bruce P. Ayati, Sarah A. Holstein
Multiple myeloma (MM), a plasma cell cancer, is associated with many health challenges, including damage to the kidney by tubulointerstitial fibrosis. We develop a mathematical mod…
Linking Cellular and Mechanical Processes in Articular Cartilage Lesion Formation: A Mathematical Model
Georgi I. Kapitanov, Xiayi Wang, Bruce P. Ayati +2
A severe application of stress on articular cartilage can initiate a cascade of biochemical reactions that can lead to the development of osteoarthritis. We constructed a multiscal…
Modeling and Simulation of the Effects of Cyclic Loading on Articular Cartilage Lesion Formation
Xiayi Wang, Bruce P. Ayati, Marc J. Brouillete +3
We present a model of articular cartilage lesion formation to simulate the effects of cyclic loading. This model extends and modifies the reaction-diffusion-delay model by Graham e…
The Role of Osteocytes in Targeted Bone Remodeling: A Mathematical Model
Jason M. Graham, Bruce P. Ayati, Sarah A. Holstein +1
Until recently many studies of bone remodeling at the cellular level have focused on the behavior of mature osteoblasts and osteoclasts, and their respective precursor cells, with…
Reaction-Diffusion-Delay Model for EPO/TNF-? Interaction in Articular Cartilage Lesion Abatement
Jason M. Graham, Bruce P. Ayati, Lei Ding +2
Injuries to articular cartilage result in the development of lesions that form on the surface of the cartilage. Such lesions are associated with articular cartilage degeneration an…
A Spatial Model of Tumor-Host Interaction: Application of Chemotherapy
Peter Hinow, Philip Gerlee, Lisa J. McCawley +9
In this paper we consider chemotherapy in a spatial model of tumor growth. The model, which is of reaction-diffusion type, takes into account the complex interactions between the t…