12 citations · 15 across the 2 of their papers we have counts for
5 papers
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…
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…
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…
Towards a New Spatial Representation of Bone Remodeling
Jason M. Graham, Bruce P. Ayati, Prem S. Ramakrishnan +1
Irregular bone remodeling is associated with a number of bone diseases such as osteoporosis and multiple myeloma. Computational and mathematical modeling can aid in therapy and tre…