76 citations · 305 across the 18 of their papers we have counts for
18 papers
Algebraic approaches for the decomposition of reaction networks and the determination of existence and number of steady states
Joseph M. Sauder, Bruce P. Ayati, Ryan Kinser
Chemical reaction network theory provides powerful tools for rigorously understanding chemical reactions and the dynamical systems and differential equations that represent them. A…
A mathematical model of Bacteroides thetaiotaomicron, Methanobrevibacter smithii, and Eubacterium rectale interactions in the human gut
Melissa A. Adrian, Bruce P. Ayati, Ashutosh K. Mangalam
The human gut microbiota is a complex ecosystem that affects a range of human physiology. In order to explore the dynamics of the human gut microbiota, we used a system of ordinary…
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 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 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…