76 citations · 305 across the 18 of their papers we have counts for
3 papers · 1 filter
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…
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…
Computational Methods and Results for Structured Multiscale Models of Tumor Invasion
Bruce P. Ayati, Glenn F. Webb, Alexander R. A. Anderson
We present multiscale models of cancer tumor invasion with components at the molecular, cellular, and tissue levels. We provide biological justifications for the model components,…