2 citations · 2 across the 5 of their papers we have counts for
5 papers
Asymptotic consistency of the WSINDy algorithm in the limit of continuum data
Daniel A. Messenger, David M. Bortz
In this work we study the asymptotic consistency of the weak-form sparse identification of nonlinear dynamics algorithm (WSINDy) in the identification of differential equations fro…
Investigation of a Structured Fisher's Equation with Applications in Biochemistry
John T. Nardini, D. M. Bortz
Recent biological research has sought to understand how biochemical signaling pathways, such as the mitogen-activated protein kinase (MAPK) family, influence the migration of a pop…
Surface Forces on a Deforming Ellipsoid in Shear Flow
E. P. Kightley, A. Pearson, J. A. Evans +1
We present a model for computing the surface force density on a fluid ellipsoid in simple shear flow, which we derive by coupling existing models for the shape of a fluid droplet a…
Analytical Equilibrium Solutions of Biochemical Systems with Synthesis and Degradation
Inom Mirzaev, David Matthew Bortz
Analyzing qualitative behaviors of biochemical reactions using its associated network structure has proven useful in diverse branches of biology. As an extension of our previous wo…
Determination of personalized diabetes treatment plans using a two-delay model
S. M. Kissler, C. Cichowitz, S. Sankaranarayanan +1
Diabetes cases worldwide have risen steadily over the past decades, lending urgency to the search for more efficient, effective, and personalized ways to treat the disease. Current…