5 papers
Ill-Conditioning in Dictionary-Based Dynamic-Equation Learning: A Systems Biology Case Study
Yuxiang Feng, Niall M Mangan, Manu Jayadharan
Data-driven discovery of governing equations from time-series data provides a powerful framework for understanding complex biological systems. Library-based approaches that use spa…
Discovering a low-dimensional temperature control architecture across animals
Cody E. FitzGerald, Andrew J. Engedal, Niall M. Mangan
Hibernation is an adaptation to extreme environmental seasonality that has been studied for almost 200 years, but our understanding of the underlying physiological system remains l…
SODAs: Sparse Optimization for the Discovery of Differential and Algebraic Equations
Manu Jayadharan, Christina Catlett, Arthur N. Montanari +1
Differential-algebraic equations (DAEs) integrate ordinary differential equations (ODEs) with algebraic constraints, providing a fundamental framework for developing models of dyna…
Explicit complex time integrators for stiff problems
Jithin D. George, Julian Koellermeier, Samuel Y. Jung +1
Most numerical methods for time integration use real-valued time steps. Complex time steps, however, can provide an additional degree of freedom, as we can select the magnitude of…
Practical indistinguishability in a gene regulatory network inference problem, a case study
Cody E. FitzGerald, Shelley Reich, Victor Agaba +3
Determining mechanistic models of gene regulation, especially underlying phenotypic variation, is a central goal of both mathematical biology and modern evolutionary biology. Howev…