activity
20242026
collaborators

5 papers

math.DS2026

Instantaneous arithmetic computation via ratio-encoding in chemical reaction networks

David F. Anderson, Badal Joshi

We develop a general framework for instantaneous arithmetic computation using chemical reaction networks. Numerical values are encoded by ratios of species concentrations: an exten…

math.PR2026

Noise Tradeoffs, Stationary Information Flow, and Structural Balance in Unit-Birth Networks

David F. Anderson

In 2019, Paulsson and collaborators conjectured that stochastic biochemical control networks have fundamental limits on how much intrinsic noise can be simultaneously suppressed ac…

math.DS2026

Computing with reaction networks at input-independent speed: exponential and logarithmic functions

David F. Anderson, Badal Joshi, Tung D. Nguyen

The concept of \textit{input-independent computational speed} for chemistry-based analog computers was introduced in Anderson-Joshi (2025), where it was shown that arithmetic opera…

math.PR2025

Stochastic Reaction Networks Within Interacting Compartments with Content-Dependent Fragmentation

David F. Anderson, Aidan S. Howells, Diego Rojas La Luz

Stochastic reaction networks with mass-action kinetics provide a useful framework for understanding processes -- biochemical and otherwise -- in homogeneous environments. However,…

q-bio.MN2024

Parametric Sensitivity Analysis for Models of Reaction Networks within Interacting Compartments

David F. Anderson, Aidan S. Howells

Models of reaction networks within interacting compartments (RNIC) are a generalization of stochastic reaction networks. It is most natural to think of the interacting compartments…