TL;DR
It is demonstrated that, with a new encoding, CRNs can compute any set of polynomial functions subject only to the limitation that these functions must map the unit interval to itself.
We develop a general framework for instantaneous arithmetic computation using chemical reaction networks. Numerical values are encoded by ratios of species concentrations: an extended nonnegative value $a\in[0,+\infty]$ is represented by a computational pair $(A_0,A_1)$ through the ratio $a=a_1/a_0$. For this ratio enc...
Chemical reaction systems hold great promise for mimicking the fundamental processes of life and as the basis for new, sophisticated chemical technologies. These systems are conventionally viewed from a molecular perspective, in which their structure and behavior are controlled through molecular design. Achieving the...
Exact statements about how a system far from equilibrium responds to changes in its rate constants are scarce beyond linear response, yet they are central to the control of biochemical networks. A notable exception is mutual linearity: in a jump process, controlling the rates of a single transition makes any two statio...
Growing biochemical systems are intrinsically noisy, with one important source of stochasticity arising from the discrete reaction events of the underlying biochemical network. Because growing systems do not generally admit stationary abundance distributions, it is unclear how to separate this intrinsic chemical noise...
Discovering the structure and kinetics of chemical reaction networks (CRNs) from time-series concentration data is a fundamental challenge in chemical kinetics, with existing approaches relying on prior mechanistic assumptions or suffering from high computational cost and noise sensitivity. In this work, we present int...
Gene regulatory networks govern cellular behaviour through three fundamental interaction types: activation, repression, and modulation. Existing modelling approaches—directed graphs, Boolean networks, differential equations, and motif statistics—each capture important aspects of regulatory dynamics, but none provides a...
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