15 citations · 15 across the 2 of their papers we have counts for
5 papers · 1 filter
On the Design of an Analog-Dyadic Converter CRN
Mathieu Hemery
The Chemical Reaction Networks (CRN) interpreted through the differential semantics, even when restricted to elementary reactions with mass action law kinetics, form a Turing-compl…
On a model of online analog computation in the cell with absolute functional robustness: algebraic characterization, function compiler and error control
Mathieu Hemery, François Fages
The Turing completeness of continuous Chemical Reaction Networks (CRNs) states that any computable real function can be computed by a continuous CRN on a finite set of molecular sp…
On Estimating Derivatives of Input Signals in Biochemistry
Mathieu Hemery, François Fages
The online estimation of the derivative of an input signal is widespread in control theory and engineering. In the realm of chemical reaction networks (CRN), this raises however a…
Compiling Elementary Mathematical Functions into Finite Chemical Reaction Networks via a Polynomialization Algorithm for ODEs
Mathieu Hemery, François Fages, Sylvain Soliman
The Turing completeness result for continuous chemical reaction networks (CRN) shows that any computable function over the real numbers can be computed by a CRN over a finite set o…
On the Complexity of Quadratization for Polynomial Differential Equations
Mathieu Hemery, François Fages, Sylvain Soliman
Chemical reaction networks (CRNs) are a standard formalism used in chemistry and biology to reason about the dynamics of molecular interaction networks. In their interpretation by…