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Biomolecular implementation of nonlinear system theoretic operators

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Figure

Fig. 1: Synthetic biomolecular devices should ideally have anonlinear input-output behaviour
Fig. 2: The input-output system derived in Lemma 5 tocompute the univariate polynomialresult uses intermediate variableswhere f(x) = ∑ni=0 aixi
Fig. 3: A block diagram representation of the feedbacksystem SD that computes the ratio y = u/z where u andz are biomolecular signals.
Fig. 4: Our implementation of a Hill-type nonlinearity by mimicking a stage of the MAPK cascades: (A) The desiredqualitative ultrasensitive input-output response
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