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Negative differential response in chemical reactions
Statistical Mechanics · Submitted 28 Dec 2018
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We argue that NDR implies the existence of optimal affinities that maximize the robustness against environmental and intrinsic noise at intermediate values of dissipation.
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The abstract, sentence by sentence
Reaction currents in chemical networks usually increase when increasing their driving affinities. But far from equilibrium the opposite can also happen. We find that such negative differential response (NDR) occurs in reaction schemes of major biological relevance, namely, substrate inhibition and autocatalysis. We do so by deriving the full counting statistics of two minimal representative models using large deviation methods. We argue that NDR implies the existence of optimal affinities that maximize the robustness against environmental and intrinsic noise at intermediate values of dissipation. An analogous behavior is found in dissipative self-assembly, for which we identify the optimal working conditions set by NDR.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Reaction currents in chemical networks usually increase when increasing their driving affinities. | background 1.00 | 0.05 | 0.03 | asserted 0.98 |
| s1 | But far from equilibrium the opposite can also happen. | background 0.80 | 0.06 | 0.09 | hedged possibility 0.85 |
| s2 | We find that such negative differential response (NDR) occurs in reaction schemes of major biological relevance, namely, substrate inhibition and autocatalysis. | result 0.95 | 0.91 | 0.31 | asserted 1.00 |
| s3 | We do so by deriving the full counting statistics of two minimal representative models using large deviation methods. | method 0.99 | 0.96 | 0.04 | asserted 0.96 |
| s4 | We argue that NDR implies the existence of optimal affinities that maximize the robustness against environmental and intrinsic noise at intermediate values of dissipation. | interpretation 1.00 | 0.77 | 0.57 | asserted 0.60 |
| s5 | An analogous behavior is found in dissipative self-assembly, for which we identify the optimal working conditions set by NDR. | result 0.91 | 0.88 | 0.14 | asserted 1.00 |
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The paper
Original abstract
Reaction currents in chemical networks usually increase when increasing their driving affinities. But far from equilibrium the opposite can also happen. We find that such negative differential response (NDR) occurs in reaction schemes of major biological relevance, namely, substrate inhibition and autocatalysis. We do so by deriving the full counting statistics of two minimal representative models using large deviation methods. We argue that NDR implies the existence of optimal affinities that maximize the robustness against environmental and intrinsic noise at intermediate values of dissipation. An analogous behavior is found in dissipative self-assembly, for which we identify the optimal working conditions set by NDR.
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How the literature uses it
4 arXiv papers cite this in 6 sentences
Papers citing it · 4 sentences without a confident label
Cites it as support 2 papers
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Such a simple scenario as above with the crucial role of the frenetic contribution gets realized in more examples, including responses to temperature and chemical affinities; see [ref] .
Response theory: a trajectory-based approach · Linear response around nonequilibrium · 0.98
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By now, the above scenario has been observed and studied in a great number of cases; see e.g. [ref] .
Frenesy: time-symmetric dynamical activity in nonequilibria · Small and negative susceptibilities · 0.96
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