In this work we aim to highlight a close analogy between cooperative behaviors in chemical kinetics and cybernetics; this is realized by using a common language for their description, that is mean-field statistical mechanics. First, we perform a one-to-one mapping between paradigmatic behaviors in chemical kinetics (i.e., non-cooperative, cooperative, ultra-sensitive, anti-cooperative) and in mean-field statistical mechanics (i.e., paramagnetic, high and low temperature ferromagnetic, anti-ferromagnetic). Interestingly, the statistical mechanics approach allows a unified, broad theory for all scenarios and, in particular, Michaelis-Menten, Hill and Adair equations are consistently recovered. This framework is then tested against experimental biological data with an overall excellent agreement. One step forward, we consistently read the whole mapping from a cybernetic perspective, highlighting deep structural analogies between the above-mentioned kinetics and fundamental bricks in electronics (i.e. operational amplifiers, flashes, flip-flops), so to build a clear bridge linking biochemical kinetics and cybernetics.

Collective behaviours: from biochemical kinetics to electronic circuits / Agliari, Elena; Barra, Adriano; A., Di Biasio; R., Burioni; G., Uguzzoni. - In: SCIENTIFIC REPORTS. - ISSN 2045-2322. - ELETTRONICO. - 3:(2013), p. 3458. [10.1038/srep03458]

Collective behaviours: from biochemical kinetics to electronic circuits

AGLIARI, ELENA;BARRA, ADRIANO;
2013

Abstract

In this work we aim to highlight a close analogy between cooperative behaviors in chemical kinetics and cybernetics; this is realized by using a common language for their description, that is mean-field statistical mechanics. First, we perform a one-to-one mapping between paradigmatic behaviors in chemical kinetics (i.e., non-cooperative, cooperative, ultra-sensitive, anti-cooperative) and in mean-field statistical mechanics (i.e., paramagnetic, high and low temperature ferromagnetic, anti-ferromagnetic). Interestingly, the statistical mechanics approach allows a unified, broad theory for all scenarios and, in particular, Michaelis-Menten, Hill and Adair equations are consistently recovered. This framework is then tested against experimental biological data with an overall excellent agreement. One step forward, we consistently read the whole mapping from a cybernetic perspective, highlighting deep structural analogies between the above-mentioned kinetics and fundamental bricks in electronics (i.e. operational amplifiers, flashes, flip-flops), so to build a clear bridge linking biochemical kinetics and cybernetics.
2013
Humans; Algorithms; Models, Theoretical; Multidisciplinary
01 Pubblicazione su rivista::01a Articolo in rivista
Collective behaviours: from biochemical kinetics to electronic circuits / Agliari, Elena; Barra, Adriano; A., Di Biasio; R., Burioni; G., Uguzzoni. - In: SCIENTIFIC REPORTS. - ISSN 2045-2322. - ELETTRONICO. - 3:(2013), p. 3458. [10.1038/srep03458]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/557635
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