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An operatorial model for long-term survival of bacterial populations

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Abstract

This paper deals with the application of the operatorial techniques of quantum physics to model a closed ecosystem in a two-dimensional region. In particular, we consider a model with four compartments, represented by fermionic operators, distributed on a finite square grid. The dynamics is governed by a self-adjoint Hamiltonian containing the interactions among the compartments (nutrients, bacteria and two different kinds of garbage) as well as some diffusive phenomena along the cells.

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Acknowledgments

Work supported by “Gruppo Nazionale per la Fisica Matematica” (G.N.F.M.) of the “Istituto Nazionale di Alta Matematica” (I.N.d.A.M.).

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  1. Dipartimento di Scienze Matematiche e Informatiche, Scienze Fisiche e Scienze della Terra, Università di Messina, Viale F. Stagno d’Alcontres 31, 98166, Messina, Italy

    Rosa Di Salvo & Francesco Oliveri

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  1. Rosa Di Salvo
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  2. Francesco Oliveri
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Correspondence to Francesco Oliveri.

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Di Salvo, R., Oliveri, F. An operatorial model for long-term survival of bacterial populations. Ricerche mat 65, 435–447 (2016). https://doi.org/10.1007/s11587-016-0266-z

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  • DOI: https://doi.org/10.1007/s11587-016-0266-z

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