Éditeur(s) : HAL CCSD Springer Verlag
Résumé : International audience
Acquiring information is indisputably energy-consuming and conversely, the availability of information permits greater efficiency. Strangely, the scientific community long remained reluctant to establish a physical equivalence between the abstract notion of information and sensible thermodynamics. However, certain physicists such as Szilard and Brillouin proposed: (i) to give to information the status of a genuine thermodynamic entity (k B T ln2 joules/bit) and (ii) to link the capacity of storing information inferred from correlated systems, to that of indefinitely increasing organization. This positive feedback coupled to the self-templating molecular potential could provide a universal basis for the spontaneous rise of highly organized structures, typified by the emergence of life from a prebiotic chemical soup. Once established, this mechanism ensures the longevity and robustness of life envisioned as a general system, by allowing it to accumulate and optimize microstate-reducing recipes, thereby giving rise to strong nonlinearity, decisional capacity and multistability. Mechanisms possibly involved in priming this cycle are proposed.
ISSN: 0169-6149

inserm-00826658
http://www.hal.inserm.fr/inserm-00826658
http://www.hal.inserm.fr/inserm-00826658/document
http://www.hal.inserm.fr/inserm-00826658/file/OLEB-2013.pdf
DOI : 10.1007/s11084-013-9329-2

Éditeur(s) : HAL CCSD
Résumé : International audience
This paper is concerned with a null controllability problem for nonlinear parabolic equations appearing in mathematical biology. We consider a system of two equations with a nonlocal nonlinearity, in a bounded domain Ω of ℝN0, N0 being a positive integer sufficiently small. Such models can be used in the context of dynamics of biological systems to describe the migration of population (of bacteria in a container). Our aim is to find a control common to both equations, which solves the null controllabillity of the studied system under constraints on the state. A similar control problem has recently been addressed for the Laplace operator, so the present paper extends those results.
2017 Proceedings of the Conference on Control and its Applications
Pittsburgh, United States

Droits : http://hal.archives-ouvertes.fr/licences/copyright/
hal-01567339
https://hal.archives-ouvertes.fr/hal-01567339
DOI : 10.1137/1.9781611975024.3