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In this paper we specify research assumptions introduced and used in "Themeta-structure project" to be considered both to model and design collectivebehaviours as given by coherent mesoscopic dynamics. We specify concepts ofinteraction and dynamics both in homogeneous and non-homogeneous cases, i.e.,fixed and variable structures. We specify consequent modelling and designapproaches. We also present and discuss approaches to measure the level ofcomplexity allowed or detected in collective behaviours intended as coherentmesoscopic dynamics. We mention the possibility to model properties of domainsof coherence, for instance, populations of oscillators and molecules, by usingmeta-structural properties to be eventually considered also for quantumcoherent domains.  Keywords: Coherence, Collective, Dynamics, Homogeneous, Interaction,Mesoscopic, Meta-structural, Property.

Approaches and principles of the Meta-Structures Project: the mesoscopic dynamics -Notes for software and models designers-