Contributions of the operator hierarchy to the field of biologically driven mathematics and computation

Abstract

This position paper discusses the potential contributions of the ‘operator hierarchy’ theory to the INBIOSA project. The operator hierarchy offers a fundamental, theoretical, multilevel methodology for analysing natural organisation. In this theory, the word ‘operators’ generically represents the physical particles and the organisms. The operators theory may act as a backbone for modelling approaches because it offers a general theory describing how hierarchical levels of organisation emerge along three dimensions: from interactions between operator, from the complexity increases within operator and from the complexity increases leading to higher level operators.