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Motivated by this aspect, the currently prevalent scale-bridging constitutive assumptions on fibre kinematics in continuum models will be critically revisited, and an alternative concept will be outlined. This discrepancy between matching macro- and mismatching micromechanics becomes relevant when microscale events shall be inferred from macroscale continuum metrics of stress and strain, and as a salient example the transition between tissue-scale biomechanics and cell-scale mechanobiology will be considered. For non-affine networks, this concept reaches its limit, and an alternative concept will be presented instead. Resolving the microstructure in discrete network models has helped understanding the mechanisms responsible for these outstanding characteristics, and computational homogenization can be used to simulate the macroscopic response. This new approach, albeit not free of challenges, opens up new routes for constitutive modelling of network materials, able to capture both the macroscale behavior and features of their distinct microscopic kinematics.