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Osteoconductivity is an important characteristic describing the ingrowth of newly forming bone into the implant. The implant should have an interconnected macropores (of about hundreds of microns) and a specific geometry of pore space (straight channels). Obviously, the increase in porosity makes a material more permeable, however, strength properties and stiffness of the structure are reduced. Structures with lower stiffness allow diminishing stress shielding near the implant/bone interface. Coming from these points, we tried to optimize the geometry of implants considering open-cell architectures (Kelvin) and triplyperiodic minimal surfaces1. The permeability of various structures (assuming to be related to osteoconductivity) can be estimated by modelling the flow of liquids of different viscosities through the pore structure. Modelling of compressive loading of the architectures allows us to determine their strength properties (strength, stiffness). The aim of this work was to elaborate a view on design of architecture of osteoconductive highly permeable and mechanically compatible to bone tissue constructions regarded as bone implants.