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This review aims to highlight urgent priorities for the computational biomechanics community in the
framework of mechano-chemo-biological models. Recent approaches, promising directions and open challenges on the
computational modelling of arterial tissues in health and disease are introduced and investigated, together with in silico
approaches for the analysis of drug-eluting stents that promote a pharmacological-induced healing. The paper addresses a
number of chemo-biological phenomena that are generally neglected in biomechanical engineering models but are most
likely instrumental for the onset and the progression of arterial diseases. An interdisciplinary effort is thus encouraged for
providing the tools for an effective in silico insight into medical problems. An integrated mechano-chemo-biological
perspective is believed to be a fundamental missing piece for crossing the bridge between computational engineering and
life sciences, and for bringing computational biomechanics into medical research and clinical practice.