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Simplifying biochemical tumorous bone remodeling models through variable order derivatives

Computers & Mathematics with Applications(2018)

Cited 12|Views13
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Abstract
Bone is a living tissue that is constantly being renewed, where different cell types can induce a remodeling action to its structure. These mechanisms are typically represented through differential equations, accounting for the biochemical coupling between osteoclastic and osteoblastic cells. Remodeling models have also been extended to include the effects of tumorous disruptive pathologies in the bone dynamics.
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Key words
Bone remodeling,Bone metastasis,Osteolytic,Fractional calculus,Variable order derivatives
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