2019
DOI: 10.1007/s10237-019-01166-w
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On mechanically driven biological stimulus for bone remodeling as a diffusive phenomenon

Abstract: In the past years, many attempts have been made in order to model the process of bone remodeling. This process is complex, as it is governed by not yet completely understood biomechanical coupled phenomena. It is well known that bone tissue is able to self-adapt to different environmental demands of both mechanical and biological origin. The mechanical aspects are related to the functional purpose of the bone tissue, i.e., to provide support to the body and protection for the vitally important organs in respon… Show more

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Cited by 79 publications
(38 citation statements)
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“…For example, Prasad and Goyal 27 considered Fick’s second law of diffusion to mimic the flow of Ca 2+ ions within the lacunar-canalicular network of bone cortex. Giorgio et al 46 developed diffusion based equations by considering osteoblasts and osteoclasts as feedback mechanism and osteocytes as sensors to predict space and time dependent trabecular internal bone adaptation under exposure of tensile loading. George et al 47 also mathematically explained the activation of feedback mechanism (i.e.…”
Section: Discussionmentioning
confidence: 99%
“…For example, Prasad and Goyal 27 considered Fick’s second law of diffusion to mimic the flow of Ca 2+ ions within the lacunar-canalicular network of bone cortex. Giorgio et al 46 developed diffusion based equations by considering osteoblasts and osteoclasts as feedback mechanism and osteocytes as sensors to predict space and time dependent trabecular internal bone adaptation under exposure of tensile loading. George et al 47 also mathematically explained the activation of feedback mechanism (i.e.…”
Section: Discussionmentioning
confidence: 99%
“…One year after the end of the workshop, these research lines have already produced several original papers [79][80][81][82][83]. The workshop has allowed the identification of crucial problems, has connected people from different frameworks but sensitive to the same class of problems, and has built collaborations between the participants able to produce original and interesting scientific papers on the topics discussed during the conference.…”
Section: Discussionmentioning
confidence: 99%
“…Detail considerations about the mathematical simulation of bone remodelling are given elsewhere [30], and an alternative version was given in [22,23,27], but a summary formulation is reported in the following.…”
Section: Methodsmentioning
confidence: 99%