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• W2793619583 abstract "In this work, we model osteoclast-osteoblast population dynamics with random environmental fluctuations in order to understand the random variations of the bone remodeling process in real life. For this purpose, we construct a stochastic differential model for the interactions between the osteoclast and osteoblast cell populations using the parameter perturbation technique. We prove the existence of a globally attractive positive unique solution for the stochastically perturbed system. Also, the stochastic boundedness of the solution is demonstrated using its p-th order moments for p ≥ 1. Finally, we show that the introduction of noise in the deterministic model provides a fluctuating periodic solution. Numerical evidence supports our theoretical results and a discussion of the results is carried out." @default.
• W2793619583 created "2018-03-29" @default.
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• W2793619583 date "2018-05-01" @default.
• W2793619583 modified "2023-10-02" @default.
• W2793619583 title "Fluctuating periodic solutions and moment boundedness of a stochastic model for the bone remodeling process" @default.
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• W2793619583 doi "https://doi.org/10.1016/j.mbs.2018.03.006" @default.
• W2793619583 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/29526549" @default.
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