Cook, Carley V.Islam, Mohammad AminulSmith, Brenda J.Ford Versypt, Ashlee N.2024-09-122024-09-122022Cook CV, Islam MA, Smith BJ, Versypt ANF. Mathematical modeling of the effects of Wnt-10b on bone metabolism. AIChE J. 2022;68(12):e17809. doi:10.1002/aic.17809https://hdl.handle.net/1805/43296Bone health is determined by factors including bone metabolism or remodeling. Wnt-10b alters osteoblastogenesis through pre-osteoblast proliferation and differentiation and osteoblast apoptosis rate, which collectively lead to the increase of bone density. To model this, we adapted a previously published model of bone remodeling. The resulting model for the bone compartment includes differential equations for active osteoclasts, pre-osteoblasts, osteoblasts, osteocytes, and the amount of bone present at the remodeling site. Our alterations to the original model consist of extending it past a single remodeling cycle and implementing a direct relationship to Wnt-10b. Four new parameters were estimated and validated using normalized data from mice. The model connects Wnt-10b to bone metabolism and predicts the change in trabecular bone volume caused by a change in Wnt-10b input. We find that this model predicts the expected increase in pre-osteoblasts and osteoblasts while also pointing to a decrease in osteoclasts when Wnt-10b is increased.en-USPublisher PolicyWnt signalingBone cellsBone remodelingMathematical modelingSystems biologyMathematical modeling of the effects of Wnt-10b on bone metabolismArticle