Bone remodeling is a highly complex process, in which bone cells interact and regulate bone’s apparent density as a response to several external and internal stimuli. In this work, this process is numerically described using a novel 2D biomechanical model. Some of the new features in this model are (i) the mathematical parameters used to determine bone’s apparent density and cellular density; (ii) an automatic boundary recognition step to spatially control bone remodeling and (iii) an approach to mimic the mechanical transduction to osteoclasts and osteoblasts. Moreover, this model is combined with a meshless approach – the Radial Point Interpolation Method (RPIM). The use of RPIM is an asset for this application, especially in the construction of the boundary maps. This work studies bone’s adaptation to a certain loading regime through bone resorption. The signaling pathways of bone cells are dependent on the level of strain energy density (SED) in bone. So, when SED changes, bone cells’ functioning is affected, causing also changes on bone’s apparent density. With this model, bone is able to achieve an equilibrium state, optimizing its structure to withstand the applied loads. Results suggest that this model has the potential to provide high quality solutions while being a simpler alternative to more complex bone remodeling models in the literature.

骨重塑是一个非常复杂的过程，其中骨细胞相互作用并调节骨的表观密度，以响应多种外部和内部刺激。在这项工作中，使用新颖的2D生物力学模型对该过程进行了数值描述。该模型的一些新功能是：（i）用于确定骨骼的表观密度和细胞密度的数学参数；（ii）在空间上控制骨骼重塑的自动边界识别步骤，以及（iii）模拟机械转化为破骨细胞和成骨细胞的方法。此外，该模型与无网格方法（径向点插值方法（RPIM））结合使用。RPIM的使用对于此应用程序是一项资产，尤其是在边界图的构造中。这项工作研究了骨骼通过骨吸收对特定负荷状态的适应性。骨细胞的信号传导途径取决于骨中应变能密度（SED）的水平。因此，当SED改变时，骨细胞的功能会受到影响，从而导致骨骼表观密度的改变。使用此模型，骨骼能够达到平衡状态，优化其结构以承受施加的载荷。结果表明，该模型具有提供高质量解决方案的潜力，同时可以代替文献中更复杂的骨骼重塑模型。骨骼能够达到平衡状态，优化其结构以承受施加的载荷。结果表明，该模型有可能提供高质量的解决方案，同时可以代替文献中更复杂的骨骼重塑模型。骨骼能够达到平衡状态，优化其结构以承受施加的载荷。结果表明，该模型有可能提供高质量的解决方案，同时可以代替文献中更复杂的骨骼重塑模型。