论文标题
多物种对流 - 扩散反应的新模型的稳定性分析
Stability analysis for a new model of multispecies convection-diffusion-reaction in poroelastic tissue
论文作者
论文摘要
我们对具有惯性（使用固体变形，流体压力和总压力的混合形式制定的遗传机械过程的新模型进行线性稳定性分析）与在培养基中相关的扩散和反应溶质相互作用。我们发现参数区域导致耦合系统的时空不稳定性。变形和扩散模式之间的相互依赖在研究生物材料变化的研究中具有很大相关性。我们在2D和3D（与脑机械生物学有关）中提供了一组计算示例，这些示例可用于更好地理解多孔结构的变形，并在其范围内的变形决定了空间图案动态的产生和抑制，这也与机械波的发作有关。
We perform the linear stability analysis for a new model for poromechanical processes with inertia (formulated in mixed form using the solid deformation, fluid pressure, and total pressure) interacting with diffusing and reacting solutes convected in the medium. We find parameter regions that lead to spatio-temporal instabilities of the coupled system. The mutual dependences between deformation and diffusive patterns are of substantial relevance in the study of morphoelastic changes in biomaterials. We provide a set of computational examples in 2D and 3D (related to brain mechanobiology) that can be used to form a better understanding on how, and up to which extent, the deformations of the porous structure dictate the generation and suppression of spatial patterning dynamics, also related to the onset of mechano-chemical waves.
