In many actual technological problems the system response is dictated by multi-physics events, which occur at different space–time-scales. Energy storage systems or active polymers are two illustrative real-life applications: they involve diffusion of chemically active species concurrent to mechanical deformations that take place in the same spatial domain. An abundant literature exists nowadays for this class of problems. There are, though, several major applications in which the motion of species is confined on advecting surfaces. The transport along membranes which advect and chemically respond only after getting into contact with an obstacle is a classical problem in cell mechanobiology or coatings, for instance. Modeling and simulations for such a class of problems is thoroughly investigated in the present note.

在许多实际技术问题中，系统响应由多物理事件决定，这些事件发生在不同的时空尺度上。能量存储系统或活性聚合物是两种说明性的现实应用：它们涉及化学活性物质的扩散，同时发生在同一空间域中的机械变形。对于这类问题，如今已有大量文献。然而，有几个主要的应用，其中物种的运动被限制在平流表面上。例如，仅在与障碍物接触后，沿膜进行平流和化学反应的运输是细胞力学生物学或涂层中的一个经典问题。本说明对此类问题的建模和仿真进行了深入研究。