Traveling waves form a basic class of solutions to reaction–diffusion equations, which can describe a large number of phenomena. The basic property characterizing traveling wave solutions is their speed of propagation. In this study we analyze its dependence on the diffusivities of the interacting agents. We show that this dependence is subject to some relations, which can be derived by simple scaling properties. We augment our findings by an investigation of reaction–diffusion systems describing intercellular calcium dynamics in the presence of buffer molecules. We establish some mathematical results concerning the behavior of the velocity of traveling waves in the case of fast buffer kinetics, (paying special attention to the vicinity of zero speed), and present outcomes of numerical simulations showing how complicated the interplay between the diffusion coefficients of calcium and buffering molecules can be, especially in models with more than one kind of buffer molecules.

行波构成了反应扩散方程的基本解，可以描述大量现象。表征行波解的基本特性是它们的传播速度。在这项研究中，我们分析了其对相互作用剂扩散性的依赖性。我们证明了这种依赖性受某些关系的影响，这些关系可以通过简单的缩放属性来推导。我们通过对反应扩散系统的研究来扩充我们的发现，该系统描述了在存在缓冲分子的情况下细胞间钙的动力学。我们建立了一些有关快速缓冲动力学情况下行波速度行为的数学结果，（特别注意零速度附近），