We formulate an approach to the A + A 鈫 products reaction based on a reaction-diffusion model. We construct the first equations in a moment hierarchy whose first two members are the global density of A particles and the pair correlation function. We terminate the hierarchy by relating the ...
forced wave model has been used to simulate mound forma- tion in Dictyostelium discoideum 1 . The effects of LPF have been studied in both oscillatory 2 and excitable 3,4 reaction-diffusion systems. In the latter case, the studies were aimed at development of low-voltage cardiac defibrill...
Reaction–diffusion modelPeriodic delaysBasic reproduction numberThreshold dynamicsA vector-borne disease is caused by a range of pathogens and transmitted to hosts through vectors. To investigate the multiple effects of the spatial heterogeneity, the temperature sensitivity of......
Considering the Smoluchowski equation as the governing equation for the process, a special exit condition given by, S(x,t)=k0ektδ(x-xce-kt) can be solved analytically using variable transformations from a simple model. Interesting insights into the diffusion dynamics emerge from the interplay ...
Differential Equations 247 (2009) 1096–1119Contents lists available at ScienceDirectJournal of Differential Equationswww.elsevier.com/locate/jdeAsymptotic profiles of the positive steady state for an SISepidemic reaction–diffusion model. Part I✩Rui Penga,b,∗aInstitute of Nonlinear Complex Systems...
(3) equivariant diffusion model that satisfies all physical symmetries and constraints for generating sets of structures—reactant, transition state and product—in an elementary reaction. Provided reactant and product, this model generates a transition state structure in seconds instead of hours, which...
Cell-based models of excitable tissues offer the advantage of cell-level precision, which cannot be achieved using traditional homogenized electrophysiological models. However, this enhanced accuracy comes at the cost of increased computational demands,
An type Ⅱ interfacial reaction diffusion model for facilitating transport in the liquid surfactant membranes has been developed. 提出了一种促进迁移的反应扩散模型,该模型考虑了外相边界层、膜相扩散和界面化学反应同时控制的情况,并考虑了膜破裂的影响。
Here, we propose a model that couples morphogen transport and the cell mechanics during embryogenesis. A diffusion-reaction equation is introduced as an additional mechanical regulator of morphogenesis. Consequently, the active deformations are not directly imposed in the analytical formulation, but they ...
Analysis of complex and chaotic patterns near a codimension-2 Turing-Hopf point in a reaction-diffusion model We study a reaction-diffusion system of activator-inhibitor type, and characterize the resulting complex and chaotic spatio-temporal patterns by their Lyap... M Meixner,S Bose,E Sch?Ll...