title: Kinematics of spiral waves under feedback-related spatial gradients.
abstract: The kinematics of spiral waves with artificially constructed spatial excitability is numerically investigated in the Oregonator model. On an assumption that the rotation center of spiral's tip drifts at angle δ to the direction of a local gradient, a kinematic formula of motion of spiral's tip is derived. To test the formula, we have presented two forms of feedback-related spatial fields with radial gradients (RGs) and concentric circular gradients (CGs) both centering on a reference point. It is found that both rigidly rotating and meandering spiral waves are attracted to the reference point of an inward RG and a clockwise CG perturbation but moved away from it under an outward RG and a counterclockwise CG. Simulations of the drift-velocity formulas provide a quantitative testing of the numerical results.
authors.affiliation: School of Mathematical Sciences, Nanjing Normal University, Nanjing, China. njwu@njnu.edu.cn
authors.forename: Ningjie
authors.initials: N
authors.lastname: Wu
authors.forename: Hongjun
authors.initials: H
authors.lastname: Gao
authors.forename: Heping
authors.initials: H
authors.lastname: Ying
mesh_terms: D001696:Biomechanical Phenomena; D005246:Feedback; D008027:Light; D008956:Models, Chemical; D009038:Motion