Optimal Control of convective FitzHugh Nagumo model

Date

2015-06-29

Author

Karasözen, Bülent
Güney , Tuğba

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In this talk we investigate optimal control of wave propagation in excitable media described by two-dimensional FitzHugh-Nagumo model. The model consists of two coupled reaction-diffusionconvection equations describing the flow in blood coagulation and in bioreactors [2] ∂u ∂t = du∆u − V (y) ∂u ∂x + αu(u − β)(1 − u) − v, ∂v ∂t = dv∆v − V (y) ∂v ∂x + (γu − v), where u and v are activator and inhibitor, respectively and V (y) is the velocity profile. The flow plays an important role by the regularization of the excitation threshold and wave propagation. The plane waves occurring in two-dimensional media are controlled in different ways. We solve optimal control problem using the all-at-once approach and sparse [1] and H1 regularized [3] controls. For space discretization we use the symmetric interior penalty discontinuous Galerkin method [4] and for time discretization the implicit Euler method.

URI

https://hdl.handle.net/11511/76226

Conference Name

27th IFIP TC7 Conference 2015 onSystem Modelling and Optimization, (29 June - 03 July 2015)

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Department of Mathematics, Conference / Seminar

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Citation Formats

B. Karasözen and T. Güney, “Optimal Control of convective FitzHugh Nagumo model,” presented at the 27th IFIP TC7 Conference 2015 onSystem Modelling and Optimization, (29 June - 03 July 2015), France, 2015, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/76226.