Synchronization of the Glycolysis Reaction-Diffusion Model via Linear Control Law
Adel Ouannas, Iqbal M. Batiha, Stelios Bekiros, Jinping Liu, Hadi Jahanshahi, Ayman A. Aly, Abdulaziz H. Alghtani
Abstract
The Selkov system, which is typically employed to model glycolysis phenomena, unveils some rich dynamics and some other complex formations in biochemical reactions. In the present work, the synchronization problem of the glycolysis reaction-diffusion model is handled and examined. In addition, a novel convenient control law is designed in a linear form and, on the other hand, the stability of the associated error system is demonstrated through utilizing a suitable Lyapunov function. To illustrate the applicability of the proposed schemes, several numerical simulations are performed in one- and two-spatial dimensions.
Topics & Concepts
Reaction–diffusion systemSynchronization (alternating current)Work (physics)Lyapunov functionGlycolysisControl theory (sociology)DiffusionStability (learning theory)Computer scienceApplied mathematicsMathematicsLawControl (management)PhysicsMathematical analysisTopology (electrical circuits)Nonlinear systemThermodynamicsArtificial intelligenceMachine learningPolitical scienceNuclear magnetic resonanceEnzymeCombinatoricsQuantum mechanicsNonlinear Dynamics and Pattern Formationstochastic dynamics and bifurcationMathematical and Theoretical Epidemiology and Ecology Models