Robust feed-back control of travelling waves in a class of reaction–diffusion distributed biological systems
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Julio R. Banga | Carlos Vilas | Míriam R. García | Antonio A. Alonso | J. Banga | A. Alonso | C. Vilas
[1] Dr. M. G. Worster. Methods of Mathematical Physics , 1947, Nature.
[2] A. Hodgkin,et al. A quantitative description of membrane current and its application to conduction and excitation in nerve , 1952, The Journal of physiology.
[3] A. Turing. The chemical basis of morphogenesis , 1952, Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences.
[4] R. FitzHugh. Impulses and Physiological States in Theoretical Models of Nerve Membrane. , 1961, Biophysical journal.
[5] S. Yoshizawa,et al. An Active Pulse Transmission Line Simulating Nerve Axon , 1962, Proceedings of the IRE.
[6] J Bures,et al. Spiral waves of spreading depression in the isolated chicken retina. , 1983, Journal of neurobiology.
[7] L. Sirovich. Turbulence and the dynamics of coherent structures. I. Coherent structures , 1987 .
[8] Topological considerations in the generation of scroll waves in excitable and cyclical media , 1994 .
[9] P. Daoutidis,et al. Finite-dimensional control of parabolic PDE systems using approximate inertial manifolds , 1997 .
[10] Jonathan C. Mattingly,et al. Low-dimensional models of coherent structures in turbulence , 1997 .
[11] Markus Bär,et al. Pulse bifurcation and transition to spatiotemporal chaos in an excitable reaction-diffusion model , 1997 .
[12] S. Shvartsman,et al. Nonlinear model reduction for control of distributed systems: A computer-assisted study , 1998 .
[13] F. Fenton,et al. Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: Filament instability and fibrillation. , 1998, Chaos.
[14] J Jalife,et al. Spiral waves in two-dimensional models of ventricular muscle: formation of a stationary core. , 1998, Biophysical journal.
[15] L. J. Leon,et al. Spatiotemporal evolution of ventricular fibrillation , 1998, Nature.
[16] Flavio H. Fenton,et al. SPATIOTEMPORAL CONTROL OF WAVE INSTABILITIES IN CARDIAC TISSUE , 1999 .
[17] V. Krinsky,et al. Unpinning of a rotating wave in cardiac muscle by an electric field. , 1999, Journal of theoretical biology.
[18] M A Dahlem,et al. Image processing techniques applied to excitation waves in the chicken retina. , 2000, Methods.
[19] Constantinos Theodoropoulos,et al. Order reduction for nonlinear dynamic models of distributed reacting systems , 2000 .
[20] Antonio A. Alonso,et al. Stabilization of distributed systems using irreversible thermodynamics , 2001, Autom..
[21] I. Kevrekidis,et al. ROBUST NONLINEAR CONTROL DESIGN OF DISTRIBUTED PROCESS SYSTEMS WITH INPUT CONSTRAINTS , 2002 .
[22] Elizabeth M Cherry,et al. Real-time computer simulations of excitable media: JAVA as a scientific language and as a wrapper for C and FORTRAN programs. , 2002, Bio Systems.
[23] C. W. Gear,et al. 'Coarse' integration/bifurcation analysis via microscopic simulators: Micro-Galerkin methods , 2002 .
[24] P. Christofides,et al. Nonlinear and Robust Control of PDE Systems: Methods and Applications to Transport-Reaction Processes , 2002 .
[25] Hans V Westerhoff,et al. Control of spatially heterogeneous and time-varying cellular reaction networks: a new summation law. , 2002, Journal of theoretical biology.
[26] H. Wio,et al. Influence of boundary conditions on the dynamics of oscillatory media , 2003 .
[27] W. Troy,et al. On the bifurcation curve for an elliptic system of FitzHugh–Nagumo type , 2003 .
[28] Dirk Lebiedz,et al. Manipulation of self-aggregation patterns and waves in a reaction-diffusion system by optimal boundary control strategies. , 2003, Physical review letters.
[29] James P Keener,et al. The topology of defibrillation. , 2004, Journal of theoretical biology.
[30] Julio R. Banga,et al. Optimal sensor location and reduced order observer design for distributed process systems , 2004, Comput. Chem. Eng..
[31] Julio R. Banga,et al. Dissipative systems: from physics to robust nonlinear control , 2004 .
[32] Antonio A. Alonso,et al. Optimal sensor placement for state reconstruction of distributed process systems , 2004 .
[33] Harald Engel,et al. Feedback-mediated control of spiral waves , 2004 .
[34] J. Stelling,et al. Robustness of Cellular Functions , 2004, Cell.
[35] Jiuping Xu,et al. Simulation of biological waves in single-species bacillus system governed by birth and death-diffusion dynamical equation , 2005, Math. Comput. Simul..
[36] Stabilization of inhomogeneous patterns in a diffusion-reaction system under structural and parametric uncertainties. , 2006, Journal of theoretical biology.
[37] Giles Auchmuty,et al. Rotating wave solutions of the FitzHugh–Nagumo equations , 2006, Journal of mathematical biology.
[38] Julio R. Banga,et al. Robust Feed-back Control of Distributed Chemical Reaction Systems , 2007 .
[39] O. Slaby,et al. Targeting characteristic wave properties in reaction-diffusion systems by optimization of external forcing. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.