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Modeling the Cardiac Tissue Electrode Interface Using Fractional Calculus

Department of Bioengineering, University of Illinois at Chicago, Chicago, IL 60607 USA, rmagin{at}uic.edu

M. Ovadia

Department of Pediatrics, Advocate Lutheran General Children's Hospital, Park Ridge, Chicago, IL 60068 USA, Department of Bioengineering, University of Illinois at Chicago, IL 60607 USA

The tissue electrode interface is common to all forms of biopotential recording (e.g., ECG, EMG, EEG) and functional electrical stimulation (e.g., pacemaker, cochlear implant, deep brain stimulation). Conventional lumped element circuit models of electrodes can be extended by generalization of the order of differentiation through modification of the defining current-voltage relationships. Such fractional order models provide an improved description of observed bioelectrode behaviour, but recent experimental studies of cardiac tissue suggest that additional mathematical tools may be needed to describe this complex system.

Key Words: Cardiac tissue • impedance • fractional derivative • bioelectrodes

Journal of Vibration and Control, Vol. 14, No. 9-10, 1431-1442 (2008)
DOI: 10.1177/1077546307087439


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