Horacio G. Rotstein

Abstract Degeneracy in dynamic models refers to these situations where multiple combinations of parameter values produce identical patterns for the observable variable. We investigate this phenomenon in two qualitatively different adaptive circuit mechanisms: nonlinear feedback loop (NFBL) and incoherent feedback loop (IFFL). We use minimal models of these circuit types together with analytical calculations, regular perturbation analysis, dynamical systems tools and numerical simulations.

Abstract Neuronal frequency filters can be thought of as constituent building blocks underlying the ability of neuronal systems to process information, generate rhythms and perform computations. How neuronal filters are generated by the concerted activity of a multiplicity of processes (e.g., electric circuit, history-dependent) and interacting time scales within and across levels of neuronal network organization is poorly understood.

Abstract Degeneracy in dynamic models refers to these situations where multiple combinations of parameter values produce identical patterns for the observable variable. In this paper we investigate the presence of degeneracy and the biological and dynamic mechanism that give rise to ti in adaptive and resonant/phasonant patterns generated by two qualitatively different circuit mechanisms: nonlinear feedback loop (NFBL) and incoherent feedback loop (IFFL).