Robust spike timing in an excitable cell with delayed feedback

Author:

Wedgwood Kyle C. A.1,Słowiński Piotr1,Manson James1,Tsaneva-Atanasova Krasimira123,Krauskopf Bernd45

Affiliation:

1. Living Systems Institute and Department of Mathematics, College of Engineering, Mathematics and Physical Sciences, University of Exeter, Stocker Road, Exeter EX4 4QD, UK

2. Institute for Advanced Study, Technical University of Munich, Lichtenbergstrasse 2 a, 85748 Garching, Germany

3. Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria

4. Department of Mathematics, University of Auckland, Auckland 1010, New Zealand

5. Dodd-Walls Centre for Photonic and Quantum Technologies, Dunedin 9054, New Zealand

Abstract

The initiation and regeneration of pulsatile activity is a ubiquitous feature observed in excitable systems with delayed feedback. Here, we demonstrate this phenomenon in a real biological cell. We establish a critical role of the delay resulting from the finite propagation speed of electrical impulses in the emergence of persistent multiple-spike patterns. We predict the coexistence of a number of such patterns in a mathematical model and use a biological cell subject to dynamic clamp to confirm our predictions in a living mammalian system. Given the general nature of our mathematical model and experimental system, we believe that our results capture key hallmarks of physiological excitability that are fundamental to information processing.

Funder

Medical Research Council

Wellcome Trust

Engineering and Physical Sciences Research Council

Technische Universität München

Royal Society Te Aparangi Marsden Fund

Publisher

The Royal Society

Subject

Biomedical Engineering,Biochemistry,Biomaterials,Bioengineering,Biophysics,Biotechnology

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