Analysis of complex excitation patterns using Feynman-like diagrams
Abstract Many extended chemical and biological systems self-organise into complex patterns that drive the medium behaviour in a non-linear fashion. An important class of such systems are excitable media, including neural and cardiac tissues. In extended excitable media, wave breaks can form rotating...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2024-11-01
|
| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-024-73544-z |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1846158635701370880 |
|---|---|
| author | Louise Arno Desmond Kabus Hans Dierckx |
| author_facet | Louise Arno Desmond Kabus Hans Dierckx |
| author_sort | Louise Arno |
| collection | DOAJ |
| description | Abstract Many extended chemical and biological systems self-organise into complex patterns that drive the medium behaviour in a non-linear fashion. An important class of such systems are excitable media, including neural and cardiac tissues. In extended excitable media, wave breaks can form rotating patterns and turbulence. However, the onset, sustaining and elimination of such complex patterns is currently incompletely understood. The classical theory of phase singularities in excitable media was recently challenged, as extended lines of conduction block were identified as phase discontinuities. Here, we provide a theoretical framework that captures the rich dynamics in excitable systems in terms of three quasiparticles: heads, tails, and pivots. We propose to call these quasiparticles ‘cardions’. In simulations and experiments, we show that these basic building blocks combine into at least four different bound states. By representing their interactions similarly to Feynman diagrams in physics, the creation and annihilation of vortex pairs are shown to be sequences of dynamical creation, annihilation, and recombination of the identified quasiparticles. We draw such diagrams for numerical simulations, as well as optical voltage mapping experiments performed on cultured human atrial myocytes (hiAMs). Our results provide a new, unified language for a more detailed theory, analysis, and mechanistic insights of dynamical transitions in excitation patterns. |
| format | Article |
| id | doaj-art-ef1c43c1926c47fe93d6fc215f3f27e1 |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-ef1c43c1926c47fe93d6fc215f3f27e12024-11-24T12:22:13ZengNature PortfolioScientific Reports2045-23222024-11-0114111810.1038/s41598-024-73544-zAnalysis of complex excitation patterns using Feynman-like diagramsLouise Arno0Desmond Kabus1Hans Dierckx2Department of Mathematics, KU Leuven Campus Kortrijk (KULAK)Department of Mathematics, KU Leuven Campus Kortrijk (KULAK)Department of Mathematics, KU Leuven Campus Kortrijk (KULAK)Abstract Many extended chemical and biological systems self-organise into complex patterns that drive the medium behaviour in a non-linear fashion. An important class of such systems are excitable media, including neural and cardiac tissues. In extended excitable media, wave breaks can form rotating patterns and turbulence. However, the onset, sustaining and elimination of such complex patterns is currently incompletely understood. The classical theory of phase singularities in excitable media was recently challenged, as extended lines of conduction block were identified as phase discontinuities. Here, we provide a theoretical framework that captures the rich dynamics in excitable systems in terms of three quasiparticles: heads, tails, and pivots. We propose to call these quasiparticles ‘cardions’. In simulations and experiments, we show that these basic building blocks combine into at least four different bound states. By representing their interactions similarly to Feynman diagrams in physics, the creation and annihilation of vortex pairs are shown to be sequences of dynamical creation, annihilation, and recombination of the identified quasiparticles. We draw such diagrams for numerical simulations, as well as optical voltage mapping experiments performed on cultured human atrial myocytes (hiAMs). Our results provide a new, unified language for a more detailed theory, analysis, and mechanistic insights of dynamical transitions in excitation patterns.https://doi.org/10.1038/s41598-024-73544-z |
| spellingShingle | Louise Arno Desmond Kabus Hans Dierckx Analysis of complex excitation patterns using Feynman-like diagrams Scientific Reports |
| title | Analysis of complex excitation patterns using Feynman-like diagrams |
| title_full | Analysis of complex excitation patterns using Feynman-like diagrams |
| title_fullStr | Analysis of complex excitation patterns using Feynman-like diagrams |
| title_full_unstemmed | Analysis of complex excitation patterns using Feynman-like diagrams |
| title_short | Analysis of complex excitation patterns using Feynman-like diagrams |
| title_sort | analysis of complex excitation patterns using feynman like diagrams |
| url | https://doi.org/10.1038/s41598-024-73544-z |
| work_keys_str_mv | AT louisearno analysisofcomplexexcitationpatternsusingfeynmanlikediagrams AT desmondkabus analysisofcomplexexcitationpatternsusingfeynmanlikediagrams AT hansdierckx analysisofcomplexexcitationpatternsusingfeynmanlikediagrams |