TY - JOUR
T1 - Markov modeling of phase singularity interaction effects in human atrial and ventricular fibrillation
AU - Jenkins, Evan V.
AU - Dharmaprani, Dhani
AU - Schopp, Madeline
AU - Quah, Jing Xian
AU - Tiver, Kathryn
AU - Mitchell, Lewis
AU - Nash, Martyn P.
AU - Clayton, Richard H.
AU - Pope, Kenneth
AU - Ganesan, Anand N.
PY - 2023/6/12
Y1 - 2023/6/12
N2 - Atrial and ventricular fibrillation (AF/VF) are characterized by the repetitive regeneration of topological defects known as phase singularities (PSs). The effect of PS interactions has not been previously studied in human AF and VF. We hypothesized that PS population size would influence the rate of PS formation and destruction in human AF and VF, due to increased inter-defect interaction. PS population statistics were studied in computational simulations (Aliev-Panfilov), human AF and human VF. The influence of inter-PS interactions was evaluated by comparison between directly modeled discrete-time Markov chain (DTMC) transition matrices of the PS population changes, and M/M/∞ birth-death transition matrices of PS dynamics, which assumes that PS formations and destructions are effectively statistically independent events. Across all systems examined, PS population changes differed from those expected with M/M/∞. In human AF and VF, the formation rates decreased slightly with PS population when modeled with the DTMC, compared with the static formation rate expected through M/M/∞, suggesting new formations were being inhibited. In human AF and VF, the destruction rates increased with PS population for both models, with the DTMC rate increase exceeding the M/M/∞ estimates, indicating that PS were being destroyed faster as the PS population grew. In human AF and VF, the change in PS formation and destruction rates as the population increased differed between the two models. This indicates that the presence of additional PS influenced the likelihood of new PS formation and destruction, consistent with the notion of self-inhibitory inter-PS interactions.
AB - Atrial and ventricular fibrillation (AF/VF) are characterized by the repetitive regeneration of topological defects known as phase singularities (PSs). The effect of PS interactions has not been previously studied in human AF and VF. We hypothesized that PS population size would influence the rate of PS formation and destruction in human AF and VF, due to increased inter-defect interaction. PS population statistics were studied in computational simulations (Aliev-Panfilov), human AF and human VF. The influence of inter-PS interactions was evaluated by comparison between directly modeled discrete-time Markov chain (DTMC) transition matrices of the PS population changes, and M/M/∞ birth-death transition matrices of PS dynamics, which assumes that PS formations and destructions are effectively statistically independent events. Across all systems examined, PS population changes differed from those expected with M/M/∞. In human AF and VF, the formation rates decreased slightly with PS population when modeled with the DTMC, compared with the static formation rate expected through M/M/∞, suggesting new formations were being inhibited. In human AF and VF, the destruction rates increased with PS population for both models, with the DTMC rate increase exceeding the M/M/∞ estimates, indicating that PS were being destroyed faster as the PS population grew. In human AF and VF, the change in PS formation and destruction rates as the population increased differed between the two models. This indicates that the presence of additional PS influenced the likelihood of new PS formation and destruction, consistent with the notion of self-inhibitory inter-PS interactions.
KW - Atrial and ventricular fibrillation (AF/VF)
KW - phase singularities (PSs)
KW - inter-PS interactions
UR - http://www.scopus.com/inward/record.url?scp=85162144933&partnerID=8YFLogxK
UR - http://purl.org/au-research/grants/NHMRC/2010522
U2 - 10.1063/5.0141890
DO - 10.1063/5.0141890
M3 - Article
C2 - 37307158
AN - SCOPUS:85162144933
SN - 1054-1500
VL - 33
JO - Chaos
JF - Chaos
IS - 6
M1 - 063136
ER -