Nonlinear Dynamics of Left Ventricular Mass Remodeling in Chagas Cardiomyopathy
Paulo Roberto Benchimol‐BarbosaiD, Ana Carolina Loayza-Benchimol-BarbosaiD, C. G. CarvalhaesiD, Bharat K. KanthariaiD
Abstract
Left ventricular (LV) mass remodeling in chronic Chagas cardiomyopathy (CCC) is progressive, but whether its dynamics follow nonlinear patterns linked to all-cause mortality remains unexplored. In this SEARCH-Rio substudy, 50 outpatients were followed for 10 years (40 survivors, 10 nonsurvivors). Serial echocardiography provided paired LV mass measurements fitted to the logistic equation x = {middle dot}x{middle dot}(1-{gamma}{middle dot}x), yielding = 3.952 {+/-} 0.096 and {gamma} = 1.267 {+/-} 0.012, above the complexity threshold ( > 3.57). Lyapunov exponents (LE), computed from consecutive inter patient derivatives, were positive in survivors (+0.349 {+/-} 0.342) and negative in nonsurvivors (-0.459 {+/-} 0.377; p < 0.001), indicating preserved versus lost dynamical complexity, respectively. The fixed-point equilibrium ({approx} 179 g) is mathematically unstable for = 3.952, consistent, but not confirmatory, with sensitive dependence on initial conditions. Complex nonlinear dynamics were independently confirmed at the intra-patient level in a subgroup with extended longitudinal follow-up beyond the initial 10-year period. A Firth penalized regression risk score based on ejection fraction < 51.7% and maximum heart rate < 109 bpm (optimism-corrected AUC = 0.959, bootstrap B = 1,000) showed monotonic mortality gradient and progressively lower LE across strata (Spearman {rho} = -0.381, p = 0.003). These findings support nonlinear LV mass remodeling associated with all-cause mortality over the same observation window in CCC; replication in larger cohorts is warranted.
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