https://www.frontiersin.org/journals/network-physiology RSS Feed for Frontiers in Network Physiology | New and Recent Articles en-us Frontiers Feed Generator,version:1 2026-08-05T19:09:08.120+00:00 60 https://www.frontiersin.org/articles/10.3389/fnetp.2026.1849952 https://www.frontiersin.org/articles/10.3389/fnetp.2026.1849952 2026-07-30T00:00:00Z Original Research Luke O’LoughlinDhani DharmapraniAnand GanesanLewis Mitchell https://www.frontiersin.org/articles/10.3389/fnetp.2026.1867627 https://www.frontiersin.org/articles/10.3389/fnetp.2026.1867627 2026-07-30T00:00:00Z Perspective Enrico De MartinoPeng LyuIkram BrahimMehaboobathunnisa Sahul HameedLars Arendt-NielsenYacine Hadjiat https://www.frontiersin.org/articles/10.3389/fnetp.2026.1747187 https://www.frontiersin.org/articles/10.3389/fnetp.2026.1747187 2026-07-29T00:00:00Z Original Research Bolin LiuAbicumaran UthamacumaranAlexander FultonHector Zenil https://www.frontiersin.org/articles/10.3389/fnetp.2026.1792463 https://www.frontiersin.org/articles/10.3389/fnetp.2026.1792463 2026-07-16T00:00:00Z Original Research Bofang WangMichal Zochowski https://www.frontiersin.org/articles/10.3389/fnetp.2026.1865256 https://www.frontiersin.org/articles/10.3389/fnetp.2026.1865256 2026-07-09T00:00:00Z Original Research Hiroyuki Okabe 1,500 records): 93%–98% of events do not follow the canonical suppress-to-late-rise trajectory, Phase V (scaling manifold collapse, R2 < 0.93) is absent in healthy subjects and increases monotonically with disease severity, and healthy dynamics are predominantly supercritical (CHI = 2 (α1 − α2) = +0.334). Although these empirical markers characterize the dynamical state, they lacked formal theoretical grounding. The present study addresses this gap by constructing and validating a minimal stochastic dynamical model of cardiovascular criticality.MethodsA coupled Langevin system, grounded in Haken’s synergetic order-parameter formalism, is reduced to dψ/dt = A (R2)ψ − Bψ + ε(ψ)η(t) via adiabatic elimination. Parameters estimated by Fokker–Planck KL-divergence minimization, cross-cohort regression, and Kramers calibration. Euler–Maruyama and Heun/Stratonovich simulations (N = 50,000; SEED = 42) provide large-noise ground-truth benchmarks.ResultsRc = 0.991, a0 = 20.5, D = 0.06 ± 0.02. A five-condition P_self benchmark (Kramers additive/EM sim/Kramers multiplicative/Heun sim/empirical: 0.42|0.49|0.65|0.50|0.70 for Suppress; 0.50|0.41|0.63|0.43|0.58 for Late-rise) establishes that multiplicative Kramers overestimates simulation in the large-noise regime, quantifying the boundary conditions of Kramers-based approximations. Individual-level estimation (78 patients and 135 mr records) yields ICC = 0.37–0.41, demonstrating real between-patient heterogeneity with dominant within-patient non-stationarity. This ICC range is comparable to that of published values for DFA α1 (ICC ≈0.40–0.60; Penttilä et al., 2001; Aubert et al., 2003) and reflects the expected property of a dynamical rather than trait marker: CHI measures the current phase of the regulatory system, which varies within individuals across states, activity levels, and time of day. Low ICC is, therefore, not a limitation of CHI as a dynamic biomarker but a consequence of measuring a quantity that changes with the physiological context—analogous to blood pressure ICC being lower than body height ICC. High test–retest reliability would indicate that CHI is insensitive to physiological dynamics, which would contradict its role as an order parameter. CHI follows Student’s-t (ν = 12.4; ΔAIC = 74.4 vs. Gaussian). Cross-cohort validation supports P1 (Spearman ρ = 0.867, p = 0.001, N = 10; extended to N = 13 with nsrdb and Fantasia external cohorts, ρ = 0.989; p < 0.0001) and P3 (β = 1.255 [BCa 95%CI: 0.69–2.89], permutation p = 0.014, directionally consistent with pitchfork prediction; exploratory at N = 6). Within-patient temporal prediction (N = 78; 7,555 rolling windows; Cox model) yields HR_CHI = 0.61 (p < 0.001) and HR_PV = 2.31 (p = 0.001); temporal receiver operating characteristic (ROC) area under the curve (AUC) increases from 0.71 to 0.86 as VT/VF onset approaches; Harrell’s C = 0.78 with CHI trend ΔCHI included.ConclusionThis study provides the first formal dynamical framework for the ECSoC empirical markers, deriving the pitchfork bifurcation structure of cardiovascular criticality from the first principles approach and validating it against cross-cohort data and stochastic simulations. The model is structurally validated across analytical, simulation, and empirical domains, with quantitative constraints in the large-noise regime delineating the boundary conditions for Kramers-based approximations. Six falsifiable predictions (P1–P6) define the roadmap for prospective quantitative validation.]]> https://www.frontiersin.org/articles/10.3389/fnetp.2026.1869004 https://www.frontiersin.org/articles/10.3389/fnetp.2026.1869004 2026-07-08T00:00:00Z Technology and Code Bernadette F. DenkStella WienholdNina VolkmerNikolaus F. TrojeMaria MeierJens C. Pruessner https://www.frontiersin.org/articles/10.3389/fnetp.2026.1800427 https://www.frontiersin.org/articles/10.3389/fnetp.2026.1800427 2026-07-03T00:00:00Z Review Jackson MurrayEunyoung HongSarah MulloyWilliam Nobis https://www.frontiersin.org/articles/10.3389/fnetp.2026.1846014 https://www.frontiersin.org/articles/10.3389/fnetp.2026.1846014 2026-07-01T00:00:00Z Original Research Andy SchumannLisa SchmittKatrin RiegerElif ÇalışkanFeliberto De la CruzMaria GeislerYubraj GuptaKarl-Jürgen Bär https://www.frontiersin.org/articles/10.3389/fnetp.2026.1854895 https://www.frontiersin.org/articles/10.3389/fnetp.2026.1854895 2026-06-26T00:00:00Z Review Reece MunsonMegan SandsSarvesh SrinivasanChristos CharalambousAmar Singh Bhogal https://www.frontiersin.org/articles/10.3389/fnetp.2026.1778380 https://www.frontiersin.org/articles/10.3389/fnetp.2026.1778380 2026-06-26T00:00:00Z Original Research Yang LiKazuyuki Aihara https://www.frontiersin.org/articles/10.3389/fnetp.2026.1829189 https://www.frontiersin.org/articles/10.3389/fnetp.2026.1829189 2026-06-24T00:00:00Z Original Research Barbora CzippelovaZuzana TurianikovaJana Cernanova KrohovaNikoleta MazgutovaMichal Javorka https://www.frontiersin.org/articles/10.3389/fnetp.2026.1858616 https://www.frontiersin.org/articles/10.3389/fnetp.2026.1858616 2026-06-22T00:00:00Z Perspective Katrin Schmietendorf https://www.frontiersin.org/articles/10.3389/fnetp.2026.1852577 https://www.frontiersin.org/articles/10.3389/fnetp.2026.1852577 2026-06-19T00:00:00Z Original Research Juri BackesArtyom TsandaTobias KnoppWolfgang RenzEckehard Schöll https://www.frontiersin.org/articles/10.3389/fnetp.2026.1853254 https://www.frontiersin.org/articles/10.3389/fnetp.2026.1853254 2026-06-15T00:00:00Z Original Research Tatyana AgeevaKonstantin GrigarevichiusAleksandr SinitcaDavran SabirovMargarita TsygankovaNikita PykoMikhail BogachevAlbert RizvanovYana Mukhamedshina https://www.frontiersin.org/articles/10.3389/fnetp.2026.1841735 https://www.frontiersin.org/articles/10.3389/fnetp.2026.1841735 2026-06-08T00:00:00Z Systematic Review Michael Joseph DinoChloe Margalaux VillafuerteJerald SayatJustin PimentelJelaine BeniopaPrincess Sarah BahaynonAbraham John CuevasMa. Lucita AlonzoGerald DinoJanet LopezLadda ThiamwongMona Shattell https://www.frontiersin.org/articles/10.3389/fnetp.2026.1799486 https://www.frontiersin.org/articles/10.3389/fnetp.2026.1799486 2026-06-05T00:00:00Z Perspective Michelle GomesZonglun LiAdeola OlaitanAleksandra Gentry-Maharaj https://www.frontiersin.org/articles/10.3389/fnetp.2026.1830261 https://www.frontiersin.org/articles/10.3389/fnetp.2026.1830261 2026-05-29T00:00:00Z Hypothesis and Theory Sabin GautamPaolo Grigolini https://www.frontiersin.org/articles/10.3389/fnetp.2026.1801602 https://www.frontiersin.org/articles/10.3389/fnetp.2026.1801602 2026-05-20T00:00:00Z Perspective Alejandro Carballo https://www.frontiersin.org/articles/10.3389/fnetp.2026.1768476 https://www.frontiersin.org/articles/10.3389/fnetp.2026.1768476 2026-05-19T00:00:00Z Original Research Sai Pavan BeeramMatthew FarrisSamir HossainNicholas RethansJoon Y. KangEmily A. Pereira https://www.frontiersin.org/articles/10.3389/fnetp.2026.1739687 https://www.frontiersin.org/articles/10.3389/fnetp.2026.1739687 2026-05-14T00:00:00Z Original Research Kathryn E. TobertKathryn HigdonTheresa A. MikhailovJohn P. ScottWendi RedfernGeorge M. Hoffman