{"schema_version":1,"experiment_id":"eoa_inverse_innovation_exp04_retrieval_first_paired20_20260802","cell_id":"invariant_mode_decomposition_design__medicine_healthcare","hypothesis_id":"H1","search_queries":["hospital patient deterioration \"dynamic mode decomposition\" eigenvalue alert","clinical deterioration Koopman operator vital signs early warning","patient deterioration multivariate state-space model vital signs hospital ward early warning","patent eigenvalue physiological monitoring patient deterioration alert","multivariate vital-sign instability index general ward Visensia BioSign clinical trial deterioration","\"eigenvalue\" \"patient deterioration\" physiological time series hospital","\"bifurcation\" physiological variables early warning patient deterioration patent","\"Tracking Progression of Patient State of Health\" \"shared dynamics\""],"sources":[{"source_id":"S1","title":"US11266355B2: Early warning system and method for predicting patient deterioration","publisher":"United States Patent and Trademark Office record via Google Patents","url":"https://patents.google.com/patent/US11266355B2/en","source_class":"GOVERNMENT_OR_REGULATOR","claims_supported":["The issued patent constructs longitudinal time series for multiple physiological variables and forecasts deterioration by detecting a loss of stability described as a Hopf bifurcation.","The method is intended to detect bifurcation before the patient becomes noticeably unstable, supports irregularly sampled measurements, and can trigger caregiver notification or modification of treatment and monitoring.","Its claimed implementation aggregates per-variable ratios of RMSSD to standard deviation rather than eigendecomposing a multivariable patient-state transition operator."]},{"source_id":"S2","title":"Tracking Progression of Patient State of Health in Critical Care Using Inferred Shared Dynamics in Physiological Time Series","publisher":"IEEE Engineering in Medicine and Biology Society / MIT","url":"https://web.mit.edu/lilehman/www/EMBC2013_Lehman_etal.pdf","source_class":"PRIMARY_RESEARCH","claims_supported":["A switching vector-autoregressive framework represented physiological time series as segments governed by locally coherent linear dynamic modes.","In 337 ICU patients, time spent in learned blood-pressure modes was associated with mortality, and hourly updated mode-based risk reached performance comparable to SAPS-I after eight hours.","The authors identified real-time predictive alerts and comparison with existing monitoring techniques as future work; the study did not evaluate a general-ward eigenvalue-stability alert."]},{"source_id":"S3","title":"Detecting early-warning signals for sudden deterioration of complex diseases by dynamical network biomarkers","publisher":"Scientific Reports","url":"https://www.nature.com/articles/srep00342","source_class":"PRIMARY_RESEARCH","claims_supported":["The work derives a collective, multivariable early-warning index for imminent disease-state bifurcation rather than relying on individual biomarker thresholds.","Its theory explicitly characterizes bifurcation by an eigenvalue of the local Jacobian reaching unit modulus.","The demonstrations concern molecular networks and disease progression, not four-hourly ward vital signs, escalation alerts, or alert-burden-matched clinical evaluation."]},{"source_id":"S4","title":"Application of early warning signs to physiological contexts: a comparison of multivariate indices in patients on long-term hemodialysis","publisher":"Frontiers in Network Physiology","url":"https://www.frontiersin.org/journals/network-physiology/articles/10.3389/fnetp.2024.1299162/full","source_class":"PRIMARY_RESEARCH","claims_supported":["The study treats multivariate physiological variability, autocorrelation, cross-correlation, moving distance, and a PCA-derived variability component as early-warning indicators of loss of organismal stability.","It evaluates mortality prediction in a retrospective cohort of 763 long-term hemodialysis patients.","It reports context dependence and practical problems from temporal resolution and noise, supporting the need for sampling, residual, and validity safeguards but not disclosing the proposed ward operator-eigenmode implementation."]},{"source_id":"S5","title":"Visensia for early detection of deteriorating vital signs in adults in hospital: Technology overview","publisher":"National Institute for Health and Care Excellence","url":"https://www.nice.org.uk/advice/mib36/chapter/technology-overview","source_class":"OFFICIAL_GUIDANCE","claims_supported":["Visensia is an existing general-ward monitoring product that combines five vital signs into a continuously or periodically updated multivariate safety index and produces deterioration alerts.","The index is based on deviation from a population model of normality rather than growth or damping of eigenmodes from a locally estimated transition operator.","This establishes that multivariate ward-level physiological alerting is existing product practice, even though the nominated mathematical trigger differs."]},{"source_id":"S6","title":"National Early Warning Score (NEWS) 2","publisher":"Royal College of Physicians","url":"https://www.rcp.ac.uk/resources/national-early-warning-score-news-2/","source_class":"OFFICIAL_GUIDANCE","claims_supported":["NEWS2 assigns abnormality scores to six separately measured physiological parameters, adds points for supplemental oxygen, and aggregates the scores to trigger a standardized response.","NEWS2 is formally endorsed for identifying acutely ill hospital patients in England.","It is an appropriate incumbent comparator but does not estimate a patient-state transition operator or test modal stability."]},{"source_id":"S7","title":"The value of vital sign trends for detecting clinical deterioration on the wards","publisher":"Resuscitation / PubMed Central","url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC4834231/","source_class":"PRIMARY_RESEARCH","claims_supported":["In 269,999 admissions across five hospitals, incorporating vital-sign trends improved discrimination for cardiac arrest, ICU transfer, or death from AUC 0.74 to 0.78.","Slopes and recent extrema generally contributed more than simple change from the previous measurement.","The study supports the stated limitation of snapshot scores but uses engineered temporal features rather than an eigenvalue-defined instability trigger."]}],"proximity":"SUBSTANTIAL_COLLISION","closest_analogues":[{"name":"Hopf-bifurcation patient-deterioration early-warning patent","similarity":"Directly targets impending patient deterioration from longitudinal, multiple physiological variables, interprets the signal as loss of stability before overt abnormality, and initiates alerts or care changes within a clinically useful horizon.","remaining_difference":"It aggregates univariate ratio-of-deviation signals and does not claim a fitted multivariable transition matrix, eigenmode growth classification, or residual-and-spectral-drift abstention.","source_ids":["S1"]},{"name":"Switching linear physiological dynamics for ICU risk tracking","similarity":"Infers locally coherent linear dynamics, labels learned physiological modes by adverse-outcome association, and updates patient risk as mode occupancy changes.","remaining_difference":"It studied minute-level ICU blood pressure and mortality risk rather than a four-hourly multivariable ward operator whose eigenvalues directly trigger actionable escalation.","source_ids":["S2"]},{"name":"Dynamical network biomarker early warning","similarity":"Uses coupled variables and a Jacobian-eigenvalue account of critical transition to detect deterioration before conventional state biomarkers do.","remaining_difference":"The implemented index is correlation-and-variance based and was demonstrated on molecular disease data, not deployed ward physiology or rapid-response workflow.","source_ids":["S3"]},{"name":"Visensia multivariate general-ward safety index","similarity":"Operationally combines several ward vital signs into a single frequently updated deterioration alert intended for clinical response.","remaining_difference":"It scores distance from a population normality model rather than instability of a patient-local transition operator and lacks the nominated modal residual/drift abstention.","source_ids":["S5"]},{"name":"Multivariate critical-transition indicators in hemodialysis","similarity":"Empirically evaluates coupled physiological variability and PCA-derived indicators as warnings of declining systemic stability and mortality.","remaining_difference":"It addresses longer-horizon dialysis mortality, not acute inpatient transitions, operator eigenmodes, or escalation lead time at a controlled alert burden.","source_ids":["S4"]}],"overlapping_components":["Longitudinal physiological-state monitoring","Coupled or aggregated multivariable vital signs","Dynamic or locally linear physiological modes","Loss-of-stability or bifurcation framing","Early warning before conspicuous coordinate-level abnormality","Automated caregiver alert or treatment-response initiation","General-ward multivariate safety indexing","Temporal comparison against snapshot early-warning scores"],"remaining_contrastive_claim":"In four-hourly general-ward data, an alert driven specifically by unit-modulus crossing of an eigenmode from a locally estimated multivariable patient-state transition operator, with residual and spectral-drift abstention, will detect ICU transfer or emergency intervention at least two hours earlier than NEWS2 and non-modal temporal models at equal alerts per patient-day without reducing positive predictive value.","claim_falsifier":"The distinction would be falsified by a pre-existing publication, product, or patent that combines the same ward-level local transition-operator eigenvalue trigger with residual and mode-drift abstention; its performance claim would be falsified by an adequately powered external alert-burden-matched evaluation that misses either the two-hour lead-time gain or the no-loss-in-positive-predictive-value condition.","problem_support":"STRONG","recommendation":"REJECT","world_novelty_boundary":"This eight-query ordinary-web search found no evaluated general-ward system containing the complete operator-eigenmode-plus-abstention specification, but it did find an issued patent covering the broader stability/bifurcation-triggered physiological deterioration intervention, primary work on locally linear physiological modes and Jacobian-eigenvalue disease transitions, and an existing multivariate ward-alert product; therefore only the narrow implementation bundle remains unlocated, and no worldwide novelty is inferred from that bounded absence."}