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US20160089048A1 - Time transformation of local activation times - Google Patents

Time transformation of local activation times
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US20160089048A1
US20160089048A1US14/497,162US201414497162AUS2016089048A1US 20160089048 A1US20160089048 A1US 20160089048A1US 201414497162 AUS201414497162 AUS 201414497162AUS 2016089048 A1US2016089048 A1US 2016089048A1
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signal
channel
lat
values
channels
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Donald Brodnick
Jasbir Sra
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APN Health LLC
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Abstract

An automatic method of determining local activation time (LAT) from at least four multi-channel cardiac electrogram signals including a ventricular channel, a mapping channel and a plurality of reference channels. The method comprises (a) storing the cardiac channel signals, (b) using the ventricular and mapping channel signals and a first reference channel signal to compute LAT values at a plurality of mapping-channel locations, (c) monitoring the timing stability of the first reference channel signal, and (d) if the timing stability of the monitored signal falls below a stability standard, using the signal of a second reference channel to determine LAT values. Substantial loss of LAT values is avoided in spite of loss of timing stability.

Description

Claims (27)

1. An automatic method of determining local activation time (LAT) from at least four multi-channel cardiac electrogram signals including a ventricular channel, a mapping channel and a plurality of reference channels, the method comprising:
storing the cardiac channel signals;
using the ventricular and mapping channel signals and a first reference channel signal to compute LAT values at a plurality of mapping-channel locations;
monitoring the timing stability of the first reference channel signal; and
if the timing stability of the monitored signal falls below a timing-stability standard, using a second reference channel signal to determine LAT values and avoid substantial loss of LAT values in spite of loss of timing stability.
2. The automatic LAT-determining method ofclaim 1 further including computing one or more timing offsets using pairs of the plurality of reference channel signals, a timing offset being LATK(J), the local activation time of a reference channel J based on a reference channel K and used to transform an LAT value based on reference channel J to an LAT value based on reference channel K.
3. The automatic LAT-determining method ofclaim 2 wherein using the second reference channel signal to determine LAT values includes transforming future LAT values such that they are based on the first reference channel.
4. The automatic LAT-determining method ofclaim 3 wherein:
LAT2(M) is a future LAT value of mapping channel M based on the second reference channel; and
future transformed values LAT1(M) of mapping channel M based on the first reference channel are equal to a timing offset LAT1(2) plus LAT2(M).
5. The automatic LAT-determining method ofclaim 2 wherein using the second reference channel signal to determine LAT values includes transforming past LAT values such that they are based on the second reference channel.
6. The automatic LAT-determining method ofclaim 5 wherein:
LAT1(M) is a past LAT value of mapping channel M based on the first reference channel; and
past transformed values LAT2(M) of mapping channel M based on the second reference channel are equal to a timing offset LAT2(1) plus LAT1(M).
7. The automatic LAT-determining method ofclaim 2 wherein the one or more timing offsets are computed at a plurality of times, and the value of each timing offset is replaced with its average over the plurality of times.
8. The automatic LAT-determining method ofclaim 7 wherein the average is computed over a predetermined number of times.
9. The automatic LAT-determining method ofclaim 2 wherein monitoring the timing stability of the first reference channel signal includes monitoring multiple timing offsets LAT1(X) where X represents the channels with which timing offsets with the first reference channel are computed.
10. The automatic LAT-determining method ofclaim 9 further including computing a signal characteristic for the plurality of reference channels and determining therefrom which one or more channels among these reference channels has/have not lost timing stability.
11. The automatic LAT-determining method ofclaim 10 further including selecting the second reference channel signal from channels which have not lost timing stability.
12. The automatic LAT-determining method ofclaim 11 wherein selecting the second reference channel signal from channels which have not lost timing stability includes computing signal quality.
13. The automatic LAT-determining method ofclaim 10 wherein computing a signal characteristic of a signal includes computing the frequency content of the signal.
14. The automatic LAT-determining method ofclaim 13 wherein computing the frequency content of the signal includes computing a Fourier transform for a predetermined time period of the signal.
15. The automatic LAT-determining method ofclaim 13 wherein computing the frequency content of the signal includes computing a fast Fourier transform for a predetermined time period of the signal.
16. The automatic LAT-determining method ofclaim 15 wherein the computed signal characteristic is the first moment of the signal power determined from the fast Fourier transform.
17. The automatic LAT-determining method ofclaim 15 wherein the signal is segmented into a plurality of time-overlapping segment signals.
18. The automatic LAT-determining method ofclaim 17 wherein weightings are applied to each of the segment signals.
19. The automatic LAT-determining method ofclaim 18 wherein computing the fast Fourier transform of the signal includes (a) computing a signal-segment fast Fourier transform for each segment signal and (b) averaging each such signal-segment fast Fourier transform to form the fast Fourier transform of the signal.
20. The automatic LAT-determining method ofclaim 19 wherein the computed signal characteristic is the first moment of the signal power determined from the fast Fourier transform of the signal.
21. The automatic LAT-determining method ofclaim 13 wherein computing the frequency content of the signal includes computing a Haar transform for a predetermined time period of the signal.
22. The automatic LAT-determining method ofclaim 21 wherein the computed signal characteristic is the first moment of the signal power determined from the computed Haar transform.
23. The automatic LAT-determining method ofclaim 21 wherein the signal is segmented into a plurality of substantially-sequential segment signals.
24. The automatic LAT-determining method ofclaim 23 wherein computing the Haar transform of the signal includes (a) computing Haar transform coefficients for each segment signal, (b) computing absolute values of the coefficients, (c) computing a set of frequency-selective aggregate magnitudes for each segment signal by summing signal-segment Haar transform coefficients having like time scales, and (d) averaging the sets of frequency-selective aggregate magnitudes to form a single set of frequency-selective aggregate magnitudes for the signal.
25. The automatic LAT-determining method ofclaim 24 wherein the computed signal characteristic is the first moment of the signal power determined from the frequency-selective aggregate magnitudes.
26. The automatic LAT-determining method ofclaim 10 wherein the computed signal characteristic is the fraction of time within a predetermined time period of the signal at which the absolute value of signal velocity is above a predetermined threshold.
27. The automatic LAT-determining method ofclaim 10 wherein the computed signal characteristic is the maximum signal amplitude minus the minimum signal amplitude within a predetermined time period of the signal.
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Cited By (13)

* Cited by examiner, † Cited by third party
Publication numberPriority datePublication dateAssigneeTitle
US20160106376A1 (en)*2014-10-152016-04-21St. Jude Medical, Cardiology Division, Inc.Methods and Systems for Mapping Local Conduction Velocity
US20170014042A1 (en)*2015-07-142017-01-19University Of TsukubaElectrocardiogram analyzer
WO2017156008A1 (en)*2016-03-072017-09-14Apn Health, LlcTime transformation of local activation times
US9888860B2 (en)2015-09-022018-02-13St. Jude Medical, Cardiology Division, Inc.Methods and systems for identifying and mapping cardiac activation wavefronts
US20180104502A1 (en)*2016-10-182018-04-19Cardiac Pacemakers, Inc.Systems and methods for arrhythmia detection
CN109803580A (en)*2016-09-282019-05-24私人麦德系统有限公司The monitoring of bio signal, especially electrocardiogram
EP3669767A1 (en)2018-12-202020-06-24Biosense Webster (Israel) Ltd.Visualization of different cardiac rhythms using different timing-pattern displays
EP3878365A1 (en)2020-03-122021-09-15Biosense Webster (Israel) Ltd.Adjusting annotation points in real time
US11147497B2 (en)*2019-11-282021-10-19Biosense Webster (Israel) Ltd.Mapping local activation times for sinus and non-sinus cardiac cycles
US20220000382A1 (en)*2020-07-012022-01-06Biosense Webster (Israel) Ltd.Analyzing Multi-Electrode Catheter Signals to Determine Electrophysiological (EP) Wave Propagation Vector
US11366991B2 (en)2019-11-052022-06-21Biosense Webster (Israel) LtdOptimizing mapping of ECG signals retrospectively by detecting inconsistency
US12262999B2 (en)2019-11-052025-04-01Biosense Webster (Israel) Ltd.Using statistical characteristics of multiple grouped ECG signals to detect inconsistent signals
US12303281B2 (en)2020-07-012025-05-20Biosense Webster (Israel) Ltd.Mapping resolution of electrophysiological (EP) wave propagating on the surface of patient heart

Families Citing this family (3)

* Cited by examiner, † Cited by third party
Publication numberPriority datePublication dateAssigneeTitle
US10258302B2 (en)2017-04-132019-04-16Apn Health, LlcRapid 3D cardiac parameter mapping
US10561380B2 (en)2017-05-022020-02-18Apn Health, LlcDetermining and displaying the 3D location and orientation of a cardiac-ablation balloon
CN111772626A (en)*2020-07-062020-10-16华中科技大学 An ECG recording module based on big data algorithm

Family Cites Families (55)

* Cited by examiner, † Cited by third party
Publication numberPriority datePublication dateAssigneeTitle
US4240442A (en)1979-01-051980-12-23American Optical CorporationVariable threshold R-wave detector
US4374382A (en)1981-01-161983-02-15Medtronic, Inc.Marker channel telemetry system for a medical device
US4583553A (en)1983-11-151986-04-22Medicomp, Inc.Ambulatory ECG analyzer and recorder
US5365426A (en)1987-03-131994-11-15The University Of MarylandAdvanced signal processing methodology for the detection, localization and quantification of acute myocardial ischemia
JPH03228745A (en)1990-02-051991-10-09Toshiba Corp MRI machine
US5117824A (en)1990-11-141992-06-02Medtronic, Inc.Apparatus for monitoring electrical physiologic signals
FR2705576B1 (en)1993-05-281995-07-07Ela Medical Sa A method of analyzing cardiac activity to determine whether a tachyarrhythmia is likely to be stopped by stimulation.
US5391199A (en)1993-07-201995-02-21Biosense, Inc.Apparatus and method for treating cardiac arrhythmias
EP0638869B1 (en)1993-08-131995-06-07Siemens AktiengesellschaftProcedure for a high-resolution spectral analysis for multichannel observations
US5560368A (en)1994-11-151996-10-01Berger; Ronald D.Methodology for automated QT variability measurement
EP0801539A1 (en)1994-12-281997-10-22Luc Prof. Dr. HondeghemA device and a method for recording and monitoring cardiac activity signals
US5853364A (en)1995-08-071998-12-29Nellcor Puritan Bennett, Inc.Method and apparatus for estimating physiological parameters using model-based adaptive filtering
US5701907A (en)1996-12-161997-12-30Hewlett-Packard CompanyElectrocardiographic waveform monitoring method and system
US6301496B1 (en)1998-07-242001-10-09Biosense, Inc.Vector mapping of three-dimensionally reconstructed intrabody organs and method of display
US6370423B1 (en)1998-10-052002-04-09Juan R. GuerreroMethod for analysis of biological voltage signals
US6236883B1 (en)1999-02-032001-05-22The Trustees Of Columbia University In The City Of New YorkMethods and systems for localizing reentrant circuits from electrogram features
US6556860B1 (en)2000-03-152003-04-29The Regents Of The University Of CaliforniaSystem and method for developing a database of body surface ECG flutter wave data maps for classification of atrial flutter
DE10105431A1 (en)2001-02-072002-08-08Biotronik Mess & Therapieg Signal evaluation method for the detection of QRS complexes in electrocardiogram signals
US20020165585A1 (en)2001-05-012002-11-07Dupelle Michael R.Pulse sensors
US6526313B2 (en)2001-06-052003-02-25Cardiac Pacemakers, Inc.System and method for classifying cardiac depolarization complexes with multi-dimensional correlation
US20030216654A1 (en)2002-05-072003-11-20Weichao XuBayesian discriminator for rapidly detecting arrhythmias
US7139605B2 (en)2003-03-182006-11-21Massachusetts Institute Of TechnologyHeart rate monitor
US7107093B2 (en)2003-04-292006-09-12Medtronic, Inc.Use of activation and recovery times and dispersions to monitor heart failure status and arrhythmia risk
US7792571B2 (en)2003-06-272010-09-07Cardiac Pacemakers, Inc.Tachyarrhythmia detection and discrimination based on curvature parameters
US7593772B2 (en)2004-04-302009-09-22Lawrence Duane ShermanMethods and devices to characterize the probability of successful defibrillation and determine treatments for ventricular fibrillation
US7364550B1 (en)2004-06-172008-04-29Pacesetter, Inc.Method and device for motion and noise immunity in hemodynamic measurement
CA2481631A1 (en)2004-09-152006-03-15Dspfactory Ltd.Method and system for physiological signal processing
WO2006066324A1 (en)2004-12-212006-06-29Sydney West Area Health ServiceAutomated processing of electrophysiological data
US7283870B2 (en)2005-07-212007-10-16The General Electric CompanyApparatus and method for obtaining cardiac data
US7561912B2 (en)2005-09-192009-07-14Cardiac Pacemakers, Inc.Use of periodicity in medical data analysis
CA2635746C (en)2006-01-122017-01-10Arrow International, Inc.Adaptive real time ecg triggering and uses thereof
US7751873B2 (en)2006-11-082010-07-06Biotronik Crm Patent AgWavelet based feature extraction and dimension reduction for the classification of human cardiac electrogram depolarization waveforms
US7765002B2 (en)2006-12-082010-07-27Cardiac Pacemakers, Inc.Rate aberrant beat selection and template formation
JP5275340B2 (en)2007-05-082013-08-28シー・アール・バード・インコーポレーテッド Rapid 3D mapping using multi-electrode position data
US9757036B2 (en)*2007-05-082017-09-12Mediguide Ltd.Method for producing an electrophysiological map of the heart
EP2047794B1 (en)2007-10-112012-02-29LiDCO Group PLCHemodynamic monitor
US8041417B2 (en)2008-01-252011-10-18University Of Southern CaliforniaMethod and system for dynamical systems modeling of electrocardiogram data
US8301219B2 (en)2008-07-162012-10-30The General Hospital CorporationPatient monitoring systems and methods
US8478393B2 (en)2008-11-102013-07-02Cardioinsight Technologies, Inc.Visualization of electrophysiology data
US8326419B2 (en)2009-04-072012-12-04Pacesetter, Inc.Therapy optimization via multi-dimensional mapping
WO2011013048A1 (en)2009-07-312011-02-03Koninklijke Philips Electronics N.V.Method and apparatus for the analysis of a ballistocardiogram signal
WO2011015935A1 (en)2009-08-032011-02-10Diacoustic Medical Devices (Pty) LtdMedical decision support system
US10624553B2 (en)2009-12-082020-04-21Biosense Webster (Israel), Ltd.Probe data mapping using contact information
WO2011088043A1 (en)2010-01-122011-07-21Cardiac Pacemakers, Inc.Use of significant point methodology to prevent inappropriate therapy
US8634902B2 (en)2010-05-112014-01-21Pacesetter, Inc.Cardiac analysis system for comparing clinical and induced ventricular tachycardia events
US8706215B2 (en)2010-05-182014-04-22Zoll Medical CorporationWearable ambulatory medical device with multiple sensing electrodes
US8340766B2 (en)2010-10-072012-12-25St. Jude Medical, Atrial Fibrillation Division, Inc.Method and system for identifying cardiac arrhythmia driver sites
EP2447866A1 (en)2010-10-272012-05-02Koninklijke Philips Electronics N.V.Method for determining a feature of the circadian rhythm of a subject
US9161705B2 (en)2010-12-072015-10-20The Board Of Regents Of The University Of Texas SystemMethod and device for early detection of heart attack
US9277872B2 (en)2011-01-132016-03-08Rhythmia Medical, Inc.Electroanatomical mapping
CN103718191B (en)2011-05-022018-02-02加利福尼亚大学董事会 Systems and methods for targeting cardiac rhythm disorders using shaping ablation
US8798731B2 (en)2011-07-292014-08-05Pacesetter, Inc.Devices, systems and methods to perform arrhythmia discrimination based on the atrial and ventricular activation times
US8849388B2 (en)2011-09-082014-09-30Apn Health, LlcR-wave detection method
US20130345583A1 (en)2012-06-202013-12-26Boston Scientific Scimed, Inc.Suppression of global activity during multi-channel electrophysiology mapping using a whitening filter
US8812091B1 (en)2013-03-152014-08-19Apn Health, LlcMulti-channel cardiac measurements

Cited By (26)

* Cited by examiner, † Cited by third party
Publication numberPriority datePublication dateAssigneeTitle
US9474491B2 (en)*2014-10-152016-10-25St. Jude Medical, Cardiology Division, Inc.Methods and systems for mapping local conduction velocity
US11179112B2 (en)2014-10-152021-11-23St. Jude Medical, Cardiology Division, Inc.Methods and systems for mapping local conduction velocity
US9872653B2 (en)2014-10-152018-01-23St. Jude Medical, Cardiology Division, Inc.Methods and systems for mapping local conduction velocity
US20160106376A1 (en)*2014-10-152016-04-21St. Jude Medical, Cardiology Division, Inc.Methods and Systems for Mapping Local Conduction Velocity
US10512435B2 (en)2014-10-152019-12-24St. Jude Medical, Cardiology Division, Inc.Systems for mapping local conduction velocity
US10517495B2 (en)*2015-07-142019-12-31University Of TsukubaElectrocardiogram analyzer
US20170014042A1 (en)*2015-07-142017-01-19University Of TsukubaElectrocardiogram analyzer
US9888860B2 (en)2015-09-022018-02-13St. Jude Medical, Cardiology Division, Inc.Methods and systems for identifying and mapping cardiac activation wavefronts
US11672460B2 (en)2015-09-022023-06-13St. Jude Medical, Cardiology Division, Inc.Methods and systems for identifying and mapping cardiac activation wavefronts
US10687721B2 (en)2015-09-022020-06-23St. Jude Medical, Cardiology Division, Inc.Methods and systems for identifying and mapping cardiac activation wavefronts
WO2017156008A1 (en)*2016-03-072017-09-14Apn Health, LlcTime transformation of local activation times
US10357168B2 (en)2016-03-072019-07-23Apn Health, LlcTime transformation of local activation times
CN109803580A (en)*2016-09-282019-05-24私人麦德系统有限公司The monitoring of bio signal, especially electrocardiogram
US10744334B2 (en)*2016-10-182020-08-18Cardiac Pacemakers, Inc.Systems and methods for arrhythmia detection
US20180104502A1 (en)*2016-10-182018-04-19Cardiac Pacemakers, Inc.Systems and methods for arrhythmia detection
EP3669767A1 (en)2018-12-202020-06-24Biosense Webster (Israel) Ltd.Visualization of different cardiac rhythms using different timing-pattern displays
US11006886B2 (en)2018-12-202021-05-18Biosense Webster (Israel) Ltd.Visualization of different cardiac rhythms using different timing-pattern displays
US11366991B2 (en)2019-11-052022-06-21Biosense Webster (Israel) LtdOptimizing mapping of ECG signals retrospectively by detecting inconsistency
US11844617B2 (en)2019-11-052023-12-19Biosense Webster (Israel) Ltd.Optimizing mapping of ECG signals retrospectively by detecting inconsistency
US12262999B2 (en)2019-11-052025-04-01Biosense Webster (Israel) Ltd.Using statistical characteristics of multiple grouped ECG signals to detect inconsistent signals
US11147497B2 (en)*2019-11-282021-10-19Biosense Webster (Israel) Ltd.Mapping local activation times for sinus and non-sinus cardiac cycles
EP3878365A1 (en)2020-03-122021-09-15Biosense Webster (Israel) Ltd.Adjusting annotation points in real time
US20220000382A1 (en)*2020-07-012022-01-06Biosense Webster (Israel) Ltd.Analyzing Multi-Electrode Catheter Signals to Determine Electrophysiological (EP) Wave Propagation Vector
US11730413B2 (en)*2020-07-012023-08-22Biosense Webster (Israel) Ltd.Analyzing multi-electrode catheter signals to determine electrophysiological (EP) wave propagation vector
US12303281B2 (en)2020-07-012025-05-20Biosense Webster (Israel) Ltd.Mapping resolution of electrophysiological (EP) wave propagating on the surface of patient heart
US12350057B2 (en)2020-07-012025-07-08Biosense Webster (Israel) Ltd.Analyzing multi-electrode catheter signals to determine electrophysiological (EP) wave propagation vector

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