This invention relates to a medical monitoring system, and in particular, a system for predicting physiological arrhythmias. In a preferred embodiment, the invention comprises an ambulatory health monitoring and alarm system which utilises non-linear analysis of acquired electrocardiographic data in real time, and the generation of an alarm state or risk quantification for impending arrhythmia.
However, the scope of the invention is not necessarily limited thereto. Physiological time series data other than electrocardiographic signals can be subject to such analysis with the aim of predicting the likelihood of relevant system instability. Moreover, the invention may be embodied in ambulatory, implanted or fixed-bedside devices, as well as in post hoc analysis.
[Mere reference to background art herein should not be construed as an admission that such art constitutes common general knowledge or prior art in relation to this application.]
Electrocardiographic (ECG) ambulatory monitoring systems are used to acquire signal for immediate analysis or post hoc analysis for the purpose of medical diagnosis, or the monitoring of medical management of cardiovascular disease whether by surgery, pharmaceutical or pacemaker means. Recording units typically acquire signal through a plurality of leads and electrodes applied to the subject, amplify and filter the acquired data, and store it in an analog fashion on magnetic tape, or in digitised form in an electronic storage medium.
Due to the limitations in memory size, it is commonplace to compress such data and consequently suffer loss in fidelity of that which is recorded. Analog recording systems require the replay of magnetic tape in order to view and analyse data retrospectively. This is time consuming and can also reduce the fidelity of the replayed data.
Analysis of recorded signals is largely limited to categorisation of abnormal beats or rhythm and measurement of their frequency during a period, typically 24 hours. Direct comparison techniques are used to diagnose these types of abnormalities. Average or instantaneous heart rates are used as primary measures for diagnosis.
It is recognised that the means by which heart rate is controlled cannot be adequately explained by control systems based on weighted linear combinations of physiological inputs. The non-linear behaviour of heart rate variability has been recognised as exhibiting chaotic features recognisable through mathematical techniques developed for such systems. Furthermore, the absolute value of chaotic parameters or changes therein can be markers of illness or dynamic state changes related to, or predisposing one to, illness.
There exist specific algorithms or methods of analysis, which are based on the non-linear behaviour of the derived signal. The chaotic nature of a time series signal can be characterised by a suite of measures with applicability to the clinical state of the subject. Well controlled acquisition of heart rate data has led to the acceptance of such measures in medical disciplines, in particular the field of cardiology.
A shortcoming of many methods of non-linear analysis is the susceptibility of the technique to noise (of any source) and non-stationarity of the dynamic control. The term “non-stationarity” refers to the change of control state over the period of data capture. If the “rules” governing heart rate regulation change, then such methods used for analysis of the signal are flawed. One recent technique, which combats this shortcoming, is a method of recurrence analysis1 based upon the embedding of time series data, and a multi-dimensional vector is then used to represent the control state of the dynamic system (such as heart rate regulation) as a vector quantity in multi-dimensional space. The predictive value of the recurrence plot in isolation has been acknowledged and described by others2. The predictive value of another non-linear technique, specifically, using Poincare plots of the cardiotachogram has also been disclosed3. Beat to beat interval time series is the primary data source but the multidimensional embedding process is not performed in this technique.
The fundamental mathematical theory underling Recurrence Qualification Analysis (RQA) has been disclosed4. If the experimental data series are (x(1), x(2), x(3), x(4), x(M)}, the recurrence plot (RP) can be expressed as an array in a N×N dimension
R(i,j)=Θ(ε−|Y(i)−Y(j)|) (1)
where ε is the normalised Euclidean threshold; Y is the phase space vector and Θ is the Heaviside function.
Y(i)={x(i), x(i−τ), . . . , x(i−(dE−1).τ)} (2)
Y(j)={x(j), x(j−τ), . . . , x(j−(dE−1).τ)} (3)
where τ is the “lag” parameter.
An additional parameter which may be derived from the RP is defined as the Euclidean threshold at a given recurrence rate (REC εthresh)). This value is a measure of the minimal Euclidean distance at which E must be set to achieve a prescribed recurrence rate. It can be seen that the recurrence is a function of the chosen ε as per equation 4 below
REC=f(ε) (4)
It can be shown that the inverse of the above equation cannot be found due to the undefined dynamic behaviour of the data. In order to find the minimal ε which will generate a given REC, a numerical solution must be employed. The monotonic relationship between REC and ε permit the use of the bisection method whereby an initial “seed” value for ε is applied to the data using the RP and resulting REC observed. Subsequent ε values are the bisection of the distance between current value and the boundary of the interval over which the search is performed.
It is found that this embedded vector representing the dynamic behaviour of the physiology migrates over time, but revisits regions of this space. Should such recurrences or revisitations occur in a consecutive sequential fashion, it is indicative of rule obeying dynamic control being expressed in the time series. This behaviour can be objectively quantified from the recurrence matrix and used as a marker of health or illness expressed through physiological control. Studies performed on defined cardiac and respiratory illness have demonstrated the benefit of recurrence analysis in revealing behaviour not seen in conventional analysis.
Specifically, the measure of determinism or rule obeying behaviour can indicate the physiological state of the subject based upon beat-to-beat variability of heart rate or breathing rate. RP provides measurable parameters concerning the properties of a deterministic chaotic system. One of its advantages as an analysis tool is that it does not require long experimental data series to capture chaotic properties. Based on the recurrence plot (RP), recurrence qualification analysis (RQA) was developed as a tool to measure these chaotic properties quantitatively. It has been observed that RP appears to “mirror” the beat to beat interval changes by the recurrences. It has also been found that determinism changes reflect the different physiological stages of an experimental heart rate observation experiment.
Recurrence plots have been applied to the quantification of various physiological parameters such as respiration5 or muscle activity derived from electromyographic signals (EMG)6. It is the common conclusion from such work that changes in the control system dynamics often precede any observation of system change seen in the simple time series data.
In the RQA method, determinism (DET), laminarity (LAM) and recurrence (REC) represent three important dynamic properties. REC, or recurrence rate, is the density of recurrence points and quantifies the percentage of recurring points in the RP. A recurrence point implies that the dynamic state difference of two points falls within a relatively low range (Euclidean threshold) in phase space. For a chaotic system, when the dynamic is visiting a region of an attractor, its dynamic behaviour follows a certain pattern and maintains a similar pattern when revisiting the same region of the attractor. This kind of revisiting normally results in a diagonal line in the RP.
DET (the percentage of the recurrence points forming the diagonal line points) represents the frequency of repetition of certain patterns in the experimental series. Vertical and horizontal lines result when a relatively “quiet” section or laminar state (LAM) in the experimental series exists, and are quantified in a similar fashion to determinism. Observations of RPs derived from heart rate variability series reveal that the DET, LAM and REC are closely correlated to each other.
A refined measure of REC is the derivation of the Euclidean threshold (εthresh) at a given recurrence rate. This value represents the minimal distance criterion used to judge the co-occurrence or recurrence of vectors in high dimensional space. εthresh is thereby a value, reflecting the proximity of the vectors Y(i) and Y(j) in space. It will have the units of the inverse period of the data (beats per minute).
When the heart rate control system transits from one state to another, i.e. from resting to exercising, the DET, LAM and REC will vary corresponding to the transition. In some cases, this transition follows a pattern and the same pattern repeats when a similar transition reoccurs. The physiological meaning of DET and LAM may vary due to the variation of the REC. For example, if the REC in a local area is elevated, an elevated DET and LAM will be found, but the significance of these values (DET and LAM alone) is questionable.
The rich structures in the RP contain more information than the averaged values of DET, LAM and REC when viewed over the entire RP.
Such a method as recurrence quantification can be implemented on a personal computer for analysis of signals in a post hoc fashion. However, the nature of the calculations and memory requirement preclude the use of such a technique in an ambulatory or implantable device.
It is an aim of this invention to combine the DET, LAM and REC properties of recurrence plots in a new manner, to give advantageous diagnostic and predictive indicators.
It is a preferred aim of this invention to provide a medical monitoring system which incorporates such a technique in an ambulatory, fixed or implanted device and performs recurrence analysis in a real time fashion. Such a technique will thereby permit an alarm or alert function to be implemented with benefit for both subjects and clinicians
In a broad form, the invention provides a method of processing or analysing biological data acquired from a subject to assess the physiological state of the subject, and/or to assist in predicting incipient disorders or instability in the short or long term, the method comprising the steps of:
obtaining a time series of said data from the subject;
deriving determinism, laminarity and recurrence measures for a rolling sample of said data;
forming a representation of a combination of the derived determinism, laminarity and recurrence measures; and
analysing the representation to detect indicators of instability in the physiological state of the subject.
Preferably, the recurrence measure is the Euclidean threshold (εthresh) at a given recurrence rate.
The rolling sample is a moving “window” or meta-window of data. This enables the technique to be applied in real time.
The deriving step includes forming a recurrence plot, from which determinism, laminarity and recurrence are derived. By using a combination of the derived determinism, laminarity and recurrence measures, a more reliable indication of likely instability is obtained.
Preferably, the determinism, laminarity and recurrence measures are combined in a colour-encoded matrix, to facilitate its analysis. However, other representations of the combined determinism, laminarity and recurrence measures, such as the εthresh may be employed.
The analysing step may be performed manually, i.e. visually, or by suitable pattern recognition software, to detect patterns and/or colours indicative of incipient instability in the physiological state of the subject.
Typically, the analytical technique of this invention is applied to heart rate data obtained using a single lead surface electrocardiogram (ECG). However, although the primary data series used by way of example in this invention is heart beat-to-beat interval (cardio-tachogram), the invention is not limited to human cardiac signal analysis. The technique can be applied to other physiological signals.
Preferably, the invention is embodied in an ambulatory device, such as a Holter type monitor. Alternatively, the invention can be embodied in a stationary (bedside) monitor system. In one particular application, the technique of the invention is integrated into the function of an implantable cardioversion device (ICD). The ICD can deliver a direct current defibrillation shock responsive to the outcome of the method described above.
In another form, the invention provides apparatus for processing biological data acquired from a subject to assess the physiological state of the subject, and/or to assist in predicting incipient disorders or instability in the short or long term, comprising sensing means for obtaining a time series of said data from the subject;
processing means for deriving determinism, laminarity and recurrence measures for a rolling sample of said data; and
means for forming a representation of a combination of the derived determinism, laminarity and recurrence measures, for analysis.
The apparatus may also include means for automated analysis of the representation of the combined determinism, laminarity and recurrence measures, and alarm means responsive to the analysis means for signalling an alarm condition upon detection in the representation of an indication of incipient instability in the physiological state of the subject.
The apparatus may be embodied in an ambulatory device, such as a Holter type monitor. Alternatively, the invention can be embodied in a stationary (bedside) monitor system, or an implantable cardioversion device (ICD).
This invention is therefore based on the recognition that non-linear analysis, and in particular, a combination of determinism, laminarity and recurrence measures, is a better descriptor of the behaviour of cardiovascular control and has predictive capabilities with respect to dangerous arrhythmias and/or asystole. The invention enables the implementation of such analyses in real time or in post hoc analysis.
In order that the invention may be more readily understood and put into practice, one or more preferred embodiments thereof will now be described, by way of example only, with reference to the accompanying drawings.
The basis of the method of the preferred embodiment of the invention commences with the construction of a recurrence matrix or recurrence plot (RP). To enable maximum information to be derived from the RP, a new 2 dimensional derivative matrix of the RP is used. This matrix is constructed on the basis of the individual values for determinism, laminarity and recurrence (DLR) at every point in the existing RP. The structure and colour of this “DLR” matrix can be interpreted to reveal indicative physiological state changes.
The construction of the DLR is governed by the equations below.
The DLR RP is actually the distribution of the two dimensional trends of DET, LAM and RR, which are presented by combined colours. The two dimensional trends DLR(i,j) can be expressed as:
where
By extracting a specific colour, certain dynamic behaviour can be extracted in terms of the densities of the RP dots, recurrences and laminar states. The two colours extracted in
An RP derived from a subject progressing from normal sinus rhythm into ventricular tachycardia (VT) is shown in
In a first embodiment, a fixed system in which biosignals representative of heart rate are digitised, stored and analysed using the DLR method is implemented as per the flowchart of
A second embodiment is optimised for ambulatory or portable use. The purpose of such a device is primarily for alarming the subject and/or clinician of the incipient risk of potentially dangerous rhythms. A storage function allows post hoc analysis and archived alarm states to be retrieved for review and the exercising of therapeutic options.
The ambulatory recording device is formed in the shape shown in
The display can show real time signal as well as confirm operating status to the user.
The device can be operated by firmware to carry out the two general roles of managing an operating system and recording, as well as analysis in which an implementation of recurrence analysis is operating.
A signal acquired from a periodic biosignal such as heartbeat or pneumogram is differentiated and compared to a threshold to produce a signal in synchrony with the normal heart beat or similar physiological variable. The interval between these events is the primary data source for application to the recurrence algorithm. Embedding of this signal is performed by the creation of a kernel consisting of an array of m samples. The choice of the value of m is governed by a general relationship:
m=2n+1 (11).
where n is the number of governing inputs influencing the dynamic controller. In a typical case this may be 6. Empirically it may found that disease states are characterised adequately by low-dimensional dynamics. In this case an embedding dimension of 2 or 3 may be used with success.
The kernel of m samples is updated with the acquisition of each subsequent beat-to-beat interval. The vector produced from this data set is compared with previous vectors to predefined period back in time. The duration of data used for this determination is based on the difference in relative frequency of state changes due to natural controller migration and the onset of potentially dangerous rhythms. This value is determined in an empirical fashion. A moving window of the data is thus recurrence tested and the derived measures of recurrence, determinism and laminarity recorded.
In this manner, the requirement for a massive memory space in which to analyse a 24 hour heart rate record is avoided. Such a technique can now be implemented in an embedded processor and housed in a physical form suitable for an ambulatory monitor.
A string of recurrences will represent the dynamic system following a rule for the period of such a string of values. It is known that such behaviour can be the basis of a diagnostic process.
The DLR matrix resultant from analysis of heart rate recordings can be seen to contain patterns and texture qualities which signify dynamic changes prior to the onset and during the occurrence of a ventricular tachycardia.
The patterns within the DLR matrix as illustrated in
Patterns observed in the DLR matrix can be used as a basis for discrimination between arrhythmias. The patterning of the dynamic control of heart rate is then a possible diagnostic feature.
Some of the pattern recognition techniques referred to above may not be ideally suited to the implementation of this invention in a portable or ambulatory device due to processing and memory constraints. A simpler technique not based on pattern recognition is described below and is used in an analysis of sixteen cardiotachograms from which ventricular tachycardia ensues.
To demonstrate the efficacy of the DLR method, periods which generate a DLR pixel in a specified RGB window, are detected. Such a technique can thereby detect dynamic behaviour typified by any combination of determinism, laminarity or recurrence. A meta-window of typically 100 beats is examined as it moves along the time series. A determination of Euclidean threshold (Ethresh) is performed for a given recurrence rate. A value of 10% is an appropriate value for this rate as it reflects local recurrences6. εthresh is seeded with a finite value and successive approximations made until the recurrence rate of 10+/−1% is obtained. This minimal Euclidean distance is then the representation of the recurrence behaviour for that 100 value window. Laminarity and determinism estimates from the 100 beat window are also performed. The combination of determinism, laminarity and recurrence behaviour as expressed by its Euclidean threshold can be used as a discriminator for the purpose of detecting heart rate dynamics associated with arrhythmia.
By means of this summary result, it can be seen that such a non-linear technique can exhibit prediction or generate a likelihood of ensuing instability at varying durations prior to the event. Although the primary data series used for this illustration is derived from heart rate, it is entirely possible that other physiological time series can be applied in a similar fashion with similar predictive properties. Alarm states or clinical action can then occur on the basis of such a result. The algorithm may be implemented in a post hoc fashion or real-time in an ambulatory device or fixed monitor. It is well known that implanted cardiac devices such as pacemakers and implantable cardioversion devices contain hardware for recording and analysing heart rate and breathing rate signals. The programmable nature of such devices would permit the embodiment of the algorithms described herein for the purpose of generating alarm states and exercising therapeutic actions such as pacing and/or defibrillation pulses.
The foregoing embodiments are illustrative only of the principles of the invention, and various modifications and changes will readily occur to those skilled in the art. The invention is capable of being practiced and carried out in various ways and in other embodiments. It is also to be understood that the terminology employed herein is for the purpose of description and should not be regarded as limiting.
Analysis of 6, records of sinus rhythm progressing to ventricular tachycardia are summarised in table 1 below. The method of analysis is based on the DLR plot and algorithm described in
Mean REC εthresh and standard deviation for normal sinus rhythm data of equal time duration from 10 subjects of similar age distribution analysed on the basis of a 10% recurrence rate, Wmin=4 and Vmin=4 were 2.0 (6.9) BPM. DET and LAM were 20% (5.9) and 19% (1.5) respectively. The mean of the 16 equivalent values for analysis prior to ventricular tachycardia were REC εthresh 3 BPM, DET 46% and LAM 65%. The difference between distributions of the 16 VT subjects were significantly different (p<0.01) to the mean values from normal sinus rhythm data (t>3.05). This result shows the possibility of discrimination between normal beat-beat variation and beat-beat variation present prior to the onset of a potentially hazardous arrhythmia.
Number | Date | Country | Kind |
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2004905325 | Sep 2004 | AU | national |
Filing Document | Filing Date | Country | Kind | 371c Date |
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PCT/AU05/00839 | 6/10/2005 | WO | 00 | 6/13/2007 |