WO1997037591A1 - Non-invasive monitoring of hemodynamic parameters using impedance cardiography - Google Patents
Non-invasive monitoring of hemodynamic parameters using impedance cardiography Download PDFInfo
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- WO1997037591A1 WO1997037591A1 PCT/SG1997/000013 SG9700013W WO9737591A1 WO 1997037591 A1 WO1997037591 A1 WO 1997037591A1 SG 9700013 W SG9700013 W SG 9700013W WO 9737591 A1 WO9737591 A1 WO 9737591A1
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- A—HUMAN NECESSITIES
- A61—MEDICAL OR VETERINARY SCIENCE; HYGIENE
- A61B—DIAGNOSIS; SURGERY; IDENTIFICATION
- A61B5/00—Measuring for diagnostic purposes; Identification of persons
- A61B5/08—Detecting, measuring or recording devices for evaluating the respiratory organs
- A61B5/0809—Detecting, measuring or recording devices for evaluating the respiratory organs by impedance pneumography
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- A—HUMAN NECESSITIES
- A61—MEDICAL OR VETERINARY SCIENCE; HYGIENE
- A61B—DIAGNOSIS; SURGERY; IDENTIFICATION
- A61B5/00—Measuring for diagnostic purposes; Identification of persons
- A61B5/02—Detecting, measuring or recording pulse, heart rate, blood pressure or blood flow; Combined pulse/heart-rate/blood pressure determination; Evaluating a cardiovascular condition not otherwise provided for, e.g. using combinations of techniques provided for in this group with electrocardiography or electroauscultation; Heart catheters for measuring blood pressure
- A61B5/026—Measuring blood flow
- A61B5/0295—Measuring blood flow using plethysmography, i.e. measuring the variations in the volume of a body part as modified by the circulation of blood therethrough, e.g. impedance plethysmography
-
- A—HUMAN NECESSITIES
- A61—MEDICAL OR VETERINARY SCIENCE; HYGIENE
- A61B—DIAGNOSIS; SURGERY; IDENTIFICATION
- A61B5/00—Measuring for diagnostic purposes; Identification of persons
- A61B5/05—Detecting, measuring or recording for diagnosis by means of electric currents or magnetic fields; Measuring using microwaves or radio waves
- A61B5/053—Measuring electrical impedance or conductance of a portion of the body
- A61B5/0535—Impedance plethysmography
-
- A—HUMAN NECESSITIES
- A61—MEDICAL OR VETERINARY SCIENCE; HYGIENE
- A61B—DIAGNOSIS; SURGERY; IDENTIFICATION
- A61B5/00—Measuring for diagnostic purposes; Identification of persons
- A61B5/72—Signal processing specially adapted for physiological signals or for diagnostic purposes
- A61B5/7235—Details of waveform analysis
- A61B5/7239—Details of waveform analysis using differentiation including higher order derivatives
-
- A—HUMAN NECESSITIES
- A61—MEDICAL OR VETERINARY SCIENCE; HYGIENE
- A61B—DIAGNOSIS; SURGERY; IDENTIFICATION
- A61B5/00—Measuring for diagnostic purposes; Identification of persons
- A61B5/72—Signal processing specially adapted for physiological signals or for diagnostic purposes
- A61B5/7235—Details of waveform analysis
- A61B5/7253—Details of waveform analysis characterised by using transforms
- A61B5/7257—Details of waveform analysis characterised by using transforms using Fourier transforms
Definitions
- the present invention relates generally to cardiac monitoring and specifically to the determination of heart rate (HR), heart stroke volume (SV), and cardiac output (CO) according to detection and complex analyses of thoracic bioimpedance and electrocardiograph (ECG) signals, which permit precise detection of the start of left ventricular ejection.
- HR heart rate
- SV heart stroke volume
- CO cardiac output
- Heart rate is the number of times the heart beats per minute.
- Heart stroke volume is the volume of blood pumped during each heart stroke.
- Cardiac output is the volume of blood pumped in one minute and is generally considered to be the most significant gauge of cardiac fitness. Physicians must frequently rely upon such cardiac parameters to diagnose heart disease, to assess a patient's overall health, to determine the most appropriate method of treatment, and to quickly discover sudden lapses in cardiac performance.
- the currently existing methods for measuring cardiac output and other cardiac parameters may be divided into two categories: invasive and noninvasive.
- the invasive methods require that a medical practitioner insert a measuring device into the patient's body, such as a catheter in the throat, and present numerous disadvantages to both patient and physician.
- the patient must often endure substantial pain and discomfort and the physician must perform a relatively complicated procedure and occasionally expose himself or herself to the risk of contact with infectious blood.
- the noninvasive methods currently in use represent a major advancement, but still have significant shortcomings. Most take measurements using ultrasound, phonocardiography, or electrical bioimpedance in order to calculate cardiac parameters.
- the methods which employ bioimpedance measurement involve placing a plurality of electrodes on a patient's skin (predominantly in the thoracic region), generating a high frequency, low amplitude electric current from certain of the electrodes into the patient's body, measuring the changes in the electrical impedance 91
- the ventricular ejection time is a measurement of the time between the opening and closing of the aortic valves during the systole-diastole cycle of the heartbeat and it must be calculated as an intermediate step in determining cardiac stroke volume.
- the prior art does not teach a method for determining ventricular ejection time with sufficient accuracy.
- the prior art fails to account for the fact that VET is not a single event. In reality, there is actually a left VET and a right VET.
- time-dc ⁇ vative impedance signal is actually proportional to the peak aortic blood flow ejected by the left ventricle.
- the measuremenis of left VET and right VET for most patients are generally very close, but even slight differences between them can create errors in bioimpedance readings under the methods currently in use.
- the classic algorithm for ejection start time is elaborate, and works well only for healthy patients at rest. It is not accurate for patients under physical training or other physical stress, or for critically ill patients, such as those typically in intensive care units. 591
- SV heart stroke volume
- R blood resistivity
- L the distance between the inner and outer voltage sensing electrodes
- ZQ the mean thoracic impedance determined from the inner voltage sensing electrodes
- ⁇ Z the impedance change due to blood influx.
- VET is the combined left and right ventricular ejection time
- (dZ dt ⁇ is the maximum negative slope change of the time-differentiated impedance signal.
- Most bioimpedance cardiac monitoring systems use some form of the Kubicek equation.
- R is especially important in patients undergoing blood infusion.
- Many of the methods for bioimpedance cardiography require that the patient hold his or her breath during each measurement because respiration causes interference in (he bioimpedance signal. Such methods are inconvenient for some patients and completely useless for other patients who are unconscious or otherwise unable to hold their breath.
- Some of the more recent methods include signal 591
- the invention discloses a method of measuring hemodynamic parameters using a novel combination of bioimpedance cardiography and electrocardiography which allows medical practitioners to obtain an accurate, substantially continuous assessment of a patient's cardiac performance.
- the bioimpedance and electrocardiogram signals are measured over a common time interval of interest, preferably more than ten (10) heartbeats.
- the apparatus of the invention uses a series of spot electrodes adapted for placement on the surface of the patient's skin to generate a high frequency, low amplitude electrical current through the thorax of the patient and to measure changes in the bioimpedance.
- the disclosed electrode configuration takes advantage of the physiological arrangement of electrical potential power lines in the body.
- a method of the invention may u lize electrocardiography to enhance the accuracy of the ejection time detection from the measured bioimpedance signal.
- the electrocardiogram can be obtained in any standard position, well known in electrocardiography.
- this invention may use the same set of electrodes for bioimpedance and ECG measurements (see FIG. 6B).
- the invention may also involve the step of continuously adjusting the calculation of cardiac parameters according to changes in the red blood cell count and according to varying bodily compositions of different patients, and can thus be used under a variety of different circumstances without a loss of accuracy.
- the invention comprises a method of improved bioimpedance signal processing. It may employ a computer system to analyze the both the bioimpedance signal and the electrocardiogram in a variety of ways to provide an accurate report of cardiac parameters.
- the computer system may be used to make corrections in the gain-phase- requency characteristics caused by the transducers -5- used to measure the bioimpedance and ECG.
- the computer system communicates a sinusoidal test curve to the transducer receiver and may then measure and record the gain-phasc-frequency distortions created by the receiver.
- the "real" bioimpedance signals subsequently received by the computer system through that transducer may pass through filters which remove the transducer's characteristic distortions as well as breath and movement artifacts. Accuracy of gain-frequency response and phase- frequency response may be corrected to within 5 % .
- the invention may further comprise a method of signal processing the ECG signal to determine QRS complexes (characteristic heartbeat waveforms) and check point positions for use in refining the bioimpedance signal calculations.
- the signal processing may involve sampling the measured ECG signal and filtering it to highlight the positions of the QRS complexes. Peak-to-peak amplitudes may be recorded and a threshold amplitude may be calculated. Defect-free QRS complexes are selected using the threshold amplitude. Finally, additional analysis of selected events may be performed to determine check point positions.
- the computer system of the invention may derive and save in memory a time-derivative bioimpedance signal.
- the curve generated by the time-derivative bioimpedance signal may be plotted with respect to time and represents repeated cardiocycles.
- the power spectnim of the bioimpedance signal may be calculated with discrete Fourier transforms and studied to estimate the patient's heart rate and to identify the fronts of each cardiocycle.
- a novel mathematical autoconvolution procedure may be used to emphasize the heart rate harmonic in the time-derivative bioimpedance signal.
- Breath waves may be removed by generating an envelope within the power spectrum in which cardiocycle signals should be found and then removing those signals which lie outside the envelope.
- the computer system may employ a new method of deriving the effective left ventricular ejection time (ELVET) from bioimpedance signals and ECG signals.
- EVET effective left ventricular ejection time
- precise detection of the ejection start time is based on complex analyses of the bioimpedance and ECG signals.
- the derivation of ELVET is a detailed, multi-step analysis which involves finding various points on the time- derivative bioimpedance curve based on corresponding points on the ECG curve and determining which of these points most accurately reflect cardiac events. It requires 591
- the computer system in accordance with the invention, automatically adjusts for signals which exhibit asynchronism between opening of left and right ventricle valves to calculate the correct value of ⁇ Z, the impedance changes due to blood influx.
- the computer system calculates ELVET and ⁇ Z, it employs an improved form of Kubicek's equation to derive Heart Stroke Volume from ELVET, blood resistivity, the patient's specific body constitution, and the maximum bioimpedance change.
- the computer system analyzes the time-derivative bioimpedance signal to eliminate cardiocycles with certain aberrations.
- the invention further comprises a method of detecting valid cardiocycles.
- FIG. 1 is a schematic depiction of a band-type electrode arrangement on a patient
- FIGS. 2A, 2B, and 2C schematically depict spot-type electrode placements according to the present invention
- FIG. A depicts anatomical zones of interest for placement of measuring chest electrodes according to the present invention
- FIG. 3B illustrates the positioning of the anatomical zones of FIG. 3 on a patient
- FIG. 4 illustrates the structure of an individual chest electrode according to the present invention
- FIG. 5A is a graph of the gain versus frequency characteristics of an A-filter according to the invention employed for signal differentiations and harmonics suppression;
- FIG. 5B is a graph of the gain versus frequency response of a B-filter as employed in the present invention to highlight the fronts of cardiocycles
- FIG. 5C is a graph of filtration employed to remove breath waves' power spectrum from the summary (breath and cardiowave) power spectrum in the present invention
- FIG. 6A is a branch chart of the methodology of the present invention
- FIG. 6B is a flow chart of signal processing and depicting the apparatus employed in performing the method of the present invention
- FIG. 7A depicts the gain-frequency characteristic G(f) of a bioimpedance transducer according to the present invention
- FIG. 7B depicts the phase frequency characteristic P(f) of a bioimpedance transducer of the present invention
- FIG. 7C depicts the gain frequency characteristic _ of an "R" or
- FIG. 7D depicts the phase frequency characteristic -P(f) of an "R” or restoring filter corresponding to the characteristic of FIG. 7B as used for GPF corrections according to the instant invention
- FIG. 8A depicts the resulting gain frequency characteristic G(f) of a transducer signal as corrected by an R-filter according to the present invention
- FIG. 8B depicts the resulting phase frequency characteristic P(f) of a transducer signal as corrected by an R-ftlter according to the present invention
- FIG. 9 is an illustration of a time-derivative bioimpedance signal generated according to the present invention, plotted with respect to time and depicting exemplary impedance changes due to blood influx ( ⁇ Z) over the same time period;
- FIG. 10 is a graph of the electric potential traversing the heart of a patient plotted with respect to time (electrocardiogram), depicting die peak-to-peak amplitudes (E, - front, E-. - back) of the QRS complex in a single heartbeat;
- FIG. 11 is a scatter diagram of all peaks measured in an electrocardiogram over a period of ten seconds The coordinates of the graph are (E,. E_), and the QRS complexes are within ihe dotted circle in the lower right hand comer;
- FIG 12 is a graph of the ECG signal and the time-differentiated bioimpedance signal plotted against time indicating check-points P, S_, and S b on the ECG signal, relative to check-points Q, S, and A on the time-differentiated bioimpedance signal;
- FIG. 13 is a graph of ECG, bioimpedance Z( ⁇ ), and time-differentiated bioimpedance dZ/dt, signals with respect to time indicating the bioimpedance difference between the S and Q points, Z,., in a healthy patient;
- FIG. 14 is a graph of ECG, bioimpedance Z(t), and time-differentiated bioimpedance dZ/dt, signals with respect to time indicating the bioimpedance difference between the S and Q points, Z,_. in a patient with ischemic heart disease; and
- FIG. 15 is a graphic depiction of the correlation of the inventive method of determining ELVET to an ideal, ultrasound determination in comparison to the classic Kubicek algorithm methodology.
- the first step in the present invention involves taking bioimpedance measurements over segments of tissue on a patient's body. Electrodes must be placed at appropriate points on the surface of the skin to generate a high frequency, low amplitude electric current and to detect changes in the generated current after it passes through the segments of tissue (see FIGS. 2A, 2B. 3 and 4).
- the electrodes arc "spot electrodes" rather than "band electrodes” in order to maximize the free area on the patient's body.
- the spot electrodes are preferably of the disposable, one-use type. The patient thus has increased freedom of movement and medical practitioners have more access to the patient's skin for other medical procedures, such as the introduction of catheters and the administration of anesthesia.
- the bioimpedance electrode system employs a total of six electrodes: a pair of detecting (measuring) electrodes 20 at the xiphoid process level, a pair of detecting (measuring) electrodes 22 positioned laterally on the neck, an influencing electrode 24 on the left leg, and an influencing electrode 26 on the forehead.
- the influencing electrodes 24, 26 may be standard ECG spot electrodes with a contact area of 2 centimeters by 2 centimeters (cm).
- the upper influencing electrode 26 is preferably placed on the middle of the forehead, at the mid-line thereof.
- the lower influencing electrode 24 is preferably placed on the left knee or somewhere below the left knee such as the left foot. If necessary, the lower influencing electrode 24 may also be placed above the knee level, provided that the following condition is satisfied:
- L is the distance between influencing electrodes and R is the radius of the chest.
- the left leg is used instead of the right leg to account for the anatomic asymmetry of die heart.
- the arrangement of influencing electrodes in this manner guarantees the uniform distribution of influencing cu ⁇ ent power lines between measuring electrodes and thus helps to minimize the error in the final cardiac parameter measurements.
- the upper pair of measuring electrodes may also be standard ECG spot electrodes with a contact area of 2 cm by 2 cm. These electrodes are placed symmetrically along the lateral lines of the patient's neck about the perimeter of the patient's nec 27, a distance S above the base of the neck.
- the distance S is defined as the distance between the base of the neck and the center 302 of electrode 22 and is preferably approximately 4 cm.
- the base of the neck is defined to be located at the point of maximum curvature of the lateral lines of the neck. Placing the upper measuring electrodes 22 in this area avoids the error that would otherwise result from the nonlinearity of electrical power lines at the neck-chest junction.
- the lower chest pair of measuring electrodes 20 each have a contact area of 12 cm 2 to 30 cm 1 . If this contact area is either reduced or enlarged, the heart stroke volume will be underestimated A contact area of less than 12 cm 1 provides insufficient depth of measurement, a particularly serious problem with larger patients, and a contact area of more than 30 cm 2 causes the measurement to extend into additional anatomical regions.
- the individual chest electrodes 20 are each preferably comprised of a set of four standard ECG spot electrodes 28, each with a contact area 29 of 2 cm by 2 cm with the top pair 34 of spot electrodes 28 of each chest electrode at xiphoid process level 38 (see FIGS. 2B and 4). All contact areas 29 are connected with foil or wire 31.
- the distance G separating adjacent spot electrodes is approximately 5 cm. The 591
- -10- contact areas 29 are placed on the body using a conductive gel, if not an integral feature of the spot electrodes 28
- a conductive gel if not an integral feature of the spot electrodes 28
- the chest electrodes 20 as described are placed laterally on opposite sides of the chest (see FIGS. 2A, 2B, and 2C) at die xiphoid process level 38. As shown in FIGS. 3A and 3B, placement is in zones ⁇ and IV, within an area anteriorly or posteriorly plus or minus about 10 centimeters of a lateral line extending through the body at xiphoid process level 38.
- the influencing electrodes 24, 26 generate a high frequency, low amplitude current into the patient's body and the detecting electrodes 20, 22 measure the current after it passes through body tissue.
- the electrical impedance of the tissue can readily be determined from the difference between die generated current and the measured current.
- the electrical impedance of the tissue varies over time as a result of blood flow, respiration, and other factors.
- the present invention also uses ECG signals concurrendy measured witii die bioimpedance signals. With the exception of post-measurement signal processing to remove hardware artifacts described below, the ECG signal measurement is performed in a conventional manner, and so will not be further described.
- a preliminary step in the present invention is to determine the gain-phase- frequency (GPF) characteristics of the analog input devices (ECG converter and impedance converter) for subsequency use in signal processing.
- GPF gain-phase- frequency
- a computer system which may comprise a specifically programmed general purpose computer such as a personal computer, receives the electrical current measurements from the detecting electrodes 20, 22, determines both the impedance of the interceding tissue (bioimpedance) and the electric potential traversing th heart (ECG) as a function of time, and ultimately calculates HR (heart rate), SV (heart stroke volume), and CO (Cardiac Output).
- HR heart rate
- SV heart stroke volume
- CO Cardiac Output
- K is a novel scale factor
- P is the specific blood resistivity
- L is the distance between the voltage measuring or sensing electrodes 20 and 22, _£,
- ⁇ Z the impedance changes due to blood influx.
- ⁇ Z ELVET ⁇ dZ/ ⁇
- ELVET is the effective left ventricular ejection time, (dZ/dt)
- ⁇ is the maximum absolute value of the time-differentiated impedance signal obtained from the two measuring electrodes
- Z_ is a novel correction factor that takes into account left-right ventricles asynchronism, equal to the bioimpedance difference between S and Q points (see FIGS. 13 and 14 and accompanying text).
- the K tcim accounts for variations in body compositions of different patients.
- the medical practitioner first measures the height and weight of the patient and the perimeter of the patient's neck 27 and chest 36 using conventional means or commercially available ultrasonic measuring means. The medical practitioner then inputs these values into the computer system, which in turn uses the values to compute die effective cross- sectional area of the chest and the K factor.
- the effective cross- sectional area of the chest (SCHEST) is given by:
- the present invention can thus be used on patients of varying body constitutions without a loss of accuracy.
- the electrical resistivity of human blood is not a constant. It varies among different individuals and even in the same individual at different times. Blood resistivity is particularly susceptible to fluctuation in patients undergoing blood infusion. As a result, an accurate system of bioimpedance cardiography must include means for continuously modifying the blood resistivity term of the Kubicek equation.
- a patient's specific blood resistivity depends largely upon his or her hematocrit.
- the relationship between these two values for capillary blood is as follows :
- the invention utilizes a novel method for processing the ECG signal, (after hardware artifact removal) comprised of the following steps: (i) signal approximation from sampling points,
- Step (i) al ⁇ ive is desirable to increase the accuracy and reliability of QRS determination unless sampling frequency is extremely high.
- sampling frequency is extremely high.
- high frequency sampling is undesirable as consuming excessive processing time and memory capacity, and is impractical to effecmate the signals of restricted power spectrum.
- two approaches to approximation may be suitable for use with the invention.
- any signal s(t) with finite spectrum and defining the highest harmonic as is fully described by its samples at points s( ⁇ * ⁇ T), where ⁇ T ⁇ l/2 is the sampling period, and n is an integer.
- a precise approximation of such a signal is given by the equation;
- FIG. 10 illustrates a typical QRS complex, a signal peak with greatest amplitude measured from peak-to-peak in a single heartbeat.
- a symmetrical finite impulse response (FIR) digital filter is calculated from the desired gain-frequency characte ⁇ stic (FGC r4lto ).
- the desired GFC riltM is elaborated from analysis of power spectrum of QRS complexes and has a ⁇ assband from 6 Hz to 22 Hz with the maximum at 12.5 Hz.
- the desired GFC fth4 . is converted to finite impulse characteristic according to an algorithm for filter synthesis described in V.S. Gutnikov, "Filtration of measured signals,” Leningrad, Energoatomizdat (USSR) 1990, pp, 172-181, incorporated herein by reference.
- This filter passes the QRS complexes and suppresses breatii and movement artifacts in the ECG signal, also as P and T waves.
- the next step is to calculate the peak-to-peak amplitude threshold and select valid QRS complexes.
- the computer system measures each local peak of the filtered ECG signal by its front (E,) and back (Ej) amplitude fronts, see FIG. 10.
- E is the measured from the peak's anterior, or leading local minimum to the next nearest maximum
- Ej is measured from the peak's maximum to its posterior, or trailing, minimum.
- FIG. 11 depicts a distribution (scatter diagram) of peaks by their (E,, E 2 ) coordinates for a time interval or period of 10 seconds.
- FIG. 11 also shows the QRS complexes highlighted within a dotted circle in the lower right hand comer of the figure.
- Each peak is characterized by its (E,, E,) vector and amplitude A i( where
- F_nch Q ⁇ iS complex identified by the use of the above "threshold” methodology is then further analyzed within an interval of -50 to +200 milliseconds ( s) from the determined QRS position.
- the computer system determines die amplitude, sequence of peaks, and derivative of peak fronts to arrange 3 check points (FIG, 12): the start of the QRS complex (P- point), the maximum deviation from the base-line (S.-point, which coincides with peak R in a normal ECG), and the end of the QRS complex (S h -pointJ.
- These check points arc used to refine the analysis of the bioimpedance signal described below.
- the invention utilizes a novel method for processing the bioimpedance signal comprised of the following steps;
- the first part of the electronic filtration involves passing the signal through a "restoring" R-filter to achieve gain-phase-frequency (GPF) correction.
- the R-filter compensates for the distortions caused by the particular electronic transducer that used to measure bioimpedance changes. It is well known that GPF characteristics of a bioimpedance transducer (FIG. 7) may gready influence the shape of the bioimpedance curve. These interferences must be removed from the signal.
- the R- filter uses posterior signal processing to correct linear GPF distortions. It is constructed in such a way that the system of the bioimpedance transducer plus R- filter has GPF characteristics with zero phase shift and constant gain at the given range of frequencies, for example from 0.3 Hz to 30 Hz for the bioimpedance signal (see FIG.
- the first step of the GPF correction involves connecting the bioimpedance transducer with a source of an electrically-generated sinusoidal impedance signal and then measuring the output from the transducer.
- the electronically-generated sinusoidal impedance signal has an amplitude of 0.1 Ohm to 0.2 Ohm with respect to a baseline, for example, 100 Ohm to 200 Ohm.
- Such a signal has been developed using a voltage-to-i pedance converter consisting of a photoresistor, a photoemitter (photo diode), a power supply, and an analog-digital-analog (ADA) computer interface.
- the paired photoresistor and photoemitter are coupled inside a light-protected housing so that the photoresistor changes its impedance according to the photoemitter's light intensity.
- the ADA conversion process includes digital-to- analog conversion of the mathematically-modeled sinusoid with a frequency of 19 kHz and analog-to-digital conversion with a frequency of 100 Hz, with 12 bit resolution.
- the computer produces a set of test sinusoidal signals with frequencies in the range from 0 Hz to 75 Hz and records the responses of the transducer.
- the operating characteristics of the voltage-to-impedance converter include an input signal of 0 V to 5 V, an output signal of -0.1 Ohm to 0.1 Ohm wiU. a baseline of 100 Ohm to 200 Ohm (as previously noted).
- the GPF characteristic H(f) of the transducer may then be calculated from the spectrums of the initial test signals and the resulting responses of the transducer and presented as a graph or stored in an ASCII or other memory file. The system uses the calculated GPF characteristic H(f) of the transducer to calculate the "restoring" R-filter.
- the GPF characteristic of such R-filter can be formally written as 1/H(f) in a certain frequency range.
- the R-filter also provides frequency bounds through low and high frequency filters to provide suppression of random low and high frequency interference (see FIG. 7).
- the filtration with the R-filter may be done in the frequency domain using a Fourier transform. It is preferable to use a Gaussian window with Fourier transform to eliminate the boundary effects of the recorded signal:
- the next step in the bioimpedance signal processing is heart rate (HR) estimation.
- HR heart rate
- the present invention uses two ways to calculate HR.
- the ordinal way is to detect R-peaks on the ECG signal as described above and calculate R-R interval.
- the inverse value multiplied by 60 corresponds to heart rate. If ECG signal cannot be processed to detect R-peaks for some reason, the second way is used.
- the power spectrum of the "restored" bioimpedance signal is calculated with discrete Fourier transform and used to estimate the patient's heart rate (HR). Very often a breath harmonic is the biggest one in the power spectrum of the bioimpedance signal. Consequently, it must be suppressed and the HR frequency response highlighted. A special transformation is used for this purpose.
- the power spectrum (PS) of the "restored" signal is multiplied with the gain- frequency characteristic of the A-filter (see FIG. 5A).
- This filter differentiates the signal and additionally suppresses harmonics below a certain frequency preferably selected at a range from 1 Hz to 3 Hz because breath wave harmonics commonly lie below 2 Hz and HR harmonics above 0.8 Hz.
- the power spectrum of clear cardio signal consists of repeated peaks at frequencies HR, 2*HR, 3*HR, etc. Consequently, the following autoconvolution of the power spectrum will emphasize the heart rate harmonic:
- ASl(i) is a result of the autoconvolution of the power spectrum
- PSa(i) is the power of a given spectral line with frequency i which previously passed though the A-filter. It is preferable to have in the above product only the first three elements PSa, because the higher the frequency is, the lower the signal-to-noise ratio.
- the computer system uses the autoconvolution to search for Mas, the maximum value of ASl(i) in the range of 0.6 Hz to 5 Hz.
- the frequency associated with Mas is regarded as an estimation of HR.
- the estimation of HR is then used in additional filtration (see FIG. 5C) and cardiocycle-identification procedures.
- breath frequency is less than heart rate frequency
- breath waves create a power spectrum which overlaps the lowest harmonics of the power spectrum created by the cardiocycles, So, it is impossible to remove the breath waves' power spectrum from the summary power spectrum entirely (see FIG. 5C).
- Cardiac strokes are a more stable,- repetitive process in comparison with breath. Consequently, we can consider that their power spectrum consists of several narrow peaks. All power spectrum harmonics between main cardiowaves' spectrum lines are combination of lateral slopes of these main spectrum lines and a noise power spectrum. If these internal harmonics are decreased, noise is mainly suppressed, and cardiowaves only slightly.
- the invention also uses two ways to do this.
- the first way is to place the cardiocycle borders according to QRS complexes positions in the ECG signal. If the ECG cannot be processed, the second way is used. In the second way, the 7591
- -19- "restorcd" signal as mentioned above is passed through the B-filter (FIG. 5B) to highlight the fronts of the cardiocycles.
- the pass band of the B-filter is adapted for frequency harmonics that produce a main contribution to cardiocycle front (preferably from 1 Hz to 6 Hz).
- Tlie area between a local minimum and the next local maximum at the signal passed through the B-filter is regarded as a cycle front and described with a peak-to-peak change in time and a peak-to-peak change in amplitude.
- the computer system then generates a time-amplitude envelope by analyzing the first five (5) harmonics of the power spectrum generated by the signal after it passes through the B-filter.
- Tlie cycle fronts are examined and certain ones arc marked for further analysis if their peak-to-peak changes in time and peak-to-peak changes in amplitude are within the time-amplitude envelope.
- the computer system calculates mean and variance of peak-to-peak amplitudes for die selected regions. If the variance-per-mean ratio is less than a predetermined value, preferably
- the variance-per-mean ratio is greater than a predetermined value, then additional analysis must be performed.
- the additional analysis comprises the following steps: (i) the regions under examination are separated into two groups according to their peak-to-peak amplitude: those above the mean value ("t a upper group") and those below the mean value ("the lower group”); (ii) the means, Ml and M2, and variances or standard deviations, VI and V2, are calculated for each group; ( ⁇ i) the appropriate values are inserted into the following inequality for each group:
- a is a predetermined value, preferably 1.96, and VI and V2 are standard deviations for the lower and upper groups respectively; and (iv) if the inequality holds true, then the regions in the upper group are taken to be the fronts of the cardiocycles and the regions in the lower group are eliminated from further consideration, otherwise all selected regions proceed to the next stage.
- the computer system identifies certain check points in die time-differentiated bioimpedance signal to calculate the effective left ventricular ejection time, ELVET, as a preliminary step in determining heart stroke volume (SV).
- the present invention uses ELVET, a term which represents only the left ventricular ejection time, rather than Kubicek's VET, a term which represents the combined left and right ventricular ejection times. It is known that the value of the time-differentiated impedance signal is proportional to peak aortic blood flow ejected by the left ventricle. Therefore, the most accurate calculation of SV requires that LVET be used. LVET is calculated from the following equation:
- ELVET is the time between the moment the left ventricular valve opens (S-point) and the moment that it begins to close (T-point)
- LVPT is the protodiastoly time (the time it takes for the left ventricular valve to close).
- LVPT is not readily detectable with hemodyna ic monitoring means because the changes in blood flow are insignificant during the protodiastoly time.
- the present invention uses the product of ELVET and (dZ/dQ n .,-, the maximum absolute value of the first chest impedance derivative with respect to time, to account for the lack of an LVPT measurement.
- the calculation of ELVET requires an analysis of the curve generated by the graph of Y(x), time-derivative bioimpedance, plotted with respect to time (see FIG. 9).
- the computer system first finds a global maximum of time-derivative impedance, Y(x), over a given cardiocycle and designates it as point A.
- the computer system then traces back in time from the A-point to the point in time corresponding to the S_,-point on the ECG signal, and looks for abnormalities in the bioimpedance signal between those two points (see FIG. 12).
- the abnormalities of interest are: (1) dZ/dt zero crossing, (2) local minimum in dZ/dt, and (3) local maximum in the third derivative of the bioimpedance signal, d 3 Z/dt ⁇ If there is no abnormality in the bioimpedance signal found in the time interval between points A and S., the cycle is considered defective and rejected from further consideration. If any abnormalities are found to the right of S b , the abnormality closest to S h approached from the right is selected as the ejection start lime, S. Otherwise, the abnormality closest to S h approached from the left is selected as the ejection start time, S.
- the usage of the ECG signal increases stability of the S recognition in complex cases.
- the computer system To identify the end of ELVET, point T, the computer system first finds point T D) which is talccn to be either the first or the second local minimum after point A at the time differentiated bioimpedance signal, labeled as T, and T 2 respectively (see FIG. 9).
- the computer system chooses between T t and T 2 after an analysis of die depth (amplitude) of the curve at each point. If depth of the second minimum is greater than a predetermined fractional value of the depth of the first minimum, then T 2 is selected as T 0 . Otherwise, T_ is used.
- the invention looks for the back or trailing edge of the T-wave in the ECG signal.
- the back edge of the T-wave is detected from the local maximum at ECG signal next to QRS complex up to the next local maximum at the graph of curvature of ECG signal versus time. If one of the points Tj or T 2 is out of bounds of the T-wave's back, the otlier point is used as T 0 regardless of its amplitude.
- the "effective end" of the ventricular ejection, point T is then identified as the nearest local minimum before point T 0 on the graph of the curve generated by the second derivative of Y(x).
- the point of the ejection start, S coincides with the zero crossing of the time-differentiated (dZ dt) bioimpedance signal (see FIG. 13), but this is not the case for seriously ill patients (see FIG. 14).
- the point of the ejection start is often placed at the "stair” or "abnormality” of the first front of the bioimpedance signal.
- This "stair” or “abnormality” characteristic (also lermed a "prewave”) of an ill patient is commonly referred to as left-right ventricular asynchronism.
- the impedance value at the beginning of QRS complex at ECG (Q-point), Z is almost the same as the impedance value at the S-point, Z,.
- This impedance difference is measured as Z,-., (see FIG. 13).
- Z can be significant, (see FIG.14).
- Z._. is small
- the Kubicek equation generally underestimates ⁇ Z.
- the premise of the "prewave” should be accounted for in making the calculation.
- This invention compensates for the inherent underestimation of ⁇ Z in ill patients by adding the bioimpedance difference between S and Q points, Z,., to Kubicek's ⁇ Z estimation. By making this compensation, ⁇ Z is more accurately estimated, and the regression between bioimpedance and thermodilution cardiac output values is linearized.
- the computer system estimates ⁇ Z as
- ⁇ Z (dZ f t) ⁇ ⁇ ELVET + Z,_ f
- Z ⁇ q is the bioimpedance difference between S and Q points.
- the computer system After the computer system arranges all check points, it eliminates cardiocycles with certain aberrations. Fuzzy logic and fitness algorithms may be employed in this procedure. Several criteria are used for this purpose. The computer system first confirms that the time distances between the points described above for each cardiocycle (e.g. , point A, point T, Point S) do not exceed certain bounds. It also verifies that the amplitude difference between the start and the end of the cardiocycle do not exceed a predefined value.
- the amplitude change between the start and end of the cardiocycle must not exceed a predefined percentage of the maximum amplitude over that cardiocycle Furthennore, the ratio of the time- derivative bioimpedance signal amplitude at point A to the time-derivative bioimpedance signal at point T must be greater than a predetermined value; that is:
- Y(A) and Y(T) are the values of the time-derivative bioimpedance signal at points A and T respectively, and "c" is the predetermined value. All cardiocycles that pass this stage are considered as “not very bad.” Tlie computer system then checks for the "neighbors criterion" to eliminate the effect of random noise in the bioimpedance signal.
- a three-dimensional "nearness" vector with elements (Ali, A2i, A3i) is calculated for each pair of cardiocycles in a 10 second time block. The individual elements of the nearness vector are determined using the following equations:
- Y(x) is time-differentiated bioimpedance at a given point x
- A, T, and B are check point positions in each cardiocycle (see FIG. 9);
- ST is the time between points S and T; and
- i and j are different cardiocycles.
- the computer system compares all of the calculated nearness vectors and eliminates those cardiocycles wherein the amplitudes of the nearness vectors exceeds certain thresholds. Tlie comparison is made using a two-threshold analysis.
- the similarity is considered “good.” If the similarity fails to be considered “good” (the similarity exceeds LI), but is still less than second predefined value, L2, it is considered as “acceptable.” If the similarity fails to be considered “acceptable” for the 10 second block of data, the computer system compares the tested cardiocycle with up to 50 previous "not very bad” cycles. If there is still no cycle similar to the one being considered, the cycle under consideration is regarded as noisy, and is rejected. If the amount, of "good” cardiocycles is big enough, all "acceptable” cardiocycles also rejected from the final calculation.
- FIG. 6A An outline of die general methodology of the present invention is set forth in FIG. 6A
- FIG. 6B depicts the flow chart of signal processing in the present invention. While the present invention has been described in terras of a preferred embodiment, titose of ordinary skill in the art will recognize and appreciate that it is not so limited. Many additions, deletions and modifications to the disclosed embodiment may be made without departing from the scope of the invention as hereinafter claimed.
Abstract
Description
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US09/171,138 US6161038A (en) | 1996-04-08 | 1997-04-07 | Non-invasive monitoring of hemodynamic parameters using impedance cardiography |
AU24200/97A AU748652B2 (en) | 1996-04-08 | 1997-04-07 | Non-invasive monitoring of hemodynamic parameters using impedance cardiography |
JP53613097A JP3486419B2 (en) | 1996-04-08 | 1997-04-07 | Non-invasive monitoring of hemodynamic parameters using impedance cardiography |
EP97919867A EP0901342A1 (en) | 1996-04-08 | 1997-04-07 | Non-invasive monitoring of hemodynamic parameters using impedance cardiography |
CA002251250A CA2251250C (en) | 1996-04-08 | 1997-04-07 | Non-invasive monitoring of hemodynamic parameters using impedance cardiography |
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US08/629,420 US5685316A (en) | 1996-04-08 | 1996-04-08 | Non-invasive monitoring of hemodynamic parameters using impedance cardiography |
US629,420 | 1996-04-08 |
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Also Published As
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US6161038A (en) | 2000-12-12 |
JP2000508194A (en) | 2000-07-04 |
EP0901342A1 (en) | 1999-03-17 |
CA2251250A1 (en) | 1997-10-16 |
AU748652B2 (en) | 2002-06-06 |
RU2195168C2 (en) | 2002-12-27 |
EP1078597A2 (en) | 2001-02-28 |
CA2251250C (en) | 2004-06-29 |
AU2420097A (en) | 1997-10-29 |
US5685316A (en) | 1997-11-11 |
JP3486419B2 (en) | 2004-01-13 |
CN1221325A (en) | 1999-06-30 |
EP1078597A3 (en) | 2001-11-21 |
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