|
(11) | EP 2 613 690 B9 |
| (12) | CORRECTED EUROPEAN PATENT SPECIFICATION |
| Note: Bibliography reflects the latest situation |
|
|
| (54) |
AUTOMATIC METHOD FOR MEASURING AND PROCESSING BLOOD PRESSURE AUTOMATISCHES VERFAHREN ZUR MESSUNG UND VERARBEITUNG VON BLUTDRUCK PROCÉDÉ AUTOMATIQUE DE MESURE ET DE TRAITEMENT DE LA PRESSION ARTÉRIELLE |
|
|
|||||||||||||||||||||||||||||||
| Note: Within nine months from the publication of the mention of the grant of the European patent, any person may give notice to the European Patent Office of opposition to the European patent granted. Notice of opposition shall be filed in a written reasoned statement. It shall not be deemed to have been filed until the opposition fee has been paid. (Art. 99(1) European Patent Convention). |
[0001] The present invention relates to an automatic method for measuring and processing blood pressure that allows in a reliable, versatile, effective, simple, and inexpensive way, to correctly measure blood pressure, dynamically adapting to variability of the latter, eliminating the artefacts introduced by the conventional systems.
[0002] The present invention further relates to the related detecting apparatus, as well as to the tools allowing the method to be executed.
[0003] It is known that measurement of the blood pressure, also called arterial pressure, may occur either invasively or non-invasively.
[0004] The invasive measurement is generally performed through a filling pressure line, connected to an invasive catheter, provided at the end with a transduction system transforming detected pressure into a potential difference. Differently from the non-invasive measuring systems, such as for instance the Riva-Rocci cuff, the invasive measurement emphasises not only the maximum and the minimum of the measured pressure, but also the morphology of detected signal.
[0005] Consequently, the invasive measurement, besides being more reliable than the non-invasive measurement, is capable to emphasise the characteristics of heart-arterial circle coupling which directly affect the detected result. In fact, the systolic and diastolic pressure values and the whole morphology of the heart beat are strictly related to the contractility of the heart and to the circulatory system, identified in the so-called dynamic impedance Zd(t), linked to the pressure-volume (P-V) curve and given by the ratio between a pressure value and a time range.
[0006] However, evaluation techniques based on the invasive measurement of the blood pressure often suffer from problems of significant inaccuracy in measurements of maximum and minimum pressure and, consequently, also in its morphology. In fact, many authors have shown the existence of an inadequate underdamping of the pressure signal that may lead to considerable measurement errors, also of several tens of mmHg.
[0007] In order to solve such problems, some solutions have been proposed which are based on the application of low-pass filters to the pressure signal (i.e. on a frequency processing of the pressure signal that imposes from outside a fixed value of the cutoff frequency) and/or on the use of mechanical systems capable to damp the frequency components of the detected pressure wave.
[0008] US 2006/064021 discloses to adjust the cutoff frequency of a low-pass filter according to the pulse frequency in order to improve the processing of a blood pressure signal
[0009] In particular, the mechanical systems currently used for determining whether the detected signal has a correct underdamping or not employ the mechanical method of the square wave test described by R.M. Gardner in "Direct Blood Pressure Measurement - Dynamic Response Requirements", Anesthesiology, March 1981, Volume 54, Issue 3, ppg 227-236, that requires a visual observation of the detected pressure signal by a physician. This is the case, for instance, of the R.O.S.E.™ (Resonance Over Shoot Eliminator, available from the US company Becton Dickinson Critical Care System Ltd.) systems and in the Accudynamic® systems (available from the HOSPIRA - ICU Medical). These systems mechanically act by imposing a mechanical damping: in the Accudynamic® system such mechanical damping is adjustable in a small damping range through a small knob advancing a pin that penetrates in different depths in the pressure line; instead, in the ROSE system, the mechanical damping is fixed by a micro-bubble and elastic membrane device, thus acting in a fixed way for any pressure signal (well defined fixed damping).
[0010] However, all these systems operate in a pre-determined (static) manner on a dynamic problem, because only the frequency spectrum of the signal analysed from the pressure line is considered. This implies that characteristic frequency spectra equal in certain conditions of the patient are adequate, while in other physiopathological conditions they are clearly inadequate, generating high over-evaluation of the arterial pressure.
[0011] In fact, correctness of underdamping is a dynamic problem associated (besides the specific cardiocirculatory system of the patient under consideration) with the specific heart beat under consideration, that may thus change from beat to beat, whereby the pressure line responses in a different manner depending on the situation in which it is used.
[0012] By way of example, Figure 1 shows a typical blood pressure signal, wherein the beats change both in their morphology and in measurement of the systolic and diastolic pressure (see Fig. 1a), and the different result that a conventional system for measuring the arterial pressure obtains on a specific beat, in particular in the neighbourhood of the systolic pressure, by applying none or three different cutoff frequencies (no filter, 15Hz, 10Hz, 6Hz) (see Fig. 1b). Figure 2 shows the differences of the systolic pressure values, on two consecutive beats in a same blood pressure signal (see Fig.s 2a and 2b), obtained by applying none or three different cutoff frequencies (no filter, 15Hz, 10Hz, 6Hz). Figure 3 shows as a conventional measuring system behaves, in particular in the neighbourhood of the systolic pressure, in detecting a beat by applying none or three different cutoff frequencies (no filter, 15Hz, 6Hz) (see Fig. 3a) and by applying none or three different cutoff frequencies (no filter, 10Hz) (see Fig. 3b); in particular, it is evident that the 6Hz cutoff frequency causes an overdamping (see Fig. 3a), while the filter with 10Hz cutoff frequency is the most adequate (see Fig. 3b). Figure 4 shows two blood pressure signals wherein the same filters act in a different manner: in Figure 4a the filter with 10 Hz cutoff frequency seems almost ineffective, while in Figure 4b the same filter with 10 Hz cutoff frequency acts in a significant manner; in particular, for the beats shown in Figure 4 the filter with 6Hz cutoff frequency is the most adequate.
[0013] Moreover, the response of the pressure transducer depends, along with on the characteristics of length, diameter, type of material and liquid filling the pressure line, also on its coupling to the catheter diameter, on the arterial tone, on the pulse frequency and on the rigidity of the vessel of the subject under examination.
[0014] In this regard, in the last years great efforts have been made for optimising the characteristics of length, diameter, filling liquid, type of material and catheter, in order to limit the artefacts. In particular, optical fibre pressure lines have been also made which may reduce the artefacts.
[0015] However, all the conventional systems does not manage to completely solve the aforementioned problems of wrong measurement of the arterial pressure, and this is very frequent especially in cases where the detection is most necessary, such as for instance for patients who are elderly, very young, septic, tachycardic and extremely instable both in the arterial tone and in pace (e.g. due to atrial fibrillation).
[0016] It is therefore an object of the present invention to allow in a reliable, versatile, effective, simple, and inexpensive way, to correctly measure blood pressure, dynamically adapting to variability of the latter, eliminating the artefacts introduced by the conventional systems.
[0017] It is specific subject matter of this invention an automatic method for measuring and processing blood pressure comprising the following steps:
- A. having a sampled detected pressure signal P(t) for one or more heart beats, each heart beat starting at an initial instant coinciding with the one of the initial diastolic pressure point and ending at a final instant coinciding with the one of the subsequent diastolic pressure point and comprising a dicrotic point, each beat having a systolic phase going from the initial diastolic point to the dicrotic point; and
- B. automatically analysing and discriminating morphology of the pressure signal P(t)
sampled for each heart beat, determining instant and pressure value of one or more
characteristic points of the pressure signal P(t) selected from the group comprising
- an initial diastolic pressure point,
- a systolic pressure point,
- a dicrotic point, and
- one or more resonance points, each one of which occurs in an instant wherein a second
derivative d2P/dt2 of the pressure signal P(t) has a local maximum,
at least one characteristic point of the pressure signal P(t) belonging to the systolic phase of the heart beat under consideration and being different from the initial diastolic pressure point;
the method being characterised in that it further comprises the following steps:
- C. for each heart beat, determining an energy efficiency RES through the following
sub-steps:
C.1 determining a direct dynamic impedanceZd_D(t) for each one of said one or more characteristic points belonging to the systolic phase of the heart beat under consideration and different from the initial diastolic pressure point, said direct dynamic impedance Zd_D(t) being equal to the ratio between a value of the pressure signal P(t) at the characteristic point and the distance of the respective time instant from the initial instant of the heart beat under consideration, and determining an impedance ZD of a direct wave of pressure by summing with alternate signs the values of the direct dynamic impedances Zd_D(t) ordered according to a direct time order starting from the initial instant of the heart beat under consideration up to the dicrotic point instant, beginning to apply a positive sign to the direct dynamic impedance Zd_D(t) that is the first one in the direct time order;
C.2 determining a reflected dynamic impedance Zd_R(t) for each one of said one or more characteristic points, said reflected dynamic impedance Zd_R(t) being equal to the ratio between a value of the pressure signal P(t) at the characteristic point and the distance of the respective time instant from the final instant of the heart beat under consideration, and determining an impedance ZR of reflected waves of pressure by summing with alternate signs the values of the reflected dynamic impedances Zd_R(t) ordered according to a reverse time order starting from the final instant down to the initial instant of the heart beat under consideration, beginning to apply a positive sign to the reflected dynamic impedance Zd_R(t) that is the first one in the reverse time order;
C.3 determining said energy efficiency RES as ratio between the impedance ZD of the direct wave and the impedance ZR of the reflected waves:
- D. for said energy efficiency RES determined in step C, checking whether a first derivative dP/dt of the pressure signal P(t) is lower than a first value Td of maximum threshold in the whole heart beat under consideration and whether the second derivative d2P/dt2 of the pressure signal P(t) is lower than a second value Td2 of maximum threshold in the whole heart beat under consideration, and in the case where the check has negative outcome making step E, otherwise, in the case where the check has positive outcome, making step F;
- E. selecting a cutoff frequency of a low-pass filter on the basis of said energy efficiency RES determined in step C, of the first derivative dP/dt and of the second derivative d2P/dt2 of the pressure signal P(t), and applying said low-pass filter to the pressure signal P(t), thus obtaining a new sampled pressure signal, and returning to execute the preceding steps starting from step B;
- F. outputting the pressure signal P(t) on which step B has been made for the last time.
[0018] Always according to the invention, said one or more resonance points may be determined in step B through the following sub-steps:
B.2 determining a total number NdP_max of local maximum points of the first derivative dP/dt of the pressure signal P(t) in the heart beat under consideration;
B.3 determining local maximum points of the second derivative d2P/dt2 of the pressure signal P(t) in the heart beat under consideration; and
B.4 selecting a number NdP_max of local maximum points of the second derivative d2P/dt2 having largest values, determining NdP_max time instants td2P_max(i) wherein said NdP_max selected local maximum points of the second derivative d2P/dt2, occur, and assuming the points of the pressure signal P(t) in such NdP_max instants td2P_max(i) as resonance points.
[0019] Still according to the invention, in step B, the following characteristic points of the pressure signal P(t) may be determined:
- the initial diastolic pressure point,
- the systolic pressure point,
- the dicrotic point, and
- one or more resonance points.
[0020] Furthermore according to the invention, the first value Td of maximum threshold and the second value Td2 of maximum threshold may be functions of said energy efficiency RES determined in step C.
[0021] Always according to the invention, in step D, it may be checked whether said energy efficiency RES determined in step C belongs to one of three or more, preferably four, adjacent ranges of variability, the first value Td of maximum threshold and the second value Td2 of maximum threshold being preferably functions of the range to which said energy efficiency RES determined in step C belongs.
[0022] Still according to the invention, in step E, said cutoff frequency may be selected by
- discriminating the belonging of said energy efficiency RES determined in step C to
one of three or more, preferably four, adjacent ranges of variability,
- for each one of said three or more adjacent ranges of variability of said energy efficiency
RES determined in step C, discriminating the belonging of the first derivative dP/dt
of the pressure signal P(t) in the whole heart beat under consideration to one of
three or more, preferably six, adjacent ranges of variability, and
- for each one of said three or more adjacent ranges of variability of the first derivative dP/dt of the pressure signal P(t) in the whole heart beat under consideration, discriminating the belonging of the second derivative d2P/dt2 of the pressure signal P(t) to one of three or more, preferably four, non overlapping ranges of variability, to which a respective value of said cutoff frequency corresponds.
- for each one of said three or more adjacent ranges of variability of said energy efficiency
RES determined in step C, discriminating the belonging of the first derivative dP/dt
of the pressure signal P(t) in the whole heart beat under consideration to one of
three or more, preferably six, adjacent ranges of variability, and
[0023] Furthermore according to the invention, said cutoff frequency may have a value decreasing upon increasing the first derivative dP/dt of the pressure signal P(t), under identical values of said energy efficiency RES and of the second derivative d2P/dt2 of the pressure signal P(t).
[0024] Always according to the invention, said cutoff frequency may have a value decreasing upon increasing the second derivative d2P/dt2 of the pressure signal P(t), under identical values of said energy efficiency RES and of the first derivative dP/dt of the pressure signal P(t).
[0025] Still according to the invention, said cutoff frequency may range from 0,5 Hz to 100 Hz, preferably from 2 Hz to 80 Hz, more preferably from 3 Hz to 60 Hz.
[0026] Furthermore according to the invention, in step F the pressure signal P(t) may be displayed on a display.
[0027] It is always specific subject matter of this invention an automatic apparatus for measuring and processing blood pressure characterised in that it comprises processing means capable to perform the steps of the previously described automatic method for measuring and processing blood pressure.
[0028] It is still specific subject matter of this invention a computer program, comprising code means adapted to perform, when operating on processing means of an apparatus, the steps of the previously described automatic method for measuring and processing blood pressure.
[0029] It is still specific subject matter of this invention a computer-readable memory medium, having a program stored therein, characterised in that the program is the computer program just described.
[0030] The method according to the invention uses and processes the signal of blood pressure of a patient for determining the set of the characteristics of the patient's physiopathological system and of the characteristics of the external detecting system so as to evaluate the right interaction between such two systems, thus determining the right underdamping.
[0031] More in particular, the method according to the invention is substantially based on a dynamic low-pass filter applied on a detected pressure signal (e.g. from radial, femoral, aorta, or pulmonary artery), wherein the filter, directly working in the time domain, also takes account of the coupling between pressure line and characteristic dynamic impedance, obtained instant by instant from the analysis of the pressure signal (or curve) so as to determine the most adequate operating frequency for the used pressure line. In other words, the method according to the invention is based on a characteristic set of conditions on the values of several parameters of the pressure signal, linked to the result of the coupling of the characteristic dynamic impedance of the cardiocirculatory system to the pressure detecting system, instead of a characteristic frequency spectrum. In this regard, the detected pressure signal to which the method according to the invention is applied may be also a recorded signal that is subsequently analysed by subjecting the same to the method according to the invention, the scope of protection of which does not hence comprise any invasive surgical step on the patient's body.
[0032] The method according to the invention allows to determine the adequate impedance related to the heart-circle energy for correcting and determining the true pressure and hence, from the relationship P-V (Pressure-Volume), for determining the correct blood flow linked to the recorrected pressure waveform and/or for determining the cardiac contractility due to the resulting correct pressure wave. Such corrections for obtaining the adequate pressure are valid for both filling and optical fibre detecting systems, as well as for non-invasive piezo-oscillometric detectors (all always working on the coupling between the impedance of the detecting system and the impedance of the cardiocirculatory system). Also, such corrections for pressure signals detected in both central and peripheral arterial system, such as for instance in pulmonary artery, in aorta, in femoral artery, and in radial artery.
[0034] First of all, by measuring the coupling between measuring line and patient's cardiocirculatory system, it allows to solve the problems of coupling of the arterial pressure lines to the dynamic characteristics of the patient of whom the arterial pressure, often variable from beat to beat, is measured.
[0035] Moreover, by applying a correct dynamic damping, the method according to the invention allows the elimination of any artefact from the detected pressure signal, obtaining a correct measurement of the arterial pressure and dynamic impedance, making possible to go back from the peripheral pressure to the estimation of the maximum derivative of the pressure within the left ventricle ([dP/dt]max) that has generated the pulse detected at the periphery. In fact, also in the basis of the maximum derivative of the peripheral pressure the method according to the invention determines a correction factor (i.e. a low-pass filter) that is applied to such peripheral pressure for estimating pressure at the ventricle, taking account of the coupling between measurement line and patient's cardiocirculatory system (whereby, for instance, in case of rigid peripheral vessel, it is necessary to apply a high correction). This entails that, through the filtering dynamically applied by the method according to the invention, the contribution related to arterial vessel rigidity is removed, leaving the basic component related to the characteristics of the ventricle that has generated the pressure pulse.
[0036] In other words, besides the measurement of the arterial pressure, the method according to the invention allows to determine a correction factor that estimates the maximum derivative dP/dtmax of the ventricle pressure, estimating an energy efficiency of the whole cardiocirculatory system, providing an estimate of the entropy of the biological system; in fact, through the concept of efficiency it is possible to take account of the "irrecoverable" mechanical energy present during a cardiac cycle. Such efficiency describes how much is consumed from the "reserves" of the biological system of the body under consideration, since reserve consumption means consuming "the components" of the physiological system (e.g.: organs, glands (bio-chemical reactions), cardiac electrical system, etc.).
[0037] The present invention will be now described, by way of illustration and not by way of limitation, according to its preferred embodiments, by particularly referring to the Figures of the enclosed drawings, in which:
Figure 1 shows a blood pressure signal (Fig. 1a) and the different result that a conventional system for measuring arterial pressure obtains on a specific beat by applying none or three different cutoff frequencies (see Fig. 1b);
Figure 2 shows two consecutive beats in the same blood pressure signal obtained by applying with a conventional system none or three different cutoff frequencies;
Figure 3 shows a beat obtained by applying with a conventional system none or two different first cutoff frequencies (Fig. 3a) and by applying with a conventional system none or a second cutoff frequency (Fig. 3b);
Figure 4 shows two blood pressure signals obtained by applying with a conventional system none or two identical filters;
Figure 5 shows a block diagram of a preferred embodiment of the automatic method according to the invention;
Figure 6 shows a pressure signal of an individual heart beat to which the method of Figure 5 is applied;
Figure 7 schematically shows a preferred embodiment of an automatic apparatus according to the invention.
[0038] The inventor has developed a method for measuring the blood pressure, starting from a detected pressure signal, that operates in the time domain for discriminating whether the detected signal is an adequate measurement or not and, where it is not, the analysis in the time domain automatically selects a low-pass filter to apply for having correct blood pressure values and wave form. In this regard, the inventor has verified that the method according to the invention provides a pressure signal having an adequate underdamping through tests made with the square wave test before and after application of the filter by the method according to the invention.
[0039] Preferably, the detected pressure signal is made available through invasive detecting technique, e.g. a filling pressure line or optical fibres technique in femoral, radial, brachial, aorta, or pulmonary artery, or through non invasive detecting technique, e.g. both piezoelectric and oscillometric plethysmography. However, the detected pressure signal to which the method according to the invention is applied may be also a recorded signal subsequently analysed by subjecting it to the method according to the invention, the scope of protection of which hence does not comprise any invasive surgical step on the patient's body.
[0040] More in particular, the method according to the invention is based on the pulsatile frequency (i.e. it uses the whole time range of the heart beat and the relative distances of the individual pressure points within the same beat), some characteristic points of the heart beat determined through the first derivative of the detected arterial pressure (dP/dt) and the second derivative of the detected pressure (d2P/dt2), and some values of dynamic impedance Zd(t) in specific instants of the direct wave of pressure (propagating from heart to periphery) and of the reflected waves of pressure (propagating from periphery to heart).
[0041] Starting from the thus obtained values of dynamic impedance, the method checks whether the pressure signal constitutes an adequate measurement, and where it does not the method selects the cutoff frequency, preferably ranging from 0,5 Hz to 100 Hz, more preferably from 2 Hz to 80 Hz, still more preferably from 3Hz to 60 Hz, of the low-pass filter to apply to the detected pressure signal, so that it is the most adequate one to the detection instant conditions, so that the method dynamically adapts to the detection variations which may also occur from beat to beat and from instant to instant.
[0042] In other words, the method according to the invention exploits the peculiar characteristics of the pulsatile beat under consideration, and through them it determines a low-pass filter with variable cutoff frequency in order to apply an adequate underdamping.
[0043] With reference to Figure 5, it may be observed that the preferred embodiment of the method according to the invention comprises the following steps:
- A. having a pressure signal detected through pressure transducer (preferably through invasive arterial pressure line or through non invasive technique, e.g. through plethysmographic oscillometric method), that is sampled, preferably with sampling frequency equal to 1000 Hz;
- B. automatically analysing and discriminating the morphology of the sampled pressure wave (i.e. the signal) for each heart beat (going from an initial diastolic pressure point to the subsequent diastolic pressure point, considering as point of diastolic pressure of the beat the initial point of the beat, i.e. the initial diastolic pressure point);
- C. for each heart beat, determining some evaluation values consisting in (or comprising) an impedance of the direct wave of pressure and an impedance of the reflected waves of pressure and a consequent energy efficiency of the whole cardiocirculatory system;
- D. checking whether it is necessary to apply a low-pass filter and, in the case where the check has positive outcome, making step E, otherwise making step F assuming that the measured pressure signal is identical to the sampled pressure signal;
- E. selecting the cutoff frequency of the low-pass filter, on the basis of the analysis of step B and of the determination of step C, and applying the low-pass filter to the sampled pressure signal, obtaining a new sampled pressure signal, and returning to step B;
- F. outputting the measured pressure signal, preferably displaying the same on a display.
[0044] Step B of automatic analysis of the morphology of the pressure wave (i.e. the signal) detected during a heart beat analyses and discriminates the form of an heart beat by detecting both pressure characteristics and time characteristics (which, as it will be shown below, are considered as ranges starting from the instant of beginning of the beat - i.e. the instant of the initial diastolic pressure - or, backward, from the instant of end of the beat) related to specific points starting from the instant of beginning of the beat, in particular the characteristic points of diastolic pressure (that is initial in the beat), of systolic pressure, of dicrotic point, and of resonance in the individual heart beat.
[0045] In greater detail, step B comprises the following sub-steps:
B.1 determining the pressure and instant of the diastolic pressure point (corresponding to the "initial" absolute minimum of the pressure signal in the individual heart beat), of the systolic pressure point (corresponding to the absolute maximum of the pressure signal in the individual heart beat), and of the dicrotic point (corresponding to the point in which the heart aortic valve closes and that mathematically corresponds to a point of local maximum of the second derivative or of local minimum of the pressure curve occurring immediately after the systolic pressure point),
B.2 determining the total number NdP_max of local maximum points (including the absolute maximum) of the first derivative dP/dt of the (sampled) pressure signal in the range of the individual heart beat;
B.3 determining the local maximum points (including the absolute maximum) of the second derivative d2P/dt2 of the (sampled) pressure signal in the range of the individual heart beat; and
B.4 selecting the NdP_max local maximum points of the second derivative d2P/dt2 having largest values (i.e. selecting a number of local maximum points of the second derivative d2P/dt2 equal to the total number NdP_max of local maximum points of the first derivative dP/dt as previously determined) and determining the related NdP_max time instants td2P_max(i) (with i ranging from 1 to NdP_max) in which they occur, assuming the pressure signal points in such NdP_max instants td2P_max(i) as resonance points.
[0046] In particular, the link between number of local maxima of the second derivative d2P/dt2 and total number NdP_max of local maximum points of the first derivative dP/dt in the range of the individual heart beat allows to eliminate the local maximum points of the second derivative d2P/dt2 due to noise. In this regard, the diastolic peak point (i.e. the point of highest local maximum after the dicrotic point and after the possible hump after the dicrotic point) is always selected in step B.4 among the resonance points.
[0047] By way of example and not by way of limitation, the heart beat and the related characteristic pressure points may be discriminated and determined through an automatic method for discriminating the heart beat similar to that described in Application WO 2004/084088.
[0048] By way of example and not by way of limitation, Figure 6 shows the pressure signal of an individual heart beat wherein:
- p0 is the value of diastolic pressure (that is initial in the beat), at the instant t0 of beginning of the beat (i.e. instant of the initial diastolic pressure point of the beat);
- p2 is the systolic pressure value, at the instant t2 of the systolic pressure point;
- p4 is the pressure value at the dicrotic point, occurring at the instant t4;
- p1, p3, p5, p6, and pf are the values of pressure at the resonance points occurring at the instants t1, t3, t5, t6 and tf (determined on the basis of the total number NdP_max of local maximum points of the first derivative dP/dt, equal to 5, and of the selection of corresponding 5 points - having largest values - of local maxima of the second derivative d2P/dt2).
[0049] In Figure 6, point p5 is the hump following the dicrotic point, while the point p6 is the diastolic peak (i.e. the local maximum following the dicrotic point and the possible hump immediately subsequent to the latter).
[0050] Step C determines an evaluation value of an energy efficiency of the whole cardiocirculatory system, providing an estimate of the entropy of the biological system. In particular, such energy efficiency is determined as a quantity that in the following is defined as Result of the Energy ratio of the System, or RES, of the cardiocirculatory system obtained on the basis of the impedance of the direct wave of pressure and of the reflected waves of pressure obtained from the morphology of the pressure signal in a heart beat. Such impedances are determined by considering pressures and related time instants of the characteristic points of the heart beat, which comprise not only the points of diastolic pressure (that is initial in the beat), of systolic pressure, and of dicrotic point (which are placed in the time range comprising the diastole-systole and systole-dictotic point subranges - i.e. in the systolic phase of the individual heart beat), but also the resonance points determined during a heart beat in step B (namely in substep B.4) described above, among which resonance points the point of diastolic peak (i.e. peak after the dicrotic point in the diastolic phase of the individual heart beat) is always present.
[0051] In greater detail step C comprises the following sub-steps:
C.1 determining the impedance ZD of the direct wave of pressure on the basis of a sum of dynamic impedances of a first series of points of the heart beat (series_1) comprising those points among the aforementioned characteristic ones which belong to the systolic phase of the individual heart beat (i.e. in the range from the initial diastolic pressure point up to the dicrotic point), except the initial diastolic point;
C.2 the impedance ZR of the reflected waves of pressure is determined on the basis of a sum of dynamic impedances of a second series of points of the heart beat (series_2) comprising all the aforementioned characteristic points (which belongs to the whole heart beat);
C.3 determining the RES value as ratio between the impedance ZD of the direct wave and the impedance ZR of the reflected waves.
[0052] In particular, in relation to the impedance ZD of the direct wave of pressure, for each point of the first series a respective direct dynamic impedance Zd_D(t) is determined, given by the ratio between the pressure value at that point and the distance of the respective time instant from the initial instant of the beat, i.e. from the instant of the initial diastolic point (this is the reason why in the first series the initial diastolic point is not considered, since its dynamic impedance would have value 0 at denominator). The value of the impedance ZD of the direct wave of pressure is obtained by summing with alternate signs the thus determined dynamic impedances of the points of the first series, ordered according to their time order starting from the instant of the initial diastolic pressure up to the dicrotic point instant, starting to consider with a positive sign the dynamic impedance of the first point of the first series.
[0053] Similarly, in relation to the impedance ZR of the reflected waves of pressure, for each point of the second series a respective reflected dynamic impedance Zd_R(t) is also determined, given by the ratio between the pressure value at that point and the distance of the respective time instant from the final instant of the beat. The value of the impedance ZR of the reflected waves of pressure is obtained by summing with alternate signs the thus determined dynamic impedances of the points of the second series, ordered according to their reverse time order starting from the final instant of the beat down to the instant of the initial diastolic pressure, starting to consider with a positive sign the dynamic impedance of the first point of the second series.
[0054] In other words, the impedances ZD of the direct wave and ZR of the reflected waves of pressure are each given by a respective series of terms (i.e. the respective direct and reflected dynamic impedances Zd_D(t) and Zd_R(t)) which are oscillating (since they are considered with alternate signs) the value of which progressively becomes smaller and smaller (since the value at denominator of the dynamic impedances progressively increases).
[0055] As said, the RES value is determined as ratio between the impedance ZD of the direct wave of pressure (determined on the basis of the first series of points) and the impedance ZR of the reflected waves of pressure (determined on the basis of the second series of points):
Such value of RES represents an energy efficiency for obtaining a given homeostasis of the whole cycle of the cardiocirculatory-respiratory system.
[0056] In the example (and not limiting) graph of Figure 6, the points belonging to the first series (series_1) are indicated with continuous vertical lines (from the time axis up to the pressure value at the related point) and the points belonging to the second series (series_2) are indicated with dotted vertical lines, whereby the points belonging to both the first and the second series are indicated with a pair of vertical lines (one continuous and the other dotted). As shown, the first series comprises (in the time order starting from the instant of the initial diastolic pressure up to the dicrotic point instant) the points indicated with p1, p2, p3, and p4, while the second series comprises (in the reverse time order starting from the final instant of the beat down to the instant of the initial diastolic pressure) the points indicated with pf, p6, p5, p4, p3, p2, p1, p0.
[0057] The value of the impedance ZD of the direct wave of pressure, for the beat shown in Figure 6, is equal to
while the value of the impedance ZR of the reflected waves of pressure is equal, by assuming that the period of the individual heart beat shown in Figure is T, to
[0058] Checking step D uses, as said, a characteristic set of conditions on the quantities obtained in steps B and C for determining whether the individual heart beat is affected by underdamping, i.e. whether the systolic pressure is over-estimated and the diastolic pressure is under-estimated or whether, on the contrary, the morphology of the heart beat is correct. If such evaluation detects that the heart beat is within the limits imposed by such characteristic set of conditions, then the method does not apply any frequency filter and gives (in step F) a measured pressure signal equal to the sampled pressure signal that is unchanged in its frequencies and amplitudes. Instead, if the characteristics of the heart beat under examination are within ranges defined by such characteristic set of conditions, step E corrects the sampled pressure signal by changing its spectrum by applying a low-pass filter of which it determines the cutoff frequency, and step B for analysing the sampled pressure signal thus obtained from filtering and step C for determining evaluation values are executed again, checking in a new step D whether the values of the obtained quantities are within the limits imposed by such characteristic set of conditions or not. In other words, the sampled pressure signal of the heart beat that is filtered once is analysed again: if the values of the obtained quantities are in accordance with the ranges defined by such characteristic set of conditions, then the method gives (in step F) a measured pressure signal equal to the sampled pressure signal obtained from the last filtering (without applying any further filtering); instead, if the values of the obtained quantities are not within the limits imposes by such characteristic set of conditions, then filtering is repeated, with a suitably selected cutoff frequency, and the method is iteratively executed again from step B until a signal is obtained the obtained quantities of which are in accordance with the ranges defined by such characteristic set of conditions.
[0059] In greater detail, step D checks whether, for the RES value determined in step C, the values of the first derivative dP/dt of the pressure signal and the values of the second derivative d2P/dt2 of the pressure signal in the whole beat under consideration are lower than respective values Td and Td2 of maximum threshold (functions of the RES value), and in such case it is not necessary to apply any filter to the pressure signal and the method passes to directly execute step F, otherwise the method passes to directly execute step E, by applying a low-pass filter to the pressure signal of which it determines the cutoff frequency, and returns to execute the steps starting from step B.
[0060] In particular, the possible values of RES are subdivided into three or more, preferably four, adjacent ranges of variability, and the values Td and Td2 depend on the range to which the RES value determined in step C belongs. Preferably:
- if the value of RES is not lower (or even larger) than a minimum threshold TRES_min not lower than 0,3, preferably not lower than 0,4, more preferably not lower than
0,5,
- the value Td of maximum threshold of the first derivative dP/dt of the pressure signal is not larger than 1,2 mmH/ms, preferably not larger than 1,1 mmH/ms, more preferably not larger than 1,0 mmH/ms, and
- the value Td2 of maximum threshold of the second derivative d2P/dt2 of the pressure signal is not larger than 0,2 mmH/ms2, preferably not larger than 0,17 mmH/ms2, more preferably not larger than 0,15 mmH/ms2,
- if the value of RES is variable within a first (mathematically open or closed) range
the lower endpoint of which is larger than 0 and the upper endpoint of which is not
larger than the minimum threshold TRES_min, the first range preferably varying from 0,3 a 0,5,
- the value Td of maximum threshold of the first derivative dP/dt of the pressure signal is not larger than 1,6 mmH/ms, preferably not larger than 1,4 mmH/ms, more preferably not larger than 1,2 mmH/ms, and
- the value Td2 of maximum threshold of the second derivative d2P/dt2 of the pressure signal is not larger than 0,25 mmH/ms2, preferably not larger than 0,22 mmH/ms2, more preferably not larger than 0,20 mmH/ms2,
- if the value of RES is variable within a second range (mathematically open or closed)
contiguous to and preceding the first range (in the sense that the lower endpoint
of the first range coincides with the upper endpoint of the second range), the lower
endpoint of which is not lower than 0, preferably equal to 0,
- the value Td of maximum threshold of the first derivative dP/dt of the pressure signal is not larger than 1,6 mmH/ms, preferably not larger than 1,4 mmH/ms, more preferably not larger than 1,2 mmH/ms, and
- the value Td2 of maximum threshold of the second derivative d2P/dt2 of the pressure signal is not larger than 0,35 mmH/ms2, preferably not larger than 0,30 mmH/ms2, more preferably not larger than 0,27 mmH/ms2, still more preferably not larger than 0,25 mmH/ms2,
- if the value of RES is lower (or even not larger) than a maximum threshold TRES_max coinciding with the lower endpoint of the second range,
- the value Td of maximum threshold of the first derivative dP/dt of the pressure signal is not larger than 2,0 mmH/ms, preferably not larger than 1,8 mmH/ms, more preferably not larger than 1,6 mmH/ms, and
- the value Td2 of maximum threshold of the second derivative d2P/dt2 of the pressure signal is not larger than 0,45 mmH/ms2, preferably not larger than 0,40 mmH/ms2, more preferably not larger than 0,37 mmH/ms2, still more preferably not larger than 0,35 mmH/ms2.
[0061] In the preferred embodiment of the method according to the invention, checking step D ascertains that it is not necessary to apply any filter to the pressure signal when any one of the following four sets of conditions is met:
- RES ≥ 0,5, the first derivative dP/dt is lower than 1,0 mmH/ms in the whole heart beat, and the second derivative d2P/dt2 is lower than 0,15 mmH/ms2 in the whole heart beat;
- 0,3 ≤ RES < 0,5, the first derivative dP/dt is lower than 1,2 mmH/ms in the whole heart beat, and the second derivative d2P/dt2 is lower than 0,2 mmH/ms2 in the whole heart beat;
- 0,0 ≤ RES < 0,3, the first derivative dP/dt is lower than 1,2 mmH/ms in the whole heart beat, and the second derivative d2P/dt2 is lower than 0,25 mmH/ms2 in the whole heart beat;
- RES < 0,0, the first derivative dP/dt is lower than 1,6 mmH/ms in the whole heart beat, and the second derivative d2P/dt2 is lower than 0,35 mmH/ms2 in the whole heart beat.
[0062] As said, step E selects the cutoff frequency of the low-pass filter, on the basis of the analysis of step B and of the determination of step C, and applies the low-pass filter to the sampled pressure signal. In particular, step E selects the cutoff frequency of the low-pass filter on the basis of the value of RES and of the values of the first derivative and of the values of the second derivative of the pressure signal in the whole heart beat, as follows: the values of RES are discriminated in three or more, preferably four, adjacent ranges of variability (preferably corresponding to those used in the check in step D), for each one of them the values of the first derivative dP/dt of the pressure signal are discriminated in three or more, preferably six, adjacent ranges of variability, and for at least one of the ranges of the values of the first derivative dP/dt the values of the second derivative d2P/dt2 of the pressure signal are discriminated in three or more, preferably four, non overlapping ranges of variability (adjacent to each other and, where applicable, adjacent to the range of values of the second derivative d2P/dt2 for which the method does not applies any low-pass filter), thus selecting a corresponding cutoff frequency of the low-pass filter to apply.
[0063] In the preferred embodiment of the method according to the invention, step E discriminates the values of RES in four adjacent ranges of variability (corresponding to those used in the check in step D), for each one of them discriminates the values of the first derivative dP/dt of the pressure signal in six adjacent ranges of variability, and for the first one of the ranges of the values of the first derivative dP/dt discriminates the values of the second derivative d2P/dt2 of the pressure signal in four adjacent ranges (subsequent to the range corresponding to the set of conditions for which no low-pass filter is applied). In greater detail, the preferred embodiment determines the cutoff frequency of the filter as follows:
- 1. if the value of RES meets the condition RES ≥ 0,5
1.1 if the values of the first derivative in the whole heart beat meet the condition
1.1.1 if the values of the second derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 15 Hz is applied;1.1.2 if the values of the second derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 12 Hz is applied;1.1.3 if the values of the second derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 8 Hz is applied;1.1.4 if the values of the second derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 7 Hz is applied;1.2 if the values of the first derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 12 Hz is applied;1.3 if the values of the first derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 8 Hz is applied;1.4 if the values of the first derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 7 Hz is applied;1.5 if the values of the first derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 6 Hz is applied;1.6 if the values of the first derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 3 Hz is applied; - 2. if the value of RES meets the condition 0,3 ≤ RES < 0,5
2.1 if the values of the first derivative in the whole heart beat meet the condition
2.1.1 if the values of the second derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 15 Hz is applied;2.1.2 if the values of the second derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 12 Hz is applied;2.1.3 if the values of the second derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 8 Hz is applied;2.1.4 if the values of the second derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 7 Hz is applied;2.2 if the values of the first derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 13 Hz is applied;2.3 if the values of the first derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 10 Hz is applied;2.4 if the values of the first derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 8 Hz is applied;2.5 if the values of the first derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 6 Hz is applied;2.6 if the values of the first derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 3 Hz is applied; - 3. if the value of RES meets the condition 0,0 ≤ RES < 0,3
3.1 if the values of the first derivative in the whole heart beat meet the condition
3.1.1 if the values of the second derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 15 Hz is applied;3.1.2 if the values of the second derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 12 Hz is applied;3.1:3 if the values of the second derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 8 Hz is applied;3.1.4 if the values of the second derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 5 Hz is applied;3.2 if the values of the first derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 13 Hz is applied;3.3 if the values of the first derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 10 Hz is applied;3.4 if the values of the first derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 8 Hz is applied;3.5 if the values of the first derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 6 Hz is applied;3.6 if the values of the first derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 3 Hz is applied; - 4. if the value of RES meets the condition RES < 0,0
4.1 if the values of the first derivative in the whole heart beat meet the condition
4.1.1 if the values of the second derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 15 Hz is applied;4.1.2 if the values of the second derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 12 Hz is applied;4.1.3 if the values of the second derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 11 Hz is applied;4.1.4 if the values of the second derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 10 Hz is applied;4.2 if the values of the first derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 13 Hz is applied;4.3 if the values of the first derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 10 Hz is applied;4.4 if the values of the first derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 8 Hz is applied;4.5 if the values of the first derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 6 Hz is applied;4.6 if the values of the first derivative in the whole heart beat meet the condition
a low-pass filter with cutoff frequency equal to 3 Hz is applied.
[0064] The values indicated for the lower and/or upper limits of the various adjacent ranges for the RES, of the various ranges of the first derivative dP/dt and of the various ranges of the second derivative d2P/dt2, as well as the values indicated for the selected cutoff frequencies, are only indicative and not restrictive, since they can be increased or decreased by an extent preferably not larger than 25%, more preferably not larger than 20%, still more preferably not larger than 15%, even more preferably not larger than 10%.
[0065] The inventor has verified through an frequency domain analysis of the frequency spectra of the sampled pressure signal of the heart beat and of its first and second derivates in the frequency domain the effectiveness of the application of the low-pass filter through the method according to the invention.
[0066] Finally, step F displays the sampled pressure signal, possibly obtained from the last filtering, on a display, so as to point out the measurement and morphology of the thus obtained pressure signal.
[0067] Figure 7 schematically shows a circuit implementation, that is immediately comprehensible to the skilled in the art, of a preferred embodiment of an automatic apparatus, that executes the method for measuring and processing blood pressure according to the invention. In particular, the circuit stage of Figure 7 uses one of three possible cutoff frequencies, respectively indicated with F1, F2 and F3; however, it is immediate for those skilled in the art to extend the circuit stage of Figure 7 to any number of cutoff frequencies. The microprocessor of the stage of Figure 7 analyses an input pressure signal, present at terminal IN, and determines which one of the three possible cutoff frequencies to apply through an electronic switch controlled by the same microprocessor so as to output, at terminal OUT, the filtered signal; moreover, it is immediate to provide the possibility that the microprocessor can apply again, if necessary, the analysing and selectively filtering steps also to the output signal at the terminal OUT (e.g. through a further electronic switch). It must be understood that the above could be also implemented via software also, through a computer program executing the automatic method for measuring and processing blood pressure according to the invention, without any need for any hardware.
[0068] The preferred embodiments have been above described and some modifications of this invention have been suggested, but it should be understood that those skilled in the art can make variations and changes, without so departing from the related scope of protection, as defined by the following claims.
A. having a sampled detected pressure signal P(t) for one or more heart beats, each heart beat starting at an initial instant coinciding with the one of the initial diastolic pressure point and ending at a final instant coinciding with the one of the subsequent diastolic pressure point and comprising a dicrotic point, each beat having a systolic phase going from the initial diastolic point to the dicrotic point; and
B. automatically analysing and discriminating morphology of the pressure signal P(t) sampled for each heart beat, determining instant and pressure value of one or more characteristic points of the pressure signal P(t) selected from the group comprising
- an initial diastolic pressure point,
- a systolic pressure point,
- a dicrotic point, and
- one or more resonance points, each one of which occurs in an instant wherein a second
derivative d2P/dt2 of the pressure signal P(t) has a local maximum,
at least one characteristic point of the pressure signal P(t) belonging to the systolic
phase of the heart beat under consideration and being different from the initial diastolic
pressure point;
C. for each heart beat, determining an energy efficiency RES through the following sub-steps:
C.1 determining a direct dynamic impedance Zd_D(t) for each one of said one or more characteristic points belonging to the systolic phase of the heart beat under consideration and different from the initial diastolic pressure point, said direct dynamic impedance Zd_D(t) being equal to the ratio between a value of the pressure signal P(t) at the characteristic point and the distance of the respective time instant from the initial instant of the heart beat under consideration, and determining an impedance ZD of a direct wave of pressure by summing with alternate signs the values of the direct dynamic impedances Zd_D(t) ordered according to a direct time order starting from the initial instant of the heart beat under consideration up to the dicrotic point instant, beginning to apply a positive sign to the direct dynamic impedance Zd_D(t) that is the first one in the direct time order;
C.2 determining a reflected dynamic impedance Zd_R(t) for each one of said one or more characteristic points, said reflected dynamic impedance Zd_R(t) being equal to the ratio between a value of the pressure signal P(t) at the characteristic point and the distance of the respective time instant from the final instant of the heart beat under consideration, and determining an impedance ZR of reflected waves of pressure by summing with alternate signs the values of the reflected dynamic impedances Zd_R(t) ordered according to a reverse time order starting from the final instant down to the initial instant of the heart beat under consideration, beginning to apply a positive sign to the reflected dynamic impedance Zd_R(t) that is the first one in the reverse time order;
C.3 determining said energy efficiency RES as ratio between the impedance ZD of the direct wave and the impedance ZR of the reflected waves:
D. for said energy efficiency RES determined in step C, checking whether a first derivative dP/dt of the pressure signal P(t) is lower than a first value Td of maximum threshold in the whole heart beat under consideration and whether the second derivative d2P/dt2 of the pressure signal P(t) is lower than a second value Td2 of maximum threshold in the whole heart beat under consideration, and in the case where the check has negative outcome making step E, otherwise, in the case where the check has positive outcome, making step F;
E. selecting a cutoff frequency of a low-pass filter on the basis of said energy efficiency RES determined in step C, of the first derivative dP/dt and of the second derivative d2P/dt2 of the pressure signal P(t), and applying said low-pass filter to the pressure signal P(t), thus obtaining a new sampled pressure signal, and returning to execute the preceding steps starting from step B;
F. outputting the pressure signal P(t) on which step B has been made for the last time.
B.2 determining a total number NdP_max of local maximum points of the first derivative dP/dt of the pressure signal P(t) in the heart beat under consideration;
B.3 determining local maximum points of the second derivative d2P/dt2 of the pressure signal P(t) in the heart beat under consideration; and
B.4 selecting a number NdP_max of local maximum points of the second derivative d2P/dt2 having largest values, determining NdP_max time instants td2P_max(i) wherein said NdP_max selected local maximum points of the second derivative d2P/dt2, occur, and assuming the points of the pressure signal P(t) in such NdP_max instants td2P_max(i) as resonance points.
- the initial diastolic pressure point,
- the systolic pressure point,
- the dicrotic point, and
- one or more resonance points.
- discriminating the belonging of said energy efficiency RES determined in step C to one of three or more, preferably four, adjacent ranges of variability,
- for each one of said three or more adjacent ranges of variability of said energy efficiency RES determined in step C, discriminating the belonging of the first derivative dP/dt of the pressure signal P(t) in the whole heart beat under consideration to one of three or more, preferably six, adjacent ranges of variability, and
- for each one of said three or more adjacent ranges of variability of the first derivative dP/dt of the pressure signal P(t) in the whole heart beat under consideration, discriminating the belonging of the second derivative d2P/dt2 of the pressure signal P(t) to one of three or more, preferably four, non overlapping ranges of variability, to which a respective value of said cutoff frequency corresponds.
A. Heranziehen eines erfassten Drucksignals P(t) für einen oder mehrere Herzschläge, wobei jeder Herzschlag zu einem anfänglichen Zeitpunkt beginnt, der mit dem des anfänglichen diastolischen Druckpunkts übereinstimmt, und mit einem abschließenden Zeitpunkt endet, der mit dem des nachfolgenden diastolischen Druckpunkts übereinstimmt, und der einen dikroten Punkt umfasst, wobei jeder Herzschlag eine systolische Phase umfasst, die von dem anfänglichen diastolischen Punkt zu dem dikroten Punkt reicht; und
B. Automatisches Analysieren und Unterscheiden der Morphologie des Drucksignals P(t), das für jeden Herzschlag abgetastet wurde, Ermitteln des Zeitpunktes und des Druckwertes eines oder mehrerer charakteristischer Punkte des Drucksignals P(t), die aus der Menge ausgewählt sind, die Folgendes umfasst:
- einen anfänglichen diastolischen Druckpunkt,
- einen systolischen Druckpunkt,
- einen dikroten Punkt, und
- einen oder mehrere Resonanzpunkte, von denen jeder zu einem Zeitpunkt auftritt,
an dem die zweite Ableitung d2P/dt2 des Drucksignals P(t) ein lokales Maximum hat,
wobei mindestens ein charakteristischer Punkt des Drucksignals P(t) zu der systolischen
Phase des untersuchten Herzschlags gehört und sich von dem anfänglichen diastolischen
Druckpunkt unterscheidet;
C. Ermitteln einer Energieeffizienz RES ("Result of the Energy ratio of the System", Energieverbrauchsrate) durch die folgenden Unterschritte:
C.1 Ermitteln einer direkten dynamischen Impedanz Zd_D(t) für jeden des einen oder der mehreren charakteristischen Punkte, die zu der systolischen Phase des untersuchten Herzschlags gehören und sich von dem anfänglichen diastolischen Druckpunkt unterscheiden, wobei die direkte dynamische Impedanz Zd_D(t) gleich dem Verhältnis zwischen dem Wert des Drucksignals P(t) an dem charakteristischen Punkt und dem Abstand des entsprechenden Zeitpunkts von dem anfänglichen Zeitpunkt des untersuchten Herzschlags ist, und Ermitteln einer Impedanz ZD einer direkten Welle des Drucks, indem mit alternierenden Vorzeichen die Werte der direkten dynamischen Impedanz Zd_D(t) summiert werden, sortiert gemäß einer direkten zeitlichen Reihenfolge, beginnend mit dem anfänglichen Zeitpunkt des untersuchten Herzschlags bis zu dem Zeitpunkt des dikroten Punkts, wobei der direkten dynamischen Impedanz Zd_D(t) anfänglich ein positives Vorzeichen zugeordnet wird, die die erste in der direkten Reihenfolge der Zeitpunkte ist;
C.2Ermitteln einer reflektierten dynamischen Impedanz Zd_R(t) für jeden des einen oder der mehreren charakteristischen Punkte, wobei die reflektierte dynamische Impedanz Zd_R(t) gleich dem Verhältnis zwischen dem Wert des Drucksignals P(t) an dem charakteristischen Punkt und dem Abstand des entsprechenden Zeitpunkts von dem abschließenden Zeitpunkt des untersuchten Herzschlags ist, und Ermitteln einer Impedanz ZR von reflektierten Wellen bzw. Kurven des Drucks, indem die Werte der reflektierten dynamischen Impedanzen Zd_R(t) mit alternierenden Vorzeichen summiert werden, sortiert gemäß einer umgekehrten zeitlichen Reihenfolge, beginnend von dem abschließenden Zeitpunkt bis zu dem anfänglichen Zeitpunkt des untersuchten Herzschlags, wobei der reflektierten dynamischen Impedanz Zd_R(t) anfänglich ein positives Vorzeichen zugeordnet wird, die die erste in der umgekehrten zeitlichen Reihenfolge ist;
C.3 Ermitteln der Energieeffizienz RES als Verhältnis zwischen der Impedanz ZD der direkten Welle und der Impedanz ZR der reflektierten Wellen:
D. Prüfen, für die Energieeffizienz RES, die in Schritt C ermittelt wurde, ob eine erste Ableitung dP/dt des Drucksignals P(t) niedriger als ein erster Wert Td eines maximalen Schwellenwerts in dem gesamten untersuchten Herzschlag ist und ob die zweite Ableitung d2P/dt2 des Drucksignals P(t) niedriger als ein zweiter Wert Td2 eines maximalen Schwellenwerts in dem gesamten untersuchten Herzschlags ist, und in dem Fall, in dem die Prüfung ein negatives Ergebnis hat, Ausführen des Schrittes E, andernfalls, in dem Fall, in dem die Prüfung ein positives Ergebnis hat, Ausführen des Schrittes F;
E. Auswählen einer Grenzfrequenz eines Tiefpass-Filters auf der Basis der Energieeffizienz RES, die in Schritt C ermittelt wurde, der ersten Ableitung dP/dt und der zweiten Ableitung d2P/dt2 des Drucksignals P(t) und Anwenden des Tiefpass-Filters auf das Drucksignal P(t), wodurch ein neues abgetastetes Drucksignal erhalten wird, und Zurückkehren, um die vorangegangenen Schritte auszuführen, beginnend bei Schritt B;
F. Ausgeben des Drucksignals P(t), auf das Schritt B ein letztes Mal angewendet wurde.
B.2Ermitteln einer Gesamtzahl NdP_max von lokalen Maximalstellen der ersten Ableitung dP/dt des Drucksignals P(t) des untersuchten Herzschlags;
B.3 Ermitteln der lokalen Maximalstellen der zweiten Ableitung d2P/dt2 des Drucksignals P(t) des untersuchten Herzschlags; und
B.4Auswählen einer Anzahl NdP_max von lokalen Maximalstellen der zweiten Ableitung d2P/dt2, die die größten Werte haben, Ermitteln von NdP_max Zeitpunkten td2P_max(i), an denen die NdP_max ausgewählten lokalen Maximalstellen der zweiten Ableitung d2P/dt2 auftreten, und Bestimmen der Punkte des Drucksignals P(t) zu den NdP_max Zeitpunkten td2P_max(i) als Resonanzpunkte.
- der anfängliche diastolische Druckpunkt,
- der systolische Druckpunkt,
- der dikrote Punkt, und
- ein oder mehrere Resonanzpunkte.
- Ermitteln, ob die Energieeffizienz RES, die in Schritt C ermittelt wurde, zu drei oder mehr, vorzugsweise vier, benachbarten Bereichen der Variabilität gehört,
- für jede der drei oder mehr benachbarten Bereichen der Variabilität der Energieeffizienz RES, die in Schritt C ermittelt wurde, Ermitteln, ob die erste Ableitung dP/dt des Drucksignals P(t) in dem gesamten untersuchten Herzschlag zu einem von drei, vorzugsweise sechs, benachbarten Bereichen der Variabilität gehört, und
- für jeden der drei oder mehr benachbarten Bereiche der Variabilität der ersten Ableitung dP/dt des Drucksignals P(t) in dem gesamten untersuchten Herzschlag, Ermitteln, ob die zweite Ableitung d2P/dt2 des Drucksignals P(t) zu einem von drei oder mehr, vorzugsweise vier, nicht überlappenden Bereichen der Variabilität gehört, zu denen ein entsprechender Wert der Grenzfrequenz gehört.
A. l'obtention d'un signal de pression P(t) détecté échantillonné pour un ou plusieurs battements de coeur, chaque battement de coeur commençant à un instant initial coïncidant avec le point de pression diastolique initial et se terminant à un instant final coïncidant avec le point de pression diastolique suivant et comprenant un point dicrote, chaque battement ayant une phase systolique allant du point diastolique initial au point dicrote ; et
B. l'analyse automatique et la discrimination de la morphologie du signal de pression P(t) échantillonné pour chaque battement de coeur, en déterminant l'instant et la valeur de pression d'un ou plusieurs points caractéristiques du signal de pression (Pt) sélectionné dans le groupe comprenant
- un point de pression diastolique initial,
- un point de pression systolique,
- un point dicrote, et
- un ou plusieurs points de résonance, chacun survenant à un instant auquel une dérivée
seconde d2P/dt2 du signal de pression P(t) a un maximum local,
au moins un point caractéristique du signal de pression P(t) appartenant à la phase
systolique du battement de coeur et étant différent du point de pression diastolique
initial ;
le procédé étant caractérisé en ce qu'il comprend en outre les étapes suivantes :
C. pour chaque battement de coeur, la détermination d'une efficacité énergétique RES par le biais des sous-étapes suivantes :
C.1 la détermination d'une impédance dynamique directe Zd_D(t) pour ledit/lesdits point(s) caractéristique(s) appartenant à la phase systolique du battement de coeur en considération et différent du point de pression diastolique initial, ladite impédance dynamique directe Zd_D(t) étant égale au rapport entre une valeur du signal de pression P(t) au point caractéristique et la distance de l'instant respectif par rapport à l'instant initial du battement de coeur en considération, et la détermination d'une impédance ZD d'une onde directe de pression en additionnant avec des signes alternés les valeurs des impédances dynamiques directes Zd_D(t) ordonnées selon un ordre temporel direct en partant de l'instant initial du battement de coeur jusqu'à l'instant du point dicrote, en commençant à appliquer un signe positif à l'impédance dynamique directe Zd_D(t) qui est la première dans l'ordre temporel direct ;
C.2 la détermination d'une impédance dynamique réfléchie Zd_R(t) pour ledit/lesdits point(s) caractéristique(s), ladite impédance dynamique réfléchie Zd_R(t) étant égale au rapport entre une valeur du signal de pression P(t) au point caractéristique et la distance de l'instant respectif par rapport à l'instant initial du battement de coeur en considération, et la détermination d'une impédance ZR d'ondes réfléchies de pression en additionnant avec des signes alternés les valeurs des impédances dynamiques réfléchies Zd_R(t) ordonnées selon un ordre temporel inverse, en partant de l'instant final et en allant jusqu'à l'instant initial du battement de coeur en considération, en commençant à appliquer un signe positif à l'impédance dynamique réfléchie Zd_R(t) qui est la première dans l'ordre temporel inverse ;
C.3 la détermination de ladite efficacité énergétique RES en tant que rapport entre
l'impédance ZD de l'onde directe et l'impédance ZR des ondes réfléchies :
D. pour ladite efficacité énergétique RES déterminée à l'étape C, la vérification du fait qu'une dérivée première dP/dt du signal de pression P(t) est ou non inférieure à une première valeur Td de seuil maximum dans l'ensemble du battement de coeur en considération et que la dérivée seconde d2P/dt2 du signal de pression P(t) est ou non inférieure à une seconde valeur Td2 de seuil maximum dans l'ensemble du battement de coeur en considération, et dans le cas où la vérification a un résultat négatif, réaliser l'étape E, sinon, dans le cas où la vérification a un résultat positif, réaliser l'étape F ;
E. la sélection d'une fréquence de coupure d'un filtre passe-bas sur la base de ladite efficacité énergétique RES déterminée à l'étape C, de la dérivée première dP/dt et de la dérivée seconde d2P/dt2 du signal de pression P(t) et l'application dudit filtre passe-bas au signal de pression P(t), afin d'obtenir un nouveau signal de pression échantillonné, et le retour à l'exécution des étapes précédentes en partant de l'étape B ;
F. la production en sortie du signal de pression P(t) sur lequel l'étape B a été réalisée pour la dernière fois.
B.2 la détermination d'un nombre total NdP_max de points de maximum local de la dérivée première dP/dt du signal de pression P(t) dans le battement de coeur en considération ;
B.3 la détermination de points de maximum local de la dérivée seconde d2P/dt2 du signal de pression P(t) dans le battement de coeur en considération ; et
B.4 la sélection d'un nombre total NdP_max de points de maximum local de la dérivée seconde d2P/dt2 ayant les valeurs les plus élevées, la détermination de NdP_max instants td2P_max(i) où lesdits NdP_max points de maximum local sélectionnés de la dérivée seconde d2P/dt2 sont présents, et en supposant que les points du signal de pression P(t) dans lesdits NdP_max instants td2P_max(i) sont des points de résonance.
- le point de pression diastolique initial,
- le point de pression systolique,
- le point dicrote, et
- un ou plusieurs points de résonance.
- discrimination de l'appartenance de ladite efficacité énergétique RES déterminée à l'étape C à l'une de trois ou plus, de préférence quatre, plages de variabilité adjacentes,
- pour chacune desdites trois ou plus plages de variabilité adjacentes de ladite efficacité énergétique RES déterminée à l'étape C, discrimination de l'appartenance de la dérivée première dP/dt du signal de pression P(t) dans l'ensemble du battement de coeur en considération à l'une de trois ou plus, de préférence six, plages de variabilité adjacentes, et
- pour chacune desdites trois ou plus plages de variabilité adjacentes de la dérivée première dP/dt du signal de pression P(t) dans l'ensemble du battement de coeur, discrimination de l'appartenance de la dérivée seconde d2P/dt2 du signal de pression P(t) à l'une de trois ou plus, de préférence quatre, plages de variabilité non chevauchantes, à laquelle correspond une valeur respective de ladite fréquence de coupure.
REFERENCES CITED IN THE DESCRIPTION
This list of references cited by the applicant is for the reader's convenience only. It does not form part of the European patent document. Even though great care has been taken in compiling the references, errors or omissions cannot be excluded and the EPO disclaims all liability in this regard.
Patent documents cited in the description
Non-patent literature cited in the description
- R.M. GARDNERDirect Blood Pressure Measurement - Dynamic Response RequirementsAnesthesiology, 1981, vol. 54, 3227-236 [0009]