A METHOD AND SYSTEM FOR MONITORING INTERNAL ELECTRICAL IMPEDANCE OF A BIOLOGICAL OBJECT

20170347910 · 2017-12-07

    Inventors

    Cpc classification

    International classification

    Abstract

    Method and system for monitoring an internal electrical impedance of a biological object including Internal Thoracic Impedance (ITI) comprising placing two arrays of electrodes on opposite sides of the biological object, wherein each of said two arrays comprise three equally spaced electrodes; imposing an alternating electrical current between pairs of the electrodes and obtaining voltage signals representative of a voltage drop thereon, calculating two values of internal electrical impedance of the biological object corresponding to the uttermost electrodes of said two arrays of electrodes placed on the opposite sides of the biological object.

    Claims

    1. A method for monitoring an internal electrical impedance of a biological object, comprising the steps of: i) placing two arrays of electrodes on opposite sides of the biological object, wherein each of said two arrays comprise three equally spaced electrodes; ii) imposing an alternating electrical current between pairs of said electrodes and obtaining voltage signals representative of a voltage drop thereon, iii) calculating two values of internal electrical impedance of the biological object corresponding to the uttermost electrodes of said two arrays of electrodes placed on the opposite sides of the biological object.

    2. The method of claim 1 wherein said internal electrical impedance of a biological object includes an Internal Thoracic Impedance (ITI).

    3. The method of claim 2 further comprising comparing said two calculated values of internal electrical impedance therebetween.

    4. The method of claim 3 further comprising a denying or an acceptance of said two calculated values of internal electrical impedance based on the comparison result.

    5. The method of claim 4 wherein said denying of acceptance is based on exciding or non-exciding a pre-determined threshold value of the comparison result accordingly.

    6. The method of claim 5 wherein said pre-determined threshold value is about 3 Ohm.

    7. The method of claim 4 further comprising repeating the steps ii) and iii) till the acceptance of said two calculated values of internal electrical impedance.

    8. The method of claim 7 further comprising averaging of said two calculated values of internal electrical impedance.

    9. The method of claim 1 wherein said alternating electrical current has a value from 0.5 to 5 mA.

    10. (canceled)

    11. The method of claim 1 wherein said alternating electrical current has a frequency from 50 to 200 KHz.

    12. The method of claim 11 wherein said alternating electrical current includes alternating current of any periodic waveform.

    13. The method of claim 1 wherein a number of said imposing is defined by number of combinations by said pairs of electrodes.

    14-20. (canceled)

    21. A method of impedance plethysmography comprising the steps of: i. placing two arrays of electrodes on opposite sides a patient thorax, wherein each of said two arrays comprise three equally spaced electrodes; ii. imposing an alternating electrical current between pairs of said electrodes and obtaining voltage signals representative of a voltage drop thereon, iii. calculating two values of internal electrical impedance of the biological obj ect corresponding to the uttermost electrodes of said two arrays of electrodes placed on the opposite sides of the biological object.

    22. The method of claim 21 further comprising comparing said two calculated values of Internal Thoracic Impedance (ITI) therebetween.

    23. The method of claim 22 further comprising a denying or an acceptance of said two calculated values of Internal Thoracic Impedance (ITI) based on the comparison result.

    24. The method of claim 23 wherein said denying of acceptance is based on exciding or non-exciding a pre-determined threshold value of the comparison result accordingly.

    25. (canceled)

    26. The method of claim 24 further comprising repeating the steps ii) and iii) till the acceptance of said two calculated values of internal electrical impedance.

    27. The method of claim 26 further comprising averaging of said two calculated values of internal electrical impedance.

    28-31. (canceled)

    32. The method of claim 21 whreein a number of said imposing is defined by number of combinations by said pairs of electrodes.

    33. The method of claim 21 wherein the steps i-iii are performed at least twice during the monitoring.

    34-40. (canceled)

    Description

    BRIEF DESCRIPTION OF THE DRAWINGS

    [0025] In order to better understand the subject matter that is disclosed herein and to exemplify how it may be carried out in practice, embodiments will now be described, by way of non-limiting example only, with reference to the accompanying drawings, in which:

    [0026] FIG. 1 illustrates components of Transthoracic Impedance (TTI) with depiction of the thoracic cross-section.

    [0027] FIG. 2 is a schematic illustration of two arrays of electrodes of impedance plethysmography device used to monitor pulmonary edema;

    [0028] FIG. 3 is a partial schematic illustration of device according to one preferred embodiment

    [0029] FIG. 4 schematically illustrates electric circuitry composed by plethysmography device electrodes and biological object (skin/lung) according to one preferred embodiment of the present invention;

    [0030] FIG. 5 schematically illustrates electric circuitry composed by plethysmography device electrodes and biological object (skin/lung) according to another preferred embodiment of the present invention, and

    [0031] FIG. 6 is a schematic block diagram of the system according to the present invention

    DETAILED DESCRIPTION OF EMBODIMENTS

    [0032] Reference is made to FIGS. 2 and 3 exemplifying the main principles of the invention.

    [0033] As shown in FIGS. 2 and 3 two arrays of electrodes 101-103 and 104-106 of a system 100 for measuring internal electrical impedance are placed on opposite sides of biological object 108. An analog multiplexer 110 controlled by control unit CU performs selective connecting electrodes 101-106 to a current source 112 and a voltage measurement unit 114. Selective connecting of electrodes 101-106 could form pre-determined sets of electrodes comprising desired number of electrodes of any one or both arrays of electrodes.

    [0034] Sets formed by electrodes placed on the same side of biological object 108 i.e. 101-103 or 104-106 forms “reference” circuits and sets formed by at least two electrodes of different group's forms measurement circuits. It should be noted that pre-determined sets of electrodes comprise at least two electrodes. Analog multiplexer 110 is capable to connect any desired combinations of electrodes 101-106 forming pre-determined sets.

    [0035] Preferably each array comprises three equally spaced electrodes and are placed on opposite sides of the biological object, e.g. opposite sides of the thorax of a patient in case of impedance plethysmography (as illustrated specifically in FIG. 2).

    [0036] Current source 112 supplies alternative electrical current of substantially identical intensity, e.g. of about 0.5-5 mA between electrodes of any predetermined set.

    [0037] For impedance plethysmography preferably, current from about 1 mA to about 2 mA at a frequency of between about 50 KHz and about 200 KHz is used. Current of about 1 mA most preferably could be used. The term “frequency”, as used herein, refers to the fundamental frequency of a periodic waveform, so that the scope of the present invention includes alternating current of any periodic waveform, for example square, saw, etc. waves, and not just sinusoidal alternating current.

    [0038] A voltage drop V across the measurement and reference circuits is measured by voltage measurement unit 114 while imposing an alternative current between circuit's electrodes. Generally, voltage drop across the measurement circuits being indicative of (proportional) a total impedance of the biological object and voltage drop across the reference circuits being indicative of (proportional) skin-electrode impedance.

    [0039] The inventors have found that for improving impedance plethysmography all possible sets each including only pair of electrodes (forming both measurement and reference circuits) could be used. In that case, number of sets (pairs) is defined by number of combinations by pairs of electrodes.

    [0040] It is to be understood that the preferred embodiment of FIG. 3 is illustrative. In particular, the scope of the present invention is not restricted to circuitry in which voltage drops across the measurement circuit and the reference circuits are measured explicitly, but rather includes all circuitry which accomplished the ends of the method of the present invention, using signals representative of the voltage drops across measurement circuit and the reference circuits respectively.

    [0041] Referring to FIG. 4, preferably not all measurement circuits could be used directly for characterizing Internal Thoracic Impedance (ITI) as will be explained furtherbelow. For example, calculated internal impedances corresponding only to the measurement circuits formed by pairs of uttermost electrodes of opposite arrays (101, 106) and (103,104) could be used. Values of seven internal impedances corresponding to the rest measurement circuits including pairs of electrodes of opposite arrays are not calculated. However, impedance of these measurement circuits are used for calculating values of Internal Thoracic Impedance (ITI) based on some physical assumptions as will be explained furtherbelow.

    [0042] Using of plurality of measured impedances corresponding to measurement circuits performing measurements on different areas of lung could improve accuracy of measurements due to decreasing effect of possible local non-uniformities or anomalies such as bullae within the lungs. Hence, during ITI monitoring (for a long period) the measurements could be performed periodically with replacement of measuring electrodes. Some deviation in location of measuring electrodes could occur and in such cases local non-uniformities or anomalies such as bullae could cause sufficient variations of measurement results. Using a plurality of electrodes covering different areas of lung (with different current ways) and “averaging” obtained ITI measured results could reduce such negative effect caused by local non-uniformities or anomalies. In addition, multiple measurements used for calculating internal impedance(s) also could improve accuracy of obtained result.

    [0043] Turning back to FIG. 4, the configuration and operation of the system 10 of the invention is now more specifically exemplified, effective electric circuit (circuitry) composed by plethysmography device electrodes and biological object (skin/lung). Effective electric circuit is based on physical assumption that the total impedance measured across two electrodes placed on opposite sides of the biological object is the sum of two impedances: the impedance of the skin-electrode contacts and the internal impedance of the body.

    [0044] Generally the impedance Z.sub.M of any measurement circuit formed by set of electrodes is the sum of the following impedances:


    Z.sub.M=Z.sub.IN+Z.sub.A+Z.sub.B   (A)

    [0045] Where:

    [0046] Z.sub.IN—the internal impedance of biological object (e.g. ITI);

    [0047] Z.sub.A—“transition” impedance which includes the impedance of first electrode; the impedance of the skin-electrode contact of electrode; and skin impedance;

    [0048] Z.sub.B—“transition” impedance which includes the impedance of second electrode; the impedance of the skin-electrode contact of electrode; and skin impedance.

    [0049] On the other hand, the impedance of any reference circuit formed by set of electrodes is representative of “transition” impedances only, i.e. the sum of the following impedances:


    Z.sub.R=Z.sub.A+Z.sub.B   (B),

    [0050] Where:

    [0051] Z.sub.A—“transition” impedance which includes the impedance of first electrode; the impedance of the skin-electrode contact of electrode; and skin impedance;

    [0052] Z.sub.B—“transition” impedance which includes the impedance of second electrode; the impedance of the skin-electrode contact of electrode; and skin impedance

    [0053] Thus, internal impedance of biological object (e.g. ITI in our case) Z.sub.IN could be calculated using voltage drops across measurement and reference circuits based on effective electric circuitry illustrated in FIG. 4. At least two measurement circuits formed by sets comprising electrodes with substantially equal (similar) distance therebetween are used according to the present invention.

    [0054] Measurement and reference circuits of the present invention could be characterized by the following impedances:

    [0055] Z.sub.1—impedance of electrode and skin-electrode contact of electrode 101;

    [0056] Z.sub.2—impedance of electrode and skin-electrode contact of electrode 102;

    [0057] Z.sub.3—impedance of electrode and skin-electrode contact of electrode 103;

    [0058] Z.sub.11—impedance of electrode and skin-electrode contact of electrode 104;

    [0059] Z.sub.12—impedance of electrode and skin-electrode contact of electrode 105;

    [0060] Z.sub.13—impedance of electrode and skin-electrode contact of electrode 106;

    [0061] Z.sub.4—skin impedance between electrode 101 and 102; Z.sub.5—skin impedance between electrode 102 and 103;

    [0062] Z.sub.9—skin impedance between electrode 104 and 105;

    [0063] And Z.sub.10—skin impedance between electrode 105 and 106.

    [0064] Sets of electrodes forming measurement circuits could comprise from minimum two up to all electrodes of both groups of electrodes while sets of electrodes forming reference circuits could comprise from minimum two and up to all electrodes of one of the groups of electrodes.

    [0065] In order to be able calculate plurality (at least two) internal impedances of biological object (e.g. ITI) appropriate number of measurements by should be performed.

    [0066] Reference is made to FIG. 5 exemplifying the effective electric circuit (circuitry) composed by plethysmography device electrodes and biological object (skin/lung) according to preferred embodiment of the present invention. According to this embodiment each set of electrodes forming measurement and reference circuits comprise a pair of electrodes and number of sets (pairs) is defined by number of combinations by pairs of all electrodes. For six electrode's scheme, e.g. used in Edema Guard Monitor (EGM) model RS-001 (RS Medical Monitoring, Israel) total number of sets (pairs) is 15 and accordingly 15 measurement sessions providing 15 values of impedance M.sub.1-M.sub.15 are performed. Each of measurement session defines impendences of whether of measurement or reference circuits calculated according to Ohm's Law based on the measured values of voltage drops. According to the present invention, internal impedance Z.sub.in of biological object (lung in the present example) could be calculated using the following 15 measured impedances M.sub.1-M.sub.15 of 15 circuits formed by pairs of electrodes:


    Z.sub.1+Z.sub.6+Z.sub.11=M.sub.1


    Z.sub.1+Z.sub.4+Z.sub.2=M.sub.2


    Z.sub.2+Z.sub.5+Z.sub.3=M.sub.3


    Z.sub.1+Z.sub.4+Z.sub.5+Z.sub.3=M.sub.4


    Z.sub.2+Z.sub.7+Z.sub.12=M.sub.5


    Z.sub.3+Z.sub.8+Z.sub.13=M.sub.6


    Z.sub.11+Z.sub.9+Z.sub.12=M.sub.7


    Z.sub.12+Z.sub.10+Z.sub.13=M.sub.8


    Z.sub.11+Z.sub.9+Z.sub.10+Z.sub.13=M.sub.9


    Z.sub.1+Z.sub.14+Z.sub.12=M.sub.10


    Z.sub.2+Z.sub.16+Z.sub.11=M.sub.11


    Z.sub.2+Z.sub.15+Z.sub.13=M.sub.12


    Z.sub.3+Z.sub.17+Z.sub.12=M.sub.13


    Z.sub.1+Z.sub.19+Z.sub.13=M.sub.14


    Z.sub.11+Z.sub.18+Z.sub.3=M.sub.15

    [0067] Where in addition to impendences presented in FIG. 3 as described above, two additional impendences Z.sub.18 and Z.sub.19 are introduced being internal impedances of biological object (e.g. ITI) corresponding to measurement circuit composed by pairs of “uttermost” opposite electrodes (101,106) and (103,104).

    [0068] According to the present invention totally 19 values of impedances including impedances of electrodes and skin-electrode contacts and 9 internal impedances of biological object (e.g. ITI) (Z.sub.6, Z.sub.7, Z.sub.8, Z.sub.14, Z.sub.15, Z.sub.16, Z.sub.17, Z.sub.18and Z.sub.19) could be obtained by solving a system of the above 15 linear equations corresponding to 15 measurement sessions. The following physical assumption should be applied in order to be able to get 19 values from 15 linear equations: Z.sub.6=Z.sub.7=Z.sub.8 and Z.sub.14=Z.sub.15=Z.sub.16=Z.sub.17.

    [0069] In that case 19 values of impedances could be calculated as following:


    Z.sub.1=(2M.sub.1+2M.sub.2+2M.sub.3−2M.sub.4−2M.sub.5+M.sub.10−M.sub.11):2


    Z.sub.2=(M.sub.2+M.sub.3−M.sub.4):2


    Z.sub.3=(2M.sub.13−M.sub.10+2M.sub.1+2M.sub.2+2M.sub.3−2M.sub.4−2M.sub.5−M.sub.11):2


    Z.sub.4=(2M.sub.5−2M.sub.1−M.sub.2−3M.sub.3+3M.sub.4−M.sub.10+M.sub.11):2


    Z.sub.5=(M.sub.10−2M.sub.1−3M.sub.2−M.sub.3+3M.sub.4+2M.sub.5+M.sub.11−2M.sub.13):2


    Z.sub.6=Z.sub.7=Z.sub.8


    Z.sub.7=(2M.sub.5−M.sub.2−M.sub.3+M.sub.4−M.sub.7−M.sub.8+M.sub.9):2


    Z.sub.9=(2M.sub.5−M.sub.11+M.sub.10−2M.sub.1−M.sub.2−M.sub.3+M.sub.4−2M.sub.8+2M.sub.9):2


    Z.sub.10=(2M.sub.5−2M.sub.7+2M.sub.9−2M.sub.12+M.sub.10−2M.sub.1−M.sub.2−M.sub.3+M.sub.4+M.sub.11):2


    Z.sub.11=(M.sub.11−M.sub.10+2M.sub.1+M.sub.2+M.sub.3−M.sub.4−2M.sub.5+M.sub.7+M.sub.8−M.sub.9):2


    Z.sub.12=(M.sub.7+M.sub.8−M.sub.9):2


    Z.sub.13=(2M.sub.12−M.sub.10+M.sub.7+M.sub.8−M.sub.9+2M.sub.1+M.sub.2+M.sub.3−M.sub.4−2M.sub.5−M.sub.11):2


    Z.sub.14=(M.sub.10−2M.sub.1−2M.sub.2−2M.sub.3+2M.sub.4+2M.sub.5+M.sub.11−M.sub.7−M.sub.8+M.sub.9):2


    Z.sub.14=Z.sub.15=Z.sub.16=Z.sub.17


    Z.sub.18=(2M.sub.14−4M.sub.1−3M.sub.2−3M.sub.3+3M.sub.4+4M.sub.5+2M.sub.11−2M.sub.12−M.sub.7−M.sub.8+M.sub.9):2


    Z.sub.19=(2M.sub.15+2M.sub.10−4M.sub.1−3M.sub.2−3M.sub.3+3M.sub.4+4M.sub.5−M.sub.7−M.sub.8+M.sub.9−2M.sub.13):2

    [0070] Performing maximal possible number of measurements for multi-electrode (six- in the present example) system provides most efficient way of system operation.

    [0071] Preferably, only values of internal impedances Z.sub.18 and Z.sub.19 corresponding to measurement circuits defined by “uttermost” opposite electrodes could be calculated and used for characterizing internal impedance of the biological object (e.g. ITI). Since the inter-electrodes space in that case covers maximum biological object (e.g. lung) tissue these measurements could be most representative of variations of liquid amount within the lung tissue.

    [0072] Combing (e.g. averaging) of calculated values internal impedances Z.sub.18 and Z.sub.19 could sufficiently improve accuracy of measurements by further decreasing affecting of possible local non-uniformities or anomalies within the lungs.

    [0073] The inventors have found that internal impedance of biological object Z.sub.18 and Z.sub.19 (lung in the present example) could be calculated based on assumption that ITI corresponding to measurement circuits with similar distance between electrodes have substantially the close values.

    [0074] To this end, impedances Z.sub.6, Z.sub.7 and Z.sub.8 corresponding to measurement circuits comprising opposite electrodes, such as first outer electrodes 101-104, internal electrodes 102-105 and second outer electrodes 103-106 are considered as having substantially the same values:


    Z.sub.6=Z.sub.7=Z.sub.8

    [0075] Also internal impedances Z.sub.14, Z.sub.15, Z.sub.16 and Z.sub.17 are considered as having substantially the same values:


    Z.sub.14=Z.sub.15=Z.sub.16=Z.sub.17

    [0076] If lung tissue does not include heterogeneous structures and is homogenous on the pass of electromagnetic signals, internal impedances Z.sub.6, Z.sub.7, Z.sub.8 as well Z.sub.14, Z.sub.15, Z.sub.16, Z.sub.17 will have substantially equal values. In that case, accuracy of calculated internal impedances Z.sub.18 and Z.sub.19 will increase due to performing maximal possible number of measurements.

    [0077] When lung tissue includes heterogeneous structures within the pass of electromagnetic signal between at least one pair of electrodes, there could be some difference between the values of internal impedances in at least one of the groups Z.sub.6, Z.sub.7, Z.sub.8 and Z.sub.14, Z.sub.15, Z.sub.16 Z.sub.17. In such case value of internal impedances used for calculating will be effectively “averaged” and effect of heterogeneous structures on calculated impedances Z.sub.18 and Z.sub.19 will be decrease.

    [0078] According to another preferred embodiment, In order to provide even more accurate measurements, calculated values of Z.sub.18 and Z.sub.19 could be compared therebetween.

    [0079] Since the measurements are performed on live non-static biological object, e.g. human patient, various parts of breath cycle, un-controlled movements etc. could cause substantial changes of measurement conditions. Such changes could affect obtained values of internal impedances and decrease accuracy of final calculated result. To this end, pre-set value of difference between Z.sub.18 and Z.sub.19 could be used for measurements verification. Such pre-set value typically could be selected not exceeding 3 Ohms.

    [0080] In case when difference between values of Z.sub.18 and Z.sub.ig does not exceeded (is less) pre-set value such measurement session(s) will be accepted and calculated values Z.sub.18 and Z.sub.19 could be used for diagnostic purposes. Additionally, averaging of calculated values Z.sub.18 and Z.sub.19 could be performed. Contrary, in case when difference between values of Z.sub.18 and Z.sub.19 does increase pre-set value such measurement session(s) will be rejected or discarded. Further, measurement session(s) could be repeated till acceptable result will be obtained as described above.

    [0081] Appropriate utility of control unit (e.g. control unit 306 of FIG. 6) could be provided enabling comparing of calculated values of internal impedance of biological object (e.g. ITI) and performing additional measurement sessions. In addition, inputting and storing of the above-mentioned pre-set value could be performed using appropriate

    [0082] Input/Output interface—IOI and data storage unit.

    [0083] The calculation of the actual impedance values of the skin-electrode contacts of electrodes 101 106 enables to carry out long-term monitoring of the electrical impedance of a biological object with compensation for skin-electrode resistance drifts, even when the impedance values of the skin-electrode contacts are substantially different.

    [0084] Reference is made to FIG. 5 exemplifying the configuration of system 100 of the present invention specifically useful for impedance plethysmography. As shown in FIG. 5 system 100 according to the present invention preferably includes: current source 300; analog multiplexer 302 for alternately connecting current source 300 to predetermined set of electrodes forming whether measurement or reference electrical circuits; a voltage measurement unit 304; a control unit 306 that includes data processing utility 308 for carrying out calculations; a data-storage unit (memory) 310 for storing data during the measurement sessions and monitoring period; a controller utility 312 for controlling the operation of units of system 100 such as current source 300, analog multiplexer 302, voltage measurement unit 304, etc.; data Input/Output interface-IOI 314. Data IOI 314 could include appropriate buttons, display, touch-screen enabling input of commands, data, etc. for operating the system 100 and displaying operating status of the system and measurement data. An alarm unit also could be provided (not-shown)

    [0085] Data processing utility 308 could comprise appropriate SW and HW that is connectable to data-storage unit 310, data 101 315 and optionally to alarm unit. These SW and HW provide operation of system 100 according to the method described above.

    [0086] System 100 could be powered from external (e.g. AC) and/or internal (e.g. battery) sources by means of a power supply (not shown).

    [0087] Voltage measurement unit 304 typically includes rectifier (not shown) for obtaining the absolute value of the signals representing the voltage drops and analog to digital A/D converter for converting analog signals to a digital form signal compatible with data processing utility 308.

    [0088] When using a device according to the present invention, electrical source 300 is alternately connected to each of the electrical circuits formed by pre-determined sets of electrodes 101-106 shown in FIG. 5 by means of analog multiplexer (commutator) 302. Signal representing the voltage drop of a specific electrical circuit is fed voltage measurement unit 304 which preferably provides signal in digital form. The obtained digital signal is fed into control unit 306 for storing in data-storage unit (memory) 310 for further processing by data processing utility 308.

    [0089] Control unit 306 orders analog multiplexer (commutator) 302 to form pre-determined number and configurations of measurement and reference circuits, e.g. 15 for six-electrodes scheme with two-electrodes sets of electrodes.

    [0090] After data-storage unit (memory) 310 has received data from each of electrical circuits, data processing utility 308 can calculate the internal impedances Z.sub.IN (values of Z.sub.18 and Z.sub.19) according to the method described above. Data processing utility 308 also could perform additional processing of multiple measurement results, e.g. comparison of values of Z.sub.18 and Z.sub.ig and their combining due to pre-set algorithm (averaging, weighing, etc.).

    [0091] Preferably, when performing a monitoring of a biological object the process described above is carried out periodically, so that Data processing utility 308 can simultaneously calculate the values of the internal impedance Z.sub.IN as well as changes therein. The change in Z.sub.IN may be calculated, for example, as the difference between the last value and the initial or previously measured value(s) or as a percentage therefrom. The results of the calculations could be transmitted to data 101 interface 14 and displayed by internal or external display, to data-storage unit (memory) 310, and to optional alarm unit.

    [0092] In the event that the value of Z.sub.IN has decreased below a critical value, and/or in the event that the change in Z.sub.IN has exceeded a critical value, the alarm could be activated.

    [0093] Data-storage unit (memory) 310 may provide data for analysis during the monitoring period so as to monitor the progress of the disease.

    [0094] Thus, the present invention provides an effective and reliable technique for measuring the internal electrical impedance of a biological object and specifically Transthoracic impedance which can be used for effective monitoring in time of lung liquid volume status.

    [0095] Those skilled in the art will readily appreciate that various modifications and changes can be applied to the embodiments of the invention hereinbefore described without departing from its scope defined in and by the appended claims.