WikiPatents - Community Patent Review
Create Free Account  |  License or Sell Your Patent  |  WikiPatents Marketplace  |  WikiPatents Blog
Username:  Password:  
    
Advanced Search
Method and apparatus for indicating perfusion and oxygen saturation trends in oximetry    
United States Patent4869253   
Link to this pagehttp://www.wikipatents.com/4869253.html
Inventor(s)Craig, Jr.; Kenneth C. (Bellevue, WA); Gauglitz; Karl F. (Kirkland, WA); Losh; G. Michael (Mercer Island, WA); Mason; Lee R. (Issaquah, WA); Nova; Richard C. (Kirkland, WA); Taylor; James W. (Bothell, WA); Prosser; Stephen J. (Lynnwood, WA)
AbstractThe present invention discloses a method and apparatus for indicating perfusion and oxygen saturation trends in oximetry. In transmittance and reflectance oximetry, LEDs (40, 42) are typically employed to expose tissue to light at two different wavelengths. The light transmitted through, or reflected by, the tissue is received by a detector (38) where signals proportional to the intensity of light are produced. These signals are then processed by oximeter circuitry (14, 16) to determine oxygen saturation, pulse rate, and perfusion. Displays (20) are provided including a display (132, 134) of the change in the oxygen saturation during a specified interval. This display may include first (132) and second (134) trend indication displays that indicate when the oxygen saturation has either been increasing or decreasing at a rate in excess of some predetermined level. Preferably, these displays are triangular, upwardly and downwardly directed light-emitting diodes. A digital display (138) of the change in oxygen saturation may also be provided. A second type of display included provides pulse and perfusion information, with the perfusion being displayed as a logarithmic function of the actual perfusion. This display comprises an aligned array of light-emitting diodes (136) with the number of LED's lit imaging the plethysmigraphic waveform, peak to peak scaling is employed which is indicative of signal level and perfusion.
   














 Title Information Submit all comments and votes
 
Patent Text Patent PDF Print Page Summary File History
Plain text PDF images Print Summary File History
Inventor     Craig, Jr.; Kenneth C. (Bellevue, WA); Gauglitz; Karl F. (Kirkland, WA); Losh; G. Michael (Mercer Island, WA); Mason; Lee R. (Issaquah, WA); Nova; Richard C. (Kirkland, WA); Taylor; James W. (Bothell, WA); Prosser; Stephen J. (Lynnwood, WA)
Owner/Assignee     Physio-Control Corporation (Redmond, WA)
Patent assignment
All assignments
Publication Date     September 26, 1989
Application Number     06/897,662
PAIR File History     Application Data   Transaction History
Image File Wrapper   Patent Term   Fees
Litigation
Filing Date     August 18, 1986
US Classification     600/323 340/573.1 345/39 600/334
Int'l Classification     A61B 005/00
Examiner     Cohen; Lee S.
Assistant Examiner     Hanley; John C.
Attorney/Law Firm     Christensen, O'Connor, Johnson & Kindness
Address
Parent Case    
Priority Data    
USPTO Field of Search     128/633 128/634 128/664 128/665 128/666 340/573 340/753
Patent Tags     indicating perfusion oxygen saturation trends oximetry
   
Enter a comma (,) or semicolon (;) between multiple tag words/phrases.
Describe this patent:
 Amusing   
 Clever   
 Complex   
 Efficient   
 Historic   
 Important   
 Innovative   
 Interesting   
 Practical   
 Simple   
[no votes]
Patent WIKI

Share information and news about this patent, including information and news about the technology, inventors, company, ligation and licensing.

 References Submit all comments and votes
 
*references marked with an asterisk below are user-added references
 U.S. References
 
Add a new US reference:  
ReferenceRelevancyCommentsReferenceRelevancyComments
2706927



[0 after 0 votes]
3894533



[0 after 0 votes]
4765340
Sakai
600/324
Aug,1988

[0 after 0 votes]
4697450
Bachman
73/23.2
Oct,1987

[0 after 0 votes]
4689615
Del Rosso
345/440.2
Aug,1987

[0 after 0 votes]
4653498
New, Jr.
600/324
Mar,1987

[0 after 0 votes]
4463762
Rubens
600/328
Aug,1984

[0 after 0 votes]
4461301
Ochs
600/301
Jul,1984

[0 after 0 votes]
4453218
Sperinde
600/331
Jun,1984

[0 after 0 votes]
4450843
Barney
600/503
May,1984

[0 after 0 votes]
4407290
Wilber
600/330
Oct,1983

[0 after 0 votes]
4266554
Hamaguri
600/323
May,1981

[0 after 0 votes]
4222389
Rubens
600/328
Sep,1980

[0 after 0 votes]
4167331
Nielsen
356/39
Sep,1979

[0 after 0 votes]
4114604
Shaw
600/339
Sep,1978

[0 after 0 votes]
4109634
Garabedian
123/198F
Aug,1978

[0 after 0 votes]
4086915
Kofsky
600/330
May,1978

[0 after 0 votes]
4013067
Kresse
600/479
Mar,1977

[0 after 0 votes]
3998550
Konishi
356/39
Dec,1976

[0 after 0 votes]
3847483
Shaw
356/41
Nov,1974

[0 after 0 votes]
3704706
Herczfeld
600/324
Dec,1972

[0 after 0 votes]
 Foreign References
 Other References
 Market Review Submit all comments and votes
   
Market Size
Estimate the gross annual revenues of the relevant market sector:
> $10B
$5B - $10B
$2B - $5B
$500M - $2B
$100M - $500M
$10M - $100M
$1M - $10M
$500K - $1M
$100K - $500K
< $100K
[No votes]
$0
 
$0   $2.5B   $5B   $7.5B   $10B
Market Share
Estimate the percentage of the relevant market sector this invention will capture:
75% - 100%
50% - 74.99%
25% - 49.99%
10 - 24.99%
5 - 9.99%
2 - 4.99%
1 - 1.99%
< 1%
[No votes]
0.0%
 
0%   25%   50%   75%   100%
Reasonable Royalty
What percentage of gross sales should the inventor or assignee be paid?
75% - 100%
50% - 74.99%
25% - 49.99%
10 - 24.99%
5 - 9.99%
2 - 4.99%
1 - 1.99%
< 1%
[No votes]
0.0%
 
0%   25%   50%   75%   100%
Public's "Guesstimation" of Royalty Value
Market SizeN/A[No votes]
xMarket ShareN/A[No votes]
xReasonable RoyaltyN/A[No votes]

N/A

License Availablity
If you are NOT the owner or assignee, answer here:
Yes, license is available for purchase

No, license is not currently available



[No votes]
License Availablity
If you ARE the owner or assignee, answer here:
Yes, license is available for purchase

No, license is not currently available



[No votes]
Competitive Advantage
Does this invention have a significant competitive advantage over similar technologies?
Yes

No



[No votes]
Most helpful competitive advantage comment
[No comments]

Commercial Alternatives
Are there viable commercial alternatives for this invention?
Yes

No



[No votes]
Most helpful commercial alternative comment
[No comments]

 Technical Review Submit all comments and votes
 Claims Submit all comments and votes
 


The embodiments of the invention in which an exclusive property or privilege is claimed are defined as follows:

1. An apparatus, for processing signals containing information about the oxygen saturation of arterial blood flowing in tissue, comprising:

processing means for determining the oxygen saturation of said arterial blood flowing in said tissue from said signals; and

display means for producing a numeric representation of the change in said oxygen saturation during a specified interval.

2. The apparatus of claim 1, further comprising first and second trend indication displays, said first trend indication display producing an output when said oxygen saturation has increased by a first predetermined amount during said specified interval, said second trend indication display producing an output when said oxygen saturation has decreased by a second predetermined amount during said specified interval.

3. A method of processing signals containing information about the oxygen saturation of arterial blood flowing in tissue comprising the steps of:

producing an indication of the oxygen saturation of said arterial blood flowing in said tissue from said signals; and

producing a numeric representation of the change in said oxygen saturation during a specified interval.

4. The method of claim 3, wherein said step of displaying said output further comprises the steps of producing a first display when said oxygen saturation has increased by a first predetermined amount during said specified interval and producing a second display when said oxygen saturation is decreased by a second predetermined amount during said specified interval.
 Description Submit all comments and votes
 


BACKGROUND OF THE INVENTION

This invention relates to oximetry and, more particularly, to signal-processing techniques employed in oximetry.

The arterial oxygen saturation and pulse rate of an individual may be of interest for a variety of reasons. For example, in the operating room up-to-date information regarding oxygen saturation can be used to signal changing physiological factors, the malfunction of anaesthesia equipment, or physician error. Similarly, in the intensive care unit, oxygen saturation information can be used to confirm the provision of proper patient ventilation and allow the patient to be withdrawn from a ventilator at an optimal rate.

In many applications, particularly including the operating room and intensive care unit, continual information regarding pulse rate and oxygen saturation is important if the presence of harmful physiological conditions is to be detected before a substantial risk to the patient is presented. A noninvasive technique is also desirable in many applications, for example, when a home health care nurse is performing a routine check-up, because it increases both operator convenience and patient comfort. Pulse transmittance oximetry is addressed to these problems and provides noninvasive, continual information about pulse rate and oxygen saturation. The information produced, however, is only useful when the operator can depend on its accuracy. The method and apparatus of the present invention are, therefore, directed to the improved accuracy of such information without undue cost.

As will be discussed in greater detail below, pulse transmittance oximetry basically involves measurement of the effect arterial blood in tissue has on the intensity of light passing therethrough. More particularly, the volume of blood in the tissue is a function of the arterial pulse, with a greater volume present at systole and a lesser volume present at diastole. Because blood absorbs some of the light passing through the tissue, the intensity of the light emerging from the tissue is inversely proportional to the volume of blood in the tissue. Thus, the emergent light intensity will vary with the arterial pulse and can be used to indicate a patient's pulse rate. In addition, the absorption coefficient of oxyhemoglobin (hemoglobin combined with oxygen, HbO.sub.2) is different from that of deoxygenated hemoglobin (Hb) for most wavelengths of light. For that reason, differences in the amount of light absorbed by the blood at two different wavelengths can be used to indicate the hemoglobin oxygen saturation, % SaO.sub.2 (OS), which equals ([HbO.sub.2 ]/([Hb]+[HbO.sub.2 ])).times.100%. Thus, measurement of the amount of light transmitted through, for example, a finger can be used to determine both the patient's pulse rate and hemoglobin oxygen saturation.

As will be appreciated, the intensity of light transmitted through a finger is a function of the absorption coefficient of both "fixed" components, such as bone, tissue, skin, and hair, as well as "variable" components, such as the volume of blood in the tissue. The intensity of light transmitted through the tissue, when expressed as a function of time, is often said to include a baseline component, which varies slowly with time and represents the effect of the fixed components on the light, as well as a periodic pulsatile component, which varies more rapidly with time and represents the effect that changing tissue blood volume has on the light. Because the attenuation produced by the fixed tissue components does not contain information about pulse rate and arterial oxygen saturation, the pulsatile signal is of primary interest. In that regard, many of the prior art transmittance oximetry techniques eliminate the so-called "DC" baseline component from the signal analyzed.

For example, in U.S. Pat. No. 2,706,927 (Wood) measurements of light absorption at two wavelengths are taken under a "bloodless" condition and a "normal" condition. In the bloodless condition, as much blood as possible is squeezed from the tissue being analyzed. Then, light at both wavelengths is transmitted through the tissue and absorption measurements made. These measurements indicate the effect that all nonblood tissue components have on the light. When normal blood flow has been restored to the tissue, a second set of measurements is made that indicates the influence of both the blood and nonblood components. The difference in light absorption between the two conditions is then used to determine the average oxygen saturation of the tissue, including the effects of both arterial and venous blood. As will be readily apparent, this process basically eliminates the DC, nonblood component from the signal that the oxygen saturation is extracted from.

For a number of reasons, however, the Wood method fails to provide the necessary accuracy. For example, a true bloodless condition is not practical to obtain. In addition, efforts to obtain a bloodless condition, such as by squeezing the tissue, may result in a different light transmission path for the two conditions. In addition to problems with accuracy, the Wood approach is both inconvenient and time consuming.

A more refined approach to pulse transmittance oximetry is disclosed in U.S. Pat. No. 4,167,331 (Nielson). The disclosed oximeter is based upon the principle that the absorption of light by a material is directly proportional to the logarithm of the light intensity after having been attenuated by the absorber, as derived from the Beer-Lambert law. The oximeter employs light-emitting diodes (LEDs) to produce light at red and infrared wavelengths for transmission through tissue. A photosensitive device responds to the light produced by the LEDs and attenuated by the tissue, producing an output current. That output current is amplified by a logarithmic amplifier to produce a signal having AC and DC components and containing information about the intensity of light transmitted at both wavelengths. Sample-and-hold circuits demodulate the red and infrared wavelength signals. The DC components of each signal are then blocked by a series bandpass amplifier and capacitors, eliminating the effect of the fixed absorptive components from the signal. The resultant AC signal components are unaffected by fixed absorption components, such as hair, bone, tissue, skin. An average value of each AC signal is then produced. The ratio of the two averages is then used to determine the oxygen saturation from empirically determined values associated with the ratio. The AC components are also used to determine the pulse rate.

Another reference addressed to pulse transmittance oximetry is U.S. Pat. No. 4,407,290 (Wilber). In that reference, light pulses produced by LEDs at two different wavelengths are applied to, for example, an earlobe. A sensor responds to the light transmitted through the earlobe, producing a signal for each wavelength having a DC and AC component resulting from the presence of constant and pulsatile absorptive components in the earlobe. A normalization circuit employs feedback to scale both signals so that the DC nonpulsatile components of each are equal and the offset voltages removed. Decoders separate the two signals, so controlled, into channels A and B where the DC component from each is removed. The remaining AC components of the signals are amplified and combined at a multiplexer prior to analog-to-digital (A/D) conversion. Oxygen saturation is determined by a digital processor in accordance with the following relationship: ##EQU1## wherein empirically derived data for the constants X.sub.1, X.sub.2, X.sub.3 and X.sub.4 is stored in the processor.

European patent application No. 83304939.8 (New, Jr. et al.) discloses an additional pulse transmittance oximeter. Two LEDs expose a body member, for example, a finger, to light having red and infrared wavelengths, with each LED having a one-in-four duty cycle. A detector produces a signal in response that is then split into two channels. The one-in-four duty cycle allows negatively amplified noise signals to be integrated with positively amplified signals including the detector response ane noise, thereby eliminating the effect of noise on the signal produced. The resultant signals include a substantially constant DC component and a pulsatile AC component. To improve the accuracy of a subsequent analog-to-digital (A/D) conversion, a fixed DC value is subtracted from the signal prior to the conversion. This level is then added back in by a microprocessor after the conversion. Logarithmic analysis is avoided by the microprocessor in the following manner. For each wavelength of light transmitted through the finger, a quotient of the pulsatile component over the constant component is determined. The ratio of the two quotients is then determined and fitted to a curve of independently derived oxygen saturations. To compensate for the different transmission characteristics of different patients' fingers, an adjustable drive source for the LEDs is provided. In addition, an apparatus for automatically calibrating the device is disclosed.

European patent application No. 83304938.0 (New, Jr. et al.) discloses a pulse oximeter monitor having a variety of displays. For example, digital displays of oxygen saturation and pulse rate are provided. In addition, an indicator having a plurality of LEDs is provided wherein the number of LEDs strobed is proportional to the magnitude of the pulse and the strobe rate is proportional to the pulse. An audible tone signal is provided having a pitch that is proportional to the oxygen saturation and a repetition rate that is proportional to pulse. Adjustable alarm limits are provided for high and low pulse rates as well as oxygen saturation levels. Separate selector switches indicate the alarm limit to be adjusted and a limit knob is used to set the level. Default limits are initially assigned to these values and in the event an alarm limit is exceeded, a constant-pitch, continuous audible tone is produced. Upon start-up, a sync status light indicates that a pulse has not been established.

While the displays disclosed by New, Jr. et al. provide information to the oximeter operator, additional information may be advantageously extracted by the oximeter. It is the display of certain types of this additional information to which the present invention is directed.

SUMMARY OF THE INVENTION

According to the present invention, an apparatus is disclosed for processing signals containing information about the oxygen saturation of arteria blood flowing in tissue. The apparatus includes a processor that determines the oxygen saturation of the arterial blood flowing in the tissue from the signals and a display that produces an output indicative of the change in the oxygen saturation during a specified interval.

In accordance with a particular aspect of the invention, the display means includes first and second trend indication displays. The first trend indication display produces an output when the oxygen saturation has increased by a first predetermined amount during the specified interval. Similarly, the second trend indication display produces an output when the oxygen saturation has decreased by a second predetermined amount during the specified interval. The first predetermined amount, second predetermined amount, and specified interval can be selectively controlled. With, for example, the first and second predetermined amounts being set at a three percent change in oxygen saturation and the specified interval being set at two minutes. The first trend indication display may be extinguished when the oxygen saturation fails to increase by a third predetermined amount over a second specified interval (e.g., 2.5% over 2 minutes), and the second trend indication display extinguished when the oxygen saturation fails to decrease by a fourth predetermined amount over the second predetermined interval (e.g., 2.5% over 2 minutes). In one embodiment, the first and second trend indication displays are upwardy and downwardly directed triangular light-emitting diodes. As an alternative to, or for use in conjunction with, the first and second trend indication displays, the display may provide a numeric representation of the change in oxygen saturation.

In accordance with another aspect of the invention, an apparatus is disclosed for processing signals containing information about the pulse rate and perfusion of arterial blood flowing therein. A detection means produces signals that are proportional to the intensity of light received from the tissue in response to the illumination. Processing means then determine the oxygen saturation, pulse rate, and perfusion of the arterial blood from the signals produced by the detection means. An output indicative of the pulse rate and perfusion is produced by a display means, with the perfusion being displayed as a logarithmic function of the perfusion determined by the processing means.

In accordance with further aspects of the invention, the display means may automatically scale the perfusion displayed to produce a full-scale display at peak perfusion when the signal level exceeds a predetermined level. The display means may conveniently comprise an aligned array of light-emitting diodes, with the number of light-emitting diodes lit at any one time imaging pleth. Waveform, peak to peak scaling is employed which is indicative of signal level and perfusion.

BRIEF DESCRIPTION OF THE DRAWINGS

The invention can best be understood by reference to the following portion of the specification, taken in conjunction with the accompanying drawings in which:

FIG. 1 is block diagram of an oximeter including a sensor, input/output (I/O) circuit, microcomputer, alarm, displays, power supply, and keyboard;

FIG. 2 is a block diagram illustrating the transmission of light through an absorptive medium;

FIG. 3 is a block diagram illustrating the transmission of light through the absorptive medium of FIG. 2, wherein the medium is broken up into elemental components;

FIG. 4 is a graphical comparison of the incident light intensity to the emergent light intensity as modeled in FIG. 2;

FIG. 5 is a graphical comparison of the specific absorption coefficients for oxygenated hemoglobin and deoxygenated hemoglobin as a function of the wavelength of light transmitted therethrough;

FIG. 6 is a block diagram illustrating the transmission of light through a block model of the components of a finger;

FIG. 7 is a graphical comparison of empirically derived oxygen saturation measurements related to a measurable value determined by the oximeter;

FIG. 8 is a schematic illustration of the transmission of light at two wavelengths through a finger in accordance with the invention;

FIG. 9 is a graphical plot as a function of time of the transmittance of light at the red wavelength through the finger;

FIG. 10 is a graphical plot as a function of time of the transmission of infrared light through the finger;

FIG. 11 is a more detailed schematic of the I/O circuit illustrated in the system of FIG. 1;

FIG. 12 is a schematic diagram of a conventional current-to-voltage amplifier circuit;

FIG. 13 is a schematic diagram of a differential, current-to-voltage preamplifier circuit included in the I/O circuit of FIG. 1;

FIG. 14 is a graphical representation of the possible ranges of I/O circuit output, showing the desired response of the I/O circuit and microcomputer at each of the various possible ranges;

FIG. 15 is a more complete schematic diagram of the microcomputer illustrated in FIG. 1;

FIG. 16 is a more complete schematic diagram of the power source illustrated in FIG. 1;

FIG. 17 is a detailed view of the front panel of an oximeter constructed in accordance with the present invention illustrating some of the displays employed; and

FIG. 18 is an alternative display for use on the front panel shown in FIG. 17 to indicate oxygen saturation trends.

DETAILED DESCRIPTION

Referring to the overall system block diagram shown in FIG. 1, a pulse transmittance oximeter 10 employing this invention includes a sensor 12, input/output (I/O) circuit 14, microcomputer 16, power source 18, display 20, keyboard 22 and alarm 24. Before discussing these elements in detail, however, an outline of the theoretical basis of pulse transmittance oximetry as practiced by the oximeter of FIG. 1 is provided.

An understanding of the relevent theory begins with a discussion of the Beer-Lambert law. This law governs the absorption of optical radiation by homogeneous absorbing media and can best be understood with reference to FIGS. 2 and 3 in the following manner.

As shown in FIG. 2, incident light having an intensity I.sub.0 impinges upon an absorptive medium 26. Medium 26 has a characteristic absorbance factor A that indicates the attenuating affect medium 26 has on the incident light. Simlarly, a transmission factor T for the medium is defined as the reciprocal of the absorbance factor, I/A. The intensiy of the light I.sub.1 emerging from medium 26 is less than I.sub.0 and can be expressed functionally as the product TI.sub.0. With medium 26 divided into a number of identical components, each of unit thickness (in the direction of light transmission) and the same transmission factor T, the effect of medium 26 on the incident light I.sub.0 is as shown in FIG. 3.

There, medium 26 is illustrated as consisting of three components 28, 30, and 32. As will be appreicated, the intensity I.sub.1 of the light emerging from component 28 is equal to the incident light intensity I.sub.0 multiplied by the transmission factor T. Component 30 has a similar effect on light passing therethrough. Thus, because the light incident upon component 30 is equal to the product TI.sub.0, the emergent light intensity I.sub.2 is equal to the product TI.sub.1 or T.sup.2 I.sub.0. Component 32 has the same effect on light and, as shown in FIG. 3, the intensity of the emergent light I.sub.3 for the entire medium 26 so modeled is equal to the product TI.sub.2 or T.sup.3 I.sub.0. If the thickness d of medium 26 is n unit lengths, it can be modeled as including n identical components of unit thickness. It will then be appreciated that the intensity of light emerging from medium 26 can be designated I.sub.n and the product is equal to T.sup.n I.sub.0. Expressed as a function of the absorbance constant A, I.sub.n can also be written as the product (1/A.sup.n)I.sub.0.

From the preceding discussion, it will be readily appreicated that the absorptive effect of medium 26 on the intensity of the incident light I.sub.0 is one of exponential decay. Because A may be an inconvenient base to work with, I.sub.n can be rewritten as a function of a more convenient base, b, by recognizing that A.sup.n is equal to b.sup..alpha.n, where .alpha. is the absorbance of medium 26 per unit length. The term .alpha. is frequently referred to as the relative extinction coefficient and is equal to log.sub.b A.

Given the preceding discussion, it will be appreciated that the intensity of the light I.sub.n emerging from medium 26 can be expressed in base 10 (where .alpha.=.alpha..sub.1) as I.sub.0 10.sup.-.alpha. 1.sup.n, or in base e (where .alpha.=.alpha..sub.2) as I.sub.0 e.sup.-.alpha. 2.sup.n. The effect that the thickness of medium 26 has on the emergent light intensity I.sub.n is graphically depicted in FIG. 4. If the light incident upon medium 26 is established as having unit intensity, FIG. 4 also represents the transmission factor T of the entire medium as a function of thickness.

The discussion above can be applied generally to the medium 26 shown in FIG. 2 to produce:

I.sub.1 =I.sub.0 e.sup.-.alpha.d (1)

where I.sub.1 is the emergent light intensity, I.sub.0 is the incident light intensity, .alpha. is the absorbance coefficient of the medium per unit length, d is the thickness of the medium in unit lengths, and the exponential nature of the relationship has arbitrarily been expressed in terms of base e. Equation (1) is commonly referred to as the Beer-Lambert law of exponential light decay through a homogeneous absorbing medium.

With this basic understanding of the Beer-Lambert law, a discussion of its application to the problems of pulse rate and hemoglobin oxygen saturation measurement is now presented. As shown in FIG. 5, the absorption coefficients for oxygenated and deoxygenated hemoglobin are different at every wavelength, except an isobestic wavelength. Thus, it will be appreciated that if a person's finger is exposed to incident light and the emergent light intensity measured, the difference in intensity between the two, which is the amount of light absorbed, contains information relating to the oxygenated hemoglobin content of the blood in the finger. The manner in which this information is extracted from the Beer-Lambert law is discussed below. In addition, it will be appreciated that the volume of blood contained within an individual's finger varies with the individual's pulse. Thus, the thickness of the finger also varies slightly with each pulse, creating a changing path length for light transmitted through the finger. Because a longer lightpath allows additional light to be absorbed, time-dependent information relating to the difference between the incident and emergent light intensities can be used to determine the individual's pulse. The manner in which this information is extracted from the Beer-Lambert law is also discussed below.

As noted in the preceding paragraph, information about the incident and emergent intensities of light transmitted through a finger can be used to determine oxygen saturation and pulse rate. The theoretical basis for extracting the required information, however, is complicated by several problems. For example, the precise intensity of the incident light applied to the finger is not easily determined. Thus, it may be necessary to extract the required information independently of the intensity of the incident light. Further, because the changing volume of blood in the finger and, hence, thickness of the lightpath therethrough, are not exclusively dependent upon the individual's pulse, it is desirable to eliminate the changing path length as a variable from the computations.

The manner in which the Beer-Lambert law is refined to eliminate the incident intensity and path length as variables is as follows. With reference to FIG. 6, a human finger is modeled by two components 34 and 36, in a manner similar to that shown in FIG. 3. Baseline component 34 models the unchanging absorptive elements of the finger. This component includes, for example, bone, tissue, skin, hair, and baseline venous and arterial blood and has a thickness designated d and an absorbance .alpha..

Pulsatile component 36 represents the changing absorptive portion of the finger, the arterial blood volume. As shown, the thickness of this component is designated .DELTA.d, representing the variable nature of the thickness, and the absorbance of this arterial blood component is designated .alpha..sub.A representing the arterial blood absorbance.

As will be appreciated from the earlier analysis with respect to FIG. 3, the light I.sub.1 emerging from component 34 can be written as a function of the incident light intensity I.sub.0 as follows:

I.sub.1 =I.sub.0 e.sup.-.alpha.d (2)

Likewise, the intensity of light I.sub.2 emerging from component 36 is a function of its incident light intensity I.sub.1, and:

I.sub.2 =I.sub.1 e.sup.-.alpha. A.sup..DELTA.d (3)

Substitution of the expression for I.sub.1 developed in equation (2) for that used in equation (3), where simplified results in the following expression for the intensity I.sub.2 of light emerging from the finger as a function of the intensity of light I.sub.0 incident upon the finger:

I.sub.2 =I.sub.0 e.sup.-[.alpha.d+.alpha. A.sup..DELTA.d] (4)

Because our interest lies in the effect on the light produced by the arterial blood volume, the relationship between I.sub.2 and I.sub.1 is of particular interest. Defining the change in transmission produced by the arterial component 36 as T.sub..DELTA.A, we have:

T.sub..DELTA.A =I.sub.2 /I.sub.1 (5)

Substituting the expressions for I.sub.1 and I.sub.2 obtaind in equations (2) and (3), respectively, equation (5)