Noninvasive methods and apparatuses for measuring the intraocular pressure of a mammal eye

• US 20040193033A1
• Filed: 04/05/2004
• Published: 09/30/2004
• Est. Priority Date: 10/04/2002
• Status: Abandoned Application

• Current Assignee: Arieh Glazer, Avner Pierre Badehi, Raphael Klein
• Original Assignee: Arieh Glazer, Avner Pierre Badehi, Raphael Klein
• Inventors: Klein, Raphael, Badehi, Avner Pierre, Glazer, Arieh
• Application Number:
  US10/818,716
• Publication Number:
  US 20040193033A1
• Time in Patent Office: Days
• US Class Current: 600/402
• CPC Class Codes: A61B 3/165 Non-contacting tonometers
• CPC Class Codes: A61B 8/10 Eye inspection

Abstract

Noninvasive methods and apparatuses measuring the intraocular pressure (IOP) of the eye using vibratory excitation are disclosed. Prior art methods teaches that the natural frequencies of the eye vary as a function of the IOP, with each natural frequency being zero at zero IOP. The present invention recognizes that the eye has different and separate classes of natural frequencies that vary as function of the IOP, which have non-zero values for a zero value of IOP, and which have curves that extrapolate to negative IOPs to obtain zero values of frequency. Preferred methods and apparatuses of the present invention measure a first natural frequency of this class at an unknown IOP value, and thereafter compare it to one or more known values of the first natural frequency measured at corresponding known IOPs to estimate value of the unknown IOP. Preferred embodiments include measuring one or more additional natural frequencies.

Claims

1-57. -57. (cancelled without prejudice).

58. A method of estimating the intraocular pressure of an eye of a mammal with a gaseous environment around a portion of its surface, the gaseous environment having a pressure, the intraocular pressure being the difference between the pressure inside the eye and the pressure of the gaseous environment, said method comprising the steps of:

(a) measuring a first frequency value of a first vibratory frequency of the eye at a portion of the sclera or cornea of the eye at an unknown intraocular pressure, said first vibratory frequency being associated with a corresponding first vibratory mode of the eye and having a value that varies as a first function of the eye'"'"'s intraocular pressure, the first function having a form that extends or extrapolates to a non-zero frequency value for a zero value of intraocular pressure and to a zero frequency value for a negative value of intraocular pressure; and

(b) comparing the first measured frequency value to one or more known frequency values of the first vibratory frequency measured at corresponding known intraocular pressures to estimate value of the unknown intraocular pressure; and

wherein step (a) comprising the steps of;

applying a plurality of vibrations at a plurality of frequencies to the eye, at least some of the vibrations causing one or more portions of the eye'"'"'s surface to undergo an oscillatory motion;

measuring the phase of the vibratory motion of a portion of the eye'"'"'s surface relative to the applied vibrations, said step including obtaining several phase measurements at each of the vibration frequencies and averaging the phase measurements at each vibration frequency; and

selecting the first measured vibratory frequency as a first frequency of the applied vibrations at which the measured phase of the vibratory motion lags the phase of the applied vibrations by approximately one of a plurality of selected degree amounts.

59. The method of claim 58 further comprising the step of:

(c) measuring a second frequency value of a second vibratory frequency of the eye at the portion of sclera or cornea of the eye at the unknown intraocular pressure value, said second vibratory frequency being associated with a corresponding second vibratory mode of the sclera and having a value that varies as a second function of the eye'"'"'s intraocular pressure, the second function having a form that extends or extrapolates to a non-zero frequency value for a zero value of intraocular pressure and to a zero frequency value for a negative value of intraocular pressure; and

wherein step (b) comprises the step of comparing the first and second measured frequency values measured at the unknown intraocular pressure to the one or more known values of the first vibratory frequency, to the known intraocular pressures corresponding thereto, and to one or more known values of the second vibratory frequency measured at corresponding known intraocular pressures to estimate value of the unknown intraocular pressure.

60. The method of claim 59 wherein the plurality selected degree amounts of step (a) comprises 90 and 270 degrees, and wherein step (c) comprises the steps of:

applying a plurality of vibrations at a plurality of frequencies to the eye, at least some of the vibrations causing one or more portions of the eye'"'"'s surface to undergo an oscillatory motion;

measuring the phase of the vibratory motion of a portion of the eye'"'"'s surface relative to the applied vibrations, said step including obtaining several phase measurements at each of the vibration frequencies and averaging the phase measurements at each vibration frequency; and

selecting the second measured vibratory frequency as a second frequency of the applied vibrations at which the measured phase of the vibratory motion lags the phase of the applied vibrations by approximately 90 or 270 degrees.

61. The method of claim 59 wherein the first measured vibratory frequency and the second measured vibratory frequency differ from one other by at least 50 Hz.

62. The method of claim 58 wherein step (b) comprises the step of comparing the first measured frequency value to a first known value of the first vibratory frequency measured at a corresponding first known intraocular pressure and outputing an indication that the unknown pressure is above the first known intraocular pressure when the first measured frequency value is greater than the known value of the first vibratory frequency, and outputing an indication that the unknown pressure is below the first known intraocular pressure when the first measured frequency value is less than the known value of the first vibratory frequency.

63. The method of claim 58 wherein step (b) comprises the steps of:

computing a frequency difference between the first measured frequency value and a first known value of the first vibratory frequency measured at a corresponding first known intraocular pressure;

generating a pressure differential by multiplying the difference by a pre-computed factor which relates changes in intraocular pressure to changes in frequency value; and

generating the estimate of the unknown intraocular pressure as the first known intraocular pressure plus the pressure differential.

64. The method of claim 58 wherein step (b) comprises the steps of:

computing a squared-frequency difference between the square of the first measured frequency value and the square of a first known value of the first vibratory frequency measured at a corresponding first known intraocular pressure;

generating a pressure differential multiplying the squared-frequency difference by a pre-computed factor which relates changes in intraocular pressure to changes in squared frequency values; and

generating the estimate of the unknown intraocular pressure as the first known intraocular pressure plus the pressure differential.

65. The method of claim 58 wherein step (b) comprises the steps of:

forming a mathematical relationship for the first vibratory mode which is mathematically equivalent to;

(f₁)²=A₀+A₁Δ

p,

where f₁ is an input frequency value of the mathematical relationship, where Δ

p is the output pressure of the mathematical relationship, and where A₀ and A₁ are constants derived from the one or more known frequency values of the first vibratory frequency measured at the corresponding known intraocular pressures; and

generating the estimate of the unknown intraocular pressure as being equal to Δ

p from the mathematical relationship with f₁ being set equal to the first measured frequency value.

66. The method of claim 65 wherein the constants A₀ and A₁ are generated from a first measurement f_1,1 of the first vibratory frequency measured at a first known intraocular pressure Δ

p₁ and a second measurement f_2,1 of the first vibratory frequency measured at a second intraocular pressure Δ

p₂ according to forms which are mathematically equivalent to;

A₁=[(f_2,1)²−

(f_1,1)²]/(Δ

p₂−

Δ

p₁), and A₀=½

[(f_2,1)²+(f_1,1)²]−

½

(Δ

p₁+Δ

p₂)·

A₁.

67. A method of estimating the intraocular pressure of an eye of a mammal with a gaseous environment around a portion of its surface, the gaseous environment having a pressure, the intraocular pressure being the difference between the pressure inside the eye and the pressure of the gaseous environment, said method comprising the steps of:

(a) measuring a first frequency value of a first vibratory frequency of the eye at a portion of the sclera or cornea of the eye at an unknown intraocular pressure, said first vibratory frequency being associated with a corresponding first vibratory mode of the eye and having a value that varies as a first function of the eye'"'"'s intraocular pressure, the first function having a form that extends or extrapolates to a non-zero frequency value for a zero value of intraocular pressure and to a zero frequency value for a negative value of intraocular pressure; and

(b) comparing the first measured frequency value to one or more known frequency values of the first vibratory frequency measured at corresponding known intraocular pressures to estimate value of the unknown intraocular pressure; and

wherein step (a) comprising the steps of;

applying a plurality of vibrations at a plurality of frequencies to the eye, at least some of the vibrations causing one or more portions of the eye'"'"'s surface to undergo an oscillatory motion;

measuring the phase of the vibratory motion of a portion of the eye'"'"'s surface relative to the applied vibrations, said measuring step occurring at a pre-selected part of the blood pulsation period of the mammal; and

selecting the first measured vibratory frequency as a first frequency of the applied vibrations at which the measured phase of the vibratory motion lags the phase of the applied vibrations by approximately one of a plurality of selected degree amounts.

68. The method of claim 67 further comprising the step of:

(c) measuring a second frequency value of a second vibratory frequency of the eye at the portion of sclera or cornea of the eye at the unknown intraocular pressure value, said second vibratory frequency being associated with a corresponding second vibratory mode of the sclera and having a value that varies as a second function of the eye'"'"'s intraocular pressure, the second function having a form that extends or extrapolates to a non-zero frequency value for a zero value of intraocular pressure and to a zero frequency value for a negative value of intraocular pressure; and

wherein step (b) comprises the step of comparing the first and second measured frequency values measured at the unknown intraocular pressure to the one or more known values of the first vibratory frequency, to the known intraocular pressures corresponding thereto, and to one or more known values of the second vibratory frequency measured at corresponding known intraocular pressures to estimate value of the unknown intraocular pressure.

69. The method of claim 68 wherein the plurality selected degree amounts of step (a) comprises 90 and 270 degrees, wherein step (c) comprises the steps of:

applying a plurality of vibrations at a plurality of frequencies to the eye, at least some of the vibrations causing one or more portions of the eye'"'"'s surface to undergo an oscillatory motion;

measuring the phase of the vibratory motion of a portion of the eye'"'"'s surface relative to the applied vibrations, said measuring step occuring at a pre-selected part of the blood pulsation period of the mammal; and

selecting the second measured vibratory frequency as a second frequency of the applied vibrations at which the measured phase of the vibratory motion lags the phase of the applied vibrations by approximately 90 or 270 degrees.

70. The method of claim 68 wherein the first measured vibratory frequency and the second measured vibratory frequency differ from one other by at least 50 Hz.

71. The method of claim 67 wherein the step of measuring the phase comprises the step of monitoring the blood pulse of the mammal.

72. The method of claim 67 wherein the step of measuring the phase comprises obtaining several phase measurements over time at each of the vibration frequencies and detecting the period of the blood pulsation from the variation in the phase measurements.

73. The method of claim 67 wherein the step of measuring the phase comprises obtaining several phase measurements at each of the vibration frequencies and averaging the phase measurements at each vibration frequency.

74. The method of claim 67 wherein step (b) comprises the step of comparing the first measured frequency value to a first known value of the first vibratory frequency measured at a corresponding first known intraocular pressure and outputing an indication that the unknown pressure is above the first known intraocular pressure when the first measured frequency value is greater than the known value of the first vibratory frequency, and outputing an indication that the unknown pressure is below the first known intraocular pressure when the first measured frequency value is less than the known value of the first vibratory frequency.

75. The method of claim 67 wherein step (b) comprises the steps of:

computing a frequency difference between the first measured frequency value and a first known value of the first vibratory frequency measured at a corresponding first known intraocular pressure;

generating a pressure differential by multiplying the difference by a pre-computed factor which relates changes in intraocular pressure to changes in frequency value; and

generating the estimate of the unknown intraocular pressure as the first known intraocular pressure plus the pressure differential.

76. The method of claim 67 wherein step (b) comprises the steps of:

computing a squared-frequency difference between the square of the first measured frequency value and the square of a first known value of the first vibratory frequency measured at a corresponding first known intraocular pressure;

generating a pressure differential multiplying the squared-frequency difference by a pre-computed factor which relates changes in intraocular pressure to changes in squared frequency values; and

generating the estimate of the unknown intraocular pressure as the first known intraocular pressure plus the pressure differential.

77. The method of claim 67 wherein step (b) comprises the steps of:

forming a mathematical relationship for the first vibratory mode which is mathematically equivalent to;

(f₁)²=A₀+A₁Δ

p,

where f₁ is an input frequency value of the mathematical relationship, where Δ

p is the output pressure of the mathematical relationship, and where A₀ and A₁ are constants derived from the one or more known frequency values of the first vibratory frequency measured at the corresponding known intraocular pressures; and

generating the estimate of the unknown intraocular pressure as being equal to Δ

p from the mathematical relationship with f₁ being set equal to the first measured frequency value.

78. The method of claim 77 wherein the constants A₀ and A₁ are generated from a first measurement f_1,1 of the first vibratory frequency measured at a first known intraocular pressure Δ

p₁ and a second measurement f_2,1 of the first vibratory frequency measured at a second intraocular pressure Δ

p₂ according to forms which are mathematically equivalent to;

A₁=[(f_2,1)²−

(f_1,1)²]/Δ

p₂−

Δ

p₁), and A₀=½

[(f_2,1)²+(f_1,1)²]−

½

(Δ

p₁+Δ

p₂)·

A₁.

79. A method of estimating the intraocular pressure of an eye of a mammal within a gaseous environment around a portion of the eye, the gaseous environment having a pressure, the intraocular pressure being the difference between the pressure inside the eye and the pressure of the gaseous environment, said method comprising the steps of:

(a) measuring a first vibratory frequency and a second vibratory frequency of an eye at an unknown intraocular pressure which is to be estimated to generate a first measured vibratory frequency and a second measured vibratory frequency, respectively, said step including the steps of applying a plurality of vibrations at a plurality of frequencies to the eye, at least some of the vibrations causing one or more portions of the eye'"'"'s surface to undergo an oscillatory motion, measuring the phase of the vibratory motion of a portion of the eye'"'"'s surface relative to the applied vibrations, selecting the first measured vibratory frequency as a first frequency of the applied vibrations at which the measured phase of the vibratory motion lags the phase of the applied vibrations by approximately one of a plurality of selected degree amounts, and selecting the second measured vibratory frequency as a second frequency of the applied vibrations at which the measured phase of the vibratory motion lags the phase of the applied vibrations by approximately by one of said plurality of selected degree amounts, wherein the step of measuring the phase comprises obtaining several phase measurements at each of the vibration frequencies and averaging the phase measurements at each vibration frequency;

(b) generating a first implied pressure value of the unknown intraocular pressure by comparing the first measured vibratory frequency to one or more measured values of a first previously-measured vibratory frequency measured at one or more corresponding known intraocular pressures;

(c) generating a second implied pressure value of the unknown intraocular pressure by comparing the second measured vibratory frequency to one or more measured values of a second previously-measured vibratory frequency measured at one or more corresponding known intraocular pressures;

(d) generating a third implied pressure value of the unknown intraocular pressure by comparing the first measured vibratory frequency to one or more measured values of the second previously-measured vibratory frequency;

(e) generating a fourth implied pressure value of the unknown intraocular pressure by comparing the second measured vibratory frequency to one or more measured values of a third previously-measured vibratory frequency measured at one or more corresponding known intraocular pressures;

(f) generating a first estimated pressure from the first and second implied pressure values as an average thereof, and generating a first deviation value representative of a deviation of the first and second implied pressure values from the first estimated pressure;

(g) generating a second estimated pressure from the third and fourth implied pressure values as an average thereof, and generating a second deviation value representative of a deviation of the third and fourth implied pressure values from the second estimated pressure; and

wherein each of the vibratory frequencies has a value that varies as a respective function of the eye'"'"'s intraocular pressure, each respective function extending or extrapolating to a non-zero frequency value for a zero value of intraocular pressure and to a zero frequency value for a negative value of intraocular pressure.

80. The method of claim 79 further comprising the step of selecting the first estimated pressure as a final estimated pressure if the first deviation value is less than the second deviation value, and the step of selecting the second estimated pressure as a final estimated pressure if the second deviation value is less than the first deviation value.

81. The method of claim 79 wherein the function of the first previously-measured vibratory frequency comprises a first mathematical relationship which provides an output pressure value for a corresponding input frequency value, wherein the function of the second previously-measured vibratory frequency comprises a second mathematical relationship which provides an output pressure value for a corresponding input frequency value, and wherein the function of the third previously-measured vibratory frequency comprises a third mathematical relationship which provides an output pressure value for a corresponding input frequency value;

wherein the step (b) of generating the first implied pressure value comprises evaluating the first mathematical relationship by providing the first measured vibratory frequency as the input frequency value of the first relationship and setting the first implied pressure value equal to the output pressure value of the first relationship, the first mathematical relationship being previously generated from at least the one or more values of the first previously-measured vibratory frequency;

wherein the step (c) of generating the second implied pressure value comprises evaluating the second mathematical relationship by providing the second measured vibratory frequency as the input frequency value of the second relationship and setting the second implied pressure value equal to the output pressure value of the second relationship, the second mathematical relationship being previously generated from at least the one or more values of the second previously-measured vibratory frequency;

wherein the step (d) of generating the third implied pressure value comprises evaluating the second mathematical relationship by providing the first measured vibratory frequency as the input frequency value of the second relationship and setting the third implied pressure value equal to the output pressure value of the second relationship; and

wherein the step (e) of generating the fourth implied pressure value comprises evaluating the third mathematical relationship by providing the second measured vibratory frequency as the input frequency value of the third relationship and setting the fourth implied pressure value equal to the output pressure value of the third relationship, the third mathematical relationship being previously generated from at least the one or more values of the third previously-measured vibratory frequency.

82. The method of claim 81 wherein the mathematical relationships may be identified and distinguished with respect to one another by an index value n, wherein the n-th mathematical relationship comprises a form which is mathematically equivalent to:

(f_n)²=A_0,n+A_1,nΔ

p,

where f_n is an input frequency value of the mathematical relationship, where Δ

p is the output pressure of the mathematical relationship, and where A_0,n and A_1,n are constants related to the corresponding vibratory frequency.

83. The method of claim 82 wherein the constants A_0,n and A_1,n of an n-th relationship of a corresponding previously-measured vibratory frequency are generated from a first measurement f_1,n of the corresponding vibratory frequency measured at a first known intraocular pressure Δ

p₁ and a second measurement f_2,n of the corresponding vibratory frequency measured at a second intraocular pressure Δ

p₂ according to forms which are mathematically equivalent to;

A_1,n=[(f_2,n)²−

(f_1,n)²]/(Δ

p₂−

Δ

p₁), and A_0,n={fraction (1/2)}[(f_2,n)²+(f_1,n)²]−

½

(Δ

p₁+Δ

p₂)·

A_1,n.

84. The method of claim 79 wherein the step of measuring the phase occurs at a pre-selected part of the blood pulsation period of the mammal.

85. The method of claim 79 wherein the plurality selected degree amounts comprises 90 and 270 degrees, and wherein the first measured vibratory frequency and the second measured vibratory frequency differ from one another by at least 50 Hz.

86. A method of estimating the intraocular pressure of an eye of a mammal within a gaseous environment around a portion of the eye, the gaseous environment having a pressure, the intraocular pressure being the difference between the pressure inside the eye and the pressure of the gaseous environment, said method comprising the steps of:

(a) measuring a first vibratory frequency and a second vibratory frequency of an eye at an unknown intraocular pressure which is to be estimated to generate a first measured vibratory frequency and a second measured vibratory frequency, respectively, said step including the steps of applying a plurality of vibrations at a plurality of frequencies to the eye, at least some of the vibrations causing one or more portions of the eye'"'"'s surface to undergo an oscillatory motion, measuring the phase of the vibratory motion of a portion of the eye'"'"'s surface relative to the applied vibrations, selecting the first measured vibratory frequency as a first frequency of the applied vibrations at which the measured phase of the vibratory motion lags the phase of the applied vibrations by approximately one of a plurality of selected degree amounts, and selecting the second measured vibratory frequency as a second frequency of the applied vibrations at which the measured phase of the vibratory motion lags the phase of the applied vibrations by approximately by one of said plurality of selected degree amounts, wherein the step of measuring the phase comprises occurs at a pre-selected part of the blood pulsation period of the mammal;

(b) generating a first implied pressure value of the unknown intraocular pressure by comparing the first measured vibratory frequency to one or more measured values of a first previously-measured vibratory frequency measured at one or more corresponding known intraocular pressures;

(c) generating a second implied pressure value of the unknown intraocular pressure by comparing the second measured vibratory frequency to one or more measured values of a second previously-measured vibratory frequency measured at one or more corresponding known intraocular pressures;

(d) generating a third implied pressure value of the unknown intraocular pressure by comparing the first measured vibratory frequency to one or more measured values of the second previously-measured vibratory frequency;

(e) generating a fourth implied pressure value of the unknown intraocular pressure by comparing the second measured vibratory frequency to one or more measured values of a third previously-measured vibratory frequency measured at one or more corresponding known intraocular pressures;

(f) generating a first estimated pressure from the first and second implied pressure values as an average thereof, and generating a first deviation value representative of a deviation of the first and second implied pressure values from the first estimated pressure;

(g) generating a second estimated pressure from the third and fourth implied pressure values as an average thereof, and generating a second deviation value representative of a deviation of the third and fourth implied pressure values from the second estimated pressure; and

wherein each of the vibratory frequencies has a value that varies as a respective function of the eye'"'"'s intraocular pressure, each respective function extending or extrapolating to a non-zero frequency value for a zero value of intraocular pressure and to a zero frequency value for a negative value of intraocular pressure.

87. The method of claim 86 further comprising the step of selecting the first estimated pressure as a final estimated pressure if the first deviation value is less than the second deviation value, and the step of selecting the second estimated pressure as a final estimated pressure if the second deviation value is less than the first deviation value.

88. The method of claim 86 wherein the function of the first previously-measured vibratory frequency comprises a first mathematical relationship which provides an output pressure value for a corresponding input frequency value, wherein the function of the second previously-measured vibratory frequency comprises a second mathematical relationship which provides an output pressure value for a corresponding input frequency value, and wherein the function of the third previously-measured vibratory frequency comprises a third mathematical relationship which provides an output pressure value for a corresponding input frequency value;

wherein the step (b) of generating the first implied pressure value comprises evaluating the first mathematical relationship by providing the first measured vibratory frequency as the input frequency value of the first relationship and setting the first implied pressure value equal to the output pressure value of the first relationship, the first mathematical relationship being previously generated from at least the one or more values of the first previously-measured vibratory frequency;

wherein the step (c) of generating the second implied pressure value comprises evaluating the second mathematical relationship by providing the second measured vibratory frequency as the input frequency value of the second relationship and setting the second implied pressure value equal to the output pressure value of the second relationship, the second mathematical relationship being previously generated from at least the one or more values of the second previously-measured vibratory frequency;

wherein the step (d) of generating the third implied pressure value comprises evaluating the second mathematical relationship by providing the first measured vibratory frequency as the input frequency value of the second relationship and setting the third implied pressure value equal to the output pressure value of the second relationship; and

wherein the step (e) of generating the fourth implied pressure value comprises evaluating the third mathematical relationship by providing the second measured vibratory frequency as the input frequency value of the third relationship and setting the fourth implied pressure value equal to the output pressure value of the third relationship, the third mathematical relationship being previously generated from at least the one or more values of the third previously-measured vibratory frequency.

89. The method of claim 88 wherein the mathematical relationships may be identified and distinguished with respect to one another by an index value n, wherein the n-th mathematical relationship comprises a form which is mathematically equivalent to:

(f_n)=A_0,n+A_1,nΔ

p,

where f_n is an input frequency value of the mathematical relationship, where Δ

p is the output pressure of the mathematical relationship, and where A_0,n and A_1,n are constants related to the corresponding vibratory frequency.

90. The method of claim 89 wherein the constants A_0,n and A_1,n of an n-th relationship of a corresponding previously-measured vibratory frequency are generated from a first measurement f_1,n of the corresponding vibratory frequency measured at a first known intraocular pressure Δ

p₁ and a second measurement f_2,n of the corresponding vibratory frequency measured at a second intraocular pressure Δ

p₂ according to forms which are mathematically equivalent to;

A_1,n=[(f_2,n)²−

(f_1,n)²]/(Δ

p₂−

Δ

p₁), and A_0,n=½

[(f_2,n)²+(f_1,n)²]−

½

(Δ

p₁+Δ

p₂)·

A_1,n.

91. The method of claim 86 wherein the plurality selected degree amounts comprises 90 and 270 degrees, and wherein the first measured vibratory frequency and the second measured vibratory frequency differ from one another by at least 50 Hz.

92. A tonometer which measures the intraocular pressure of an eye of a mammal within a gaseous environment around a portion of its surface, the gaseous environment having a pressure, the intraocular pressure being the difference between the pressure inside the eye and the pressure of the gaseous environment, said tonometer comprising:

a processor having a first memory and a second memory;

a controllable frequency generator having a control input coupled to the processor and an output;

a vibratory exciter having an electric input coupled to the output of frequency generator and an output which delivers vibrations to the eye;

a displacement detector which detects vibratory displacements of a surface area of the eye, said displacement detector having an electrical output which provides a signal representative of the vibratory displacements;

a phase detector having a first input which receives a signal related to the output of the controlled frequency generator, a second input coupled to the electrical output of the displacement detector, and an output coupled to processor which provides a value related to the phase difference between the signals at the detector'"'"'s first and second inputs;

a model of the pressure of the eye based on one or more vibratory frequencies of the eye, the model comprising a first set of instructions stored in said first memory, and a set of data parameters stored in said second memory for each vibratory frequency, the first set of instructions operating on the corresponding data parameters of a vibratory frequency to generate a pressure value as a function of the parameters and an input frequency value, each said function corresponding to a vibratory frequency and having a form that extends or extrapolates to a non-zero frequency value for a zero value of intraocular pressure and to a zero frequency value for a negative value of intraocular pressure;

a second set of instructions stored in the first memory that directs the processor to command the controlled frequency generator to output a plurality of waveforms at a plurality of different frequencies for a plurality of periods of time, each period of time corresponding to a respective frequency;

a third set of instructions which directs the processor to monitor the output of the phase detector and to detect one or more vibratory frequencies therefrom, the third set of instructions including instructions that direct the processor to average the measurements at the output of the phase detector during at least a portion of each respective period of time; and

a fourth set of instructions stored in the first memory that directs the processor to compute an estimated pressure from a set of detected vibratory frequencies and the model, the fourth set directing the processor to execute the first set of instructions using at least one set of stored parameters.

93. The tonometer of claims 92 wherein the function of each vibratory mode has a form which is mathematically equivalent to:

(f_s,n)²=A_0,n+A_1,nΔ

p,

where f_s,n is a measured value of the vibratory frequency, where Δ

p is the implied pressure value, where A_0,n and A_1,n are variable parameters, and where the index n identifies the vibratory mode; and

wherein the first set of instructions generates a pressure value in a form which is mathematically equivalent to;

Δ

p={(f_s,n)²−

A_0,n}/A_1,n.

94. The tonomoeter of claim 93 wherein the parameters of the model are derived from a first set (f_1.k) of vibratory frequencies measured at a first known pressure level of the eye and a second set (f_2,k) of vibratory frequencies measured at a second known and different pressure level of the eye from mathematical forms equivalent to:

A_1,n=[(f_2,n)²−

(f_1,n)²]/(Δ

p₂−

Δ

p₁), A_0,n=½

·

[(f_2,n)²+(f_1,n)²]−

½

(Δ

p₁+p₂)A_1,n,

where Δ

p₁ and Δ

p₂ are the first and second pressures as referenced from atmospheric pressure.

95. The tonometer of claim 93 wherein the first memory comprises a nonvolatile memory, and wherein the parameters A_0,n and A_1,n are computed and stored in the first memory, and thereafter called from the first memory as needed in computing a plurality of estimated pressure values.

96. The tonometer of claim 93 wherein the second memory comprises a nonvolatile memory, wherein the data parameters stored therein comprise the first and second sets of vibratory frequencies and the first and second known pressures, and wherein the first set of instructions comprising a subset of instructions which direct the processor to compute the parameters A_0,n and A_1,n as needed from the data stored in the non-volatile memory.

97. The tonometer of claim 92 wherein the displacement detector comprises an ultrasonic emitter and an ultrasonic detector.

98. The tonometer of claim 92 wherein the vibratory exciter comprises an vibratory mouth piece.

99. The tonometer of claim 92 wherein the output of the frequency generator is swept in either the ascending direction or descending direction, up to a value of 4000 Hz.

100. A tonometer which measures the intraocular pressure of an eye of a mammal within a gaseous environment around a portion of its surface, the gaseous environment having a pressure, the intraocular pressure being the difference between the pressure inside the eye and the pressure of the gaseous environment, said tonometer comprising:

a blood pulse detector having an output that is representative of the mammal'"'"'s blood pulse cycle;

a processor having a first memory and a second memory;

a controllable frequency generator having a control input coupled to the processor and an output;

a vibratory exciter having an electric input coupled to the output of frequency generator and an output which delivers vibrations to the eye;

a displacement detector which detects vibratory displacements of a surface area of the eye, said displacement detector having an electrical output which provides a signal representative of the vibratory displacements;

a phase detector having a first input which receives a signal related to the output of the controlled frequency generator, a second input coupled to the electrical output of the displacement detector, and an output coupled to processor which provides a value related to the phase difference between the signals at the detector'"'"'s first and second inputs;

a model of the pressure of the eye based on one or more vibratory frequencies of the eye, the model comprising a first set of instructions stored in said first memory, and a set of data parameters stored in said second memory for each vibratory frequency, the first set of instructions operating on the corresponding data parameters of a vibratory frequency to generate a pressure value as a function of the parameters and an input frequency value, each said function corresponding to a vibratory frequency and having a form that extends or extrapolates to a non-zero frequency value for a zero value of intraocular pressure and to a zero frequency value for a negative value of intraocular pressure;

a second set of instructions stored in the first memory that directs the processor to command the controlled frequency generator to output a plurality of waveforms at a plurality of different frequencies;

a third set of instructions that directs the processor to monitor the output of the phase detector and to detect one or more vibratory frequencies therefrom, the third set of instructions including instructions that direct the processor to monitor the output of the blood pulse detector and to monitor the output of the phase detector at a selected part of the mammal'"'"'s blood pulse cycle; and

a fourth set of instructions stored in the first memory that directs the processor to compute an estimated pressure from a set of detected vibratory frequencies and the model, the fourth set directing the processor to execute the first set of instructions using at least one set of stored parameters.

101. The tonometer of claims 100 wherein the function of each vibratory mode has a form which is mathematically equivalent to:

(f_s,n)²=A_0,n+A_1,nΔ

p,

where f_s,n is a measured value of the vibratory frequency, where Δ

p is the implied pressure value, where A_0,n and A_1,1 are variable parameters, and where the index n identifies the vibratory mode; and

wherein the first set of instructions generates a pressure value in a form which is mathematically equivalent to;

Δ

p={(f_s,n)²−

A_0,n}/A_1,n.

102. The tonomoeter of claim 101 wherein the parameters of the model are derived from a first set (f_1.k) of vibratory frequencies measured at a first known pressure level of the eye and a second set (f_2,k) of vibratory frequencies measured at a second known and different pressure level of the eye from mathematical forms equivalent to:

A_1,n=[(f_2,n)²−

(f_1,n)²]/(Δ

p₂−

Δ

p₁), A_0,n=½

·

[(f_2,n)²+(f_1,n)²]−

½

(Δ

p₁+p₂)A_1,n,

where Δ

p₁ and Δ

p₂ are the first and second pressures as referenced from atmospheric pressure.

103. The tonometer of claim 101 wherein the first memory comprises a nonvolatile memory, and wherein the parameters A_0,n and A_1,n are computed and stored in the first memory, and thereafter called from the first memory as needed in computing a plurality of estimated pressure values.

104. The tonometer of claim 101 wherein the second memory comprises a nonvolatile memory, wherein the data parameters stored therein comprise the first and second sets of vibratory frequencies and the first and second known pressures, and wherein the first set of instructions comprising a subset of instructions which direct the processor to compute the parameters A_0,n and A_1,n as needed from the data stored in the non-volatile memory.

105. The tonometer of claim 100 wherein the displacement detector comprises an ultrasonic emitter and an ultrasonic detector.

106. The tonometer of claim 100 wherein the vibratory exciter comprises an vibratory mouth piece.

107. A tonometer which measures the intraocular pressure of an eye of a mammal within a gaseous environment around a portion of its surface, the gaseous environment having a pressure, the intraocular pressure being the difference between the pressure inside the eye and the pressure of the gaseous environment, said tonometer comprising:

a processor having a first memory and a second memory;

a controllable frequency generator having a control input coupled to the processor and an output;

a vibratory exciter having an electric input coupled to the output of frequency generator and an output which delivers vibrations to the eye;

a displacement detector which detects vibratory displacements of a surface area of the eye, said displacement detector having an electrical output which provides a signal representative of the vibratory displacements;

a phase detector having a first input which receives a signal related to the output of the controlled frequency generator, a second input coupled to the electrical output of the displacement detector, and an output coupled to processor which provides a value related to the phase difference between the signals at the detector'"'"'s first and second inputs;

a model of the pressure of the eye based on one or more vibratory frequencies of the eye, the model comprising a first set of instructions stored in said first memory, and a set of data parameters stored in said second memory for each vibratory frequency, the first set of instructions operating on the corresponding data parameters of a vibratory frequency to generate a pressure value as a function of the parameters and an input frequency value, each said function corresponding to a vibratory frequency and having a form that extends or extrapolates to a non-zero frequency value for a zero value of intraocular pressure and to a zero frequency value for a negative value of intraocular pressure;

a second set of instructions stored in the first memory that directs the processor to command the controlled frequency generator to output a plurality of waveforms at a plurality of different frequencies for a plurality of periods of time, each period of time corresponding to a respective frequency;

a third set of instructions which directs the processor to monitor the output of the phase detector and to detect one or more vibratory frequencies therefrom, the third set of instructions including instructions that direct the processor to detect a periodic pattern in the variation of the phase measurements during at least one period of time, and to use phase measurements within a part of the detected periodic pattern; and

a fourth set of instructions stored in the first memory that directs the processor to compute an estimated pressure from a set of detected vibratory frequencies and the model, the fourth set directing the processor to execute the first set of instructions using at least one set of stored parameters.

108. The tonometer of claims 107 wherein the function of each vibratory mode has a form which is mathematically equivalent to:

(f_s,n)²=A_0,n+A_1,n Δ

p,

where f_s,n is a measured value of the vibratory frequency, where Δ

p is the implied pressure value, where A_0,n and A_1,n are variable parameters, and where the index n identifies the vibratory mode; and

wherein the first set of instructions generates a pressure value in a form which is mathematically equivalent to;

Δ

p={(f_s,n)²−

A_0,n}/A_1,n.

109. The tonomoeter of claim 108 wherein the parameters of the model are derived from a first set (f_1.k) of vibratory frequencies measured at a first known pressure level of the eye and a second set (f_2,k) of vibratory frequencies measured at a second known and different pressure level of the eye from mathematical forms equivalent to:

A_1,n=[(f_2,n)²−

(f_1,n)²]/(Δ

p₂−

Δ

p₁), A_0,n=½

·

[(f_2,n)²+(f_1,n)²]−

½

(Δ

p₁+p₂)A_1,n,

where Δ

p₁ and Δ

p₂ are the first and second pressures as referenced from atmospheric pressure.

110. The tonometer of claim 108 wherein the first memory comprises a nonvolatile memory, and wherein the parameters A_0,n and A_1,1 are computed and stored in the first memory, and thereafter called from the first memory as needed in computing a plurality of estimated pressure values.

111. The tonometer of claim 108 wherein the second memory comprises a nonvolatile memory, wherein the data parameters stored therein comprise the first and second sets of vibratory frequencies and the first and second known pressures, and wherein the first set of instructions comprising a subset of instructions which direct the processor to compute the parameters A_0,n and A_1,n as needed from the data stored in the non-volatile memory.