Oral soft tissue laser ablative and coagulative efficiencies spectra

141024 Vitruk FeatureDr. Peter Vitruk delves into the science behind ablative soft tissue lasers

Introduction
The much praised clinical benefits and ease of use of surgical and dental lasers are enjoyed by millions of patients & by tens of thousands of physicians, dentists, and veterinarians worldwide.

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State-of-the-art modern-day soft tissue lasers have made many soft tissue procedures much simpler and far more enjoyable for practitioners — consider bloodless laser blepharoplasty and laser frenectomy in Figures 1 & 2.

The key to the success of soft tissue lasers is their ability to cut and coagulate the soft tissue at the same time. Present work is aimed to derive the wavelength-dependent differences in photo-thermal ablation and coagulation efficiencies for oral soft tissue pulsed dental Near-IR Diode, Mid-IR Erbium and IR CO2 lasers.1-24 141024 Vitruk 01

Even though the soft tissue photo-thermal ablation has been extensively studied,5,6,17 there remains a discrepancy between (a) the widely proliferated notion about efficient Near-IR 800-1,100 nm laser ablation of the oral soft tissue,25,26 and (b) studies reporting the inefficient soft tissue Near-IR absorption/ablation.5,6,17,18

Indeed, the notions about “the key to the usefulness of the Nd:YAG is that this wavelength is highly absorbed in oral soft tissue”25, and “all currently available dental laser instruments and their emission wavelengths have indications for use for incising, excising … oral soft tissue surgery”26, contradict an observation5 illustrated here by Figure 3: “Lasers whose extinction length is 5 mm or more, and whose δ/α ratio [scattering to absorption ratio] is larger than 10, make good coagulators but poor scalpels. Such wavelengths are all in the near-infrared (700-1400 nm) region.”

Another review article17 reports that “Using laser wavelengths where optical scattering is comparable to or dominant over tissue absorption is not conducive to precise ablation” directly relates to Near-IR wavelengths 800-1,100 nm.

Furthermore, “Even in an idealized situation, application of high power laser [810 nm] light (e.g., 20 W) is necessary during several seconds, inducing tissue changes that extend further into the tissue than can be observed by the surgeon. An important complicating factor in the use of this high-power laser light, which penetrates deeply before being absorbed totally, is that it may reach vital structures in the vicinity of the target tissue. These vital structures … may preferentially absorb near-infrared laser light because of different optical properties and may be heavily damaged before efficient tissue ablation at the surface initiated.”18

To address the preceding discrepancies, present work utilizes the known optical absorption coefficient spectra of the oral soft tissue’s four main chromophores — water,1,2 melanin,3,4 hemoglobin (Hb), and oxyhemoglobin (HbO2)4-6 (see Figure 4) — in order to analyze the photo-thermal ablation (or photovaporolysis5) and photo-thermal coagulation (or photopyrolysis5) efficiencies for the soft tissue dental lasers7 on the market today: Near-IR diodes at 808 – 1,064 nm; Mid-IR Erbium lasers at 2,780 nm and 2,940 nm; and IR CO2 laser at 9,300 nm and 10,600 nm. 141024 Vitruk 02

Optical model for epithelium and connective tissue (sub-epithelium)

Besides the absorption coefficient spectra for the soft tissue’s main chromophores, their respective spatial distributions are taken into account through a simple two-layer optical model depicted in Figure 5:
The 100-300 µm thin8 epithelium layer with its optical absorption dominated by melanin and water.
The sub-epithelium medium (connective tissue, inclusive of lamina propria and submucosa9,10) with its optical absorption dominated by water and hemoglobin/oxyhemoglobin. 75% water content is assumed for both epithelium and sub-epithelium for convenience; adjusting water content within 70-100% range does not significantly alter main results and conclusions of this study.

Photo-thermal laser-tissue interaction: absorption, ablation, coagulation

During photo-thermal laser-tissue interaction, the laser beam energy is absorbed (by tissue’s main chromophores-absorption centers) and heats the tissue inside the irradiated volume, which leads to elevated tissue temperatures that can result in tissue ablation and coagulation.

Consider, as shown in Figure 6, a one-dimensional approximation of a laser beam irradiating the tissue surface (at x=0) from the left (is graphically represented as a thin slice of a laser beam directed at the thin slice of the tissue), assuming pulse duration is essentially shorter than Thermal Relaxation Time discussed later. Incident laser beam intensity [W/cm2] is IB; laser light intensity immediately below the tissue surface is I0. Accordingly, the reflectivity of tissue’ surface is (IB – I0)/IB, and the transmission is I0/IB. Inside the tissue, i.e., for x > 0, the laser light intensity is exponentially attenuated:

I = I0 Exp [-x/A] (1)

where 1/A is absorption coefficient from Figure 4 (or attenuation coefficient if light scattering is taken into account). Assuming that laser intensity I0 is greater than intensity Ia required (for a specific pulse duration t) to ablate the tissue locally, the tissue ablation takes place in 0 < x < xa referred to as the “ablation zone” in Figure 6. Immediately below the ablation zone the heat affected zone xa < x < xc is located, with the tissue temperature ranging from the very high Ta (ablation temperature) at xa all the way down to the coagulation threshold temperature Tc at xc (i.e., Ta = 100ºC and Tc = 60ºC). Coagulation depth H = xc – xa, is defined by 60-100ºC temperature range19-22 inside the heat affected zone.141024 Vitruk 03

Light absorption and scattering in epithelium

Since melanin is present in the epithelium layer while the hemoglobin is not, and since there is no melanin in hemoglobin-rich connective tissue (sub-epithelium), the optical properties of epithelium and sub-epithelium are analyzed separately and independently from each other.

Similar to melanin content and pigmentation in human epidermis,3 the epithelium’s volume fraction of melanin pigmentation (presented in Figure 4) is estimated at approximately 2% (very light pigmentation), 13% (moderate), and 30% (dark). Optical absorption in epithelium at 800-1,100 nm Near-IR wavelengths is highly dependent on pigmentation but is relatively low due to very thin epithelium (100-300 µm8).

Unlike Near-IR wavelengths, the Mid-IR wavelengths (Erbium lasers) and IR wavelengths (CO2 laser) exhibit close to 100% absorption in epithelium, which is of high value for predictable laser photo-thermal ablation of epithelium.11

Light absorption and scattering in sub-epithelium connective tissue

Optical absorption depth spectrum for connective tissue (sub-epithelium) with 75% water and estimated 10% blood presence in the human soft tissue12 (containing hemoglobin (and/or oxyhemoglobin) at normal concentration of 150g/L5,6) is derived from absorption coefficient spectra (presented in Figure 4) for water1,2, hemoglobin and oxyhemoglobin4-6 and is presented in Figure 7. An estimate of the attenuation depth as an inverse of the sum of absorption co-efficient 3-6 and reduced scattering coefficient for whole blood (estimated through absorption to reduced scattering ratio from14), is presented as inset in Figure 7. Attenuation depth is a more accurate representation of laser energy penetration into the tissue for Near-IR wavelength where light scattering dominates over absorption.3-6,14

As can be seen from Figure 7, both Erbium lasers (approximately 3,000 nm) and CO2 lasers (approximately 10,000 nm) are highly efficiently absorbed by the soft tissue and, as will be shown, are efficient at cutting and ablating the soft tissue purely radiantly (non-contact). At the same time, diode lasers (approximately 1,000 nm) are highly inefficiently absorbed by the soft tissue, and therefore, cannot be used radiantly (non-contact) for cutting and ablating the soft tissue. Instead, Near-IR diodes are used as hot-tip contact thermal devices, whereas laser radiation heats the charred glass tip and then the heat from the charred tip is conducted into the soft tissue.

Thermal relaxation time

Soft tissue ablation and coagulation efficiencies are influenced not only by absorption/attenuation spectra described in Figures 4 and 7, but also by laser pulse temporal characteristics and tissue’ thermal conductivity.
The rate of how fast the irradiated tissue diffuses the heat away is defined through the thermal diffusion time, or Thermal Relaxation Time (presented in Figure 7) as TR = A2/K,16,17 where A is optical absorption (or Near-IR attenuation) depth discussed above. The physics behind thermal diffusivity process is similar to diffusion and Brownian motion first described in15. Coefficient K is tissue’s thermal diffusivity; K = λ /(ϱ C) ≈ 0.155 (+/-0.007) mm2/sec (derived from heat conductivity λ ≈ 6.2-6.8 mW/cm ºC ; specific heat capacity C ≈ 4.2 J/g ºC, and density ϱ ≈ 1 g/cm3 for liquid water for temperatures in 37-100ºC range23). For practical consideration of often used 0.4 mm laser beam diameter on the tissue, the Thermal Relaxation Time in Figure 7 is estimated approximately ≥1 sec for absorption (attenuation) depths in excess of 0.4 mm (i.e. when the 2-D radial heat conduction away from the axis of the beam takes place).141024 Vitruk 04

Practical implications of Thermal Relaxation Time concept are simple and yet very powerful for appropriate application of laser energy.

The most efficient heating of the irradiated tissue takes place when laser pulse energy is high and its duration is much shorter than TR. The most efficient cooling of the tissue adjacent to the ablated zone takes place if time duration between laser pulses is much greater than TR. Short laser pulse, depicted in Figure 6, allows for the most efficient ablation of the irradiated tissue with minimum coagulation and hemostasis underneath the ablated tissue. For instance, rapidly pulsed Erbium and CO2 lasers are efficient at cutting with minimal coagulation in applications like char-free stage II implant uncovering, gingivectomy, frenectomy, biopsy, de-epithelization, fibroma excision, etc.

The least efficient heating of the irradiated tissue takes place when laser pulse energy is low, and its duration is much longer than TR. The least efficient cooling of the tissue adjacent to the ablated zone takes place if time duration between laser pulses is much shorter than TR. For instance, long pulse and continuous wave (CW) CO2 lasers are less efficient cutters but provide for greater depth of coagulation for excising/incising in highly vascular and inflamed tissues like hemangioma.

Photo-thermal ablation efficiency

Soft tissue photo-thermal ablation (or photovaporolysis5,6) is a process of vaporization of intra- and extra-cellular water.5,6,17 For a fixed laser beam diameter (or spot size), the volume of the tissue exposed to laser beam is proportional to the optical penetration (i.e. absorption or Near-IR attenuation as defined above) depth. The shorter the penetration depth — the less energy is required to ablate the tissue. The longer the optical penetration depth — the greater the volume of irradiated tissue, and therefore, more energy is required to ablate the tissue within the irradiated volume of tissue.

The minimum energy density requirement to vaporize the irradiated soft tissue can be calculated from the spatial distribution of laser light intensity (1) inside the irradiated tissue (see Figure 6) for different wavelengths that are relevant to practical soft tissue dental Near-IR Diode, Mid-IR Erbium and IR CO2 lasers. Present analysis below covers conditions most suited for high efficiency photo-thermal ablation (pulse duration t ≤ TR) with minimum collateral damage to the surrounding tissue (pulse repetition rate f << 1/TR).

Consider a laser beam pulse characterized by the following: 1) its duration t is less than Thermal Relaxation Time TR (for the thermal confinement of the laser energy within the irradiated tissue); and 2) its penetration (i.e., absorption or attenuation defined previously) depth A is uniquely defined by the laser wavelength and tissue properties; and 3) for the Near-IR wavelengths, the beam diameter is large enough so that its increase due to light scattering is negligible as it propagates through the tissue. Ablation depth is xa and coagulation depth is H = xa – xc, where the end of coagulation zone xc is where the tissue temperature Tc equals 60ºC.

Let’s consider xa<<A conditions for which both the “blow-off” and “steady-state” ablation models described in17 apply. For laser beam intensity given by formula (1), the laser energy deposited into the unit volume of the tissue (during laser pulse duration t) is proportional to the rate of laser beam’ intensity’s change:

t dI/dx = – t I0 Exp [-x/A] / A = – t I / A (2)

Laser energy absorbed by the tissue heats up the tissue. Soft tissue ablation (i.e., tissue’s water vaporization) intensity Ia at location
x = xa can be derived from (2) as:

ϱ ( C (Ta – Tb) + r ) = t Ia / A = t I0 Exp [-xa/A] / A (3)

where Tb is body temperature at 37ºC, Ta is water boiling temperature is 100ºC, C =4.2 J/g ºC is specific heat capacity, r =2,260 J/g is latent heat of water evaporation [27], and ϱ =1 g/cm3 is water density. The greater the laser beam pulse energy density t I0, the deeper (i.e. greater xa) the ablation.
In order to calculate from (3) the minimum (i.e. threshold) ablation energy density ETH of laser beam, we consider xa<<A conditions:

ETH = t ITH = ϱ A ( C (Ta – Tb) + r ) (4)

The ablation threshold energy density ETH spectrum is presented in Figure 8, where the Near-IR wavelengths 800-1,100 nm are characterized by 100s-1,000s times greater photo-thermal ablation threshold energy densities than Mid-IR and IR wavelengths because of weak Near-IR absorption by the soft tissue’s chromophores. For the Near-IR, the ablation threshold energy density is the lowest when the beam diameter is large enough so that its increase (due to scattering) is negligible as it propagates through the tissue. For very small Near-IR beam diameters, the ablation threshold energy density is significantly greater due to radial optical scattering as the beam propagates through the tissue. Figure 3 illustrates the high degree of scattering and predicted absence of tissue ablation at 810 and 980 nm.
In sharp contrast to Near-IR wavelengths, the Mid-IR and IR wavelengths are highly energy efficient at ablating the soft tissue photo-thermally with very low ablation threshold intensities (see Figure 8) due to extremely small volumes of irradiated tissue because of extremely short absorption depths (see Figure 7). 141024 Vitruk 05

Spatial accuracy of photo-thermal ablation

Near-IR 800-1,100 nm wavelengths (dental diodes’ operating wavelengths) are poorly absorbed by scarce melanin in epithelium and by low concentration hemoglobin and oxyhemoglobin in sub-epithelium connective tissue, which results in multi-millimeter depth of laser energy penetration into the oral soft tissue. Such multi-millimeter ambiguity in tissue removal spatial accuracy at Near-IR wavelengths (also cited in5 as “poor scalpels” and in17 as “not conducive to precise ablation”) increases the collateral damage risk of overheating both soft and hard dental structures (enamel, dentin, implants, and bone) underneath the connective soft tissue if photo-thermal ablation is attempted. Such risk is referred to in18 as “vital structures … may be heavily damaged before tissue ablation at the surface initiated”; the 810 nm soft tissue absorption coefficient of 0.7 1/cm in18 makes its observations highly relevant to the present analysis where 10% blood absorbs at the rate of approximately 0.4 1/cm at 810 nm (see Figure 4).

Unlike Near-IR wavelengths, the Mid-IR wavelengths (Erbium lasers) and IR wavelengths (CO2 lasers) exhibit much shorter absorption depths (see Figure 7), which makes Mid-IR and IR lasers far more spatially precise and safer in soft tissue ablative applications.

Photo-thermal coagulation efficiency

Coagulation occurs as a denaturation of soft tissue proteins that occurs in 60-100°C temperature range19-22 leading to a significant reduction in bleeding (and oozing of lymphatic liquids) on the margins of ablated tissue during laser ablation (and excision, incision) procedures. Since blood is contained within and transported through the blood vessels, the diameter of blood vessels B (estimated to range from 21 to 40 µm with average value of 31 µm – from measurements in human cadaver gingival connective tissue24) is a highly important spatial parameter that influences the efficiency of photocoagulation process. Photo-thermal coagulation is also accompanied by hemostasis due to shrinkage of the walls of blood vessels (and lymphatic vessels) due to collagen shrinkage at increased temperatures.
Present analysis below covers conditions most suited for high efficiency photo-thermal ablation (pulse duration t ≤ TR) with minimum collateral damage to the surrounding tissue (pulse repetition rate f >> 1/TR). Laser light intensity, see Figure 6, is assumed at the ablation threshold ITH from (4), and xa<<A.141024 Vitruk 06

For short laser pulses t << TR and for near-ablation threshold conditions (2)-(4) above, the coagulation threshold power density Ec = t Ic and coagulation depth H = xc – xa ≈ xc (for 60-100ºC temperature range inside the heat affected zone in Figure 6, i.e. Ta = 100ºC and Tc = 60ºC) is calculated from:

ϱ C ( Tc – Tb ) = Ec / A = t I0 Exp [-xc/A] / A = ETH Exp [-H/A] / A (5)

where body temperature Tb is 37ºC. For longer laser pulses closer to Thermal Relaxation Time (t ≈ TR), the thermal diffusion spreads the heat over an additional distance A, which accordingly increases the coagulation depth from (5).
The coagulation depth value H relative to the blood vessel diameter B is an important measure of coagulation and hemostasis efficiency; and is presented in Figure 9 for B = 21-40 µm24, where absorption/attenuation depth A from Figure 7 is utilized to calculate H from (5).

For H<<B (see Erbium laser wavelengths in Figure 9), optical absorption and coagulation depths are significantly smaller than blood vessel diameters; coagulation takes place on relatively small spatial scale and cannot prevent bleeding from the blood vessels severed during tissue ablation.

For H>>B (diode laser wavelengths in Figure 9), optical absorption (Near-IR attenuation), and coagulation depths are significantly greater than blood vessel diameters; coagulation takes place over extended volumes — far away from ablation site where no coagulation is required. Extended thermal damage zones for Near-IR irradiated soft tissue are documented in18; the 810 nm soft tissue absorption coefficient 0.7 1/cm in18 makes its observations highly relevant to present analysis with absorption coefficient of approximately 0.4 1/cm at 810 nm (see Figure 4).

For H ≥ B (CO2 laser wavelengths in Figure 9), coagulation extends just deep enough into a severed blood vessel to stop the bleeding; the coagulation is more efficient then for the above two cases H<<B, and H>>B.

Near-IR diode and Nd:YAG laser soft tissue ablation and coagulation

Near-IR diode laser light circa 1,000 nm is not used to optically ablate the oral soft tissue; instead, the diode laser optical energy is used to heat up the charred distal end of the fiber glass tip to 500-900ºC,28 which then heats up the soft tissue through heat conduction from hot glass tip: soft tissue is burned off (ablated) on contact with the hot charred glass tip, while the margins of the burn are coagulated. Unlike non-contact surgical lasers (such as CO2 or Erbium), the soft tissue ablative diodes are contact thermal non-laser wavelength-independent devices.

When used in contact mode, the Nd:YAG laser may function as a hot tip cutting tool [6]. When used in non-contact mode, the Nd:YAG laser’s 1,064 nm wavelength is a highly efficient coagulator, but a poor scalpel, as it is highly scattered and weakly absorbed by the soft tissue.5,6,17 The low absorption of the Nd:YAG wavelength may be attenuated (and, therefore, its cutting efficiency may be enhanced) by the use of very high peak power6 typical for free-running pulsed Nd:YAG lasers.141024 Vitruk 07

Summary and conclusions

Ablation threshold intensity and coagulation depth spectra are derived from the absorption spectra of oral soft tissue’ main chromophores (water, melanin, hemoglobin, and oxyhemoglobin) for conditions most suited for high efficiency photo-thermal ablation (pulse duration t ≤ TR) with minimum collateral damage to the surrounding tissue (pulse repetition rate f << 1/TR). The non-laser wavelength-independent thermal interaction between the soft tissue and diode’s charred hot glass tip was excluded from the scope of present analysis.

Near-IR 800-1,100 nm diode wavelengths are shown to be highly energy inefficient and spatially inaccurate photo-thermal ablation tools with wide spread thermal damage. More measurement data on Near-IR reduced scattering coefficient are needed for more accurate calculations of the oral soft tissue photo-thermal ablation and coagulation properties in the Near-IR.

Mid-IR Erbium laser wavelengths are shown to be highly energy efficient and spatially accurate photo-thermal ablation tool with poor coagulation efficiency. Coagulation depth can be increased by pulse width/rate increase.

IR CO2 laser wavelengths are shown to be highly efficient and spatially accurate photo-thermal ablation tool with excellent coagulation efficiency (close match between coagulation depth and oral soft tissue blood capillary diameters). Coagulation depth can be increased by pulse width/rate increase.

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