DENTAL LASER TREATMENT SYSTEMS AND METHODS TO PREVENT DISCOLORATION AND AGING
20230181926 · 2023-06-15
Assignee
Inventors
Cpc classification
A61N5/062
HUMAN NECESSITIES
A61C7/08
HUMAN NECESSITIES
A61C19/066
HUMAN NECESSITIES
International classification
Abstract
In one aspect, embodiments relate to systems and methods for preventing one or more of discoloration and attrition of dental surfaces of a patient undergoing orthodontic realignment using a clear polymer aligner. An exemplary system includes: a laser arrangement configured to generate a laser beam, an optical arrangement configured to direct the laser beam toward exposed tooth surfaces, and a laser controller configured to control the laser beam in order to heat at least a portion of the exposed tooth surfaces to affect one or more of a mechanical property and a chemical property, wherein the exposed tooth surfaces are located within a cavity of the clear polymer aligner when worn.
Claims
1. A system for preventing one or more of discoloration and attrition of dental surfaces of a patient undergoing orthodontic realignment using a clear polymer aligner, the method comprising: a laser arrangement configured to generate a laser beam; an optical arrangement configured to direct the laser beam toward exposed tooth surfaces; and, a laser controller configured to control the laser beam in order to heat at least a portion of the exposed tooth surfaces to affect one or more of a mechanical property and a chemical property, wherein the exposed tooth surfaces are located within a cavity of the clear polymer aligner when worn.
2. The system of claim 1, wherein the mechanical property is one or more of crystallinity, hardness, and modulus.
3. The system of claim 2, wherein the laser beam affects an increase in crystallinity of the exposed tooth surfaces, thereby slowing discoloration.
4. The system of claim 1, wherein the chemical property is one or more of solubility to one or more acids, carbonate content, crystal shape, and crystal size.
5. The system of claim 4, wherein the laser beam affects a decrease of solubility to one or more acids, thereby slowing attrition.
6. The system of claim 1, further comprising a composition configured to be applied to the exposed tooth surfaces.
7. The system of claim 6, wherein the composition comprises one or more of a fluoride agent, a remineralization agent, a desensitization agent, and a whitening agent.
8. The system of claim 1, wherein the exposed tooth surfaces comprise an aesthetic surface.
9. The system of claim 1, wherein the system is configured to perform the laser treatment prior to application of the clear polymer aligners.
10. The system of claim 1, wherein the system is configured to perform the laser treatment during or after application of the clear polymer aligners.
11. A method for preventing one or more of discoloration and attrition of dental surfaces of a patient undergoing orthodontic realignment using a clear polymer aligner, the method comprising: performing a laser treatment on exposed tooth surfaces on a plurality of the patient's teeth, wherein the laser treatment comprises: generating, using a laser arrangement, a laser beam; directing, using an optical arrangement, the laser beam toward the exposed tooth surfaces; and, controlling, using a laser controller, the laser beam in order to heat at least a portion of the exposed tooth surfaces to affect one or more of a mechanical property and a chemical property, wherein the exposed tooth surfaces are located within a cavity of the clear polymer aligner when worn.
12. The method of claim 11, wherein the mechanical property is one or more of crystallinity, hardness, and modulus.
13. The method of claim 12, wherein the laser beam affects an increase in crystallinity of the exposed tooth surfaces, thereby slowing discoloration.
14. The method of claim 11, wherein the chemical property is one or more of solubility to one or more acids, carbonate content, crystal shape, and crystal size.
15. The method of claim 14, wherein the laser beam affects a decrease of solubility to one or more acids, thereby slowing attrition.
16. The method of claim 11, further comprising applying a composition to the exposed tooth surfaces.
17. The method of claim 16, wherein the composition comprises one or more of a fluoride agent, a remineralization agent, a desensitization agent, and a whitening agent.
18. The method of claim 11, wherein the exposed tooth surfaces comprise an aesthetic surface.
19. The method of claim 11, wherein the method is performed prior to application of the clear polymer aligners.
20. The method of claim 11, wherein the method is performed during or after application of the clear polymer aligners.
Description
BRIEF DESCRIPTION OF DRAWINGS
[0074] Non-limiting and non-exhaustive embodiments of the invention are described with reference to the following figures, wherein like reference numerals refer to like parts throughout the various views unless otherwise specified.
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DETAILED DESCRIPTION
[0090] Various embodiments are described more fully below with reference to the accompanying drawings, which form a part hereof, and which show specific exemplary embodiments. However, the concepts of the present disclosure may be implemented in many different forms and should not be construed as limited to the embodiments set forth herein; rather, these embodiments are provided as part of a thorough and complete disclosure, to fully convey the scope of the concepts, techniques and implementations of the present disclosure to those skilled in the art. Embodiments may be practiced as methods, systems or devices. Accordingly, embodiments may take the form of a hardware implementation, a complete software implementation or an implementation combining software and hardware aspects. The following detailed description is, therefore, not to be taken in a limiting sense.
[0091] Reference in the specification to “one embodiment” or to “an embodiment” means that a particular feature, structure, or characteristic described in connection with the embodiments is included in at least one example implementation or technique in accordance with the present disclosure. The appearances of the phrase “in one embodiment” in various places in the specification are not necessarily all referring to the same embodiment.
[0092] Some portions of the description that follow are presented in terms of symbolic representations of operations on non-transient signals stored within a computer memory. These descriptions and representations are used by those skilled in the data processing arts to most effectively convey the substance of their work to others skilled in the art. Such operations typically require physical manipulations of physical quantities. Usually, though not necessarily, these quantities take the form of electrical, magnetic or optical signals capable of being stored, transferred, combined, compared and otherwise manipulated. It is convenient at times, principally for reasons of common usage, to refer to these signals as bits, values, elements, symbols, characters, terms, numbers, or the like. Furthermore, it is also convenient at times, to refer to certain arrangements of steps requiring physical manipulations of physical quantities as modules or code devices, without loss of generality.
[0093] However, all of these and similar terms are to be associated with the appropriate physical quantities and are merely convenient labels applied to these quantities. Unless specifically stated otherwise as apparent from the following discussion, it is appreciated that throughout the description, discussions utilizing terms such as “processing” or “computing” or “calculating” or “determining” or “displaying” or the like, refer to the action and processes of a computer system, or similar electronic computing device, that manipulates and transforms data represented as physical (electronic) quantities within the computer system memories or registers or other such information storage, transmission or display devices. Portions of the present disclosure include processes and instructions that may be embodied in software, firmware or hardware, and when embodied in software, may be downloaded to reside on and be operated from different platforms used by a variety of operating systems.
[0094] The present disclosure also relates to an apparatus for performing the operations herein. This apparatus may be specially constructed for the required purposes, or it may comprise a general-purpose computer selectively activated or reconfigured by a computer program stored in the computer. Such a computer program may be stored in a computer readable storage medium, such as, but is not limited to, any type of disk including floppy disks, optical disks, CD-ROMs, magnetic-optical disks, read-only memories (ROMs), random access memories (RAMs), EPROMs, EEPROMs, magnetic or optical cards, application specific integrated circuits (ASICs), or any type of media suitable for storing electronic instructions, and each may be coupled to a computer system bus. Furthermore, the computers referred to in the specification may include a single processor or may be architectures employing multiple processor designs for increased computing capability.
[0095] The processes and displays presented herein are not inherently related to any particular computer or other apparatus. Various general-purpose systems may also be used with programs in accordance with the teachings herein, or it may prove convenient to construct more specialized apparatus to perform one or more method steps. The structure for a variety of these systems is discussed in the description below. In addition, any particular programming language that is sufficient for achieving the techniques and implementations of the present disclosure may be used. A variety of programming languages may be used to implement the present disclosure as discussed herein.
[0096] In addition, the language used in the specification has been principally selected for readability and instructional purposes and may not have been selected to delineate or circumscribe the disclosed subject matter. Accordingly, the present disclosure is intended to be illustrative, and not limiting, of the scope of the concepts discussed herein.
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[0098] A third arch 120 is shown, in which teeth of the third arch have experienced enamel thinning. Thinning enamel 122 is shown for example on the occlusal surfaces of the front teeth and appears as a shear translucent section of enamel, in
[0099] A fourth arch 130 is shown, in which teeth of the fourth arch 130 have experienced an increase in porosity and staining 132. Aging is commonly associated with dental discoloration. Extrinsic tooth staining is affected by numerous factors including enamel defects, salivary composition, salivary flow, poor oral hygiene, exposure to extrinsic staining agents and intrinsic physiological changes to the patient. Surface staining (i.e., discoloration of an outer surface of the teeth) is exacerbated by increased tooth surface roughness. For example, tobacco stains common among users of tobacco (e.g., cigarettes and smokeless tobacco) have been found to form at rates that are not correlative with the amount of tobacco consumed by the tobacco-user. Instead, tobacco stains form more prevalently on teeth of tobacco-users who have rougher tooth surfaces, regardless of how much tobacco they use. Pronounced enamel roughening, such as pitting, allows surface staining agents to adhere better (within the pits), discoloring the surface with their presence. Additionally, with increased adhesion, the staining agents remain proximal the enamel for longer durations and the staining agents ultimately begin to penetrate the enamel forming internal stains. Once discoloration appears within the tooth, bleaching agents (i.e., oxidizing agents), such as hydrogen peroxide, are used to remove the stains. Removal of surface stains is commonly achieved through polishing the surface of the enamel. For example, 30 seconds of dental prophylaxis removes on average about 3 micrometers of enamel. In cases of more pronounced surface staining, microabrasion and/or acid etching (for example, with hydrochloric acid) is used to remove up 200 micrometers of enamel and smooth the tooth surface. Unlike dental attrition, dental discoloration can be restored. However, in some cases (e.g., surface stains), addressing the discoloration will result in further removal of the irreplaceable enamel.
[0100] Referring now to
[0101] Factors relating to the rate of enamel aging include a current condition of the patient's enamel, an age of the patient, a dental history of the patient, salivary production of the patient, and behaviors or habits of the patient. Determination in some cases can be made based in part upon a current condition of the patient's teeth. For example, has the patient lost a lot of enamel already given her age? In some cases, determination of a patient's risk level for enamel aging is made based in part upon her behavior. For example, in some circumstances patients that are bruxers (i.e., patients who grind their teeth) are considered to be at increased risk of enamel aging. Additionally, patients who take medications (e.g., certain blood pressure medications) that reduce saliva production are considered, in some cases, to be at increased risk of enamel aging. Patients who seldom visit the dentist's office for dental cleanings, in some cases are considered to be at an increased risk to enamel aging. Patients who consume many acidic beverages (e.g., soda, coffee, or wine) are considered in some cases to be at an increased risk of enamel aging. Patients who habitually place foreign objects in their mouth (e.g., keys, pens, or bottle caps) are in some cases considered to be at an increased risk of enamel aging. Patients who eat a hard diet are in some cases considered to be at an increased risk of enamel aging. The aforementioned are exemplary factors relating to a patient's risk for an increased rate of enamel aging. Any number of additional factors are also conceivable and are not included for brevity. In some cases, the determination that the patient is at risk to enamel aging 210 is informed by the patient's low-tolerance for aged teeth.
[0102] As described above, there are many (perhaps countless) factors that can affect a patient's rate of enamel aging. Additionally, each patient will have a different perspective on the rate at which her teeth age. Some patients will feel comfortable with their teeth aging at a physiologically “natural” rate, so long as the rate of enamel aging is not approaching pathological. Other patients will wish that their teeth remain unaged from when they were in their twenties. An individual patient, therefore, may be determined to be at risk of enamel aging even though there is no reason to believe that her rate of enamel aging is above average. A patient, in some cases, is determined to be at risk of enamel aging because the patient is desirous to slow the rate of enamel aging.
[0103] Next, a laser treatment is performed on the patient's enamel surfaces. In some cases, the treatment is performed on a number of surfaces determined to be at risk of enamel aging. In some cases, the treatment is performed especially on aesthetic enamel surfaces (i.e., enamel surfaces that are visible when the patient smiles fully). Alternatively, in some cases, the treatment is performed on most or nearly all (e.g., greater than 50% or greater than 80%) of enamel surfaces.
[0104] The laser treatment begins by generating a laser beam. The laser beam is typically generated using a laser source. Exemplary laser sources include: CO.sub.2 lasers having a wavelength between 9 μm and 11 μm, fiber lasers, diode pumped solid state lasers (DPSS), Q-switched solid-state lasers (e.g., third harmonic Nd:YAG lasers having a wavelength of about 355 nm), Excimer lasers, and diode lasers. Commonly the laser beam has a wavelength that is well absorbed (e.g., has a wavelength having an absorption coefficient greater than 1 cm.sup.−1, 100 cm.sup.−1, or 1,000 cm.sup.−1) by a dental hard tissue. The laser beam is then directed toward a number of surfaces of the dental tissue. In some embodiments, the laser beam is directed into an intra-oral cavity using a beam delivery system. The laser beam is often directed within the intra-oral cavity using a hand piece. In some embodiments, the laser beam is converged, using a focus optic, as it is directed toward the dental hard tissue, such that it comes to a focal region proximal the surface of the dental hard tissue. Exemplary focus optics include lenses (e.g., Zinc Selenide Plano-Convex lenses having an effective focal length of 200 mm) and parabolic mirrors. In some embodiments, the laser beam is scanned as it is directed toward the surface of the dental hard tissue by a beam scanning system. Exemplary beam scanning systems include Risley prisms, spinning polygon mirrors, voice coil scanners (e.g., Part No. MR-15-30 from Optotune of Dietikon, Switzerland), galvanometers (e.g., Lightning II 2-axis scan head from Cambridge Technology of Bedford, Mass., U.S.A.), and a gantry with a translating focus optic. Scanning methods related to dental laser systems are described in U.S. Pat. No. 9,408,673 by N. Monty et al., incorporated herein by reference.
[0105] In some embodiments, a parameter of the laser beam is controlled to affect treatment. Typically, the parameter of the laser beam is controlled in order to heat a portion of the surface of the dental hard tissue to a temperature within a range, for example between about 400° C. and about 1300° C. Exemplary laser parameters include pulse energy, pulse duration, peak power, average power, repetition rate, wavelength, duty cycle, laser focal region size, laser focal region location, and laser focal region scan speed. During laser treatment a laser beam is generated and directed toward a surface of dental hard tissue. Typically, the laser beam is pulsed at a prescribed repetition rate and has a certain pulse duration. Alternatively, pulses can be delivered on demand, and the pulse duration can vary (for example, to control heating of the surface of the dental hard tissue). As a result of the irradiation of the surface, a temperature of the surface rises typically to within a range (e.g., between 400° C. and 1300° C.) momentarily (e.g., during a duration of the laser pulse) and cools back to a normal temperature range (e.g., within a range of 20° C. and 60° C.). As a result of the momentary temperature rise biological materials previously near or adhered to the surface of the dental hard tissue (e.g., pellicle, bio-film, calculus, and tartar) are at least partially removed or denatured. In some embodiments, this removal of biological materials substantially cleans the teeth and the laser treatment replaces other tooth cleaning procedures typically performed during a dental check-up (e.g., scaling and polishing). Additionally, as described above, heating the surface of the dental hard tissue removes impurities (e.g., carbonate) from the dental hard tissue and makes the dental hard tissue less-susceptible to acid dissolution (e.g., demineralization). An exemplary laser energy dosage delivered during a single treatment does not exceed an average power of about 2 W, a treatment time of about 600 seconds, and therefore does not deliver more than about 1200 J of laser energy to the oral cavity. In some embodiments, the laser treatment is performed after other treatments during a dental visit. For example, in some cases the dental laser treatment is performed only after one or more of removal of plaque and tartar (with one or more manual instruments), professional flossing, and power polishing (i.e., dental prophylaxis). This order of steps in some cases is considered advantageous, as the laser treatment purifies only an outer portion (e.g., 2 μm thick) of the dental enamel and some dental cleaning treatments can remove a portion of dental enamel (e.g., power polishing), potentially removing the enamel which has just been purified.
[0106] In order to perform effective treatment, the enamel surface needs to have its temperature raised momentarily to within an elevated range (e.g., about 400° C. to about 1500° C.). As described throughout, elevating the temperature of enamel changes the chemical composition of hydroxyapatite within the enamel. Dental enamel comprises 96% (wt %) hydroxyapatite, 3% water, and 1% organic molecules (lipids and proteins). Specifically, dental enamel comprises 96% calcium-deficient carbonated hydroxyapatite (CAP), with a chemical formula approximated by Ca.sub.10-xNa.sub.x(PO.sub.4).sub.6-y(CO.sub.3).sub.z(OH).sub.2-uF.sub.u. The ideal chemical formula for hydroxyapatite (HAP), by comparison, is approximated as Ca.sub.10(PO.sub.4).sub.6(OH).sub.2. The calcium deficiency of dental enamel is shown by the x in Ca.sub.10-x. Some of the calcium is replaced by metals, such as sodium, magnesium, and potassium. These metals together total about 1% of enamel. Some of the OH molecules in dental enamel are replaced by F. But, the major difference between CAP and HAP comes with the presence of carbonate. Carbonate comprises between about 2 and about 5% (wt %) of dental enamel. The presence of carbonate within the hydroxyapatite structure disturbs a crystal lattice of the CAP, changing the size and shape of the unit crystal form and resulting in different mechanical and chemical properties between CAP and HAP. Increased carbonate content in enamel correlates with increases in susceptibility to acid and inversely correlates with crystallinity, hardness, and modulus (i.e., stiffness). Said another way the purer HAP erodes (through acid dissolution), wears (through mechanical means), and ages more slowly, compared to CAP.
[0107] As has been described in literature, including the Co-owned Int. Patent Appl. No. PCT/US21/15567, entitled “Preventative Dental Hard Tissue Laser Treatment Systems, Methods, and Computer-Readable Media”, by C. Dresser et al., incorporated herein by reference, carbonate can be removed from dental enamel by laser irradiation at prescribed parameters. Specifically, by using a laser source that is well absorbed (e.g., absorbance of at least 500 cm.sup.−1) in dental enamel, and heating the surface of the tooth momentarily (e.g., at pulse durations that are no greater than 100× a thermal relaxation time) to a temperature of at least about 400° C., carbonate is driven (e.g., sublimated) from the enamel.
[0108] Next, the flowchart 200 shows that the treatment is to be repeated periodically 230. This is because, the laser treatment typically only affects an outer portion (e.g., thickness no more than about 500 μm, 100 μm, 50 μm, 10 μm, 5 μm, or 2 μm) of the treated surface. This outer portion possesses improved mechanical properties and results in a slowing of the processes associated with enamel aging. However, the outer treated portion is finite and will eventually succumb over time. For this reason, it is necessary to repeat treatment periodically 230 to ensure lasting anti-aging results. In some cases, it is advantageous to repeat treatment at least once every 10, 5, 3, 2, 1, or 0.5 years. The literature, which describes the vast potential of laser treatment to prevent caries, fails to suggest that periodic retreatment may be necessary and instead tends to assume that a one-time treatment will suffice for most patients.
[0109] Advantages of periodic retreatment is illustrated by way of a graph 300 in
[0110] In some embodiments, laser treatment removes one or more of a biofilm, calculus, tartar, and pellicle. Currently, during conventional dental cleanings, a dental scalar is used to remove plaque, calculus, and tartar from the surface of teeth, for example between teeth and near the gumline. Many patients especially dislike this process during the dental cleaning, when the metal scaler scrapes and picks at their teeth. Instead, in some embodiments, a non-contacting sensationless (e.g., touchless, noiseless, smell-less, etc.) laser treatment is used to remove calculus, tartar, or plaque from dental hard tissue surfaces, including enamel, dentine, and cementum.
[0111] Referring to
[0112] Thermal relaxation time is defined, in some cases, to represent an estimated amount of time required for thermal diffusion to reduce temperature in a layer of dental tissue, having a certain thickness, by approximately one half. Commonly, the thickness of the layer of dental tissue is taken to be an optical penetration depth, which is approximated as an inverse of the absorbance coefficient of the laser radiation in dental tissue, or:
where, X(λ) is the optical penetration depth as a function of wavelength, λ is wavelength of the laser, and μ.sub.a(λ) is the absorption coefficient of dental tissue at the laser wavelength. The thermal relaxation time, or time for a temperature required for tissue at a certain depth to reach about 84% of a surface temperature, is approximated as:
where, t is the thermal relaxation time, x is the depth of the location of the tissue, and K is a thermal diffusivity of the tissue (e.g., enamel, dentine, or cementum). In some cases, it is appropriate to calculate an axial (depth orientated) thermal relaxation time, as described above and (by using the optical penetration depth as x). Alternatively, it is appropriate to calculate a radial thermal relaxation time that represents an amount of time for tissue radially displaced from the laser beam to heat as a result of pulsed laser cooling (by using a width of the laser beam as x). In many cases, the laser beam width is larger than the optical penetration depth and as a result the shorter of the two thermal relaxation times (axial and radial) is the axial thermal relaxation time. Thermal diffusivity is given as:
where, K is the thermal diffusivity (for example, in units of m.sup.2/s, k is thermal conductivity (for example, in units of W/[mK]), ρ is density (for example, in units of kg/m.sup.3), and c.sub.p is specific heat capacity (for example, in units of J/[kgK]). Exemplary thermal parameters for dental enamel include, a density of about 2.9 g/cm.sup.3, a specific heat capacity of about 0.75 J/(g° C.), a thermal conductivity of about 9.2×10.sup.−3 W/(cm° C.), and a thermal diffusivity of about 0.0042 cm.sup.2/s. Exemplary thermal relaxation times for dental enamel with a 10.6 micron and 9.6 micron laser are about 1 μs and about 90 μs, respectively.
[0113] The laser beam is directed to exposed dental surfaces 412. Exposed dental surfaces comprise all tooth surfaces in the mouth, including buccal surfaces, facial surfaces, palatal surfaces, lingual surfaces, occlusal surfaces, interproximal surfaces, mesial surfaces, and distal surfaces. Generally, all tooth surfaces in the mouth have a salivary pellicle formed upon them. This pellicle layer (i.e., biofilm) is formed from proteins and glycoproteins in saliva. Under normal oral conditions, the pellicle layer protects the underlying tissue surface (i.e., enamel, dentin, or cementum). For example, the pellicle protects the dental tissue from direct exposure to acids, such as those formed by bacteria or those ingested by the patient. The pellicle is also normally colonized by bacteria (e.g., gram positive aerobic cocci, such as Streptococcus sanguinis, Streptococcus mutans, and Lactobacilli). Because the pellicle covers and protects the dental surfaces, it also prevents dental surfaces from being directly exposed to any number of compositions that are being employed to bring about a desired effect. For example, some tooth whitening procedures first instruct the patient to brush her teeth with a weak acid formulation to break down the pellicle, before applying the whitening (e.g., hydrogen peroxide) composition to whiten her teeth. Brushing one's teeth with acid is not a daily routine that most would consider healthy or anti-aging for teeth, but it increases the speed of effective whitening treatment by allowing the enamel to be directly wetted by the whitening composition.
[0114] The laser beam, as it is directed to the exposed dental surface, is typically better absorbed by the underlying dental surface (e.g., enamel) than by the pellicle layer. For example, an absorption coefficient of a CO.sub.2 laser beam in enamel is 8,000 cm.sup.−1, 5,500 cm.sup.−1, and 825 cm.sup.−1 for 9.3 μm, 9.6 μm, and 10.6 μm wavelengths respectively..sup.iv v For the same 9.3 μm, 9.6 μm, and 10.6 μm wavelengths the absorption coefficient in 100% water is about 600 cm.sup.−1 and in 4% water is about 30 cm.sup.−1..sup.vi Depending upon a hydration level of the salivary pellicle a nominal to moderate amount of absorption of laser radiation will occur within the pellicle. Conversely, a moderate to very high level of laser radiation occurs within the enamel. In cases of high laser absorption (e.g., absorption coefficient greater than 600 cm.sup.−1) in enamel and low laser absorption (e.g., absorption coefficient less than 600 cm.sup.−1) in the pellicle, most of the laser energy is absorbed in a surface of the enamel. The laser energy absorbed in the outer surface of the enamel typically occurs in such a narrow width (the width of the laser beam) (e.g., less than 2 mm, less than 1 mm, less than 0.5 mm or less than 0.25 mm) and at such a thin depth (approximated by an optical penetration depth, which is an inverse of the absorption coefficient) (e.g., less than 0.2 mm, less than 0.1 mm, less than 0.02 mm, less than 0.01 mm, less than 0.005 mm, or less than 0.002 mm) that a small amount of energy (e.g., less than 100 mJ, less than 50 mJ, less than 20 mJ, less than 10 mJ, less than 5 mJ, or less than 2 mJ) raises a temperature of the surface of the enamel significantly (e.g., greater than 50° C., greater than 100° C., greater than 200° C., greater than 500° C., greater than 700° C., or greater than 1000° C.) momentarily (e.g., less than 10 ms, less than 1 ms, less than 0.5 ms, or less than 0.1 ms). As a result of this momentary rise of enamel surface temperature, the pellicle layer is removed (e.g., vaporized, sublimated, ablated, or denatured). Unlike other forms of removing the pellicle layer (e.g., dental prophylaxis, acid etching, or abrasion), laser treatment does not risk removal of the enamel, but substantially only the pellicle layer, along with any plaque, tartar or surface contaminants (i.e., biofilm), is removed. In some embodiments, the enamel is raised to a temperature within a first range between about 100° C. and about 400° C. In this first range, the salivary pellicle is substantially removed, but the enamel does not experience any substantial improvements to its mechanical properties (e.g., removal of carbonate, increased crystallinity, increased modulus [i.e., stiffness], increased resistance to acid or increased hardness). In some cases, heating the enamel surface within this first range is advantageous as the pellicle is removed, while the underlying enamel remains receptive to topical compositions (e.g., whiting agents, remineralization agents, and fluoride treatments). Alternatively, in some embodiments, the enamel is raised to a temperature within a second range between about 400° C. and about 1500° C. When heated to a temperature within this second range, the surface of the enamel has the pellicle layer removed and also experiences improvements to its mechanical properties (e.g., removal of carbonate, increased crystallinity, increased modulus [i.e., stiffness], increased resistance to acid, or increased hardness). Heating of enamel to a temperature within this range removes carbonate impurities from within the enamel surface..sup.vii A lack of carbonate impurities within enamel (i.e., hydroxyapatite) correlates with an increase in mechanical properties, such as crystallinity, modulus, hardness, and resistance to acid..sup.viii ix
[0115] In some embodiments, one or more laser parameters are controlled to control the temperature rise of the dental surface. Exemplary parameters that can be controlled to affect the temperature rise include, pulse duration, pulse energy, repetition rate, fluence, irradiance, peak power, average power, number of overlapping pulses at a given location, and time between pulses (i.e., repletion period). The fluence of the laser at the surface of the enamel is commonly selected to affect a temperature rise of dental enamel. For example, with a 9.3 micron laser and a pulse duration in a range between about 0.1 and about 100 μs, a fluence greater than about 0.5 J/cm.sup.2 and less than about 5 J/cm.sup.2 causes elevation of enamel surface temperature to within the 400° C. to 1500° C. range. Predictive modeling of effects of laser treatment on surface temperature rise has been found substantially accurate. For example, a nodal finite element analysis using Fourier conduction, Beer's absorption, and Newton's cooling with known parameters has been performed by the applicant. This analysis demonstrated that predictable surface temperature results are attained through use of the model. The model was verified by bench tests with multiple laser sources having peak powers ranging from about 50 W to about 1000 W. Further disclosure related to parameter selection for dental surface temperature rise and nodal-FE analysis for parameter selection is described in detail in U.S. Patent Appl. No. 62/968,910, entitled Laser Delivery of Transverse Electromagnetic Modes for Even Preventative Dental Hard Tissue Treatment, by N. Monty et al., incorporated herein by reference. Predictable temperature rise based upon known thermal and photonic constants allows for the selection and control of parameters to control temperature rise. For example, in some embodiments, a laser parameter is controlled in order to control the temperature rise of a non-enamel dental hard tissue (e.g., dentin, cementum, or osseous tissue) to a range having a lower boundary and an upper boundary. The lower boundary being selected to exceed a denaturing threshold of the biofilm (e.g., at least 50° C. or at least 100° C.). The upper boundary being selected not to exceed a tissue combustion, carbonization, incineration, or melting threshold (e.g., no more than about 200° C., no more than about 400° C., no more than about 600° C., or no more than about 1000° C.).
[0116] In some cases, removal of the biofilm completes the laser procedure. Alternatively, in some embodiments, a composition is applied directly to the surface 418, with substantially no pellicle (or biofilm) layer between the composition and the surface. In some embodiments, the direct application of the composition without an intermediary pellicle or biofilm layer improves the efficacy of the composition and, in some cases, allows a decreased dosage (e.g., concentration of active ingredient) of the composition to be used. Exemplary compositions include whiting agents, fluoride treatments, desensitizing agents, remineralization agents, sealants, composite filings, etches, wetting agents, and adhesives.
[0117] In some cases, the composition includes a fluoride composition. Fluoride treatment is known to cause fluorapatite to form in dental hard tissues. Fluorapatite is a harder mineral and more resistant to acid than is hydroxyapatite. Application of a fluoride composition after removal of the biofilm allows the fluoride to be applied directly to the dental hard tissue surface and not need to first diffuse through the protective salivary pellicle. In some cases, this direct application of the fluoride composition increases the effectiveness of the fluoride composition. Exemplary fluoride compositions include Sodium Fluoride, Stannous Fluoride, Titanium Tetrafluoride, Acidulated-Phosphate Fluoride, and Amine Fluoride. In some cases, the fluoride composition takes a form of one or more of a varnish, a gel, a foam, a liquid, and a dentifrice.
[0118] In some cases, the composition includes a whitening agent. As described above whitening agents are reduced in efficacy by the protective salivary pellicle, which prevents all of the oxidizing agents (present in the whitening agent) from reaching the underlying hard tissue. As a result, some whitening procedures call for pellicle damaging agents and procedures to be applied prior to the application of the whitening agent. Instead, the laser treatment removes the pellicle (and other biofilms if present) allowing the whitening agent to be applied directly to the dental hard tissue undergoing whitening (e.g., enamel, dentine, or cementum). In some cases, direct application of the whitening agent to the dental hard tissue allows the whitening agent to have a reduced dosage (e.g., reducing concentration or reduced quantity of whitening agent). In some embodiments, the whitening agent comprises one or more of hydrogen peroxide, carbamide peroxide, and sodium perborate.
[0119] In some cases, the composition includes a remineralization agent or a desensitizing agent. When carbonate is removed from the enamel surface it leaves behind calcium and phosphate deficient hydroxyapatite. Application of a remineralization agent after laser treatment, in some cases, introduces a calcium or phosphate rich material proximal the enamel surface allowing the calcium and phosphate deficient hydroxyapatite to uptake calcium and phosphate. In some embodiments, the remineralization agent comprises a composition, which is substantially adherent to the enamel surface, such that pellicle formation occurs over the composition (e.g., a varnish or a gel) effectively enriching the pellicle matrix with calcium and/or phosphate. In some embodiments, the remineralization agent comprises one or more of fluoride remineralization agents (see below), nonfluoride remineralization agents (e.g., Alpha tricalcium phosphate [TCP] and beta TCP [β-TCP], Amorphous calcium phosphate [ACP], casein phosphopeptide-stabilized amorphous calcium phosphate [CPP-ACP], Sodium calcium phosphosilicate [bioactive glass], Xylitol, Dicalcium phosphate dehydrate [DCPD], Nanoparticles for remineralization [e.g., Calcium fluoride nanoparticles, Calcium phosphate-based nanomaterials, NanoHydroxyapatite {NanoHAP} particles, ACP nanoparticles, Nanobioactive glass materials]), Polydopamine, proanthocyanidin [PA], Oligopeptides, Theobromine, Arginine, Self-assembling peptides, and Electric field-induced remineralization.
[0120] Referring to
[0121] Referring to
[0122]
[0123]
[0124] According to a certain exemplary embodiment, the first light channel 548 at least partially overlaps with a wavelength range that is representative of the carbonate peak 526 (e.g., wavenumber between about 1100 and about 1300 cm.sup.−1) and the second light channel 550 at least partially overlaps with a wavelength range that is representative of the phosphate peak 528 (e.g., wavenumber between about 700 and 1200 cm.sup.−1). The illumination light 538 includes wavelengths of light in both the first and second channels. In some cases, the illumination light 538 comprises broad spectrum infrared light. The illumination pathway 536, in some cases, includes a 2 to 11 micrometer wavelength light source (e.g., Thorlabs Part No. HPIR104). Broad spectrum infrared light in the illumination pathway 536 and return pathway 542 is directed by way of one or more of a free space (e.g., mirror reflected) optical arrangement, a hollow waveguide, a chalcogenide fiber optic (e.g., AsSe core-clad fiber), and polymer IR materials (e.g., Ploy-IR from Fresnel Technologies).
[0125] According to some embodiments, at least one of a presence or an absence of a biofilm (e.g., pellicle layers) is detected during treatment. For example, in some cases, the light analysis arrangement detects the presence or the absence of the biofilm upon a surface being treated, intra-treatment. For example, the presence of biofilm, in some cases, is detected by an attenuation of one or more absorbance bands commonly associated with dental enamel (e.g., the carbonate band and the phosphate band). Alternatively, the presence of biofilm, in some cases, is detected by a presence of an absorbance (or reflectance) band associated with a substance (e.g., chromophore or fluorophore) present within the biofilm (e.g., protein, glycoprotein, bacteria, carbohydrates, lipids, and water). In some cases, the absence of the biofilm is detected by a detection condition that is contrary (or contradictory) to a detection condition related to the presence of biofilm.
[0126] In some embodiments, at least one of a presence or an absence of carbonate within the dental hard tissue is detected. For example, in some cases, the light analysis arrangement detects the presence or the absence of carbonate within a surface being treated, intra-treatment. For example, the presence of carbonate, in some cases, is detected by a comparing an amount of light detected from the first return light channel 548 and the second return light channel 550. For example, the first light channel 548 and the second light channel 550 in some cases are analyzed to determine absorbance values for the carbonate peak 526 and the phosphate peak 528. The analyzed absorbance values for the carbonate peak 526 and the phosphate peak 528, in some cases, are then compared, for example ratiometrically, to estimate carbonate content within the dental tissue relative phosphate content. A ratio of carbonate content to phosphate content will decrease dramatically during certain laser treatments described herein, allowing for effective determination of treatment effectiveness intra-treatment.
[0127] According to some embodiments, dental enamel crystallinity is detected within the dental hard tissue. For example, in some cases, the light analysis arrangement detects a width of an absorbance band associated with the phosphate peak 528 and estimates crystallinity (i.e., relative crystallinity) of the dental enamel based upon this width. In some cases, as treatment is performed and carbonate is removed from the dental enamel, the crystalline structure of the enamel becomes more uniform. As a result of the increased crystallinity, the vibrational modes associated with phosphate molecules within the crystal become less varied. This decrease in variation of phosphate vibrational modes is evident through analysis of a width of the phosphate absorption band.
[0128] In some embodiments, a laser treatment is controlled (intra-treatment) based upon results of the return light analysis. For example, in some cases, the laser treatment is controlled to continue until (1) the biofilm is removed (i.e., substantially absent); (2) carbonate is removed (i.e., substantially absent) from the dental tissue; or, (3) the dental tissue increases in crystallinity. In still other cases, laser parameters are controlled intra-treatment based upon the return light analysis. For example, in one case, one or more laser parameters related to treatment fluence (i.e., pulse duration, pulse energy, or beam width) are controlled based upon a presence or an absence of one or more of biofilm, carbonate, and crystallinity. In some versions, the return light analysis returns a relative measure relating to the absence or the presence of one or more of the biofilm, the carbonate, or the crystallinity and the laser treatment is controlled based upon this relative measure.
[0129] Referring now to
[0130] According to the flowchart 600, first, a patient undergoing orthodontic alignment with clear aligners is determined 610. In some cases, the patient is currently undergoing alignment (i.e., is currently wearing clear aligners on a regular basis or as a course of therapy). Alternatively, in some cases, the patient is expected to begin orthodontic alignment in the future. Determining that the patient is using clear aligners 610, in some embodiments, is performed by one or more of a dentist, an orthodontist, a dental hygienist, another medical or dental professional, the patient herself, or another person close to the patient. In some cases, the practitioner who is prescribing the orthodontic treatment helps make the determination that the patient is now or soon will be undergoing orthodontic alignment using clear aligners.
[0131] A laser beam is then generated 612. As described throughout, in some embodiments the laser beam comprises a wavelength in a range of about 8 to 12 micrometers. In some embodiments, the laser beam is pulsed with a pulse duration not much greater than a thermal relaxation time of the enamel. Commonly, the laser beam is generated 612 with a laser source. Exemplary laser sources include carbon dioxide (CO.sub.2) lasers, carbon monoxide (CO) lasers, excimer lasers, fiber lasers, diode pumped solid state (DPSS) lasers, and semiconductor lasers.
[0132] Dental surfaces covered by the clear aligners (when in place) are then identified 614. In many cases, the clear aligners cover all of the teeth in an arch (e.g., upper arch or lower arch). In this case, all of the teeth surfaces in the arch would be identified as being covered by the clear aligners during treatment. The laser beam is then directed to the enamel surfaces covered with clear aligners during alignment 616. The clear aligners are typically removed during treatment, as the polymer of the clear aligners, in some cases, absorbs the laser beam. For this step, the laser beam is directed to enamel surfaces, which are covered by the clear aligners when the clear aligners are in place (i.e., on the teeth). The laser beam is controlled to effect a desired treatment. For example, the laser beam in some cases heats the tissue momentarily improving the mechanical properties of the enamel. Exemplary mechanical properties that are typically improved through treatment include, crystallinity, hardness, stiffness, and resistance to acidic dissolution. The laser beam, in some embodiments, is controlled to raise a surface temperature of the enamel surfaces. Typically, one or more parameters of the radiation are controlled with a controller. An exemplary controller includes laser control boards (e.g., Maestro from LANMark Controls Inc. of Acton, Mass., U.S.A.
[0133] Referring to
[0134] An exemplary system 800 is shown in
[0135] In accordance with one embodiment, the system 800 is used by a clinician. First, the clinician inputs operating parameters into the user interface 812, for example by using a touch screen. Then the clinician places the hand piece 816 within a patient's mouth and directs the hand piece 816 toward dental hard tissue. For example, the clinician positions the hand piece 816 so that a focal region of the laser beam is coincident with or near (e.g., +/−1 mm, 2 mm, 3 mm, or 5 mm) a surface of a tooth. Then, the clinician activates the laser by stepping on a foot pedal 818. The clinician moves the hand piece 816 within the patient's mouth, carefully directing the focal region of the laser beam near every treatment surface of the patient's teeth.
[0136] To aid in practice of the claimed invention and parameter selection a table is provided below with exemplary ranges and nominal values for relevant parameters.
TABLE-US-00001 Parameter Min. Max. Nom. Repetition Rate 1 Hz 100 KHz 1 KHz Pulse Energy 1 μJ 10 J 10 mJ Focal Region Width 1 μm 10 mm 1 mm Fluence 0.01 J/cm.sup.2 1 MJ/cm.sup.2 1 J/cm.sup.2 Wavelength 200-500 nm 4000-12000 nm 10.6 μm Numerical Aperture (NA) 0.00001 0.5 0.01 Focal length 10 mm 1000 mm 200 mm Average Power 1 mW 100 W 1 W Peak Power 50 mW 5000 W 500 W Scan Speed 0.001 mm/S 10 mm/S 100,000 mm/S Scan Location Spacing 0 0.5× Focal 10× Focal Region Width Region Width Bleaching Agents Hydrogen Peroxide, Carbamide Peroxide, Sodium Perborate Remineralizing and/or Fluorides (see below), Nonfluoride remineralizing agents (e.g., Alpha Desensitizing Agents tricalcium phosphate [TCP] and beta TCP [β-TCP], Amorphous calcium phosphate [ACP], casein phosphopeptide-stabilized amorphous calcium phosphate [CPP-ACP], Sodium calcium phosphosilicate [bioactive glass], Xylitol, Dicalcium phosphate dehydrate [DCPD], Nanoparticles for remineralization [e.g., Calcium fluoride nanoparticles, Calcium phosphate-based nanomaterials, NanoHydroxyapatite {NanoHAP} particles, ACP nanoparticles, Nanobioactive glass materials]), Polydopamine, proanthocyanidin [PA], Oligopeptides, Theobromine, Arginine, Self-assembling peptides, and Electric field-induced remineralization Fluoride Agents Sodium Fluoride, Stannous Fluoride, Titanium Tetrafluoride, Acidulated-Phosphate Fluoride, and Amine Fluoride
Exemplary Embodiment
[0137] Further explanation is provided below with an exemplary embodiment demonstrating effective treatment of dental surfaces to prevent deterioration common with aging.
[0138] Method—A 9.3 μm CO2 laser was used. The laser was a Luxinar OEM45ix. The laser was operated at an average power not in excess of 1 W. Output from the laser was directed by three reflectors and aligned into a galvanometer scan head. The laser was output from the galvanometer scan head and focused by focusing optics. The width of the laser focal region was determined using a 90-10 knife edge method. A knife (e.g., razor blade) was placed in front of the beam at the focal region and scanned transverse to the laser axis. A thermopile was used to measure laser power down beam from the knife edge. The knife edge location where the laser power is found to be at 10% and 90% was measured using a calibrated stage. This distance (i.e., 90-10 knife edge distance) was used to estimate the 1/e.sup.2 beam width. The 1/e.sup.2 beam width was then used to determine the desired pulse energy from a fluence (i.e., energy density) range known to affect treatment without melting: between about 0.5 and 1.0 J/cm.sup.2 x. Pulse energy was calculated by measuring the average power using a thermopile (Ophir PN: 30A-BB-18) and dividing by an average repetition rate, determined by an oscilloscope (PicoScope 2205A) measuring the amplified signal from a fast infrared photodiode (Hamamatsu PN: C12494-011LH). A laser scan pattern was developed using ScanLab software. A laser controller controlled the laser and the galvanometers to deliver the laser beam deterministically according to the scan pattern. The scan pattern sequentially delivered individual laser pulses to individual scan locations, in order to increase the effective treatment area of the laser beam, without increasing the focal region width (which would require greater laser energy per pulse to maintain the necessary energy density [fluence]). Additionally, each sequential pulse in the scan pattern was delivered to a location, which is non-adjacent to the previous pulse, with 7 individual laser pulses elapsing between adjacent pulses. This method of spacing sequential pulses maximized the amount of time between adjacent pulses, which allowed more time for the surface to cool post laser pulse to its initial temperature before another laser pulse acting at the same (or proximal) location was delivered. The laser scan pattern width was approximately 2.5 mm wide. An effective treatment area of this size or larger allows for a clinical viable treatment speed. For example, it was estimated that the treatable surface area of teeth in the mouth is about 2500 mm.sup.2, from available anatomical data.sup.xi. A 2.5 mm wide laser treatment, if scanned over the teeth at a rate of 5 mm/S, will theoretically be completed in a little under four minutes.
[0139] Referring to
TABLE-US-00002 Pulse Sam- Dura- Rep. Pulse Avg. Peak Ero- ple tion Power Rate Energy Fluence Fluence FTIR sion (—) (uS) (W) (Hz) (mJ) (J/cm2) (J/cm2) (Y/N) (min) 1 2.5 0.74 1.48 Yes 10 2 16.5 1.04 481 2.16 0.64 1.28 Yes 10 3 16.8 1.05 448 2.34 0.69 1.39 No 5 4 17.4 1.05 417 2.52 0.74 1.49 No 15 5 16.7 1.03 481 2.14 0.63 1.27 No 5 6 17.3 1.05 419 2.51 0.74 1.48 No 15
[0140] Results—Laser treatment with the exemplary embodiment was able to achieve both carbonate reduction and acid erosion resistance in human enamel. For example, 50% or more carbonate reduction correlated with a marked increase in acid demineralization resistance (e.g., 80%). It was found that most laser settings were able to achieve at least 50% carbonate reduction without introducing surface overheating. Also, some laser parameters could effectively remove all the carbonate from the surface of the tooth without surface damage. Referring to
[0141] Conclusion—The exemplary embodiment was able to produce an effective treatment at a speed suitable for the clinic, without damaging the surface of the teeth. Using the 9.3 μm laser, an average fluence setting between 0.5 and 0.75 J/cm.sup.2 removes carbonate, increases acid resistance, and does not damage the tooth surface. With this bench test, it was demonstrated that treatment can be performed quickly, using a large (e.g., 2.5 mm wide) scanned laser pattern and that this pattern can be arranged to prevent overtreatment (and overheating of the surface). Additionally, this treatment was demonstrated to be effective using both acid erosive tests and FTIR spectral analysis.
[0142] The methods, systems, and devices discussed above are examples. Various configurations may omit, substitute, or add various procedures or components as appropriate. For instance, in alternative configurations, the methods may be performed in an order different from that described, and that various steps may be added, omitted, or combined. For example, in some embodiments, fluoride treatment is omitted after laser treatment. Also, features described with respect to certain configurations may be combined in various other configurations. Different aspects and elements of the configurations may be combined in a similar manner. Technology evolves and, thus, many of the elements are examples and do not limit the scope of the disclosure or claims.
[0143] Embodiments of the present disclosure, for example, are described above with reference to block diagrams and/or operational illustrations of methods, systems, and computer program products according to embodiments of the present disclosure. The functions/acts noted in the blocks may occur out of the order as shown in any flowchart. For example, two blocks shown in succession may in fact be executed substantially concurrently or the blocks may sometimes be executed in the reverse order, depending upon the functionality/acts involved. Additionally, or alternatively, not all of the blocks shown in any flowchart need to be performed and/or executed. For example, if a given flowchart has five blocks containing functions/acts, it may be the case that only three of the five blocks are performed and/or executed. In this example, any of the three of the five blocks may be performed and/or executed.
[0144] A statement that a value exceeds (or is more than) a first threshold value is equivalent to a statement that the value meets or exceeds a second threshold value that is slightly greater than the first threshold value, e.g., the second threshold value being one value higher than the first threshold value in the resolution of a relevant system. A statement that a value is less than (or is within) a first threshold value is equivalent to a statement that the value is less than or equal to a second threshold value that is slightly lower than the first threshold value, e.g., the second threshold value being one value lower than the first threshold value in the resolution of the relevant system.
[0145] Specific details are given in the description to provide a thorough understanding of example configurations (including implementations). However, configurations may be practiced without these specific details. For example, well-known circuits, processes, algorithms, structures, and techniques have been shown without unnecessary detail in order to avoid obscuring the configurations. This description provides example configurations only, and does not limit the scope, applicability, or configurations of the claims. Rather, the preceding description of the configurations will provide those skilled in the art with an enabling description for implementing described techniques. Various changes may be made in the function and arrangement of elements without departing from the spirit or scope of the disclosure.
[0146] Having described several example configurations, various modifications, alternative constructions, and equivalents may be used without departing from the spirit of the disclosure. For example, the above elements may be components of a larger system, wherein other rules may take precedence over or otherwise modify the application of various implementations or techniques of the present disclosure. Also, a number of steps may be undertaken before, during, or after the above elements are considered.
[0147] Having been provided with the description and illustration of the present application, one skilled in the art may envision variations, modifications, and alternate embodiments falling within the general inventive concept discussed in this application that do not depart from the scope of the following claims. [0148] .sup.i Featherstone, J. D. B., Barrett-Vespone, N. A., Fried, D., Kantorowitz, Z., &. Seka, W. (1998). CO2 laser inhibition of artificial caries-like lesion progression in dental enamel. Journal of dental research, 77(6), 1397-1403. [0149] .sup.ii Featherstone, J. D., & Fried, D. (2001). Fundamental Interactions of Lasers with Dental Hard Tissues. Medical laser application, 16(3), 181-194. [0150] .sup.iii Hsu, D. J., Darling, C. L., Lachica, M. M., & Fried, D. (2008). Nondestructive assessment of the inhibition of enamel demineralization by CO2 laser treatment using polarization sensitive optical coherence tomography. Journal of biomedical optics, 13(5), 054027. [0151] .sup.iv Featherstone, J. D., & Fried, D. (2001). Fundamental Interactions of Lasers with Dental Hard Tissues. Medical laser application, 16(3), 181-194. [0152] .sup.v Featherstone, J. D., & Fried, D. (2001). Fundamental Interactions of Lasers with Dental Hard Tissues. Medical laser application, 16(3), 181-194. [0153] .sup.vi Vitruk, P. (2014). Oral soft tissue laser ablative and coagulative efficiencies spectra. Implant Practice US, 7(6), 19-27. [0154] .sup.vii Zuerlein, M. J., Fried, D., & Featherstone, J. D. (1999). Modeling the modification depth of carbon dioxide laser-treated dental enamel. Lasers in Surgery and Medicine: The Official Journal of the American Society for Laser Medicine and Surgery, 25(4), 335-347. [0155] .sup.viii Xu, C., Reed, R., Gorski, J. P., Wang, Y., & Walker, M. P. (2012). The distribution of carbonate in enamel and its correlation with structure and mechanical properties. Journal of materials science, 47(23), 8035-8043. [0156] .sup.ix Featherstone, J. D. B., & Lussi, A. (2006). Understanding the chemistry of dental erosion. In Dental erosion (Vol. 20, pp. 66-76). Karger Publishers. [0157] .sup.x Kim, J. W., Lee, R., Chan, K. H., Jew, J. M., & Fried, D. (2017). Influence of a pulsed CO 2. laser operating at 9.4 μm on the surface morphology, reflectivity, and acid resistance of dental enamel below the threshold for melting. Journal of biomedical optics, 22(2), 028001. [0158] .sup.xi Woelfel, J. B., & Scheid, R. C. (1997). Dental anatomy. Williams & wilkins.