Introduction
Background
Vertebral compression fractures (VCFs) affect an estimated 1.5 million adults annually in the United States [ 1 ]. About one-quarter of postmenopausal women will sustain a VCF in their lifetime, and prevalence approaches 40% by age 80 [ 2 , 3 ], with most fractures attributable to osteoporosis [ 4 ]. VCFs can cause severe back pain, functional impairment, and progressive thoracolumbar kyphosis, leading to secondary issues, including poor nutrition, reduced pulmonary capacity, sedentary behavior, and, in some cases, spinal cord compression with neurologic deficits [ 5 , 6 ]. Although nonoperative care is first-line, persistent pain and disability often prompt surgery. Two minimally invasive augmentation procedures - vertebroplasty and balloon kyphoplasty - have been used for decades. The safety and efficacy of these procedures have been both supported and questioned by multiple systematic reviews, clinical trials, cost-effectiveness studies, and quality-of-life studies published in the literature [ 1 , 2 , 6 - 11 ]. However, it is important to note that the majority of existing studies compare vertebroplasty or kyphoplasty with nonoperative medical management. There have been only a few prospective RCTs comparing the safety and efficacy of vertebroplasty with kyphoplasty, with limitations including small enrollment and underpowered trial design [ 8 ]. Therefore, although there are existing systematic reviews and meta-analyses directly comparing vertebroplasty and kyphoplasty, these data are subject to major limitations due to heterogeneity of results, which reflects the largely nonrandomized patient cohorts included [ 4 , 8 ].
Rationale
To address these limitations, we conducted a retrospective, propensity score-matched cohort study using a large national electronic health record (EHR) database to compare long-term outcomes between vertebroplasty and kyphoplasty for osteoporotic VCFs. We asked whether there are differences in subsequent thoracic or lumbar fractures, short-term neurologic complications and related decompression procedures, repeat vertebral augmentation, and long-term all-cause mortality.
Materials and methods
Study design
We performed a retrospective cohort study using the TriNetX US Collaborative Research Network, a federated, de-identified EHR platform that aggregates data from more than 60 healthcare organizations across the United States. The study period spanned January 1, 2000, through May 1, 2025. Because the data were aggregated and de-identified, this study was deemed exempt from review by the Western Institutional Review Board (IRB) by a qualified expert, as defined in Section §164.514(b)(1) of the HIPAA Privacy Rule.
Participants and study subjects
Patient cohorts were created on April 12, 2025, using Current Procedural Terminology (CPT) codes to identify adult patients who underwent thoracic or lumbar vertebroplasty or kyphoplasty. Vertebroplasty was defined by CPT codes 22510, 22511, and 22512, while kyphoplasty was defined by CPT codes 22513, 22514, and 22515. To isolate patients treated for osteoporotic VCFs, we excluded individuals under the age of 50 and those with a diagnosis of multiple myeloma (C90), primary malignant neoplasm of bone and articular cartilage (C40-C41), or secondary malignant neoplasm of bone or bone marrow (C79.5). The final cohorts included only patients aged 50 and older who underwent vertebral augmentation for nonmalignant fractures.
Description of experiment
Patients underwent either vertebroplasty or balloon kyphoplasty for osteoporotic VCFs, as identified using CPT codes within the TriNetX US Collaborative Research Network. Both procedures are percutaneous vertebral augmentation techniques, in which polymethylmethacrylate cement is injected into the fractured vertebral body. Kyphoplasty uses an inflatable balloon tamp to create a cavity, whereas vertebroplasty involves direct cement injection under fluoroscopic guidance. Because this was a retrospective database study, no standardized surgical technique, cement volume, or cement type could be controlled, and outcomes reflect real-world practice across participating health systems.
Variables and outcome measures
Outcomes were defined using International Classification of Diseases-10 (ICD-10) and CPT codes, as detailed in Table 1 . The primary outcomes included subsequent thoracic or lumbar vertebral fractures, repeat vertebral augmentation procedures, spinal impingement syndromes (such as radiculopathy or spinal cord compression), decompressive spinal surgery (laminectomy), opioid prescription frequency, and all-cause mortality. Subsequent vertebral fractures were assessed up to one year following the index procedure. Repeat vertebral augmentation procedures were evaluated within two years of the initial intervention. Spinal impingement diagnoses and decompressive spinal surgeries were assessed within one month of the procedure to increase specificity. Opioid prescription frequency was assessed within one year post-procedure, and all-cause mortality was assessed up to five years post-procedure. These timeframes were selected to balance clinical relevance with the ability to capture events likely related to the index procedure.
Table 1
ICD-10 and CPT Codes Used to Define Clinical Outcomes ICD-10, International Classification of Diseases-10; CPT, Current Procedural Terminology
| Outcomes | ICD-10 or CPT Codes | Description |
| Back Pain | M54.5 | Low back pain |
| M54.6 | Pain in thoracic spine | |
| Muscle Weakness | M62.81 | Muscle weakness |
| Difficulty Walking | R26.2 | Difficulty walking |
| Subsequent Fractures | S22.0 | Fracture of thoracic vertebra |
| S32.0 | Fracture of lumbar vertebra | |
| Spinal Cord Compression | G95.2 | Cord Compression |
| G95.29 | Other Cord Compression | |
| M48.04 | Spinal Stenosis, thoracic region | |
| M48.05 | Spinal Stenosis, thoracolumbar region | |
| M48.06 | Spinal stenosis, lumbar region | |
| Radiculopathy | M54.14 | Radiculopathy, thoracic region |
| M54.15 | Radiculopathy, thoracolumbar region | |
| M54.16 | Radiculopathy, lumbar region | |
| M54.17 | Radiculopathy, lumbosacral region | |
| Vertebroplasty | 22510 | Percutaneous vertebroplasty, 1 vertebral body; thoracic |
| 22511 | Percutaneous vertebroplasty, 1 vertebral body; lumbar | |
| 22512 | Percutaneous vertebroplasty, 1 vertebral body; each additional vertebral body | |
| Kyphoplasty | 22513 | Kyphoplasty, 1 vertebral body; thoracic |
| 22514 | Kyphoplasty, 1 vertebral body; lumbar | |
| 22515 | Kyphoplasty, 1 vertebral body; each additional vertebral body | |
| Laminectomy | 63046 | Laminectomy, facetectomy and foraminotomy, single vertebral segment; thoracic |
| 63047 | Laminectomy, facetectomy and foraminotomy, single vertebral segment; lumbar | |
| Opioid Prescriptions | RxNorm Code | |
| 10689 | Tramadol | |
| 7804 | Oxycodone | |
| 5489 | Hydrocodone | |
| 7052 | Morphine | |
| 3423 | Hydromorphone | |
| 1819 | Buprenorphine |
Demographics and description of study population
After matching, the mean age at the time of the procedure was 75 years for both groups. Females accounted for 71% of the vertebroplasty cohort and 72% of the kyphoplasty cohort, while males represented 27% of both. The average BMI was 26.8 in both cohorts. The most prevalent comorbidity in both groups was essential hypertension (66%), followed by low back pain (58%), fracture of the lumbar vertebra (51%), and osteoporosis, with or without current fracture, in approximately 72% of patients. Table 2 summarizes the full demographic and clinical characteristics of both cohorts, before and after matching.
Table 2
Demographic and Clinical Characteristics of Vertebroplasty and Kyphoplasty Cohorts Before and After Propensity Score Matching Values are presented as mean ± standard deviation (SD) or number (percentage). KP, Kyphoplasty; VP, Vertebroplasty; BM, Before Matching; AM, After Matching; SMD, Standardized Mean Difference; NSAIDs, Nonsteroidal Anti-inflammatory Drugs
| KP BM (n = 24,305) | VP BM (n = 7,544) | SMD BM | KP AM (n = 7,528) | VP AM (n = 7,528) | SMD AM | ||
| Age (Mean ± SD) | |||||||
| Age at Index | 74.8 ± 10.4 | 75.2 ± 10.8 | 0.030 | 75.4 ± 10.3 | 75.2 ± 10.8 | 0.019 | |
| Sex, n (%) | |||||||
| Male | 6,737 (28%) | 2,039 (27%) | 0.016 | 2,024 (27%) | 2,038 (27%) | 0.004 | |
| Female | 16,741 (69%) | 5,394 (72%) | 0.057 | 5,384 (72%) | 5,379 (71%) | 0.001 | |
| Race, n(%) | |||||||
| White | 20,467 (84%) | 6,471 (86%) | 0.044 | 6,420 (85%) | 6,465 (86%) | 0.017 | |
| Black or African-American | 674 (3%) | 276 (4%) | 0.050 | 280 (4%) | 271 (4%) | 0.006 | |
| Asian | 903 (4%) | 233 (3%) | 0.034 | 232 (3%) | 233 (3%) | 0.001 | |
| American Indian or Alaska Native | 71 (0%) | 20 (0%) | 0.005 | 18 (0%) | 20 (0%) | 0.001 | |
| Unknown | 2,190 (9%) | 544 (7%) | 0.054 | 578 (8%) | 539 (7%) | 0.012 | |
| Body Mass Index (kg/m²) | Mean ± SD | 26.9 ± 6.2 | 26.8 ± 6.3 | 0.009 | 26.7 ± 6.2 | 26.8 ± 6.3 | 0.002 |
| Diagnoses, n(%) | |||||||
| Diabetes Mellitus | 5,569 (23%) | 1,658 (22%) | 0.022 | 1,615 (21%) | 1,656 (22%) | 0.013 | |
| Essential (Primary) Hypertension | 14,881 (61%) | 4,983 (66%) | 0.100 | 4,971 (66%) | 4,967 (66%) | 0.001 | |
| Pain in Thoracic Spine | 4,685 (19%) | 1,421 (19%) | 0.011 | 1,414 (19%) | 1,421 (19%) | 0.002 | |
| Low Back Pain | 13,657 (56%) | 4,402 (58%) | 0.044 | 4,309 (57%) | 4,390 (58%) | 0.022 | |
| Fracture of Lumbar Vertebra | 13,488 (55%) | 3,831 (51%) | 0.095 | 3,826 (51%) | 3,831 (51%) | 0.001 | |
| Fracture of Thoracic Vertebra | 10,580 (44%) | 3,001 (40%) | 0.076 | 2,996 (40%) | 3,001 (40%) | 0.001 | |
| Osteoporosis Without Current Pathological Fracture | 8,528 (35%) | 2,874 (38%) | 0.062 | 2,923 (39%) | 2,865 (38%) | 0.016 | |
| Osteoporosis With Current Pathological Fracture | 8,426 (35%) | 2,556 (34%) | 0.017 | 2,525 (34%) | 2,554 (34%) | 0.008 | |
| Vitamin D Deficiency | 5,119 (21%) | 1,745 (23%) | 0.050 | 1,711 (23%) | 1,739 (23%) | 0.009 | |
| Malnutrition | 2,016 (8%) | 775 (10%) | 0.068 | 797 (11%) | 765 (10%) | 0.014 | |
| Hypercalcemia | 929 (4%) | 317 (4%) | 0.019 | 303 (4%) | 316 (4%) | 0.009 | |
| Hypocalcemia | 768 (3%) | 238 (3%) | 0.000 | 247 (3%) | 238 (3%) | 0.007 | |
| Chronic Kidney Disease | 4,482 (18%) | 1,491 (20%) | 0.033 | 1,452 (19%) | 1,486 (20%) | 0.011 | |
| Diagnostics, n(%) | |||||||
| Dual-energy X-ray absorptiometry (DXA), bone density scan of the spine | 5,974 (25%) | 1,873 (25%) | 0.006 | 1,839 (24%) | 1,868 (25%) | 0.009 | |
| Prescriptions, n(%) | |||||||
| Opioid Analgesics | 20,290 (83%) | 6,545 (87%) | 0.092 | 6,497 (86%) | 6,529 (87%) | 0.012 | |
| Non-opioid Analgesics | 19,706 (81%) | 6,378 (85%) | 0.092 | 6,288 (84%) | 6,362 (85%) | 0.027 | |
| NSAIDs | 5,490 (23%) | 1,896 (25%) | 0.069 | 1,836 (24%) | 1,892 (25%) | 0.017 |
Study subjects
We initially identified 33,697 patients who underwent vertebral augmentation, including 25,426 who received kyphoplasty and 8,271 who received vertebroplasty. A total of 24,305 patients who underwent kyphoplasty and 7,544 who underwent vertebroplasty were included after applying the inclusion and exclusion criteria (Figure 1 ). After propensity score matching, 7,528 patients remained in each cohort. The cohorts in this study were matched for several factors, including demographic variables, body mass index (BMI), comorbidities, bone density disorders, spinal diagnoses, vitamin D status, nutritional and electrolyte abnormalities, and use of diagnostic modalities, such as dual-energy X-ray absorptiometry (DXA). A full list of matching variables is available in Table 3 , and characteristics before and after matching are summarized in Table 2 . These two well-balanced, propensity score-matched cohorts comprised the analytic sample for all outcome analyses.
Table 3
ICD-10 and CPT Codes Used for Cohort Matching ICD-10, International Classification of Diseases-10; CPT, Current Procedural Terminology
| ICD-10 Code | Description |
| I10 | Essential (primary) hypertension |
| M54.5 | Low back pain |
| S32.0 | Fracture of lumbar vertebra |
| S22.0 | Fracture of thoracic vertebra |
| M81 | Osteoporosis without current pathological fracture |
| M80 | Osteoporosis with current pathological fracture |
| E55 | Vitamin D deficiency |
| E08-E13 | Diabetes mellitus |
| N18 | Chronic kidney disease (CKD) |
| M54.6 | Pain in thoracic spine |
| E40-E46 | Malnutrition |
| E83.52 | Hypercalcemia |
| E83.51 | Hypocalcemia |
| CPT Code | |
| 1014948 | Dual-energy X-ray absorptiometry (DXA), bone density study |

Statistical analysis and study size
Propensity score matching (1:1, greedy nearest-neighbor algorithm, caliper width 0.1 SD) was performed to balance baseline demographics, comorbidities, and bone health indicators between cohorts. After matching, 7,528 patients were included in each group. Covariate balance was confirmed using standardized mean differences (<0.1, considered acceptable).
Categorical variables were compared using Chi-square tests, and continuous variables with Mann-Whitney U tests. Time-to-event outcomes were analyzed with Kaplan-Meier methods and Cox proportional hazards regression, with hazard ratios (HRs) and 95% confidence intervals (CIs) reported. All statistical tests were two-tailed, with p < 0.05 considered significant. Analyses were conducted within the TriNetX platform, which uses validated and reproducible statistical pipelines.
Results
Subsequent thoracic or lumbar fractures (one year)
Patients who underwent kyphoplasty experienced a higher risk of subsequent thoracic or lumbar fractures within one year compared with vertebroplasty (4,196 (55.7%) vs 3,905 (51.9%); HR 0.89, 95% CI 0.85-0.93; p < 0.001) (Table 4 ). Interestingly, most patients with subsequent fractures were diagnosed within the two months postprocedure (Figure 2 ). Specifically, 3,779 (50.2%) of the kyphoplasty cohort and 3,470 (46.1%) of the vertebroplasty cohort were diagnosed with fractures during this period.
Table 4
Adverse Outcomes Within One Year Post-augmentation
| Vertebroplasty, n (% Risk) | Kyphoplasty, n (% Risk) | Hazard Ratio, n (95% CI) | |
| Back Pain | 3,027 (40.2%) | 2,985 (39.7%) | 1 (0.9, 1.1) |
| Fracture of Thoracic or Lumbar Vertebra | 3,905 (51.9%) | 4,196 (55.7%) | 0.89 (0.85, 0.93) |

Short-term neurologic or functional complications (one month)
Vertebroplasty was associated with more short-term neurologic complications within one month (Table 5 ). The risk of spinal cord compression was higher (824 (10.9%) vs 698 (9.3%); HR 1.19, 95% CI 1.08-1.31; p < 0.001), as was radiculopathy (537 (7.1%) vs 452 (6.0%); HR 1.19, 95% CI 1.06-1.33; p = 0.004) and difficulty walking (164 (2.2%) vs 104 (1.4%); HR 2.15, 95% CI 1.65-2.79; p < 0.001). Rates of muscle weakness did not differ between groups. In a subset of patients with spinal cord compression, the severity may have necessitated surgical intervention, as evidenced by laminectomy being performed in 151 (2.0%) of vertebroplasty patients and 135 (1.8%) of kyphoplasty patients.
Table 5
Short-Term (One Month) Neurologic and Functional Outcomes Following Vertebral Augmentation
| Vertebroplasty, n (% Risk) | Kyphoplasty, n (% Risk) | Hazard Ratio, n (95% CI) | |
| Radiculopathy | 537 (7.1%) | 452 (6.0%) | 1.19 (1.06, 1.33) |
| Muscle Weakness | 107 (1.4%) | 113 (1.5%) | 1 (0.75, 1.25) |
| Difficulty Walking | 164 (2.2%) | 104 (1.4%) | 2.15 (1.65, 2.79) |
| Spinal Cord Compression | 824 (10.9%) | 698 (9.3%) | 1.19 (1.08, 1.31) |
Repeat vertebral augmentation (two years)
The two-year risk of repeat vertebral augmentation was similar between vertebroplasty and kyphoplasty (1,111 (14.8%) vs 1,069 (14.2%); HR 1.00, 95% CI 0.90-1.10; p = 0.90) (Table 6 ). When repeat procedures occurred, most patients underwent the same procedure as their index surgery. Most repeat procedures occurred within the first three months of the initial procedure (Figure 3 ), during which approximately 750 (10%) of patients in both cohorts underwent a second vertebral augmentation.
Table 6
Risk of Subsequent Vertebral Augmentation Procedures Within Two Years
| Vertebroplasty, n (% Risk) | Kyphoplasty, n (% Risk) | Hazard Ratio, n (95% CI) | |
| Subsequent Vertebroplasty | 823 (10.9%) | 273 (3.6%) | 3.04 (2.66, 3.48) |
| Subsequent Kyphoplasty | 439 (5.8%) | 907 (12.0%) | 0.45 (0.4, 0.5) |
| Subsequent Vertebroplasty or Kyphoplasty | 1,111 (14.8%) | 1,069 (14.2%) | 1 (0.9, 1.1) |

All-cause mortality (five years)
All-cause mortality at five years did not differ between groups (HR 1.04, 95% CI 0.99-1.10, p = 0.13), indicating comparable long-term survival (Figure 4 ).

Other relevant findings
Opioid use patterns differed between groups (Figure 5 ). Patients treated with vertebroplasty were more likely to receive opioid prescriptions within one year (4,667 (62.0%) vs 4,404 (58.5%); HR 1.10, 95% CI 1.05-1.14, p < 0.001), had earlier initiation (median 48 vs 78 days, p < 0.001), and filled more prescriptions overall (mean 8.4 ± 14.9 vs 7.3 ± 13.8, p < 0.001).

Discussion
Background and rationale
Osteoporotic VCFs are common, debilitating injuries in older adults, and are frequently treated with vertebroplasty or balloon kyphoplasty. Prior studies comparing these procedures have been limited by small sample sizes, heterogeneous designs, and short follow-up. To address these limitations, we conducted a large, retrospective, propensity score-matched cohort study using a national EHR database to compare long-term outcomes of vertebroplasty and kyphoplasty. We found that kyphoplasty was associated with a higher risk of subsequent vertebral fractures, while vertebroplasty was associated with more short-term neurologic complications, and greater postoperative opioid use. Repeat augmentation and long-term all-cause mortality were similar between the procedures.
Limitations
This study had a number of limitations. First, due to the database format, causal relationships between procedures and outcomes cannot be definitively established; however, we attempted to mitigate this issue through carefully selected timeframe criteria, designed to enhance the specificity of the outcomes. Second, there is potential for misclassification due to reliance on coded diagnoses and procedures, as well as the absence of detailed imaging data and clinical variables, such as fracture morphology, vertebral height restoration, and cement volumes. These missing details potentially influence clinical outcomes and procedural success, but are unavailable in our dataset. Third, we were unable to quantify pain intensity or functional disability, evaluate patient-reported outcomes, or specifically identify whether fractures occurred at adjacent levels. These factors limit the completeness of our clinical outcome assessment. Despite these limitations, our study focused on comparing two procedures with well-matched, real-world patient cohorts, which allows meaningful insights into the relative differences between vertebroplasty and kyphoplasty.
Subsequent thoracic or lumbar fractures
The incidence of subsequent thoracic or lumbar vertebral fractures within one year was significantly higher following kyphoplasty (4,196, or 55.7%) compared to vertebroplasty (3,905, or 51.9%). While recurrent fractures are an expected outcome given the natural progression of osteoporosis [ 7 , 10 - 14 ], the observed modest increase in fracture rates following kyphoplasty may reflect biomechanical alterations resulting from its superior ability to restore vertebral height compared to vertebroplasty [ 3 , 6 , 15 ]. Specifically, the balloon inflation used in kyphoplasty aims to restore vertebral height, potentially increasing stiffness at the treated vertebra and altering mechanical stresses at adjacent vertebrae [ 16 ]. Prior studies have suggested that vertebral height restoration might predispose adjacent vertebrae to increased loading, thus increasing the risk of subsequent fractures [ 2 , 16 ]. Additionally, the observed higher fracture rates post-kyphoplasty may be partially attributable to patients experiencing more rapid symptomatic improvement, allowing earlier participation in physical activities that were previously limited by pain. This abrupt increase in mechanical loads may contribute to new fractures in untreated vertebrae [ 17 ]. Patients may also be more prone to falls as they regain mobility, potentially leading to additional vertebral or non-vertebral fractures [ 14 ]. However, a recent network meta-analysis found no difference in the risk of adjacent-level fractures between kyphoplasty, vertebroplasty, and natural progression without intervention, suggesting that procedural impact on adjacent fracture risk remains controversial [ 11 ].
Short-term neurologic or functional complications
Rates of spinal cord compression and subsequent decompressive surgeries within one month were slightly higher in the vertebroplasty cohort than in the kyphoplasty cohort. Although the absolute difference is small, it is consistent with existing literature reporting higher incidences of cement extravasation associated with vertebroplasty procedures, due to higher injection pressures [ 8 , 18 , 19 ]. These findings suggest a slightly increased procedural risk of cement extravasation associated with vertebroplasty, although clinically significant events remain rare.
Repeat vertebral augmentation
Interestingly, we observed comparable rates of repeat vertebral augmentation between groups within two years post-procedure. Patients generally underwent the same type of augmentation for subsequent fractures as their initial procedure, potentially reflecting institutional or provider preference. These findings suggest that the long-term durability of vertebroplasty and kyphoplasty is similar and that the need for additional procedures is not influenced by the choice of initial augmentation.
All-cause mortality
Mortality over a five-year follow-up period was also similar across both cohorts, contrasting with prior observational studies that reported a modest survival benefit associated with kyphoplasty [ 9 , 20 ]. Ultimately, a randomized prospective study directly comparing long-term mortality outcomes between these procedures is needed to clarify this relationship.
Other relevant findings
Opioid prescription patterns within one year following augmentation were different between procedures. Vertebroplasty patients were prescribed opioids sooner postoperatively and had a higher mean number of opioid prescriptions compared with kyphoplasty patients. These differences may indicate variations in early postoperative pain management needs or procedure-specific recovery. Previous randomized trials and meta-analyses comparing these procedures have generally reported no substantial differences in long-term pain relief or functional outcomes [ 2 , 8 ].
Conclusions
In conclusion, this comparative study demonstrates subtle but clinically relevant differences between vertebroplasty and kyphoplasty in patients with osteoporotic VCFs. Specifically, kyphoplasty was associated with more subsequent thoracic or lumbar fractures at one year, whereas vertebroplasty had higher one-month rates of neurologic or functional complications. Repeat augmentation within two years and five-year all-cause mortality were similar. These findings support shared decision-making that weighs short-term procedural risks against the likelihood of subsequent fractures, while considering patient preferences, bone health optimization, and operator expertise.
Disclosures
Human subjects: Informed consent for treatment and open access publication was obtained or waived by all participants in this study.
Animal subjects: All authors have confirmed that this study did not involve animal subjects or tissue.
Conflicts of interest: In compliance with the ICMJE uniform disclosure form, all authors declare the following:
Payment/services info: All authors have declared that no financial support was received from any organization for the submitted work.
Financial relationships: All authors have declared that they have no financial relationships at present or within the previous three years with any organizations that might have an interest in the submitted work.
Other relationships: All authors have declared that there are no other relationships or activities that could appear to have influenced the submitted work.
Author Contributions
Concept and design: Nicholas G. Belt, R. Justin Mistovich, Jonathan Belding
Acquisition, analysis, or interpretation of data: Nicholas G. Belt, Austin Lee, R. Justin Mistovich, Parshva Sanghvi, Jonathan Belding
Drafting of the manuscript: Nicholas G. Belt, Austin Lee, R. Justin Mistovich, Parshva Sanghvi, Jonathan Belding
Critical review of the manuscript for important intellectual content: Nicholas G. Belt, Austin Lee, R. Justin Mistovich, Parshva Sanghvi, Jonathan Belding
Supervision: R. Justin Mistovich, Jonathan Belding
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