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1.
Sci Rep ; 11(1): 13265, 2021 06 24.
Article in English | MEDLINE | ID: mdl-34168203

ABSTRACT

Increasing the efficiency of current forage breeding programs through adoption of new technologies, such as genomic selection (GS) and phenomics (Ph), is challenging without proof of concept demonstrating cost effective genetic gain (∆G). This paper uses decision support software DeltaGen (tactical tool) and QU-GENE (strategic tool), to model and assess relative efficiency of five breeding methods. The effect on ∆G and cost ($) of integrating GS and Ph into an among half-sib (HS) family phenotypic selection breeding strategy was investigated. Deterministic and stochastic modelling were conducted using mock data sets of 200 and 1000 perennial ryegrass HS families using year-by-season-by-location dry matter (DM) yield data and in silico generated data, respectively. Results demonstrated short (deterministic)- and long-term (stochastic) impacts of breeding strategy and integration of key technologies, GS and Ph, on ∆G. These technologies offer substantial improvements in the rate of ∆G, and in some cases improved cost-efficiency. Applying 1% within HS family GS, predicted a 6.35 and 8.10% ∆G per cycle for DM yield from the 200 HS and 1000 HS, respectively. The application of GS in both among and within HS selection provided a significant boost to total annual ∆G, even at low GS accuracy rA of 0.12. Despite some reduction in ∆G, using Ph to assess seasonal DM yield clearly demonstrated its impact by reducing cost per percentage ∆G relative to standard DM cuts. Open-source software tools, DeltaGen and QuLinePlus/QU-GENE, offer ways to model the impact of breeding methodology and technology integration under a range of breeding scenarios.


Subject(s)
Lolium/genetics , Genetic Association Studies , Lolium/growth & development , Models, Statistical , Plant Breeding/methods , Quantitative Trait, Heritable , Selection, Genetic/genetics , Stochastic Processes
2.
PLoS One ; 15(8): e0236877, 2020.
Article in English | MEDLINE | ID: mdl-32760136

ABSTRACT

OBJECTIVE: To identify current maternal and infant predictors of infant mortality, including maternal sociodemographic and economic status, maternal perinatal smoking and obesity, mode of delivery, and infant birthweight and gestational age. METHODS: This retrospective study analyzed data from the linked birth and infant death files (birth cohort) and live births from the Birth Statistical Master files (BSMF) in California compiled by the California Department of Public Health for 2007-2015. The birth cohort study comprised 4,503,197 singleton births including 19,301 infant deaths during the nine-year study period. A subpopulation to study fetal growth consisted of 4,448,300 birth cohort records including 13,891 infant deaths. RESULTS: The infant mortality rate (IMR) for singleton births decreased linearly (p <0.001) from 4.68 in 2007 to 3.90 (per 1,000 live births) in 2015. However, significant disparities in IMR were uncovered in different population groups depending upon maternal sociodemographic and economic characteristics and maternal characteristics during pregnancy. Children of African American women had almost twice the risk of infant mortality when compared with children of White women (AOR 2.12; 95% CI, 1.98-2.27; p<0.001). Infants of women with Bachelor's degrees or higher were 89% less likely to die (AOR 1.89; 95% CI, 1.76-2.04; p<0.001) when compared to infants of women with education less than high school. Infants of maternal smokers were 75% more likely to die (AOR 1.75; 95% CI, 1.58-1.93; p<0.001) than infants of nonsmokers. Infants of women who were overweight and obese during pregnancy accounted for 55% of IMR over all women in the study. More than half of the infant deaths were to children of women with lower socioeconomic status; infants of WIC participants were 59% more likely to die (AOR 1.59; 95% CI, 1.52-1.67; p<0.001) than infants of non-WIC participants. With respect to infant predictors, infants born with LBW or PTB were more than six times (AOR 6.29; 95% CI, 5.90-6.70; p<0.001) and almost four times (AOR 3.95; 95% CI, 3.73-4.19; p<0.001) more likely to die than infants who had normal births, respectively. SGA and LGA infants were more than two times (AOR 2.03; 95% CI, 1.92-2.15; p<0.001) and 41% (AOR 1.41; 95% CI, 1.32-1.52; p<0.001) more likely to die than AGA infants, respectively. CONCLUSIONS: While the overall IMR in California is declining, wide disparities in death rates persist in different groups, and these disparities are increasing. Our data indicate that maternal sociodemographic and economic factors, as well as maternal prepregnancy obesity and smoking during pregnancy, have a prominent effect on IMR though no causality can be inferred with the current data. These predictors are not typically addressed by direct medical care. Infant factors with a major effect on IMR are birthweight and gestational age-predictors that are addressed by active medical services. The highest value interventions to reduce IMR may be social and public health initiatives that mitigate disparities in sociodemographic, economic and behavioral risks for mothers.


Subject(s)
Infant Mortality , Mothers , Adult , Analysis of Variance , California/epidemiology , Cohort Studies , Educational Status , Ethnicity/statistics & numerical data , Female , Humans , Infant , Male , Middle Aged , Obesity/epidemiology , Public Health/statistics & numerical data , Racial Groups/statistics & numerical data , Retrospective Studies , Smoking/epidemiology , Socioeconomic Factors , Young Adult
3.
Am J Perinatol ; 37(13): 1364-1376, 2020 11.
Article in English | MEDLINE | ID: mdl-31365931

ABSTRACT

OBJECTIVE: This study aimed to determine associations between maternal cigarette smoking and adverse birth and maternal outcomes. STUDY DESIGN: This is a 10-year population-based retrospective cohort study including 4,971,896 resident births in California. Pregnancy outcomes of maternal smokers were compared with those of nonsmokers. The outcomes of women who stopped smoking before or during various stages of pregnancy were also investigated. RESULTS: Infants of women who smoked during pregnancy were twice as likely to have low birth weight (LBW) and be small for gestational age (SGA), 57% more likely to have very LBW (VLBW) or be a preterm birth (PTB), and 59% more likely to have a very PTB compared with infants of nonsmokers. During the study period, a significant widening of gaps developed in both rates of LBW and PTB and the percentage of SGA between infants of maternal smokers and nonsmokers. CONCLUSION: Smoking during pregnancy is associated with a significantly increased risk of adverse birth and maternal outcomes, and differences in rates of LBW, PTB, and SGA between infants of maternal smokers and nonsmokers increased during this period. Stopping smoking before pregnancy or even during the first trimester significantly decreased the infant risks of LBW, PTB, SGA, and the maternal risk for cesarean delivery.


Subject(s)
Cesarean Section/statistics & numerical data , Fetal Growth Retardation/epidemiology , Infant, Very Low Birth Weight , Mothers/statistics & numerical data , Premature Birth/epidemiology , Smoking/epidemiology , Adolescent , Adult , Birth Weight/physiology , California/epidemiology , Female , Humans , Infant, Newborn , Infant, Small for Gestational Age , Logistic Models , Maternal Exposure/adverse effects , Maternal Exposure/statistics & numerical data , Middle Aged , Pregnancy , Pregnancy Trimester, First , Retrospective Studies , Smoking/adverse effects , Smoking Cessation , Time Factors , Young Adult
4.
PLoS One ; 14(9): e0222458, 2019.
Article in English | MEDLINE | ID: mdl-31536528

ABSTRACT

OBJECTIVE: To determine recent trends in maternal prepregnancy body mass index (BMI) and to quantify its association with birth and maternal outcomes. METHODS: A population-based retrospective cohort study included resident women with singleton births in the California Birth Statistical Master Files (BSMF) database from 2007 to 2016. There were 4,621,082 women included out of 5,054,968 women registered in the database. 433,886 (8.6%) women were excluded due to invalid or missing information for BMI. Exposures were underweight (BMI < 18.5 kg/m2), normal weight (18.5-24.9 kg/m2), overweight (25.0-29.9 kg/m2), and obese (≥ 30 kg/m2) at the onset of pregnancy. Obesity was subcategorized into class I (30.0-34.9 kg/m2), class II (35.0-39.9 kg/m2), and class III (≥ 40 kg/m2), while adverse outcomes examined were low birth weight (LBW), very low birth weight (VLBW), macrosomic births, preterm birth (PTB), very preterm birth (VPTB), small-for-gestational-age birth (SGA), large-for-gestational-age birth (LGA), and cesarean delivery (CD). Descriptive analysis, simple linear regression, and multivariate logistic regression were performed, and adjusted odds ratios (AORs) with 95% confidence intervals (CIs) for associations were estimated. RESULTS: Over the ten-year study period, the prevalence of underweight and normal weight women at time of birth declined by 10.6% and 9.7%, respectively, while the prevalence of overweight and obese increased by 4.3% and 22.9%, respectively. VLBW increased significantly with increasing BMI, by 24% in overweight women and by 76% in women with class III obesity from 2007 to 2016. Women with class III obesity also had a significant increase in macrosomic birth (170%) and were more likely to deliver PTB (33%), VPTB (66%), LGA (231%), and CD (208%) than women with a normal BMI. However, obese women were less likely to have SGA infants; underweight women were 51% more likely to have SGA infants than women with a normal BMI. CONCLUSIONS: In California from 2007 to 2016, there was a declining trend in women with prepregnancy normal weight, and a rising trend in overweight and obese women, particularly obesity class III. Both extremes of prepregnancy BMI were associated with an increased incidence of adverse neonatal outcomes; however, the worse outcomes were prominent in those women classified as obese.


Subject(s)
Body Mass Index , Pregnancy Outcome/epidemiology , Adult , California/epidemiology , Female , Humans , Obesity, Maternal/epidemiology , Overweight/epidemiology , Pregnancy , Prevalence , Retrospective Studies
5.
Heredity (Edinb) ; 122(5): 684-695, 2019 05.
Article in English | MEDLINE | ID: mdl-30368530

ABSTRACT

Plant breeders are supported by a range of tools that assist them to make decisions about the conduct or design of plant breeding programs. Simulations are a strategic tool that enables the breeder to integrate the multiple components of a breeding program into a number of proposed scenarios that are compared by a range of statistics measuring the efficiency of the proposed systems. A simulation study for the trait growth score compared two major strategies for breeding forage species, among half-sib family selection and among and within half-sib family selection. These scenarios highlighted new features of the QuLine program, now called QuLinePlus, incorporated to enable the software platform to be used to simulate breeding programs for cross-pollinated species. Each strategy was compared across three levels of half-sib family mean heritability (0.1, 0.5, and 0.9), across three sizes of the initial parental population (10, 50, and 100), and across three genetic effects models (fully additive model, a mixture of additive, partial and over dominance model, and a mixture of partial dominance and over dominance model). Among and within half-sib selection performed better than among half-sib selection for all scenarios. The new tools introduced into QuLinePlus should serve to accurately compare among methods and provide direction on how to achieve specific goals in the improvement of plant breeding programs for cross breeding species.


Subject(s)
Models, Genetic , Plant Breeding , Software , Computer Simulation , Crosses, Genetic , Genetics, Population , Genome, Plant/genetics , Phenotype , Pollination , Quantitative Trait Loci/genetics , Selection, Genetic
6.
Article in English | MEDLINE | ID: mdl-30564431

ABSTRACT

BACKGROUND: Preterm birth (PTB) is associated with increased infant mortality, and neurodevelopmental abnormalities among survivors. The aim of this study is to investigate temporal trends, patterns, and predictors of PTB in California from 2007 to 2016, based on the obstetric estimate of gestational age (OA). METHODS: A retrospective cohort study evaluated 435,280 PTBs from the 5,137,376 resident live births (8.5%) documented in the California Birth Statistical Master Files (BSMF) from 2007 to 2016. The outcome variable was PTB; the explanatory variables were birth year, maternal characteristics and health behaviors. Descriptive statistics and logistic regression analysis were used to identify subgroups with significant risk factors associated with PTB. Small for gestational age (SGA), appropriate for gestational age (AGA) and large for gestational age (LGA) infants were identified employing gestational age based on obstetric estimates and further classified by term and preterm births, resulting in six categories of intrauterine growth. RESULTS: The prevalence of PTB in California decreased from 9.0% in 2007 to 8.2% in 2014, but increased during the last 2 years, 8.4% in 2015 and 8.5% in 2016. Maternal age, education level, race and ethnicity, smoking during pregnancy, and parity were significant risk factors associated with PTB. The adjusted odds ratio (AOR) showed that women in the oldest age group (40-54 years) were almost twice as likely to experience PTB as women in the 20- to 24-year reference age group. The prevalence of PTB was 64% higher in African American women than in Caucasian women. Hispanic women showed less disparity in the prevalence of PTB based on education and socioeconomic level. The analysis of interactions between maternal characteristics and perinatal health behaviors showed that Asian women have the highest prevalence of PTB in the youngest age group (< 20 years; AOR, 1.40; 95% confidence interval (CI), 1.28-1.54). Pacific Islander, American Indian, and African American women ≥40 years of age had a greater than two-fold increase in the prevalence of PTB compared with women in the 20-24 year age group. Compared to women in the Northern and Sierra regions, women in the San Joaquin Valley were 18%, and women in the Inland Empire and San Diego regions 13% more likely to have a PTB. Women who smoked during both the first and second trimesters were 57% more likely to have a PTB than women who did not smoke. Compared to women of normal prepregnancy weight, underweight women and women in obese class III were 23 and 33% more likely to experience PTB respectively. CONCLUSIONS: Implementation of public health initiatives focusing on reducing the prevalence of PTB should focus on women of advanced maternal age and address race, ethnic, and geographic disparities. The significance of modifiable maternal perinatal health behaviors that contribute to PTB, e.g. smoking during pregnancy and prepregnancy obesity, need to be emphasized during prenatal care.

7.
Article in English | MEDLINE | ID: mdl-30094052

ABSTRACT

BACKGROUND: Low birth weight (LBW) is a leading risk factor for infant morbidity and mortality in the United States. There are large disparities in the prevalence of LBW by race and ethnicity, especially between African American and White women. Despite extensive research, the practice of clinical and public health, and policies devoted to reducing the number of LBW infants, the prevalence of LBW has remained unacceptably and consistently high. There have been few detailed studies identifying the factors associated with LBW in California, which is home to a highly diverse population. The aim of this study is to investigate recent trends in the prevalence of LBW infants (measured as a percentage) and to identify risk factors and disparities associated with LBW in California. METHODS: A retrospective cohort study included data on 5,267,519 births recorded in the California Birth Statistical Master Files for the period 2005-2014. These data included maternal characteristics, health behaviors, information on health insurance, prenatal care use, and parity. Logistic regression models identified significant risk factors associated with LBW. Using gestational age based on obstetric estimates (OA), small for gestational age (SGA), appropriate for gestational age (AGA) and large for gestational age (LGA) infants were identified for the periods 2007-2014. RESULTS: The number of LBW infants declined, from 37,603 in 2005 to 33,447 in 2014. However, the prevalence of LBW did not change significantly (6.9% in 2005 to 6.7% in 2014). The mean maternal age at first delivery increased from 25.7 years in 2005 to 27.2 years in 2014. The adjusted odds ratio showed that women aged 40 to 54 years were twice as likely to have an LBW infant as women in the 20 to 24 age group. African American women had a persistent 2.4-fold greater prevalence of having an LBW infant compared with white women. Maternal age was a significant risk factor for LBW regardless of maternal race and ethnicity or education level. During the period 2017-2014, 5.4% of the singleton births at 23-41 weeks based on OE of gestational age were SGA infants (preterm SGA + term SGA). While all the preterm SGA infants were LBW, both preterm AGA and term SGA infants had a higher prevalence of LBW. CONCLUSIONS: In California, during the 10 years from 2005 to 2014, there was no significant decline in the prevalence of LBW. However, maternal age was a significant risk factor for LBW regardless of maternal race and ethnicity or education level. Therefore, there may be opportunities to reduce the prevalence of LBW by reducing disparities and improving birth outcomes for women of advanced maternal age.

8.
PLoS One ; 10(12): e0144370, 2015.
Article in English | MEDLINE | ID: mdl-26689369

ABSTRACT

It is a common occurrence in plant breeding programs to observe missing values in three-way three-mode multi-environment trial (MET) data. We proposed modifications of models for estimating missing observations for these data arrays, and developed a novel approach in terms of hierarchical clustering. Multiple imputation (MI) was used in four ways, multiple agglomerative hierarchical clustering, normal distribution model, normal regression model, and predictive mean match. The later three models used both Bayesian analysis and non-Bayesian analysis, while the first approach used a clustering procedure with randomly selected attributes and assigned real values from the nearest neighbour to the one with missing observations. Different proportions of data entries in six complete datasets were randomly selected to be missing and the MI methods were compared based on the efficiency and accuracy of estimating those values. The results indicated that the models using Bayesian analysis had slightly higher accuracy of estimation performance than those using non-Bayesian analysis but they were more time-consuming. However, the novel approach of multiple agglomerative hierarchical clustering demonstrated the overall best performances.


Subject(s)
Models, Genetic , Plant Breeding , Plants/genetics
9.
G3 (Bethesda) ; 5(10): 2155-64, 2015 Aug 18.
Article in English | MEDLINE | ID: mdl-26290571

ABSTRACT

A genomic selection index (GSI) is a linear combination of genomic estimated breeding values that uses genomic markers to predict the net genetic merit and select parents from a nonphenotyped testing population. Some authors have proposed a GSI; however, they have not used simulated or real data to validate the GSI theory and have not explained how to estimate the GSI selection response and the GSI expected genetic gain per selection cycle for the unobserved traits after the first selection cycle to obtain information about the genetic gains in each subsequent selection cycle. In this paper, we develop the theory of a GSI and apply it to two simulated and four real data sets with four traits. Also, we numerically compare its efficiency with that of the phenotypic selection index (PSI) by using the ratio of the GSI response over the PSI response, and the PSI and GSI expected genetic gain per selection cycle for observed and unobserved traits, respectively. In addition, we used the Technow inequality to compare GSI vs. PSI efficiency. Results from the simulated data were confirmed by the real data, indicating that GSI was more efficient than PSI per unit of time.


Subject(s)
Computer Simulation , Models, Genetic , Selection, Genetic , Algorithms , Datasets as Topic
10.
Biometrics ; 69(2): 300, 2013 Jun.
Article in English | MEDLINE | ID: mdl-23796104

ABSTRACT

In my Presidential Address at the 2010 International Biometric Conference in Florianopolis, I outlined the revised governance structure for the International Biometric Society (IBS). That structure was subsequently modified, with the final version being approved by the society membership in June 2012. The membership also approved the merger of the constitution with the bylaws, effectively dissolving the constitution (as it was no longer consistent with practice). From January 1, 2013, responsibility for the governance and leadership of the IBS rests with a 15-member Executive Board which will be supported by a larger Representative Council whose members are selected by and from each of the society's regions. The Representative Council is responsible for overseeing the determination of the Executive Board, providing advice on strategic and policy issues, and contributing to the operation of the IBS. This Council will be an effective conduit between the regions and the Executive Board, aided by the Chair attending all Board meetings.


Subject(s)
Biometry , Societies, Scientific/organization & administration
11.
Brief Bioinform ; 14(4): 402-10, 2013 Jul.
Article in English | MEDLINE | ID: mdl-22988257

ABSTRACT

We consider the classification of microarray gene-expression data. First, attention is given to the supervised case, where the tissue samples are classified with respect to a number of predefined classes and the intent is to assign a new unclassified tissue to one of these classes. The problems of forming a classifier and estimating its error rate are addressed in the context of there being a relatively small number of observations (tissue samples) compared to the number of variables (that is, the genes, which can number in the tens of thousands). We then proceed to the unsupervised case and consider the clustering of the tissue samples and also the clustering of the gene profiles. Both problems can be viewed as being non-standard ones in statistics and we address some of the key issues involved. The focus is on the use of mixture models to effect the clustering for both problems.


Subject(s)
Gene Expression , Genomics/methods , Oligonucleotide Array Sequence Analysis/methods , Child , Cluster Analysis , Databases, Genetic , Humans , Organ Specificity , Precursor Cell Lymphoblastic Leukemia-Lymphoma/metabolism , Transcriptome
12.
Biometrics ; 67(4): 1185-8, 2011 Dec.
Article in English | MEDLINE | ID: mdl-22050135

ABSTRACT

After more than 60 years, the Legislative Council overwhelming approved a revised governance structure for the International Biometric Society (IBS) to take effect from 1 January 2012. Responsibility for the governance and leadership of the society will be combined and placed in the hands of an Executive Board, supported by a much larger Representative Council. The Representative Council will be composed of members selected by the different regions (or geographical components) of the society. It will be responsible for overseeing the nomination and election (by the whole society) of the Executive Board and provide the conduit between the regions and this leadership team. Members of the Representative Council will also chair the Standing Committees. The transition process to the new governance structure is outlined, as are focus issues for the next decade.


Subject(s)
Biometry , Epidemiology/organization & administration , Leadership , Societies/organization & administration , Governing Board , Internationality
13.
Genome ; 53(11): 1017-23, 2010 Nov.
Article in English | MEDLINE | ID: mdl-21076517

ABSTRACT

Association mapping currently relies on the identification of genetic markers. Several technologies have been adopted for genetic marker analysis, with single nucleotide polymorphisms (SNPs) being the most popular where a reasonable quantity of genome sequence data are available. We describe several tools we have developed for the discovery, annotation, and visualization of molecular markers for association mapping. These include autoSNPdb for SNP discovery from assembled sequence data; TAGdb for the identification of gene specific paired read Illumina GAII data; CMap3D for the comparison of mapped genetic and physical markers; and BAC and Gene Annotator for the online annotation of genes and genomic sequences.


Subject(s)
Chromosome Mapping/methods , Crops, Agricultural/genetics , Genome, Plant , Genome-Wide Association Study/methods , Base Sequence , DNA, Plant/genetics , Expressed Sequence Tags , Genetic Markers/genetics , Polymorphism, Single Nucleotide , Sequence Analysis, DNA
14.
Philos Trans A Math Phys Eng Sci ; 368(1920): 2799-815, 2010 Jun 13.
Article in English | MEDLINE | ID: mdl-20439274

ABSTRACT

The ultimate aim of the EU-funded ImmunoGrid project is to develop a natural-scale model of the human immune system-that is, one that reflects both the diversity and the relative proportions of the molecules and cells that comprise it-together with the grid infrastructure necessary to apply this model to specific applications in the field of immunology. These objectives present the ImmunoGrid Consortium with formidable challenges in terms of complexity of the immune system, our partial understanding about how the immune system works, the lack of reliable data and the scale of computational resources required. In this paper, we explain the key challenges and the approaches adopted to overcome them. We also consider wider implications for the present ambitious plans to develop natural-scale, integrated models of the human body that can make contributions to personalized health care, such as the European Virtual Physiological Human initiative. Finally, we ask a key question: How long will it take us to resolve these challenges and when can we expect to have fully functional models that will deliver health-care benefits in the form of personalized care solutions and improved disease prevention?


Subject(s)
Immunity, Innate/immunology , Internet , Models, Immunological , Proteome/immunology , Software , Computer Simulation , Humans
15.
Brief Bioinform ; 10(3): 330-40, 2009 May.
Article in English | MEDLINE | ID: mdl-19383844

ABSTRACT

Vaccine research is a combinatorial science requiring computational analysis of vaccine components, formulations and optimization. We have developed a framework that combines computational tools for the study of immune function and vaccine development. This framework, named ImmunoGrid combines conceptual models of the immune system, models of antigen processing and presentation, system-level models of the immune system, Grid computing, and database technology to facilitate discovery, formulation and optimization of vaccines. ImmunoGrid modules share common conceptual models and ontologies. The ImmunoGrid portal offers access to educational simulators where previously defined cases can be displayed, and to research simulators that allow the development of new, or tuning of existing, computational models. The portal is accessible at .


Subject(s)
Computer Systems , Drug Design , Immune System/physiology , Models, Biological , Vaccines , Computational Biology/methods , Database Management Systems , Databases, Factual , Humans , Major Histocompatibility Complex , Systems Integration
16.
Aust Orthod J ; 19(2): 47-55, 2003 Nov.
Article in English | MEDLINE | ID: mdl-14703329

ABSTRACT

BACKGROUND: Previous studies of stability and relapse after orthodontic treatment report short-term stability is generally followed by slow relapse to the original condition. What these studies do not report is whether this relapse is continuous or interspersed with periods of improvement or stability. METHODS: A subjective 0-10 index of malocclusion was used to record post-treatment stability and relapse over 10 to 12 years following fixed appliance orthodontic treatment of 24 patients. The severity scores were plotted on timelines. RESULTS: Episodes of change, both favourable and unfavourable, were interspersed with episodes of stability. CONCLUSIONS: Changes in the first 3 and 12 months post-treatment are indicative of the 10 to 12 years post-treatment outcomes. This index may provide a useful instrument to analyze patients and/or their study models longitudinally.


Subject(s)
Malocclusion/therapy , Orthodontics, Corrective , Adolescent , Adult , Child , Confidence Intervals , Humans , Longitudinal Studies , Malocclusion/classification , Observer Variation , Orthodontic Appliances , Orthodontic Retainers , Orthodontics, Corrective/statistics & numerical data , Probability , Recurrence , Reproducibility of Results , Tooth Movement Techniques/instrumentation , Treatment Outcome
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