RESUMO
As methicillin-resistant Staphylococcus aureus (MRSA) colonization and infection in humans are a global challenge. In Mecklenburg and Western Pomerania (Germany) 1,517 patients who underwent surgical interventions were systematically screened for MRSA and MSSA colonization on the day of hospital admission and discharge. Demographic data, risk factors and colonization status of the (i) nose, (ii) throat, (iii) groin, and (iv) thorax or site of surgical intervention were determined. Of the 1,433 patients who were included for further evaluation, 331 (23.1%) were colonized with MSSA, while only 17 (1.2%) were MRSA carriers on the day of hospital admission. A combination of nose, throat and groin swabs returned a detection rate of 98.3% for MSSA/MRSA. Trauma patients had lower prevalence of MRSA/MSSA (OR 0.524, 95% CI: 0.37-0.75; p < 0.001) than patients with intended orthopedic interventions. Males showed significantly higher nasal S. aureus carrier rates than females (odds ratio (OR) = 1.478; 95% CI: 1.14-1.92; p = 0.003). Nasal S. aureus colonization was less frequent among male smokers as compared to non-smokers (chi2 = 16.801; phi = 0.154; p < 0.001). Age, gender and smoking had a significant influence on S. aureus colonization. Combining at least three different swabbing sites should be considered for standard screening procedure to determine S. aureus colonization at patients scheduled for cardiac or orthopedic interventions at tertiary care hospitals.
Assuntos
Procedimentos Cirúrgicos Cardíacos , Portador Sadio/epidemiologia , Infecção Hospitalar/epidemiologia , Staphylococcus aureus Resistente à Meticilina , Procedimentos Ortopédicos , Infecções Estafilocócicas/epidemiologia , Adolescente , Adulto , Idoso , Idoso de 80 Anos ou mais , Procedimentos Cirúrgicos Cardíacos/efeitos adversos , Procedimentos Cirúrgicos Cardíacos/estatística & dados numéricos , Portador Sadio/microbiologia , Infecção Hospitalar/microbiologia , Estudos Transversais , Feminino , Alemanha/epidemiologia , Virilha/microbiologia , Humanos , Masculino , Pessoa de Meia-Idade , Cavidade Nasal/microbiologia , Procedimentos Ortopédicos/efeitos adversos , Procedimentos Ortopédicos/estatística & dados numéricos , Faringe/microbiologia , Prevalência , Fatores de Risco , Infecções Estafilocócicas/microbiologia , Centros de Atenção Terciária , Adulto JovemRESUMO
BACKGROUND: Fractures of the bony chest wall are common injuries. They affect almost every second severely injured person and are gaining more and more importance even after low-energy accidents, especially among older people. Complications mainly occur due to respiratory insufficiency, secondary pulmonary complications and remaining deformities with a functional disorder of the chest wall. In addition to the important conservative therapeutic measures, such as a differentiated pain therapy and pneumonia prophylaxis, operative stabilization of fractures can be an option; however, this is still controversially discussed. OBJECTIVE: A thematically structured overview provides basic knowledge on rib and sternal fractures as well as the treatment options. MATERIAL AND METHODS: Epidemiological facts are presented based on the relevant literature and clinical experience. Anatomical principles are intended to improve understanding of the various entities of rib and sternal fractures. For this purpose, the new AO/OTA classification system is presented and finally therapeutic options including different osteosynthesis procedures are presented and their importance discussed. RESULTS AND DISCUSSION: Multimodal therapy concepts and closely controlled follow-up examinations of fractures avoid complications or can detect them early. Bony chest wall injuries should still be evaluated for complications and typical fracture patterns identified and classified. Modern osteosynthesis procedures with high patient safety and soft tissue-preserving tissue preparation for the surgical access route to the ribs and sternum provide an excellent opportunity for successful restoration of the anatomical and physiological integrity of the bony thorax.
Assuntos
Traumatismos Torácicos , Parede Torácica , Tórax Fundido , Fixação Interna de Fraturas , Humanos , Fraturas das Costelas , Traumatismos Torácicos/epidemiologia , Traumatismos Torácicos/patologia , Traumatismos Torácicos/cirurgia , Parede Torácica/lesões , Parede Torácica/cirurgiaRESUMO
Registries are a topic of lively debate amongst all stakeholders in healthcare, politics and economics. In general, registries are national or international (prospective) databases documenting the current state of diagnostic, therapeutic and long-term outcome variables of subjects with a distinct condition or health problem. The access to and handling of registry information is subject to strict legal, methodological and ethical principles and regulations before these data can be scientifically utilized and reentered into the routine daily practice. Because of the representativeness and reality of data, registries are widely regarded as the backbone of health systems and budgets.Currently there is only indirect evidence that registries influence outcomes and the quality of care. Recent statistical techniques may allow quasi-experimental modelling of observational information. In orthopedic and trauma surgery, current and upcoming registries should be wisely utilized to develop and evaluate innovations and to make informed decisions relevant to care.
Assuntos
Vigilância da População/métodos , Garantia da Qualidade dos Cuidados de Saúde/organização & administração , Qualidade da Assistência à Saúde/organização & administração , Sistema de Registros/estatística & dados numéricos , Ferimentos e Lesões/epidemiologia , Conjuntos de Dados como Assunto/estatística & dados numéricos , Medicina Baseada em Evidências/métodos , Alemanha/epidemiologia , Humanos , Disseminação de Informação/métodos , Ortopedia/estatística & dados numéricos , Prevalência , Sistema de Registros/classificação , Fatores de Risco , Traumatologia/estatística & dados numéricos , Ferimentos e Lesões/diagnóstico , Ferimentos e Lesões/terapiaRESUMO
Fractures of the distal radius in elderly patients increasingly contribute to the workload in emergency departments worldwide. There is still no consensus about the best treatment option, e. g. closed reduction and cast stabilization, percutaneous pinning, external fixation or open reduction and internal fixation with volar locking plates (ORIF). In addition, the influence of pharmacological antiosteoporotic treatment (e. g. bisphosphonates) is unclear. In this overview five comparative studies were analyzed, which had been identified in a previous systematic review. The evaluation included 3 cohort studies and 2 randomized trials enrolling a total of 515 patients. A clinical or statistical advantage of ORIF over conservative treatment with respect to DASH scores 12 months after the index fracture event could not be demonstrated with a mean difference of 0.25 (95 % confidence interval CI -0.57-1.07). According to current best scientific evidence from preclinical and clinical investigations, antiosteoporotic medication does not have an unfavorable influence on fracture healing and should be continued due to its proven effectiveness in reducing subsequent osteoporotic fractures. Following distal radius fractures in elderly patients with clinical risk factors, an osteoporosis screening should be routine practice and a specific therapy should be initiated if the fracture risk is increased.
Assuntos
Conservadores da Densidade Óssea/administração & dosagem , Fixação Interna de Fraturas/métodos , Imobilização/métodos , Fraturas por Osteoporose/prevenção & controle , Fraturas por Osteoporose/terapia , Traumatismos do Punho/terapia , Placas Ósseas , Moldes Cirúrgicos , Terapia Combinada/métodos , Medicina Baseada em Evidências , Fixação Interna de Fraturas/instrumentação , Humanos , Fraturas por Osteoporose/diagnóstico , Resultado do Tratamento , Traumatismos do Punho/diagnósticoRESUMO
The article "Evidence based medicine: what it is and what it isn't" published in the BMJ in 1996, is regarded as the foundation of the evidence-based medicine (EbM) movement. Approximately 5 years later David L. Sackett, one of the leaders of the movement, requested all experts to voluntarily abandon their position to make way for young researchers and fresh ideas. Since the term was first coined and the establishment of organizations and platforms fostering the idea, EbM has polarized clinicians and scientists around the world. Clinical and methodological developments during recent years have, however, overtaken the original principles of EbM. This review highlights the core concepts of EbM which have remained unchanged and valid for the current practice of trauma and orthopedic surgery and where revision is needed.
Assuntos
Ensaios Clínicos como Assunto , Medicina Baseada em Evidências/tendências , Ortopedia/tendências , Avaliação de Resultados em Cuidados de Saúde/tendências , Garantia da Qualidade dos Cuidados de Saúde/tendências , Traumatologia/tendências , Medicina Baseada em Evidências/métodos , Previsões , Alemanha , HumanosRESUMO
Intraoperative 3D imaging has a marked impact on the surgical treatment of articular fractures. In theory, insufficient reduction of fracture fragments and malpositioning of implants can be corrected in the same session so that unnecessary secondary imaging and revision surgery can be avoided. Current evidence on the accuracy of 3D scans, however, relies on heterogeneous preclinical data and must be interpreted with caution. Every fourth 3D scan seems to lead to a repositioning of fracture fragments or implants, despite unproven sensitivity and specificity. The interaction between diagnostic accuracy and therapeutic consequences needs exploration before any conclusions on the (additional) benefits of intraoperative 3D imaging can be drawn.
Assuntos
Fraturas Ósseas/diagnóstico por imagem , Fraturas Ósseas/cirurgia , Imageamento Tridimensional/métodos , Monitorização Intraoperatória/métodos , Cirurgia Assistida por Computador/métodos , Tomografia Computadorizada por Raios X/métodos , Medicina Baseada em Evidências , Humanos , Reprodutibilidade dos Testes , Sensibilidade e Especificidade , Resultado do TratamentoRESUMO
INTRODUCTION: Patellar dislocation is a common knee injury with mainly lateral dislocations, leading to ruptures of the medial patellofemoral ligament in most of the cases. Even though several prognostic factors for patellofemoral instability have been identified so far, the appropriate therapy for patients with patellar dislocation remains a controversial issue. The purpose of this study was to compare the outcome after conservative or operative treatment in patients after first-time patellar dislocation. PATIENTS AND METHODS: This randomized controlled clinical trial was designed multicentric including patients from six German orthopaedic and trauma departments. Twenty patients with a mean age of 24.6 years with first-time traumatic patella dislocation were included and randomized into either a conservative arm or an operative arm. Plain X-ray images of the knee joint (a.p. and lateral view and tangential view of both patellae) were performed in all cases prior to therapy to exclude osteochondral fragments requiring refixation. An MRI was recommended, but not compulsory. Patients were consulted after 6, 12, and 24 months with a questionnaire including the criteria of the Kujala score, recurrent dislocation, and satisfaction. RESULTS: The mean Kujala score of the conservative vs operative treatment group was 78.6 vs 80.3 after 6 months (p = 0.842), 79.9 vs 88.9 after 12 months (p = 0.165), and 81.3 vs 87.5 after 24 months (p = 0.339). Redislocation rate after 24 months was 37.5 % in the conservative group and 16.7 % in the operative group (p = 0.347). Due to the small number of patients that could be included, no significant difference between the groups could be detected. We see a tendency towards better results after operative treatment. CONCLUSION: Our multicentric prospective randomized controlled trial revealed no significant difference between conservative and operative treatment for patients after first-time traumatic patellar dislocation. However, a tendency towards a better Kujala score and lower redislocation rates for patients with operative treatment was observed. The small number of patients is a limiting factor of the study, leading to results without statistical significance. A meta-analysis including other study's level I data is desirable for the future.
Assuntos
Luxação Patelar/terapia , Adolescente , Adulto , Feminino , Humanos , Masculino , Luxação Patelar/cirurgia , Estudos Prospectivos , Resultado do Tratamento , Adulto JovemRESUMO
BACKGROUND: Technical parameters of road traffic crashes are routinely documented by emergency physicians on scene. It is, however, unclear whether this information contributes to the estimation of injury severity of vehicle drivers. MATERIALS AND METHODS: In this study, three experienced emergency physicians were asked to predict the injury severity of vehicle drivers [categorized according to Injury Severity Score (ISS) values of <16 and ≥16 as moderate to severe or life-threatening] based on increasingly complex technical crash information, ranging from routine variables to photo documentation of the crash scene. A sample of 100 cases (mean ISS 23.6±26.9) was obtained from the prospective database of an in-depth technical and medical car crash research project conducted in the northeastern part of Germany. Statistical analysis comprised inter-rater agreement beyond chance (kappa values) and indicators of diagnostic test accuracy (i.e. sensitivity, specificity and so on). RESULTS: The inter-rater agreement of injury severity based on technical crash information was moderate to substantial (kappa 0.42-0.66). Amongst the three observers and various amounts of technical data, sensitivity ranged between 18 and 80%, and specificity ranged between 41 and 89% in predicting the presence of major trauma. Presentation of photographs from the crash scene increased diagnostic accuracy. Still, the presented information led to a shift from a 50% prior probability of life-threatening injuries to a maximum of 40% in the negative and 67% in the positive case. CONCLUSION: Neither basic technical parameters that are easy to obtain after a car crash nor additional technical information markedly contribute to the emergency physician's estimation of a vehicle driver's injury severity. The presented results should be supported by a subsequent study including a larger sample.
Assuntos
Acidentes de Trânsito/estatística & dados numéricos , Serviços Médicos de Emergência/estatística & dados numéricos , Médicos/estatística & dados numéricos , Competência Profissional/estatística & dados numéricos , Índices de Gravidade do Trauma , Ferimentos e Lesões/diagnóstico , Ferimentos e Lesões/epidemiologia , Feminino , Alemanha/epidemiologia , Humanos , Masculino , Variações Dependentes do Observador , Prevalência , Reprodutibilidade dos Testes , Fatores de Risco , Sensibilidade e EspecificidadeRESUMO
All existing classifications, which are based on the severity of hand injuries, are being referred to facets of variety of hand injuries in general. A clear picture of all consequences of hand injuries would be apparent, if any kind of injury mechanism and occurrence of an injury would be identified and academically captured. Predictions regarding return to the former occupation and rehabilitation time would be possible with further study; 102 patients with different hand injuries were engaged in a pilot project using a specifically designed assessment sheet to achieve this purpose in the framework of a retrospective clinical testing within 1 year. Data were summarized and demonstrated graphically. Each category showed a picture of prior localization of the injury and its morphology. All categories show specific injury patterns. The choice of categories reflects the mechanisms of injury emphasized in literature. Furthermore, the mean DASH equivalents of one category were compared to the mean Hand Injury Severity Scoring (HISS) scores in order to get an initial idea of information on the degree of severity. A first impression of the potential of this assessment sheet has been obtained with regard to the above. With further study, we could evaluate the assessment sheet and try to create a classification of the grade of severity as well as prognostic values like return to the former occupation and rehabilitation time.
Assuntos
Traumatismos da Mão/classificação , Traumatismos da Mão/etiologia , Traumatismos da Mão/reabilitação , Humanos , Escala de Gravidade do Ferimento , Projetos Piloto , Prognóstico , Retorno ao TrabalhoRESUMO
This article reviews basic characteristics of road traffic crashes of heavy vehicles and the current health status of truck drivers. It summarises previous findings from research with a focus on orthopaedic diseases and injuries. These findings comprise a risky health behaviour and high prevalence of associated diseases which can be attributed to both the occupational framework and personal risk-taking behavioural patterns. These are of major importance given the increasing number of drivers and the consequences for acute care and prevention. On the other hand there is a substantial lack of medical care for the drivers on the road. Therefore this article presents the"DocStop Initiative" for medical care on the road, an initiative that runs an international network of care providers (http://www.docstop-online.eu).
Assuntos
Acidentes de Trânsito/estatística & dados numéricos , Artropatias/epidemiologia , Artropatias/terapia , Traumatismo Múltiplo/epidemiologia , Traumatismo Múltiplo/terapia , Doenças Profissionais/epidemiologia , Doenças Profissionais/terapia , Acidentes de Trânsito/prevenção & controle , Condução de Veículo/estatística & dados numéricos , Alemanha/epidemiologia , Humanos , Prevalência , Fatores de RiscoRESUMO
In Germany, orthopedic and trauma surgery rank first in the number of alleged malpractice claims amongst all medical disciplines. Thus, the German Association of Trauma and Orthopedic Surgery, together with the Bavarian Chamber of Physicians, set out to identify potential predictors of approved malpractice claims to improve process quality. In a case-control study, 164 cases of approved malpractice claims were matched according to age and gender to 336 controls of rejected claims, based on the 2004 to 2006 dataset of the Bavarian Chamber of Physicians. Potential predictors of acceptance of an alleged incident were modeled by uni- and multivariate logistic regression analysis. The final model explained 71% of the probability of acceptance of an asserted claim. It contained three medical consequences (i.e. delayed healing, reoperation, and loss of motion), one specific entity (i.e. fracture) and one socio-demographic variable (i.e. professional driver) as independent predictors of acceptance. Insufficient or lacking explanation of the planned procedure to patients or relatives and / or lacking informed consent (odds ratio [OR] 2.33, 95% confidence interval [CI]1.23-4.43), as well as inappropriate, low-quality, or erroneously interpreted imaging (OR 1.90, 95% CI 1.06-3.41) independently contributed to the likelihood of acceptance of a legal claim. Strict adherence to the principles of surgical quality assurance in terms of transparent patient information and joint informed consent procedures, as well as intransigent radiological imaging are mandatory to foster surgeon-patients-relationships and to avoid later legal claims.
Assuntos
Imperícia/legislação & jurisprudência , Erros Médicos/legislação & jurisprudência , Ortopedia/legislação & jurisprudência , Gestão de Riscos/legislação & jurisprudência , Traumatologia/legislação & jurisprudência , Adulto , Idoso , Estudos de Casos e Controles , Estudos Transversais , Prova Pericial/legislação & jurisprudência , Feminino , Alemanha , Humanos , Masculino , Imperícia/estatística & dados numéricos , Erros Médicos/prevenção & controle , Pessoa de Meia-Idade , Análise Multivariada , Ortopedia/estatística & dados numéricos , Complicações Pós-Operatórias/epidemiologia , Complicações Pós-Operatórias/etiologia , Probabilidade , Medição de Risco/estatística & dados numéricos , Gestão de Riscos/estatística & dados numéricos , Traumatologia/estatística & dados numéricosRESUMO
Overdrainage is a common complication observed after shunting patients with idiopathic normal-pressure hydrocephalus (iNPH), with an estimated incidence up to 25%. Gravitational units that counterbalance intracranial pressure changes were developed to overcome this problem. We will set out to investigate whether the combination of a programmable valve and a gravitational unit (proGAV, Aesculap/Miethke, Germany) is capable of reducing the incidence of overdrainage and improving patient-centered outcomes compared to a conventional programmable valve (Medos-Codman, Johnson & Johnson, Germany). SVASONA is a pragmatic randomized controlled trial conducted at seven centers in Germany. Patients with a high probability of iNPH (based on clinical signs and symptoms, lumbar infusion and/or tap test, cranial computed tomography [CCT]) and no contraindications for surgical drainage will randomly be assigned to receive (1) a shunt assistant valve (proGAV) or (2) a conventional, programmable shunt valve (programmable Medos-Codman).We will test the primary hypothesis that the experimental device reduces the rate of overdrainage from 25% to 10%. As secondary analyses, we will measure iNPH-specific outcomes (i.e., the Black grading scale and the NPH Recovery Rate), generic quality of life (Short Form 36), and complications and serious adverse events (SAE). One planned interim analysis for safety and efficacy will be performed halfway through the study. To detect the hypothesized difference in the incidence of overdrainage with a type I error of 5% and a type II error of 20%, correcting for multiple testing and an anticipated dropout rate of 10%, 200 patients will be enrolled.The presented trial is currently recruiting patients, with the first results predicted to be available in late 2008.
Assuntos
Hidrocefalia de Pressão Normal/cirurgia , Complicações Pós-Operatórias/etiologia , Derivação Ventriculoperitoneal/efeitos adversos , Protocolos Clínicos , Análise de Falha de Equipamento , Seguimentos , Gravitação , Humanos , Pressão Intracraniana/fisiologia , Avaliação de Resultados em Cuidados de Saúde , Projetos de Pesquisa , Processamento de Sinais Assistido por ComputadorRESUMO
On August 30, 2010, the German Network for Health Services Research [Deutsches Netzwerk Versorgungsforschung e. V. (DNVF e. V.)] approved the Memorandum III "Methods for Health Services Research", supported by the member societies mentioned as authors and published in this Journal [Gesundheitswesen 2010; 72: 739-748]. The present paper focuses on methodological issues of economic evaluation of health care technologies. It complements the Memorandum III "Methods for Health Services Research", part 2. First, general methodological principles of the economic evaluations of health care technologies are outlined. In order to adequately reflect costs and outcomes of health care interventions in the routine health care, data from different sources are required (e. g., comparative efficacy or effectiveness studies, registers, administrative data, etc.). Therefore, various data sources, which might be used for economic evaluations, are presented, and their strengths and limitations are stated. Finally, the need for methodological advancement with regard to data collection and analysis and issues pertaining to communication and dissemination of results of health economic evaluations are discussed.
Assuntos
Tecnologia Biomédica/economia , Custos de Cuidados de Saúde/estatística & dados numéricos , Pesquisa sobre Serviços de Saúde/métodos , Modelos Econômicos , AlemanhaRESUMO
There are at present no valid guidelines for multimodal treatment of implant-associated infections; however, based on many years of experience gathered by specialized septic surgeons and likewise specialized treatment centers, established principles do exist. Treatment planning should always take into consideration the individual comorbidity of the patient, the underlying injury, the implant, the spectrum of germs, and the patient's compliance. The concept for managing implant-associated infections comprises five pillars and can be summarized as follows: first priority is given to rapid and radical surgical eradication of the infection by débridement of all infected and non-vital or underperfused tissue. We cannot propose clinical pathways as such for implant-related infections, i.e., by specifying interdisciplinary activities, control parameters, and responsibilities for a typical patient with clearly defined disease, but we can proffer strategic concepts for diagnostic work-up and treatment as we have already described.
Assuntos
Artroplastia do Joelho , Procedimentos Clínicos/organização & administração , Atenção à Saúde/organização & administração , Modelos Organizacionais , Ortopedia/organização & administração , Infecções Relacionadas à Prótese/prevenção & controle , Infecções Relacionadas à Prótese/terapia , Alemanha , HumanosRESUMO
Road traffic crashes pose a major threat to individuals and national health systems. Developing countries account for 48% of motorized vehicles, but for 91% of the 1.3 million fatalities per annum. While ranked ninth among the causes of disabilities adjusted life years lost in 2004, crash injuries are projected to rise to third position by 2030. This article reviews current prognoses of deaths and disabilities, the characteristics of crashes in low and middle income countries and evidence-based road safety interventions. This article is considered a wake-up call for trauma, orthopaedic, and emergency surgeons in high-income countries to join the global community in fighting the neglected yet potentially curable epidemic named road traffic injuries.
Assuntos
Acidentes de Trânsito/mortalidade , Acidentes de Trânsito/estatística & dados numéricos , Países em Desenvolvimento/estatística & dados numéricos , Ferimentos e Lesões/mortalidade , Humanos , Incidência , Fatores de Risco , Análise de Sobrevida , Taxa de SobrevidaRESUMO
The definition of complex pelvic trauma has allowed a selection of those pelvic fracture patients with the highest mortality rate. The term complex pelvic trauma is used as a definition for pelvic fractures which are associated with serious soft tissue lesions in the pelvic region. These may include visceral and neurovascular, as well as extensive skin and muscle injuries. Haemodynamic instability particularly related to vascular injuries raises the mortality dramatically. Traumatic hemipelvectomy, which represents the worst case of a complex pelvic trauma, is associated with mortality rates of up to 60%. The pelvic study groups 1-3 of the German trauma association (DGU) and the Association for Osteosynthesis (AO) provide the worldwide largest database on pelvic injuries (group 1, 1991-1993: 1,722 patients from 10 hospitals; group 2, 1998-2002: 2,569 patients from 22 hospitals; and group 3, 2005-2007: 2,704 patients from 23 hospitals). Using this database this article reviews epidemiological data, therapy concepts, associated injuries as well as the incidence and mortality rates related to complex pelvic trauma over a 16-year time period. Special attention has been paid to complex trauma in the elderly (patients >60 years of age). An additional aim of this article is to analyze the correlation between different treatment modalities and the mortality rate of complex pelvic trauma and to investigate whether changes in the treatment of complex pelvic trauma have improved the outcome of these injuries. Taken together an increase in measures for an initial mechanical stabilization of the pelvic ring, such as the use of the pelvic C clamp, the external fixator or primary osteosynthesis was found over the 16-year observation period. In addition to stabilization of the pelvic ring, pelvic tamponade for mechanical haemostasis has been proven to be one of the most effective measures to control haemorrhaging. These treatment regimes did not differ between young patients and patients >60 years of age. Regarding the outcome of these treatment strategies only slight decreases in the mortality rate were found (pelvic study group 1: 21%; pelvic study group 2: 22%; pelvic study group 3: 18%). In all pelvic study groups the mortality rate in patients >60 years of age was found to be significantly higher than in individuals <60 years of age (pelvic study group 1: 57% versus 29.6%, pelvic study group 2: 33% versus 22.6%, pelvic study group 3: 41% versus 10.4%, p <0.05, respectively).