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1.
Radiat Res ; 200(6): 577-586, 2023 Dec 01.
Artículo en Inglés | MEDLINE | ID: mdl-37956868

RESUMEN

This work describes an analysis, using a previously established chelation model, of the bioassay data collected from a worker who received delayed chelation therapy following a plutonium-238 inhalation. The details of the case have already been described in two publications. The individual was treated with Ca-DTPA via multiple intravenous injections and then nebulizations beginning several months after the intake and continuing for four years. The exact date and circumstances of the intake are unknown. However, interviews with the worker suggested that the intake occurred via inhalation of a soluble plutonium compound. The worker provided daily urine and fecal bioassay samples throughout the chelation treatment protocol, including samples collected before, during, and after the administration of Ca-DTPA. Unlike the previous two publications presenting this case, the current analysis explicitly models the combined biokinetics of the plutonium-DTPA chelate. Using the previously established chelation model, it was possible to fit the data through optimizing only the intake (day and magnitude), solubility, and absorbed fraction of nebulized Ca-DTPA. This work supports the hypothesis that the efficacy of the delayed chelation treatment observed in this case results mainly from chelation of cell-internalized plutonium by Ca-DTPA (intracellular chelation). It also demonstrates the validity of the previously established chelation model. As the bioassay data were modified to ensure data anonymization, the calculation of the "true" committed effective dose was not possible. However, the treatment-induced dose inhibition (in percentage) was calculated.


Asunto(s)
Plutonio , Traumatismos por Radiación , Humanos , Plutonio/orina , Traumatismos por Radiación/tratamiento farmacológico , Traumatismos por Radiación/etiología , Quelantes/uso terapéutico , Quelantes/farmacología , Ácido Pentético
2.
Radiat Prot Dosimetry ; 199(15-16): 1838-1843, 2023 Oct 11.
Artículo en Inglés | MEDLINE | ID: mdl-37819295

RESUMEN

The Human Respiratory Tract Model described in Publication 130 of the International Commission on Radiological Protection provides some mechanisms to account for retention of material that can be subject to little to no mechanical transport or absorption into the blood. One of these mechanisms is 'binding', which refers to a process by which a fraction ('bound fraction') of the dissolved material chemically binds to the tissue of the airway wall. The value of the bound fraction can have a significant impact on the radiation doses imparted to different parts of the respiratory tract. To properly evaluate-and quantify-bound fraction for an element, one would need information on long-term retention of the element in individual compartments of the respiratory tract. Such data on regional retention of plutonium in the respiratory tract of four workers-who had inhaled materials with solubility ranging from soluble nitrate to very insoluble high-fired oxides-were obtained at the United States Transuranium and Uranium Registries. An assumption of bound fraction alone was found to be inconsistent with this dataset and also with a review of the literature. Several studies show evidence of retention of a large amount of Pu activity in the scar tissues of humans and experimental animals, and accordingly, a model structure with scar-tissue compartments was proposed. The transfer rates to these compartments were determined using Markov Chain Monte Carlo analysis of the bioassay and post-mortem data, considering the uncertainties associated with deposition, dissolution and particle clearance parameters. The models predicted that a significant amount-between 20 and 100% for the cases analyzed-of plutonium retained in the respiratory tract was sequestered in the scar tissues. Unlike chemically-bound Pu that irradiates sensitive epithelial cells, Pu in scar tissues may not be dosimetrically significant because the scar tissues absorb most, if not all, of the energy from alpha emissions.


Asunto(s)
Plutonio , Animales , Humanos , Estados Unidos , Plutonio/análisis , Dosis de Radiación , Cicatriz/metabolismo , Modelos Biológicos , Sistema Respiratorio/metabolismo
3.
Radiat Prot Dosimetry ; 199(19): 2328-2337, 2023 Nov 16.
Artículo en Inglés | MEDLINE | ID: mdl-37635187

RESUMEN

This paper provides a practical overview of the mesh-type reference phantoms (MRCPs) published by the ICRP by providing supplementary guidance on the proper implementation of using the MRCPs in computational codes, such as Monte Carlo N-Particle. Various validation scenarios for photon and neutron exposures were also examined where published values were reproduced using the MRCPs for both external and internal exposures. Generally, the MRCPs performed well in the validation scenarios with the values reproduced being within 10% of the published values.


Asunto(s)
Fotones , Radiometría , Método de Montecarlo , Neutrones , Fantasmas de Imagen , Dosis de Radiación
4.
Health Phys ; 124(6): 462-474, 2023 06 01.
Artículo en Inglés | MEDLINE | ID: mdl-36880975

RESUMEN

ABSTRACT: As with any medical treatment, the decision to excise a wound contaminated with actinides is a risk-benefit analysis. The potential benefits of surgical excision following such contaminated wounds are reduction in the probability of stochastic effects, avoidance of local effects, and psychological comfort knowing that radioactive material deposited in the wound is prevented from being systemic. These benefits should be balanced against the potential risks such as pain, numbness, infection, and loss of function due to excision. To that end, the responsibility of an internal dosimetrist is to provide advice to both the patient and the treating physician about the likely benefits of excision that include, but not limited to, averted doses. This paper provides a review of the effectiveness of surgical excisions following plutonium-contaminated wounds and finds that excisions are highly effective at removing plutonium from wounds and at averting the doses they would have caused.


Asunto(s)
Plutonio , Traumatismos por Radiación , Heridas y Lesiones , Humanos , Plutonio/efectos adversos , Heridas y Lesiones/cirugía , Traumatismos por Radiación/cirugía
5.
Health Phys ; 124(2): 113-124, 2023 02 01.
Artículo en Inglés | MEDLINE | ID: mdl-36625835

RESUMEN

ABSTRACT: Accidental inhalation of plutonium at the workplace is a non-negligible risk, even when rigorous safety standards are in place. The intake and retention of plutonium in the human body may be a source of concern. Thus, if there is a suspicion of a significant intake of plutonium, medical countermeasures such as chelation treatment may be administered to the worker. The present work aimed to interpret the bioassay data of a worker involved in an inhalation incident due to a glovebox breach at Los Alamos National Laboratory's plutonium facility. The worker was treated with intravenous injections of calcium salts of diethylenetriaminepentaacetic acid (DTPA) in an attempt to reduce the amount of plutonium from the body and therefore reduce the internal radiation dose. It is well known in the internal dosimetry field that the administration of chelation treatment poses additional challenges to the dose assessment. Hence, a recently developed chelation model was used for the modeling of the bioassay data. The objectives of this work are to describe the incident, model the chelation-affected and non-affected bioassay data, estimate the plutonium intake, and assess the internal radiation dose.


Asunto(s)
Plutonio , Traumatismos por Radiación , Humanos , Plutonio/análisis , Traumatismos por Radiación/etiología , Traumatismos por Radiación/prevención & control , Traumatismos por Radiación/tratamiento farmacológico , Quelantes/uso terapéutico , Ácido Pentético
6.
Health Phys ; 124(2): 125-128, 2023 02 01.
Artículo en Inglés | MEDLINE | ID: mdl-36625836

RESUMEN

ABSTRACT: In addition to a review of theoretical analyses, this work presents an empirical study of nasal swab data from the Los Alamos National Laboratory (LANL) database correlated with intake obtained from plutonium internal dosimetry calculations. As a result of this work, several "intake-versus-nasal-swab" models were derived. We advocate quantitative use of nasal swab measurements in dose assessment calculations and discuss ways that this can be done. The best description of the LANL plutonium internal dose database is arguably intake = A + Bx, where A = 2.7 Bq, B = 3.8, and x = summed nasal swab activity. The geometric standard deviation was found to be 8.2. This relationship, obtained using plutonium data, should apply also for other radionuclides.


Asunto(s)
Plutonio , Plutonio/análisis , Radiometría , Radioisótopos
7.
Health Phys ; 124(2): 88-96, 2023 02 01.
Artículo en Inglés | MEDLINE | ID: mdl-36318044

RESUMEN

ABSTRACT: A glovebox breach at the plutonium facility at Los Alamos National Laboratory potentially exposed 15 individuals to 238 Pu aerosols. One of the individuals (P0) received two 1-g intravenous DTPA treatments, one on the day of the intake and another the following day. Several urine samples were collected from the individuals involved in the incident. Particle size analysis on the PPE and solubility analysis of the particles on a filter sample were conducted in vitro. The applicability of the results from the in vitro studies for dose assessment was questionable because of the effect of the cloth mask the workers were wearing for COVID-related protection. Based on several considerations, including the effect of cloth masks on the "effective" particle size inhaled and the analysis of fecal-to-urine ratio, the default Type M 1 µm AMAD model was used to estimate intakes and doses. Using the urinary excretion data collected after 100 d post last chelation treatment, the committed effective dose, E(50), for P0 was calculated to be 5.2 mSv. For all others, the bioassay data were consistent with no intakes or very small intakes [corresponding to E(50) less than 0.1 mSv].


Asunto(s)
COVID-19 , Plutonio , Humanos , Plutonio/orina , Aerosoles y Gotitas Respiratorias , Quelantes
8.
Health Phys ; 124(2): 75-87, 2023 02 01.
Artículo en Inglés | MEDLINE | ID: mdl-36515633

RESUMEN

ABSTRACT: In this work, the authors present instantaneous local dose rates from particles of plutonium-239 oxide ( 239 PuO) embedded in various regions of the respiratory tract. For comparison, a small number of simulations were performed in a representative region of the respiratory tract with other chemical compounds including pure metallic 239 Pu, 239 PuO 2 , 239 PuO 3 , 239 Pu 2 O 3 , and 239 Pu(NO 3 ) 4 . A small number of simulations were also performed with 238 PuO, weapons grade Pu, and Pu from a typical radioisotope thermoelectric generator (RTG) source for the same reason. The self-shielding effect is minor for very small particles but gradually becomes more significant as the particle size increases. For particles that are 0.1 µm and larger (excluding Pu nitrate), the calculated dose rate within several microns of the particle may be sufficient to damage lung cells, but the implications of damage to such a small volume of tissue are unclear. However, it is reasonable to assume that clinical effects will be observed if a large enough volume of tissue is damaged, as might happen when large numbers of particles are inhaled. The instantaneous dose rate around a particle may be predictive of deterministic effects, scar tissue formation, and biokinetics.


Asunto(s)
Pulmón , Plutonio , Plutonio/análisis
9.
Health Phys ; 124(1): 17-19, 2023 01 01.
Artículo en Inglés | MEDLINE | ID: mdl-36480581

RESUMEN

ABSTRACT: This work presents an alternate analysis of an in vitro solubility study on the lung dissolution rate of 238PuO2 material involved in a recent inhalation incident at Los Alamos National Laboratory (LANL). The original dataset used in this work was retrieved from a recently published report. The present work shows an analysis of the same dataset by modeling the dissolution in separate time intervals rather than modeling the cumulative dissolution.


Asunto(s)
Pulmón , Proyectos de Investigación
10.
Radiat Res ; 198(5): 449-457, 2022 11 01.
Artículo en Inglés | MEDLINE | ID: mdl-36048804

RESUMEN

A baseline compartmental model (relative to modeling decorporation) of the distribution and retention of plutonium (Pu) in the rat for a systemic intake is derived. The model is derived from data obtained from a study designed to evaluate the behavior of plutonium in the first 28 days after incorporation. The model is based on a recently published model of americium (Am) in rats, which incorporated a pharmacokinetic (PK)-front-end modeling approach, which was used to specify transfer to and from the extracellular fluids (ECF) in the various tissues in terms of vascular flow and volumes of ECF. In the americium model, the approach was "cell-membrane limited," meaning that rapid diffusion of americium occurred throughout all the extracellular fluids (i.e., the blood plasma and interstitial fluids), while back-end rates representing transport into and out of the cells were determined empirically. However, this approach was inconsistent with the plutonium dataset. A good fit to the data is obtained by incorporating aspects of the Durbin et al. model structure, with plutonium in plasma separated into "free" and "bound" components. Free plutonium uses a cell-membrane-limited front end as for americium. Bound plutonium uses a capillary-wall-limited front end, where transfer rates from blood plasma into the interstitial fluids are relatively slow, and must be determined either empirically or from a priori knowledge. As in the Durbin et al. model, both free and bound plutonium are available for deposition in bone. In addition, our model has some bound plutonium associated with uptake to the gastrointestinal (GI) tract. Uncertainties in transfer rates were investigated using Markov Chain Monte Carlo (MCMC). It is anticipated that this model structure of plutonium will also be useful in interpreting comparable data from decorporation studies done in experimental animals.


Asunto(s)
Plutonio , Animales , Ratas , Plutonio/metabolismo , Americio/metabolismo , Método de Montecarlo , Transporte Biológico , Huesos/metabolismo
11.
Health Phys ; 123(5): 348-359, 2022 11 01.
Artículo en Inglés | MEDLINE | ID: mdl-35951340

RESUMEN

ABSTRACT: Anecdotal evidence indicates there may be unpublished physical and psychological events associated with the medical treatment of plutonium intakes. A thorough review was conducted of the medical and bioassay records of current and previous Los Alamos National Laboratory (LANL) employees who had experienced plutonium intakes via wound or inhalation. After finding relatively incomplete information in the medical records, the research team interviewed current LANL employees who had undergone chelation therapy and/or surgical excision. Although the dataset is not large enough to reach statistically significant conclusions, it was observed that adverse events associated with treatment appear to be more frequent and more severe than previously reported.


Asunto(s)
Plutonio , Bioensayo , Terapia por Quelación , Humanos , Registros Médicos , Plutonio/efectos adversos , Plutonio/análisis , Estudios Retrospectivos
12.
Radiat Prot Dosimetry ; 196(3-4): 167-183, 2021 Nov 12.
Artículo en Inglés | MEDLINE | ID: mdl-34595535

RESUMEN

The respiratory tract tissues of four former nuclear workers with plutonium intakes were radiochemically analyzed post mortem by the United States Transuranium and Uranium Registries. Plutonium activities in the upper respiratory tract of these individuals were found to be higher than those predicted using the most recent biokinetic models described in publications of the International Commission on Radiological Protection. Modification of the model parameters, including the bound fraction, was not able to explain the data in one of the four individuals who had inhaled insoluble form of plutonium. Literature review points to the presence of-and a significant retention of-plutonium in the scar tissues of the lungs. Accordingly, an alternate model with scar-tissue compartments corresponding to larynx, bronchi, bronchioles, alveolar-interstitium and thoracic lymph nodes was proposed. The rates of transfer to the scar tissue compartments were determined using Markov Chain Monte Carlo analysis of data on urinary excretion, lung counts and post-mortem measurements of liver, skeleton and individual respiratory tract compartments, as available. The posterior models predicted that 20-100%-depending on the solubility of the material inhaled-of the activities retained in the respiratory tract were sequestered in the scar tissues.


Asunto(s)
Exposición Profesional , Plutonio , Protección Radiológica , Humanos , Pulmón/química , Exposición Profesional/análisis , Plutonio/análisis , Estados Unidos
13.
Health Phys ; 121(1): 73-76, 2021 07 01.
Artículo en Inglés | MEDLINE | ID: mdl-34002728

RESUMEN

ABSTRACT: This work considers the implications of cloth masks due to the COVID-19 pandemic on suspected plutonium inhalations and dose assessment. In a plutonium inhalation scenario, the greater filtration efficiency for large particles exhibited by cloth masks can reduce early fecal excretion without a corresponding reduction in dose. For plutonium incidents in which cloth masks are worn, urinary excretion should be the preferred method of inferring dose immediately after the inhalation, and fecal excretion should be considered unreliable for up to 10 days.


Asunto(s)
COVID-19/prevención & control , Heces/química , Exposición por Inhalación/estadística & datos numéricos , Máscaras , Exposición Profesional/estadística & datos numéricos , Plutonio/análisis , Exposición a la Radiación/estadística & datos numéricos , Monitoreo de Radiación , Humanos , Exposición por Inhalación/prevención & control , Exposición Profesional/prevención & control , Plutonio/farmacocinética , Exposición a la Radiación/prevención & control , Monitoreo de Radiación/métodos , Sistema Respiratorio/química
14.
Health Phys ; 121(1): 69-72, 2021 Jul 01.
Artículo en Inglés | MEDLINE | ID: mdl-33867438

RESUMEN

ABSTRACT: Recently, a glovebox breach led to the potential exposure of 15 Los Alamos National Laboratory employees to 238Pu. Given what is known about the material involved in the incident, the possibility of an intake with a ceramic-type component must be considered. Incidents in which intakes of ceramic solubility-type material is suspected represent a challenge for internal dose assessment via urine bioassay because even relatively large doses cannot be detected in urine until many months after the intake. Ideally, in these situations fecal samples should be collected to assess the intake, but in this case fecal sampling was delayed. This paper presents a method to calculate the maximum possible doses for all individuals involved in an incident using only early time-decreasing urine bioassay measurements.


Asunto(s)
Plutonio , Bioensayo/métodos , Cerámica , Estudios de Cohortes , Humanos , Plutonio/orina
15.
Health Phys ; 120(3): 258-270, 2021 03 01.
Artículo en Inglés | MEDLINE | ID: mdl-32881734

RESUMEN

ABSTRACT: Inhalation of plutonium is a significant contributor of occupational doses in plutonium production, nuclear fuel reprocessing, and cleanup operations. Accurate assessment of the residence time of plutonium in the lungs is important to properly characterize dose and, consequently, the risk from inhalation of plutonium aerosols. This paper discusses the long-term retention of plutonium in different parts of the respiratory tract of two workers who donated their bodies to the US Transuranium and Uranium Registries. The post-mortem tissue radiochemical analysis results, along with the urine bioassay data, were interpreted using Markov Chain Monte Carlo and the latest biokinetic models presented in the Occupational Intakes of Radionuclides series of ICRP publications. The materials inhaled by both workers were found to have solubility between that of plutonium nitrates and oxides. The long-term solubility was also confirmed by comparison of the activity concentration in the lungs and the thoracic lymph nodes. The data from the two individuals can be explained by assuming a bound fraction (fraction of plutonium deposited in the respiratory tract that becomes bound to lung tissue after dissolution) of 1% and 4%, respectively, without having to significantly alter the particle clearance parameters. Effects of different assumptions about the bound fraction on radiation doses to different target regions was also investigated. For inhalation of soluble materials, an assumption of fb of 1%, compared to the ICRP default of 0.2%, increases the dose to the most sensitive target region of the respiratory tract by 258% and that to the total lung by 116%. Some possible alternate methods of explaining higher-than-expected long-term retention of plutonium in the upper respiratory tract of these individuals-such as physical sequestration of material into the scar tissues and possible uptake by lungs-are also briefly discussed.


Asunto(s)
Exposición Profesional , Plutonio , Sistema Respiratorio , Aerosoles , Bioensayo , Humanos , Exposición Profesional/estadística & datos numéricos , Plutonio/efectos adversos , Plutonio/análisis , Sistema Respiratorio/química
16.
J Radiol Prot ; 41(4)2021 Nov 18.
Artículo en Inglés | MEDLINE | ID: mdl-33186925

RESUMEN

The U.S. Transuranium and Uranium Registries whole-body tissue donor Case 0407 had an acute intake of 'high-fired' plutonium oxide resulting from a glove-box fire in a fabrication plant at a nuclear defence facility. The respiratory tract of this individual was dissected into five regions (larynx, bronchi, bronchioles, alveolar-interstitial, and thoracic lymph nodes) and analysed for plutonium content. The activities in certain compartments of the respiratory tract were found to be higher than expected from the default models described in publications of the International Commission on Radiological Protection. Because of the extremely slow rate of dissolution of the material inhaled, the presence of bound fraction is incapable of explaining the higher-than-expected retention. A plausible hypothesis-encapsulation of plutonium in scar tissues-is supported by the review of literature. Therefore, scar-tissue compartments corresponding to the larynx, bronchi, bronchioles and alveolar-interstitial regions were added to the existing human respiratory tract model structure. The transfer rates between these compartments were determined using Markov Chain Monte Carlo analysis of data on urinary excretion, lung counts and post-mortem measurements of the liver, skeleton and regional retention in the respiratory tract. Modelling of the data showed that approximately 30% of plutonium activity in the lung was sequestered in scar tissues. The dose consequence of such sequestration is qualitatively compared against that of chemical binding.


Asunto(s)
Exposición Profesional , Plutonio , Cicatriz , Humanos , Pulmón/química , Exposición Profesional/análisis , Óxidos , Plutonio/análisis
17.
Health Phys ; 119(6): 690-703, 2020 12.
Artículo en Inglés | MEDLINE | ID: mdl-33196522

RESUMEN

The urinary excretion and wound retention data collected after a Pu-contaminated wound were analyzed using Markov Chain Monte Carlo (MCMC) to obtain the posterior distribution of the intakes and doses. An empirical approach was used to model the effects of medical treatments (chelation and excision) on the reduction of doses. It was calculated that DTPA enhanced the urinary excretion, on average, by a factor of 17. The empirical analysis also allowed calculation of the efficacies of the medical treatments-excision and chelation averted approximately 76% and 5.5%, respectively, of the doses that would have been if there were no medical treatment. All bioassay data are provided in the appendix for independent analysis and to facilitate the compartmental modeling approaches being developed by the health physics community.


Asunto(s)
Quelantes/uso terapéutico , Terapia por Quelación/métodos , Plutonio/orina , Traumatismos por Radiación/prevención & control , Heridas Penetrantes/tratamiento farmacológico , Heridas Penetrantes/cirugía , Bioensayo , Humanos , Modelos Biológicos , Plutonio/efectos adversos , Traumatismos por Radiación/diagnóstico , Traumatismos por Radiación/orina , Heridas Penetrantes/etiología
18.
Health Phys ; 119(6): 704-714, 2020 12.
Artículo en Inglés | MEDLINE | ID: mdl-33196523

RESUMEN

The three principal pathways for intakes of plutonium are ingestion, inhalation, and contaminated wounds. In August 2018, a glovebox worker at Los Alamos National Laboratory (LANL) sustained a puncture from a thread of a braided steel cable contaminated with Pu. The puncture produced no pain, no blood, and little or no visible mark. As a result, the potential for a contaminated wound was not immediately recognized, and a wound count was not conducted until elevated urine bioassay results were received 12 d after the incident. This paper discusses the circumstances of the incident, along with the medical response and dose assessment, and a discussion of the risks and benefits of the medical interventions.


Asunto(s)
Bioensayo/métodos , Laboratorios/estadística & datos numéricos , Exposición Profesional/análisis , Plutonio/orina , Punciones/métodos , Traumatismos por Radiación/diagnóstico , Piel/patología , Relación Dosis-Respuesta en la Radiación , Humanos , Exposición Profesional/efectos adversos , Plutonio/efectos adversos , Traumatismos por Radiación/etiología , Traumatismos por Radiación/orina , Monitoreo de Radiación/métodos , Piel/efectos de la radiación
19.
Health Phys ; 119(6): 715-732, 2020 12.
Artículo en Inglés | MEDLINE | ID: mdl-33196524

RESUMEN

The administration of chelation therapy to treat significant intakes of actinides, such as plutonium, affects the actinide's normal biokinetics. In particular, it enhances the actinide's rate of excretion, such that the standard biokinetic models cannot be applied directly to the chelation-affected bioassay data in order to estimate the intake and assess the radiation dose. The present study proposes a new chelation model that can be applied to the chelation-affected bioassay data after plutonium intake via wound and treatment with DTPA. In the proposed model, chelation is assumed to occur in the blood, liver, and parts of the skeleton. Ten datasets, consisting of measurements of C-DTPA, Pu, and Pu involving humans given radiolabeled DTPA and humans occupationally exposed to plutonium via wound and treated with chelation therapy, were used for model development. The combined dataset consisted of daily and cumulative excretion (urine and feces), wound counts, measurements of excised tissue, blood, and post-mortem tissue analyses of liver and skeleton. The combined data were simultaneously fit using the chelation model linked with a plutonium systemic model, which was linked to an ad hoc wound model. The proposed chelation model was used for dose assessment of the wound cases used in this study.


Asunto(s)
Bioensayo/métodos , Quelantes/uso terapéutico , Exposición Profesional/análisis , Ácido Pentético/uso terapéutico , Plutonio/análisis , Traumatismos por Radiación/prevención & control , Heridas Penetrantes/tratamiento farmacológico , Huesos/metabolismo , Terapia por Quelación/métodos , Interpretación Estadística de Datos , Heces/química , Humanos , Hígado/metabolismo , Masculino , Modelos Biológicos , Exposición Profesional/efectos adversos , Plutonio/efectos adversos , Dosis de Radiación , Traumatismos por Radiación/diagnóstico , Traumatismos por Radiación/orina , Urinálisis , Heridas Penetrantes/etiología
20.
Radiat Prot Dosimetry ; 189(2): 149-156, 2020 Jul 13.
Artículo en Inglés | MEDLINE | ID: mdl-32222771

RESUMEN

Based on $n$ replicate measurements that require known normalization factors and assuming an underlying normal distribution for individual measurements but with unknown standard deviation, a combined likelihood function is derived that takes the form of a Student's $t$-distribution with $\nu = n-1$ degrees of freedom and $t=(\psi -\overline{Y})/s$, where $\psi $ is the true value of the measurement quantity calculated from the forward model, and $\overline{Y}$ and $s$ are average and standard error of the mean obtained from the $n$ measurements defined with weighting proportional to the inverse of the normalization factor squared. Assuming an underlying triangle distribution rather than a normal distribution does not produce a large change for six replicates. Examples of replicate data from an animal study and sequential occupational urine and fecal monitoring are given. The use of the empirical likelihood function in data modeling is discussed.


Asunto(s)
Funciones de Verosimilitud , Animales , Humanos , Distribución Normal , Distribuciones Estadísticas
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