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Paul S Albert

Publications and source records attributed to Paul S Albert.

At least 19 recordsLinked to original sources
PubMed2026

Estimating the heritability of longitudinal rate-of-change: genetic insights into PSA velocity in prostate cancer-free individuals.

Serum prostate-specific antigen (PSA) is widely used for prostate cancer screening. While the genetics of PSA levels have been studied to enhance screening accuracy, the genetic basis of PSA velocity, the rate of PSA change over time, remains unclear. The Prostate, Lung, Colorectal, and Ovarian (PLCO) Cancer Screening Trial, a large, randomized study with longitudinal PSA data (15,260 cancer-free males, averaging 5.34 samples per subject) and genome-wide genotype data, provides a unique opportunity to estimate PSA velocity heritability. We developed a mixed model to jointly estimate the heritability of PSA levels at age 54 and PSA velocity. To accommodate the large dataset, we implemented 2 efficient computational approaches: a partitioning and meta-analysis strategy using average information restricted maximum likelihood (AI-REML) and a fast restricted Haseman-Elston (REHE) regression method. Simulations showed that both methods yield unbiased estimates of both heritability metrics, with AI-REML providing smaller variability in the estimation of velocity heritability than REHE. Applying AI-REML to PLCO data, we estimated heritability at 0.32 (s.e. = 0.07) for baseline PSA and 0.45 (s.e. = 0.18) for PSA velocity. These findings reveal a substantial genetic contribution to PSA velocity, supporting future genome-wide studies to identify variants affecting PSA dynamics and improve PSA-based screening.

Humans↗
PubMed2006

Long-lasting decrease in viremia in macaques chronically infected with simian immunodeficiency virus SIVmac251 after therapeutic DNA immunization.

Rhesus macaques chronically infected with highly pathogenic simian immunodeficiency virus (SIV) SIVmac251 were treated with antiretroviral drugs and vaccinated with combinations of DNA vectors expressing SIV antigens. Vaccination during therapy increased cellular immune responses. After the animals were released from therapy, the virus levels of 12 immunized animals were significantly lower (P = 0.001) compared to those of 11 animals treated with only antiretroviral drugs. Vaccinated animals showed a persistent increase in immune responses, thus indicating both a virological and an immunological benefit following DNA therapeutic vaccination. Several animals show a long-lasting decrease in viremia, suggesting that therapeutic vaccination may provide an additional benefit to antiretroviral therapy.

Animals↗
PubMed2006

Intrarectal amifostine suspension may protect against acute proctitis during radiation therapy for prostate cancer: a pilot study.

PURPOSE: Our goal was to test the ability of intrarectal amifostine to limit symptoms of radiation proctitis. METHODS AND MATERIALS: The first 18 patients received 1 g of intrarectal amifostine suspension placed 30-45 min before each radiation treatment. The following 12 patients received 2 g of amifostine. Total dose prescribed ranged from 66 to 76 Gy. All patients were treated with three-dimensional conformal radiation therapy. The suspension remained intrarectal during treatment and was expelled after treatment. For gastrointestinal symptoms, during treatment and follow-up, all patients had a Radiation Therapy Oncology Group (RTOG) grade recorded. RESULTS: Median follow-up was 18 months (range, 6-24 months). With 2 g vs. 1 g amifostine, there was a nearly significant decrease in RTOG Grade 2 acute rectal toxicity. Seven weeks after the start of radiation therapy, the incidence of Grade 2 toxicity was 33% in the 1-g group (6/18) compared with 0% (0/12) in the 2-g group (p=0.06). No Grade 3 toxicity or greater occurred in this study. CONCLUSION: This trial suggests greater rectal radioprotection from acute effects with 2 g vs. 1 g amifostine suspension. Further studies should be conducted in populations at higher risk for developing symptomatic acute and late proctitis.

Administration, Rectal↗
PubMed2006

A dosimetric analysis of dose escalation using two intensity-modulated radiation therapy techniques in locally advanced pancreatic carcinoma.

PURPOSE: To perform an analysis of three-dimensional conformal radiation therapy (3D-CRT), sequential boost intensity-modulated radiation therapy (IMRTs), and integrated boost IMRT (IMRTi) for dose escalation in unresectable pancreatic carcinoma. METHODS AND MATERIALS: Computed tomography images from 15 patients were used. Treatment plans were generated using 3D-CRT, IMRTs, and IMRTi for dose levels of 54, 59.4, and 64.8 Gy. Plans were analyzed for target coverage, doses to liver, kidneys, small bowel, and spinal cord. RESULTS: Three-dimensional-CRT exceeded tolerance to small bowel in 1 of 15 (6.67%) patients at 54 Gy, and 4 of 15 (26.7%) patients at 59.4 and 64.8 Gy. 3D-CRT exceeded spinal cord tolerance in 1 of 15 patients (6.67%) at 59.4 Gy and liver constraints in 1 of 15 patients (6.67%) at 64.8 Gy; no IMRT plans exceeded tissue tolerance. Both IMRT techniques reduced the percentage of total kidney volume receiving 20 Gy (V20), the percentage of small bowel receiving 45 Gy (V45), and the percentage of liver receiving 35 Gy (V35). IMRTi appeared superior to IMRTs in reducing the total kidney V20 (p < 0.0001), right kidney V20 (p < 0.0001), and small bowel V45 (p = 0.02). CONCLUSIONS: Sequential boost IMRT and IMRTi improved the ability to achieve normal tissue dose goals compared with 3D-CRT. IMRTi allowed dose escalation to 64.8 Gy with acceptable normal tissue doses and superior dosimetry compared with 3D-CRT and IMRTs.

Carcinoma↗
PubMed2006

Lymphovascular invasion in prostate cancer: prognostic significance in patients treated with radiotherapy after radical prostatectomy.

BACKGROUND: Lymphovascular invasion (LVI) is found in approximately 5% to 53% of specimens after radical prostatectomy (RP). Although LVI is associated with higher rates of recurrence after RP, its prognostic significance after postprostatectomy radiotherapy (P-XRT) is unclear. METHODS: The medical records of men who received P-XRT from 1991 to 2001 at 2 institutions were reviewed for the presence of LVI in RP specimens. Multiple patient variables were evaluated for their association with LVI using Fisher exact tests and Wilcoxon rank-sum tests. The time to biochemical recurrence (BCR) and the time to distant metastases (DM) after RP were analyzed using Kaplan-Meier estimations, log-rank tests, and Cox regression analyses. RESULTS: Eighteen of 160 patients (11%) who received P-XRT had LVI in their RP specimen. High Gleason score and seminal vesicle invasion were associated significantly with LVI. After a median follow-up of 8.3 years after RP, 16 patients with LVI had BCR after P-XRT, 9 of whom developed DM. The median time to BCR in patients with LVI was 2.6 years (95% confidence interval [95% CI], 1.8-5.4) compared with 7.8 years (95% CI, 6.8-10.3) in patients without LVI (P < .001). Multivariate analysis revealed an adjusted relative risk for LVI of 5.5 (P < .001). Other significant factors were Gleason score, undetectable post-RP serum prostate-specific antigen (PSA) levels, preradiotherapy serum PSA levels, and the interval from RP to P-XRT. LVI was the only significant factor associated with an increased risk of DM in univariate analysis (hazard ratio, 7.4; P < .001). CONCLUSIONS: LVI was useful as a pathologic marker for reduced efficacy of P-XRT after RP in terms of increased risk of BCR and DM. Future studies will be needed to validate these findings.

Aged↗
PubMed2006

Dietary fiber intake: assessing the degree of agreement between food frequency questionnaires and 4-day food records.

OBJECTIVE: To assess the degree of agreement (comparability) between dietary fiber intakes reported on a food frequency questionnaire (FFQ) with 4-day food records (4DFR) and determine whether demographic, behavioral and biological factors influence comparability. METHODS: At baseline and year one, all participants in the Polyp Prevention Trial (PPT), a multi-center randomized, clinical trial of a low-fat, high fiber, high fruit/vegetable eating plan and recurrence of large bowel adenomatous polyps were instructed in dietary assessment and completed a 106-item FFQ and 4DFR that trained nutritionists reviewed. A random sub-cohort of participants (n = 399) was selected from the intervention and control arms of the PPT for analysis of both FFQ and 4DFR. RESULTS: Baseline crude and energy-adjusted fiber intakes were significantly higher in the 4DFR than the FFQ (P = 0.001). Using Bland-Altman statistics, the mean difference (FFQ-4DFR) was -0.11 g/MJ; while the limits of agreement were -1.45, 1.23 g/MJ. The mean fiber difference increased with increasing average intake (FFQ + 4DFR)/2, (P = 0.004) for men, but not women (P = 0.10), suggesting that fiber intake was under-estimated in the FFQ, relative to the 4-DFR, for men with low fiber intakes and over-estimated for men with high intakes. Smoking and gender significantly influenced the average intake at baseline, whereas other demographic and behavioral factors did not. Education was significantly associated with average difference in fiber intake at baseline, but not at year 1. CONCLUSIONS: This study of clinical trial volunteers revealed differences in the ability to comparably report fiber intake across tools by gender, smoking, and education, however participants' repeated training in dietary assessment improved comparability in reporting over time.

Adult↗
PubMed2006

High dry bean intake and reduced risk of advanced colorectal adenoma recurrence among participants in the polyp prevention trial.

Adequate fruit and vegetable intake was suggested to protect against colorectal cancer and colorectal adenomas; however, several recent prospective studies reported no association. We examined the association between fruits and vegetables and adenomatous polyp recurrence in the Polyp Prevention Trial (PPT). The PPT was a low-fat, high-fiber, high-fruit, and vegetable dietary intervention trial of adenoma recurrence, in which there were no differences in the rate of adenoma recurrence in participants in the intervention and control arms of the trial. In this analysis of the entire PPT trial-based cohort, multiple logistic regression analysis was used to estimate the odds ratio (OR) of advanced and nonadvanced adenoma recurrence within quartiles of baseline and change (baseline minus the mean over 3 y) in fruit and vegetable intake, after adjustment for age, total energyy intake, use of nonsteroidal anti-inflammatory drugs, BMI, and gender. There were no significant associations between nonadvanced adenoma recurrence and overall change in fruit and vegetable consumption; however, those in the highest quartile of change in dry bean intake (greatest increase) compared with those in the lowest had a significantly reduced OR for advanced adenoma recurrence (OR = 0.35; 95% CI, 0.18-0.69; P for trend = 0.001). The median in the highest quartile of change in dry bean intake was 370% higher than the baseline intake. The PPT trial-based cohort provides evidence that dry beans may be inversely associated with advanced adenoma recurrence.

Adenoma↗
PubMed2005

Comparing measures of acute bowel toxicity in patients with prostate cancer treated with external beam radiation therapy.

PURPOSE: This study strives to compare early measures of bowel toxicity in patients with prostate cancer receiving definitive or adjuvant 3D conformal external beam radiation therapy and concurrent daily endorectal application of amifostine. METHODS: Eighteen patients were enrolled in the clinical study with a median follow-up of 12 months. Prescription doses ranged from 66 Gy to 76 Gy with a daily fractionation of 2 Gy. Acute bowel toxicity was measured at baseline, at Weeks 5 and 7 of radiotherapy, and at 1 and 3 months after the completion of therapy. Measures of acute bowel toxicity included the Radiation Therapy Oncology Group (RTOG) acute radiation morbidity scoring criteria, Expanded Prostate Cancer Index Composite (EPIC) self-assessment questionnaires, and proctoscopic examinations. RESULTS: The mean EPIC bowel scores changed significantly through the course of therapy and follow-up (p < 0.0001), with a progressive decrease in scores at Weeks 5 and 7 of treatment, a partial recovery at 3 months, and a correlation to the gold standard RTOG grade (p = 0.004). Proctoscopic toxicity scores were low, did not vary over time, and did not correlate with either EPIC or RTOG scores. CONCLUSION: The EPIC questionnaire measurements are most sensitive to changes in acute bowel toxicity through a course of radiotherapy and correlate with RTOG acute toxicity scores. Endoscopic examination of the rectal mucosa at the end and immediate follow-up of a course of therapy does not seem to be informative or reproducible between observers in the acute setting.

Aged↗
PubMed2005

Efficient estimation of the risk of a disease by quantile-categories of a key predictor variable using generalized additive models.

Suppose that one wishes to make inference to the risk of a disease by the population quartile-categories of a key continuous predictor variable. When one collects data on a prospective cohort, the standard method is simply to categorize the key predictor variable by the empirical quartiles. One may then include indicator variables for these empirical quartile-categories as predictors, along with other covariates, in a generalized linear model (GLM), with the observed health status of each subject as the response. The standard GLM method, however, is relatively inefficient, because it treats all observations that fall in the same quartile-category of the predictor variable identically, regardless of whether they lie in the centre or near the boundaries of that category. Alternatively, one may include the key predictor variable, along with other covariates, in a generalized additive model (GAM), again with the observed health status of each subject as the response. The alternative GAM method non-parametrically estimates the functional relationship between the key predictor variable and the response. One may then compute statistics of interest, such as proportions and odds ratios, from the fitted GAM equation using the empirical quartile-categories. Simulations show that both the GLM and GAM methods are nearly unbiased, but the latter method produces smaller variances and narrower bootstrap confidence intervals. An example from nutritional epidemiology illustrates the use of these methods.

Adult↗
PubMed2005

Assessing surrogates as trial endpoints using mixed models.

Having a surrogate for a definitive endpoint in a clinical trial can sometimes be useful when it is impractical, invasive or very time consuming to obtain the definitive endpoint. This paper discusses methods for assessing whether the surrogate-endpoint results of a trial can be used in place of definitive-endpoint results. It is important when examining this trial-level surrogacy to include the possibility of trial-level effects and to distinguish whether the treatment arms are naturally ordered, e.g. A vs A+B rather than A vs B. Methods using mixed models of trial-level summaries are discussed and compared to fixed-effects models and to the possibility of using models of individual-level data. We give estimators for definitive-endpoint results of a trial that are predicted from the surrogate-endpoint results of the trial and a set of results from previous trials in which both the definitive and surrogate trial results were available. Graphical displays are also suggested. Two sets of trial results previously analysed for trial-level surrogacy are used as examples.

Antineoplastic Agents↗
PubMed2005

A pilot study of longitudinal serum cytokine and angiogenesis factor levels as markers of therapeutic response and survival in patients with head and neck squamous cell carcinoma.

BACKGROUND: Head and neck squamous cell carcinomas (HNSCCs) were previously shown to express a repertoire of cytokines and angiogenesis factors that contribute to malignant pathogenesis and are detectable in serum. Pretreatment and posttreatment serum levels of cytokines and angiogenesis factors were evaluated as markers for outcome in patients with HNSCC. METHODS: Baseline cytokine and factor levels of 29 patients with HNSCC were compared with those of 15 age-matched and sex-matched controls, and pretreatment and posttreatment levels of 22 of the patients eligible for treatment and followed for a median of 37 months were compared. RESULTS: Mean serum concentrations of interleukin (IL)-6, IL-8, hepatocyte growth factor (HGF), vascular endothelial growth factor (VEGF), and growth regulated oncogene 1 (GRO-1) were increased in patients with HNSCC, but elevation of these factors was not associated with clinical outcome. However, changes in first posttreatment serum cytokine levels were observed for many of the patients consistent with response, progression, and survival. Later increases in IL-6 or HGF were observed in patients who had a relapse and inflammatory or infectious complications. A relationship between the change in the pretreatment and first posttreatment cytokine measurement with survival was detected for HGF, IL-8, IL-6, and VEGF using a Cox-proportional hazards model (p = .004, p = .06, p = .10, and p = .11). The association between longitudinal decreases in IL-6, IL-8, VEGF, and HGF throughout the follow-up with survival was detected with a time-dependent Cox model (p = .01, .07, .08, and .05, respectively). CONCLUSIONS: Longitudinal changes in serum HGF, IL-6, IL-8, and VEGF were detected with treatment response, relapse, or complications in individual patients and were associated with survival, with HGF showing the strongest relationship with survival. HGF, IL-6, IL-8, and VEGF merit investigation as markers of response, survival, and recurrence in larger prospective studies.

Adult↗
PubMed2005

The association between cigarette smoking and colorectal polyp recurrence (United States).

OBJECTIVE: Although evidence exists linking smoking to precancerous colorectal adenomatous polyps, few studies have examined the association between cigarette smoking and recurrence of colorectal polyps. This association was investigated prospectively with data from the Polyp Prevention Trial. METHODS: Cigarette smoking data were collected through baseline interviews. The study was completed by 1872 men and women with presence of adenomas at baseline colonoscopy. Multiple logistic regression analysis was used to examine the association between cigarette smoking and polyp recurrence (adenomatous and hyperplastic) up to four years from baseline. RESULTS: Adenoma recurrence was not related to cigarette smoking. Current smokers had increased odds of hyperplastic polyps at follow-up compared to never smokers (OR 2.88, 95% CI 2.06-4.01). Current smoking was associated with subsequent distal (OR 3.44, 95% CI 2.38-4.95) and rectal (OR 3.53, 95% CI 2.15-5.78) hyperplastic polyps, but not subsequent proximal hyperplastic polyps. Cigarette smoking was associated with subsequent multiple and small size (4 mm) hyperplastic polyps. Significant linear trends were observed between development of subsequent hyperplastic polyps and all smoking variables. CONCLUSIONS: Although no association with recurrent adenomas was observed, cigarette smoking was significantly associated with hyperplastic polyp development, except for those in the proximal colon. This prospective study confirms that cigarette smoking has a significant effect on the development of hyperplastic colorectal polyps.

Adenoma↗
PubMed2005

Alpha-particle radioimmunotherapy of disseminated peritoneal disease using a (212)Pb-labeled radioimmunoconjugate targeting HER2.

These studies demonstrate the feasibility of targeted therapy for the treatment of disseminated peritoneal disease using (212)Pb-labeled Herceptin as an in vivo generator of (212)Bi. In vitro studies compare the potential of the bismuth radioisotopes, (213)Bi and (212)Bi, to that of (212)Pb. Overall, (212)Pb results in a higher therapeutic index than either bismuth radioisotope, requiring lower radioactivity (microCi) for effective cytotoxic response. A pilot radioimmunotherapy (RIT) experiment treating mice bearing 5 d LS-174T intraperitoneally (i.p.) xenografts determined a maximum tolerated dose (MTD) of 20-40 microCi with i.p. administration. A specific dose response was observed and 10 microCi was selected as the effective operating dose for future experiments. Median survival of tumor-bearing mice receiving 10 microCi increased from 19 to 56 days (p = 0.008). The efficacy of (212)Pb-Herceptin was also assessed in a human pancreatic carcinoma xenograft (Shaw; i.p.) animal model previously reported as unresponsive to 213Bi-Herceptin (p = 0.002). Multiple dosing of (212)Pb-Herceptin was evaluated in both animal models. The median survival of mice bearing 3 d LS-174T i.p. xenografts increased to 110 days, with up to 3 doses of (212)Pb-Herceptin given at approximately monthly intervals; however, there was no evidence of a correlation with the second and third doses (p = 0.98). No improvement in median survival was noted with a similar regimen in the Shaw xenograft model.

Alpha Particles↗
PubMed2005

Effects of alcohol on insulin-like growth factor I and insulin-like growth factor binding protein 3 in postmenopausal women.

BACKGROUND: Increased circulating insulin-like growth factor I (IGF-I) concentrations, frequently adjusted for IGF binding protein 3 (IGFBP-3), have been associated with increased risk of several types of cancer, including colon, prostate, and breast. Studies have suggested that alcohol may affect IGF-I or IGFBP-3; however, controlled feeding studies to assess alcohol's effects on IGF-I or IGFBP-3 have not been conducted. OBJECTIVE: To determine whether chronic, moderate alcohol intake affects serum IGF-I or IGFBP-3 concentrations, we performed a controlled, crossover feeding study. DESIGN: Fifty-three postmenopausal women were randomly assigned to consume 0 g (control), 15 g (one drink), or 30 g (2 drinks) alcohol daily for 8 wk and were rotated through the other 2 intake levels in random order. All foods and beverages were provided during the intervention. Individuals were monitored and calories adjusted to maintain constant weight, and serum was collected at the end of each diet period. RESULTS: Compared with the effects of 0 g alcohol/d, IGF-I concentrations were nearly unchanged by 15 g alcohol/d (0.8%; 95% CI: -3.2%, 3.5%) but decreased significantly by 4.9% (95% CI: -8.0%, -1.6%) with 30 g alcohol/d. IGFBP-3 concentrations significantly increased by 3.0% (95% CI: 0.4%, 5.6%) with 15 g alcohol/d but did not increase significantly with 30 g/d (1.8%; 95% CI: -0.9%, 4.5%). CONCLUSIONS: To our knowledge, this is the first published controlled diet study to find that in postmenopausal women, when weight is kept constant, alcohol consumption reduces the amount of serum IGF-I potentially available for receptor binding. These findings suggest that the effect of alcohol intake should be considered in studies of IGF-I, IGFBP-3, and cancer in postmenopausal women.

Aged↗
PubMed2005

The association of calcium and vitamin D with risk of colorectal adenomas.

The Polyp Prevention Trial (PPT) was a multicenter randomized clinical trial designed to determine the effects of a high-fiber, high-fruit and vegetable, low-fat diet on the recurrence of adenomatous polyps in the large bowel. Detailed dietary intake and supplement use data were collected at baseline and at each of 4 annual study visits. Adenoma recurrence was ascertained by complete colonoscopy at baseline and after 1 and 4 y. Recurrence was found in 754 of the 1905 trial participants. We evaluated the association between calcium and vitamin D intake and adenomatous polyp recurrence after adjusting for intervention group, age, gender, nonsteroidal anti-inflammatory drug use, total energy intake, and the interaction of gender and intervention group. Vitamin D models were also adjusted for the location of the clinic site. Dietary variables were adjusted for total energy intake via the residual method. There were no overall significant associations between adenoma recurrence and dietary calcium intake [odds ratio (OR) for the 5th compared with the lowest quintile = 0.91; 95% CI = 0.67-1.23; P-trend = 0.68], total calcium intake (OR = 0.86; 95% CI = 0.62-1.18; P-trend = 0.20), or dietary vitamin D intake (OR = 0.93; 95% CI = 0.69-1.25; P-trend = 0.43) averaged over follow-up. Total vitamin D intake was weakly inversely associated with adenoma recurrence (OR = 0.84; 95% CI = 0.62-1.13; P-trend = 0.03). Supplemental calcium and vitamin D use during follow-up also were inversely associated with adenoma recurrence (OR for any compared with no use = 0.82; 95% CI = 0.68-0.99; and OR = 0.82; 95% CI = 0.68-0.99; for calcium and vitamin D, respectively). Slightly stronger associations were noted for the prevention of multiple recurrences. Our analyses did not suggest a significant effect modification between total calcium and total vitamin D intake (P = 0.14) on risk for adenoma recurrence. This trial cohort provides some evidence that calcium and vitamin D may be inversely associated with adenoma recurrence.

Adenoma↗
PubMed2005

Long-term salvage radiotherapy outcome after radical prostatectomy and relapse predictors.

PURPOSE: We assessed the efficacy of salvage radiotherapy (SRT) and analyzed predictors of biochemical progression-free survival (bPFS) and distant metastasis-free survival in patients with clinically localized disease recurrence after radical prostatectomy. MATERIALS AND METHODS: The records of 114 patients treated with SRT at 2 institutions between 1991 and 2001 were retrospectively reviewed. Time to biochemical recurrence and to distant metastases was analyzed using the Kaplan-Meier estimation. Candidate predictors of bPFS and distant metastasis-free survival were analyzed using the log rank test and Cox regression. Acute and late complications were scored using Radiation Therapy Oncology Group/European Organization for Research and Treatment of Cancer criteria. RESULTS: At a median followup of 6.3 years (range 1.9 to 13.3) for SRT 4 and 6-year bPFS was 50% (95% CI 42% to 61%) and 33% (95% CI 24% to 43%), respectively. The 6-year actuarial probability of distant metastases after SRT was 14%. Multivariate analysis demonstrated an independent association of increasing Gleason score, lymphovascular invasion and lack of a complete response to SRT with decreased 5-year bDFS. These factors were associated with significantly less 5-year distant metastasis-free survival. Pre-RT prostate specific antigen greater than 2.0 ng/ml was associated with significantly decreased 5-year bDFS and distant metastasis-free survival, although it was not maintained on multivariate analysis. CONCLUSIONS: SRT results in durable prostate specific antigen control in select patients. It is well tolerated with few severe late effects. Increasing Gleason score, lymphovascular invasion and lack of a complete response to SRT are significant risks for disease progression requiring additional management.

Aged↗
PubMed2005

On analyzing circadian rhythms data using nonlinear mixed models with harmonic terms.

Wang, Ke, and Brown (2003, Biometrics59, 804-812) developed a smoothing-based approach for modeling circadian rhythms with random effects. Their approach is flexible in that fixed and random covariates can affect both the amplitude and phase shift of a nonparametrically smoothed periodic function. In motivating their approach, Wang et al. stated that a simple sinusoidal function is too restrictive. In addition, they stated that "although adding harmonics can improve the fit, it is difficult to decide how many harmonics to include in the model, and the results are difficult to interpret." We disagree with the notion that harmonic models cannot be a useful tool in modeling longitudinal circadian rhythm data. In this note, we show how nonlinear mixed models with harmonic terms allow for a simple and flexible alternative to Wang et al.'s approach. We show how to choose the number of harmonics using penalized likelihood to flexibly model circadian rhythms and to estimate the effect of covariates on the rhythms. We fit harmonic models to the cortisol circadian rhythm data presented by Wang et al. to illustrate our approach. Furthermore, we evaluate the properties of our procedure with a small simulation study. The proposed parametric approach provides an alternative to Wang et al.'s semiparametric approach and has the added advantage of being easy to implement in most statistical software packages.

Circadian Rhythm↗