2型糖尿病骨密度与冠状动脉钙化积分相关性研究

目的:探讨2型糖尿病患者冠脉钙化积分与骨密度的关系。方法:入选在2015年6月至2017年6月我科住院的2型糖尿病患者98例,按照性别以及糖化血红蛋白8%、低密度脂蛋白2.6 mmol/L、身高体重指数24 kg/m2为切点分为两组,进行冠脉动脉CT检查,计算冠脉动脉总钙化积分,依照钙化积分等于0为阴性组,大于0为阳性组。同时检测患者的骨密度、骨代谢指标、血钙、血磷等水平。比较冠脉钙化积分和骨代谢指标及骨密度的相关性。结果:1)男性患者中:阳性组糖化血红蛋白和颈部血管斑块形成明显高于阴性组,差异有统计学意义。女性患者中:阳性组年龄、颈部血管内膜厚度、高血压病史明显高于阴性组,差异有统计学意义。2)阳性、阴性两组之间骨代谢指标差异无统计学意义。3)男性患者中:阳性组腰椎骨密度明显高于阴性组,差异有统计学意义。女性患者中阳性组的腰椎骨密度明显低于阴性组,差异有统计学意义,在控制混杂因素以后,两组间差异无统计学意义。4)分别在男性和女性患者中按照年龄为60岁分为两组,两组间阳性组与阴性组的骨代谢指标及骨密度差异无统计学意义。结论:在2型糖尿病患者中,冠脉钙化积分和骨代谢以及骨密度之间无明显相关性。     

One-year spinal bone change in pre- and perimenopausal Japanese women. A prospective observational study

BACKGROUND: This prospective observational study was designed to determine whether the bone mineral density (BMD) of the lumbar spine decreases before menopause. METHODS: The change in BMD of the second through fourth lumbar vertebrae (delta%L2-4BMD) over the course of 12 months was measured in 197 pre- and perimenopausal Japanese women aged 48.2 +/- 2.3 (mean +/- SD) years. RESULTS: Overall, delta%L2-4BMD decreased significantly, with a greater decrease seen in perimenopausal women. This group also had a significantly higher level of FSH (p < 0.05, t = 7.356), a significantly lower level of estradiol (p < 0.05, t = 4.245), and significantly higher levels of the bone metabolic markers, alkaline phosphatase (p < 0.05, t = 3.841), calcium (p < 0.05, t = 3.939), and osteocalcin (p < 0.05, t = -3.295). Overall, there was a significant positive correlation between osteocalcin and delta%L2-4BMD (r = -0.194, p = 0.0479). CONCLUSION: A subset of perimenopausal women with transient decreases in ovarian function that do not respond to increased FSH may be at increased risk for abnormally low BMD, and may benefit from early management of bone mass.     

Metabolic risk-factor clustering estimation in obese children

The purpose of this study was to apply the new approach for Metabolic Individual Risk-factor And Clustering Estimation (MIRACLE) score in a group of Spanish obese children and adolescents and to describe its relationship with other metabolic risk factors. 153 children with simple obesity were studied: 79 males and 74 females, mean age 11.2 +/- 2.2. Obesity was defined when BMI was higher than the age and sex specific equivalent to 30 kg/m2 in adults. MIRACLE score included: family history (early cardiovascular disease, type 2 diabetes, and hypertension), individual history (small for gestational age and ethnic origin), clinical features (BMI, waist circumference > 90th percentile and blood pressure > 95th percentile) and metabolic abnormalities (glucose intolerance or type 2 diabetes). It was assigned a value of 1 to "presence" and 0 to" absence" in every patient. The children were considered as having metabolic risk when at least 5 items were present. Triglycerides, HDL-cholesterol, apolipoprotein B, apolipoprotein A1, glucose and HOMA index, were measured too. The most frequent clinical features of MIRACLE score were: excess waist circumference (95.4%) and hypertension (41.8%). Family history criteria were frequent (55.3% for type 2 diabetes, 39.1% for hypertension and 31.3% for early cardiovascular disease). Individual risk factors were not frequent. Glucose intolerance was detected in 22.2% of the obese patients. A MIRACLE score > or = 5 was found in 37.4% of the children studied, being associated with a significant risk of dyslipidemia (triglycerides, p = 0.040; HDL-cholesterol, p = 0.006; LDL-cholesterol p = 0.038; apolipoprotein B, p = 0.008) only in females. In conclusion, the MIRACLE score is useful in order to detect metabolic risk in obese children but it seems necessary to improve the score, by including other features of the metabolic syndrome like lipid profile or indirect indicators of insulin resistance.     

Dependency of the metabolic effect of sc-injected human regular insulin on intra-abdominal fat in patients with type 2 diabetes.

Ten patients with type 2 diabetes were enrolled in an isoglycemic glucose clamp study to determine the impact of intra-abdominal fat, subcutaneous abdominal fat and total abdominal fat on the metabolic effect of a single bolus (0.2 IU/kg) of sc-injected human regular insulin. The maximum metabolic effect associated highly and negatively with intra-abdominal fat (r = - 0.72, p < 0.02) and with the homeostasis model assessment insulin resistance score (HOMA, r = - 0.71, p < 0.03). Likewise, the total metabolic effect of sc-injected insulin correlated strongly and negatively with intra-abdominal fat (r = - 0.77, p < 0.01), HOMA (r = - 0.74, p < 0.02) and HbA (1c) (r = - 0.70, p < 0.03). Stepwise multiple regression analyses showed that the highest metabolic effect was only significantly predicted by intra-abdominal fat, indicating a high negative correlation with the maximum effect (beta = - 0.72) whereas time to maximum metabolic effect showed a strong (beta = 0.72) and positive correlation with HOMA. In combination with the HOMA, it is intra-abdominal fat, and not subcutaneous abdominal fat, which explains 50 - 75 % of the variability of the effect of sc human regular insulin in patients with type 2 diabetes.     

Blood pressure and blood lipids in normotensive patients with diabetes mellitus type I with microalbuminuria]

The study involved 50 normotensive men (means age = 34 years) with diabetes mellitus type I (mean duration of the disease 14 years). Group I included 29 patients with normal albumin excretion with the urine (UAE below 30 mg daily), and group II-21 patients with microalbuminuria (UAE 30-300 mg daily). Both groups were similar in relation to the age and duration of diabetes mellitus. Blood cholesterol was significantly higher in patients of group II than in patients of group I (p = 0.02) similarly to blood triglycerides levels (p = 0.01). Mean arterial pressure was lower in patients of group I than that in patients of group II (94.3 +/- 7.0 vs 99.1 +/- 6.0 mm Hg; p = 0.01). HbA1c was positively correlated with blood cholesterol (p = 0.01) and blood triglycerides levels (p = 0.05).     

Could vagus nerve stimulation influence bone remodeling?

Objectives:To investigate the effect of vagus nerve stimulation (VNS) on the bone mineral density (BMD) in epileptic patients.Methods:A prospective cohort study was conducted on individuals with refractory seizures who underwent VNS surgery between January 2012 and December 2018. BMD was measured preoperatively and between 6 months and one year after surgery.Results:Twenty-one patients (mean age (±SD)=23.6±12.3 years) were recruited for the implantation of a VNS device. The mean absolute increase in lumbar BMD in the 21 patients was 0.04±0.04 g/cm² resulting in an overall percent increase from baseline of 4.7±6.1%. BMD increased by an amount ≥ the least significant change (LSC) for the lumbar spine in 13 patients (61.9%). The lumbar Z score also increased in these patients from -1.22±1.15 to -0.88±1.22, P=0.006). Pre and Post VNA femoral BMD was measured in only 11 patients and, of those 3 showed a significant increase in BMD, 1 a significant decrease and 7 no change.Conclusion:The implantation of a VNS was associated with an increase in lumbar BMD. This study could lead to a new application for VNS in the treatment of osteoporosis.     

Serum levels of soluble CD30 in adult patients affected by atopic dermatitis and its relation to age,duration of disease and Scoring Atopic Dermatitis index

The value of CD30 and the soluble circulating fragment of CD30 (sCD30) for atopic dermatitis (AD) remains unclear. In particular, little is known about the effects of age, duration of disease and Scoring Atopic Dermatitis index (SCORAD) on the levels of serum sCD30 in patients affected by AD. In the present study, we have analysed serum sCD30 levels of adult patients affected by AD. The study's population includes 18 non-smoking outpatients, with a diagnosis of AD. As a control group we studied 18 non-atopic subjects from laboratory staff, matched for sex and age. These subjects had no history of AD, urticaria or seasonal or perennial rhinitis or asthma, and had negative skin prick test to a panel of allergens. The sCD30 serum levels were clearly higher in patients affected by AD (14.2+/-9.0 IU/ml) than in healthy subjects (1.2+/-0.8 IU/ml) (p<0.001). No differences were observed between males and females affected by atopic dermatitis, regarding age, duration of disease and SCORAD. Significant correlations were found between serum levels of sCD30 levels and age (r=-0.55; 95% confidence interval (CI) for r (Fisher's z transformed)=-0.81 to -0.12; p=0.01), duration of the disease (months) (r=-0.64; 95% CI for r (Fisher's z transformed)=-0.85 to -0.24; p=0.004) and SCORAD (r=-0.74; 95% CI for r (Fisher's z transformed)=-0.89 to -0.42; p=0.004). As demonstrated by the close correlation with age, duration of disease and SCORAD, serum levels of sCD30 appear to be an additional marker for the follow-up of AD.     

Effect of parathyroidectomy on bone mineral density in hemodialysis patients with secondary hyperparathyroidism: possible usefulness of preoperative determination of parathyroid hormone level for prediction of bone regain.

PURPOSE: To examine longitudinal changes of bone mineral density (BMD) after parathyroidectomy (PTx) in patients undergoing maintenance hemodialysis (HD) with severe secondary hyperparathyroidism (HPT) to determine which factor contributes most to bone changes. METHODS: Fifteen Japanese HD patients who had been refractory to medical therapy were subject to PTx with autotransplantation. We measured BMD by dual energy X-ray absorptiometry (DXA) at the lumbar spine (L2 - 4 BMD) and the distal 1/3 region of the radius (1/3R BMD) at 1, 3, 6, 12, 24, and 36 months after PTx. RESULTS: Baseline Z-score of BMD was markedly low at 1/3R (- 3.07) and slightly low at L2 - 4 (-0.59) in this group. A significant increase in L2 - 4 BMD was observed as early as one month after PTx, which was sustained afterwards. Annual percent changes in L2 - 4 and 1/3R BMD were + 15.6 % and + 6.4 %, respectively. The annual percent changes in BMD at both sites were positively associated with preoperative intact PTH levels (L2 - 4; r = 0.642, p = 0.010, 1/3R; r = 0.884, p < 0.001) and total alkaline phosphatase (ALP) levels (L2 - 4; r = 0.663, p = 0.007, 1/3R; r = 0.858, p < 0.001). Stepwise multiple regression analysis revealed that serum levels of intact PTH and ALP were the best predictors of both percentage and net changes in radial BMD with high determination coefficients (r 2 > 0.8). CONCLUSION: Successful PTx following appropriate supplementation with vitamin D and calcium provides a marked increase in lumbar BMD and a modest increase in radial BMD in HD patients with secondary HPT. Preoperative levels of PTH and ALP are useful for predicting postoperative changes in bone mass.     

1型糖尿病患者骨密度的变化及相关因素分析(英文)

目的:观察1型糖尿病患者骨密度(bone mineral density,BMD)的变化及其影响因素。方法:采用双能X线骨密度仪测定108例1型糖尿病患者及106例非糖尿病人群腰椎1至4(L1、L2、L3、L4、、L1-4总体)及左侧髋部(股骨颈、大转子、ward's三角、股骨干及左髋总体)骨密度,同时测定受试者年龄、身高、体重、腰围、臀围,1型糖尿病患者病程、糖化血红蛋白(HbA1c)等指标,利用多元回归分析1型糖尿病患者骨密度的相关因素。结果:L1-4总体BMD和左髋总体BMD与年龄、HbA1c呈负相关,与BMI呈正相关(P0.05);左髋总体BMD与性别有关(P0.05)。结论:1型糖尿病患者BMD低于对照人群,1型糖尿病患者的性别、年龄、BMI、HbA1c水平与BMD关系密切。     

Bone mineralization and physical development of children

A cross-sectional study of BMD and physical development values in children of various age-specific groups was carried out. In all, the study included 357 children (194 boys and 163 girls) aged from 5 to 16 years. The study did not include children with inherited or acquired diseases of the musculoskeletal system, chronic diseases of the liver or kidneys, diabetes, thyrotoxicosis or malabsorption syndrome or professional athletes. BMD values were estimated by dual X-ray absorbtiometry (DXA) of the lumbar part of the spine (L2-L4) using a "DPX-MD+" device equipped with a "child" software program. Out of all the examined children, 58.9% had harmonic physical development, and 13.1% had a decreased body height and body mass. It was revealed that BMC and BMD values in the lumbar part of the spine intensively increased with age. BMC closely correlates with body height (r = 0.8; p < 0.000) and body mass (r = 0.7; p < 0.000). BMD also correlates with anthropometric parameters. The lowest BMC and BMD values and Z-score as well can be found in children with a low body height and body mass (<10th percentile).     

Increased bone mineral density and serum leptin in non-obese girls with precocious pubarche: relation to low birthweight and hyperinsulinism.

BACKGROUND: Hyperinsulinism and hyperandrogenism have the capacity to increase bone mineral density (BMD) and serum leptin, independently of body fat mass. We therefore assessed lumbar BMD and serum leptin in girls with the sequence of a low birthweight and precocious pubarche (PP) in childhood, in whom hyperinsulinism and hyperandrogenism have been described. METHODS: Fifty-two non-obese PP girls were studied (age range 6.9-14.9 years). Serum leptin was also measured in 42 control girls, matched for age, body mass index and pubertal stage. RESULTS: BMD SDS, measured by dual-energy X-ray absorptiometry, was elevated in PP girls compared to the population reference (0.39 +/- 0.18 SDS; p = 0.03) and bone age, assessed from hand radiographs, was significantly advanced compared to chronological age (1.2 +/- 0.1 years; p < 0.0005). CONCLUSION: Compared to control girls, PP girls had higher leptin levels for degree of body mass index (PP girls: 9.4 +/- 0.6 ng/ml; controls: 7.8 +/- 0.6 ng/ml; p = 0.01). In PP girls, serum leptin was inversely related to birthweight (r = -0.32, p = 0.01) and positively related to free androgen index (FAI) (r = 0.71, p < 0.0005). BMD SDS was also inversely related to birthweight (r = -0.26, p < 0.05) and positively related to serum leptin (r = 0.42, p < 0.05), FAI (r = 0.45, p < 0.05) and mean serum insulin during oral glucose tolerance testing (MSI) (r = 0.59, p < 0.0005). In multiple regression, MSI was the strongest determinant of BMD SDS (beta = 0.50, p = 0.002). In conclusion, elevated BMD and serum leptin in non-obese PP girls were related to degrees of low birthweight, hyperinsulinism and hyperandrogenism. The characteristic hyperinsulinism of PP girls is proposed to be the key variable in this constellation.     

Bone mineral density in hypoparathyroid women on LT4 suppressive therapy. Effect of calcium and 1,25(OH)2 vitamin D3 treatment

Our aim was to study the bone mineral density (BMD) of patients with chronic hypoparathyroidism (hypoPTH) after longterm calcium and vitamin D treatment. Twenty hypoPTH women (mean-/+SD, aged 50-/+15 years, IPTH 4-/+6 pg/ml) and 20 matched euparathyroid women (euPTH) after near total thyroidectomy for thyroid cancer, completed with I-131 ablation and on suppressive therapy with L-Thyroxine (LT(4)), were studied. In addition eight hypoPTH patients who were receiving LT(4) replacement therapy after surgery for compressive goiter were simultaneously studied. The hypoPTH patients were on calcium and 1,25(OH)(2) vitamin D(3) therapy to normalize serum calcium. Bone mineral density (BMD) (DXA, at the lumbar spine [L(2)- L(4), LS], femoral neck [FN] and Ward triangle [WT]), serum and urine calcium, serum phosphorus, TOTALALP and osteocalcin were measured. Patients with hypoPTH showed greater lumbar BMD than euPTH patients on suppressive therapy (Z-score; 1.01-/+1.34 vs. -0.52-/+0.70, p<0.05). Serum osteocalcin levels were higher in hypoPTH patients on suppressive therapy compared to hypoPTH patients on replacement therapy. The LS BMD from hypoPTH patients correlated with calcium supplements (r=0.439; p=0.02), 1,25(OH)(2)D(3) dose (r=0.382; p=0.04) and LT(4) dose (r=0.374; p=0.05). Our data suggest that long-term treatment with calcium and 1,25(OH)(2) vitamin D3 supplements in hypoPTH patients on suppressive LT4 therapy results in increased BMD when compared with patients with normal PTH levels.     

Effect of puberty on the relationship between bone markers of turnover and bone mineral density in Turner's syndrome

It has been suggested that the appropriate timing of puberty is necessary for normal bone mineral acquisition which may not be achieved amongst patients with Turner's syndrome (TS). The aim of this study was to assess bone mineral density (BMD) and bone turnover in 34 patients with TS (age range 2.2-39.0 years). The areal BMD (aBMD) was determined by dual-energy X-ray absorptiometry, and the volumetric BMD was calculated. Blood and second voided urine samples were taken the morning after an overnight fast for evaluation of the biochemical markers of bone turnover: bone-specific alkaline phosphatase (BAP) and N-telopeptides of type I collagen (NTX), respectively. Both were determined by enzyme-linked immunosorbent assay. The patients were divided into three groups: group 1 (n = 13; prepubertal; age range 2.2-19.0 years), group 2 (n = 10; teenagers; age range 12.4-19.0 years), and group 3 (n = 11; adults; chronological age >20 years). They were also grouped by breast development according to Tanner stage into B1 (n = 12), B2-3 (n = 9), and B4-5 (n = 13). The aBMD was significantly lower in group 1 and was higher at Tanner stages 4 and 5 as compared with patients at Tanner stage 1. The bone turnover markers were significantly higher in group 1 (NTX: p = 0.002; BAP: p = 0.0005) and declined, as puberty progressed. A negative correlation was observed between aBMD and biochemical bone markers at the lumbar spine (NTX: r = -0.54, p = 0.05; BAP: r = -0.44, p = 0.01) and in the whole body (NTX: r = -0.60, p = 0.0008; BAP: r = -0.19, p = 0.002). We conclude that the negative relationships between aBMD and biochemical markers suggest a high bone turnover, mainly in prepubertal patients and that the results observed in relation to aBMD and puberty are imputed to the delayed puberty which occurs amongst TS patients.     

Antiretroviral Therapy,Especially Efavirenz,Is Associated with Low Bone Mineral Density in HIV-Infected South Africans

Purpose

We determined the prevalence and correlates of low bone mineral density (BMD) in HIV-infected South Africans as there is a paucity of such data from Africa.

Methods

BMD and serum 25-hydroxyvitamin D were measured in HIV-positive participants on antiretroviral therapy (ART) and in those not yet on ART (ART-naïve).

Results

We enrolled 444 participants [median age 35(IQR: 30, 40) years; 77% women]. BMD was low (z score <-2SD) in 17% and 5% of participants at the lumbar spine and total hip, respectively. Total hip [0.909 (SD 0.123) vs 0.956 (SD 0.124) g/cm², p = 0.0001] and neck of femur BMD [0.796 (SD 0.130) vs 0.844 (SD 0.120) g/cm², p = 0.0001] were lower in the ART, compared to the ART-naïve group. Vitamin D deficiency was present in 15% of participants and was associated with efavirenz use [adjusted OR 2.04 (95% CI 1.01 to 4.13)]. In a multivariate linear regression, exposure to efavirenz or lopinavir-based ART was associated with lower total hip BMD, whereas higher weight, being male and higher vitamin D concentration were associated with higher total hip BMD (adjusted R² = 0.28). Age, weight, sex, and the use of efavirenz-based ART were independently associated with lumbar spine BMD (adjusted R² = 0.13).

Conclusions

Vitamin D status, use of efavirenz or lopinavir/ritonavir, weight, age and sex are significantly associated with lower BMD in this young cohort of HIV-infected South Africans.     

Pharmacological PPARgamma stimulation in contrast to beta cell stimulation results in an improvement in adiponectin and proinsulin intact levels and reduces intima media thickness in patients with type 2 diabetes.

The role of intact proinsulin and adiponectin in endothelial dysfunction and insulin resistance has been receiving increasing attention. This study investigates the effect of PPARgamma stimulation or beta-cell stimulation on metabolic and vascular parameters in patients with type 2 diabetes. In our study, 173 type 2 diabetic patients were recruited and randomly assigned to pioglitazone 45 mg or glimepiride 1 - 6 mg treatment. Intima media thickness of the carotid artery, glycemic control, insulin resistance, adiponectin and intact proinsulin levels were assessed at baseline and after six months of treatment. Despite similar improvements in metabolic control (HbA (1c) after 24 weeks: - 0.8 +/- 0.9% [pioglitazone] vs. - 0.6 +/- 0.8% [glimepiride]; mean +/- SD; p < 0.0001, respectively), improvements in intima media thickness (- 0.033 +/- 0.052 mm; p < 0.0001), proinsulin intact (- 5.92 +/- 10.04 pmol/l; p < 0.0001), adiponectin (10.9 +/- 6.3 microg/ml; p < 0.0001) and HOMA score (- 2.21 +/- 3.40; p < 0.0001) were observed by pioglitazone but not glimepiride treatment. Reduction in intima media thickness was correlated with improved insulin sensitivity (r = 0.29; p = 0.0003), and proinsulin intact levels (r = 0.22; p = 0.006), while an inverse correlation was found with adiponectin levels (r = - 0.37; p < 0.0001). Measurement of adiponectin and intact proinsulin enables characterization of the metabolic situation and an estimation of atherosclerotic risk in patients with type 2 diabetes.     

Albuminuria,Disease Duration,and Glycated Hemoglobin Are Related With Bone Mineral Density in Type 1 Diabetes: A Cross-sectional Study

ObjectiveStudies have found a significant decrease in bone mineral density (BMD) in individuals with type 1 diabetes (T1D) compared to healthy controls. Factors associated with this phenomenon have yet to be defined; therefore, this study aimed to explore the association of glycated hemoglobin (HbA1c), disease duration, albuminuria, and glomerular filtration rate with BMD in adults with T1D.MethodsA cross-sectional study was carried out in tertiary care center. BMD analysis was performed by dual x-ray absorptiometry. Linear models were constructed considering variables associated with BMD. Approval from the ethics committees and informed consent were obtained.ResultsWe included 128 participants, of whom 59% were women, and 16% had menopause. The median age was 33 (26-42) years. The average age of diabetes diagnosis was 15.3 ± 6.3 years, and the median disease duration was 19.5 (12-27) years. In the adjusted analysis, higher albuminuria (P < .01) and disease duration (P < .05) were associated with a lower BMD in the femoral neck and total hip, independently of age, sex, and body mass index (BMI). Higher HbA1c (P < .01) was associated with a lower spine BMD after adjustment for age, sex, and BMI.ConclusionStudied factors specific to T1D, including albuminuria, disease duration, and HbA1c have an association with BMD regardless of BMI, age, and sex.     

Evaluation of the results of the treatment of children with insulin-dependent diabetes mellitus fully or partially trained in self care]

The study was aimed at assessing the results of diabetes mellitus therapy in 162 children, who underwent 1) the full programme of diabetes education (114 children) and 2) only the part of it (48 children). The first group was under care of Cracow Medical School Pediatrics Institute since the disease and had 2 weeks of formal diabetes mellitus teaching. The second group was treated in a less unified way in different hospitals and did not have the chance of regular teaching programme. The degree of metabolic control was assessed by series of Hb A1c determinations in whole 1987 year. The levels of Hb A1c were also compared with the children age, diabetes mellitus duration and the period elapsing from the time of last teaching. Children who were fully educated in the problems of their disease achieved significantly better results. In all group a deterioration of diabetes control during puberty was however observed. In children not fully educated such a deterioration was also noted in correlation with diabetes mellitus duration.     

Probability of fixation under weak selection: a branching process unifying approach

We link two-allele population models by Haldane and Fisher with Kimura's diffusion approximations of the Wright-Fisher model, by considering continuous-state branching (CB) processes which are either independent (model I) or conditioned to have constant sum (model II). Recent works by the author allow us to further include logistic density-dependence (model III), which is ubiquitous in ecology. In all models, each allele (mutant or resident) is then characterized by a triple demographic trait: intrinsic growth rate r, reproduction variance sigma and competition sensitivity c. Generally, the fixation probability u of the mutant depends on its initial proportion p, the total initial population size z, and the six demographic traits. Under weak selection, we can linearize u in all models thanks to the same master formula u = p + p(1 - p)[g(r)s(r) + g(sigma)s(sigma) + g(c)s(c)] + o(s(r),s(sigma),s(c), where s(r) = r' - r, s(sigma) = sigma-sigma' and s(c) = c - c' are selection coefficients, and g(r), g(sigma), g(c) are invasibility coefficients (' refers to the mutant traits), which are positive and do not depend on p. In particular, increased reproduction variance is always deleterious. We prove that in all three models g(sigma) = 1/sigma and g(r) = z/sigma for small initial population sizes z. In model II, g(r) = z/sigma for all z, and we display invasion isoclines of the 'mean vs variance' type. A slight departure from the isocline is shown to be more beneficial to alleles with low sigma than with high r. In model III, g(c) increases with z like ln(z)/c, and g(r)(z) converges to a finite limit L > K/sigma, where K = r/c is the carrying capacity. For r > 0 the growth invasibility is above z/sigma when z < K, and below z/sigma when z > K, showing that classical models I and II underestimate the fixation probabilities in growing populations, and overestimate them in declining populations.     

Low bone mineral density in men with chronic obstructive pulmonary disease

Background

Osteoporosis is common in patients with COPD but the likely multi-factorial causes contributing to this condition (e.g. sex, age, smoking, therapy) mask the potential contribution from elements related to COPD. In order to study osteoporosis and bone mineral density (BMD) related to COPD, we studied a well-defined group of patients and controls.

Methods

BMD, forced expiratory volume in one second (FEV₁), circulating bone biomarkers and biochemistry were determined in 30 clinically stable male ex-smokers with confirmed COPD and 15 age matched "ex-smoker" male controls. None of the patients were on inhaled corticosteroids or received more than one short course of steroids.

Results

Mean (SD) FEV₁% predicted of patients was 64(6)%, the majority having Global Initiative for Chronic Obstructive Lung Disease (GOLD) II airflow obstruction. There were 5/30 patients and 1/15 controls who were osteoporotic, while a further 17 patients and 5 controls were osteopenic. The BMD at the hip was lower in patients than controls, but not at the lumbar spine. Mean values of procollagen type 1 amino-terminal propeptide and osteocalcin, both markers of bone formation, and Type 1 collagen β C-telopeptide, a marker of bone resorption, were similar between patients and controls. However, all bone biomarkers were inversely related to hip BMD in patients (r = -0.51, r = -0.67, r = -0.57, p < 0.05) but did not relate to lumbar spine BMD. 25-OH Vitamin D was lower in patients.

Conclusions

Men with COPD had a greater prevalence of osteoporosis and osteopenia than age matched male controls, with a marked difference in BMD at the hip. Bone biomarkers suggest increased bone turnover.