Optimal growth strategies when mortality and production rates are size-dependent

Pontryagin's maximum principle from optimal control theory is used to find the optimal allocation of energy between growth and reproduction when lifespan may be finite and the trade-off between growth and reproduction is linear. Analyses of the optimal allocation problem to date have generally yielded bang-bang solutions, i.e. determinate growth: life-histories in which growth is followed by reproduction, with no intermediate phase of simultaneous reproduction and growth. Here we show that an intermediate strategy (indeterminate growth) can be selected for if the rates of production and mortality either both increase or both decrease with increasing body size, this arises as a singular solution to the problem. Our conclusion is that indeterminate growth is optimal in more cases than was previously realized. The relevance of our results to natural situations is discussed.

Polypharmacy as predictor of drug cost, length of hospital stay and mortality rate in nursing homes : a retrospective analysis of pharmacy medication records

Background and objectives: Polypharmacy (PP) is a typical con-sequence of multiple chronic conditions in elderly patients. PP is commonly defined as the use of multiple concurrent drug therapies although a standard definition is not used. The aims of this study were to assess the PP rate among nursing home (NH) residents using the data of the pharmacy medication records and to investigate the threshold level of PP as predictor of drug cost, length of hospital stay and mortality rate

Soziale Unterschiede in der vor- und nachgeburtlichen Sterblichkeit: Schweiz 1979-1985. [Social differences in the prenatal and postnatal mortality: Switzerland 1979-1985].

The influence of social factors on birthweight and fetal and infant mortality was investigated in the Swiss birth cohort from 1979-85 (N = 519,933). The proportion of newborns with low-birthweight (less than 2500 g) was higher in lower social classes. Stillbirth-rate, neonatal and postneonatal mortality were higher in lower social classes, too. When controlling for birthweight, the increase in mortality in the lower social classes became somewhat less striking. Marked social differences in perinatal mortality were found in the newborns with normal weight, whereas almost no difference could be detected in the low-birthweight-group.

Effects of age, birth cohort and period of death on Swiss cancer mortality, 1951-1984.

Swiss death certification data over the period 1951-1984 for total cancer mortality and 30 major cancer sites in the population aged 25 to 74 years were analysed using a log-linear Poisson model with arbitrary constraints on the parameters to isolate the effects of birth cohort, calendar period of death and age. The overall pattern of total cancer mortality in males was stable for period values and showed some moderate decreases in cohort values restricted to the generations born after 1930. Cancer mortality trends were more favourable in females, with steady, though moderate, declines in both cohort and period values. According to the estimates from the model, the worst affected generation for male lung cancer was that born around 1910, and a flattening of trends or some moderate decline was observed for more recent cohorts, although this decline was considerably more limited than in other European countries. There were decreases in cohort and period values for stomach, intestine and oesophageal cancer in both sexes and (cervix) uteri in females. Increases were observed in both cohort and period trends for pancreas and liver in males and for several other neoplasms, including prostate, brain, leukaemias and lymphomas, restricted, however, for the latter sites, to the earlier cohorts and hence partly attributable to improved diagnosis and certification in the elderly. Although age values for lung cancer in females were around 10-times lower than in males, upward trends in female lung cancer cohort values were observed in subsequent cohorts and for period values from the late 1960's onwards. Therefore, future trends in female lung cancer mortality should continue to be monitored. The application of these age/period/cohort models thus provides a summary guide for the reading and interpretation of cancer mortality trends, although it cannot replace careful inspection of single age-specific rates.

Breast-conserving surgery for non-palpable breast cancer: relationship of lumpectomy resection margins measurements between remote perioperative ultrasound and postoperative histopathology

Purpose: Tumour-free resection margins (RMs) are mandatory in breast-conserving surgery. On-site intraoperative ultrasound (US)-guided tumour resection with extemporaneous histopathological assessment of RMs has been described. Remote intraoperative US assessment of RMs is an alternative. The purpose of this study was to evaluate the relationship of lumpectomy RMs measurements between remote intraoperative US and postoperative histopathology.Methods and Materials: In a retrospective IRB-approved review of 100 consecutive lumpectomies performed between October 2009 and April 2011 for presumed non-palpable breast cancer, 71 women (mean age 63.8years) were included. Twenty-nine patients were excluded because of absence of cancer at histopathology and/or incomplete data. Measurements of lumpectomy minimal RMs and tumour maximal diameter obtained on remote intraoperative US and postoperative histopathology were compared.Results: Minimal RMs were 0.35±0.32 (mean±SD) and 0.35±0.32cm on remote intraoperative US and postoperative histopathology, respectively. No significant difference was found between these measurements (p=0.37). Tumour maximal diameter was 1.02±0.51 (mean±SD) and 1.33±0.74cm on remote intraoperative US and postoperative histopathology, respectively. US measurements were significantly smaller (p<0.001). The 71 breast carcinoma (CA) consisted of: invasive canalar (n=49), invasive lobular (n=11), in situ (n=3) and other types of CA (n=8). Twenty-nine patients had intraoperative re-excision (24 without residual CA), while 16 patients were re-operated due to insufficient histopathological RMs (12 without residual CA).Conclusion: Good correlation of minimal RMs between remote intraoperative US and postoperative histopathology warrants use of both techniques in a complementary manner. Remote intraoperative US is helpful in taking rapid decision of re-excision and maintaining low re-operation rate after breast-conserving surgery for non-palpable cancer.

Cancer mortality in Europe, 2005-2009, and an overview of trends since 1980.

BACKGROUND: After a peak in the late 1980s, cancer mortality in Europe has declined by ∼10% in both sexes up to the early 2000s. We provide an up-to-date picture of patterns and trends in mortality from major cancers in Europe. METHODS: We analyzed cancer mortality data from the World Health Organization for 25 cancer sites and 34 European countries (plus the European Union, EU) in 2005-2009. We computed age-standardized rates (per 100 000 person-years) using the world standard population and provided an overview of trends since 1980 for major European countries, using joinpoint regression. RESULTS: Cancer mortality in the EU steadily declined since the late 1980s, with reductions by 1.6% per year in 2002-2009 in men and 1% per year in 1993-2009 in women. In western Europe, rates steadily declined over the last two decades for stomach and colorectal cancer, Hodgkin lymphoma, and leukemias in both sexes, breast and (cervix) uterine cancer in women, and testicular cancer in men. In central/eastern Europe, mortality from major cancer sites has been increasing up to the late 1990s/early 2000s. In most Europe, rates have been increasing for lung cancer in women and for pancreatic cancer and soft tissue sarcomas in both sexes, while they have started to decline over recent years for multiple myeloma. In 2005-2009, there was still an over twofold difference between the highest male cancer mortality in Hungary (235.2/100 000) and the lowest one in Sweden (112.9/100 000), and a 1.7-fold one in women (from 124.4 in Denmark to 71.0/100 000 in Spain). CONCLUSIONS: With the major exceptions of female lung cancer and pancreatic cancer in both sexes, in the last quinquennium, cancer mortality has moderately but steadily declined across Europe. However, substantial differences across countries persist, requiring targeted interventions on risk factor control, early diagnosis, and improved management and pharmacological treatment for selected cancer sites.

The epidemiologic transition to chronic diseases in developing countries: cardiovascular mortality, morbidity, and risk factors in Seychelles (Indian Ocean).

The occurrence of cardiovascular diseases (CVD) and related risk factors was evaluated in Seychelles, a middle level income country, as accumulating evidence supports increasing rates of CVD in developing countries. CVD mortality was obtained from vital statistics for two periods, 1984-5 and 1991-3. CVD morbidity was estimated by retrospective review of discharge diagnoses for all admissions to medical wards in 1990-1992. Levels of CVD risk factors in the population were assessed in 1989 through a population-based survey. In 1991-93, standardized mortality rates were in males and females respectively, 80.9 and 38.8 for cerebrovascular disease and 92.9 and 47.0 for ischemic heart disease. CVD accounted for 25.2% of all admissions to medical wards. Among the general population aged 35-64, 30% had high blood pressure, 52% of males smoked, and 28% of females were obese. These findings substantiate the current health transition to CVD in Seychelles. More generally, epidemiologic data on CVD mortality, morbidity, and related risk factors, as well as similar indicators for other chronic diseases, should more consistently appear in national and international reports of human development to help emphasize, in the health policy making scene, the current transition to chronic diseases in developing countries and the subsequent need for appropriate control and prevention programs.

Worldwide trends in gastric cancer mortality (1980-2011), with predictions to 2015, and incidence by subtype.

Gastric cancer incidence and mortality decreased substantially over the last decades in most countries worldwide, with differences in the trends and distribution of the main topographies across regions. To monitor recent mortality trends (1980-2011) and to compute short-term predictions (2015) of gastric cancer mortality in selected countries worldwide, we analysed mortality data provided by the World Health Organization. We also analysed incidence of cardia and non-cardia cancers using data from Cancer Incidence in Five Continents (2003-2007). The joinpoint regression over the most recent calendar periods gave estimated annual percent changes (EAPC) around -3% for the European Union (EU) and major European countries, as well as in Japan and Korea, and around -2% in North America and major Latin American countries. In the United States of America (USA), EU and other major countries worldwide, the EAPC, however, were lower than in previous years. The predictions for 2015 show that a levelling off of rates is expected in the USA and a few other countries. The relative contribution of cardia and non-cardia gastric cancers to the overall number of cases varies widely, with a generally higher proportion of cardia cancers in countries with lower gastric cancer incidence and mortality rates (e.g. the USA, Canada and Denmark). Despite the favourable mortality trends worldwide, in some countries the declines are becoming less marked. There still is the need to control Helicobacter pylori infection and other risk factors, as well as to improve diagnosis and management, to further reduce the burden of gastric cancer.

A comparison of trends in mortality from primary liver cancer and intrahepatic cholangiocarcinoma in Europe.

BACKGROUND: To update and compare mortality from primary liver cancer (PLC) and intrahepatic cholangiocarcinoma (ICC) in Europe in 1990-2010. MATERIALS AND METHODS: We used data from the World Health Organization (WHO) to compute age-standardized (world population) mortality rates, and used joinpoint analysis to identify substantial changes. RESULTS: Between 2002 and 2007, PLC rates in the European Union (EU) declined from 3.9 to 3.6/100,000 men. Around 2007, the highest male rates were in France (6.2/100,000), Spain (4.9), and Italy (4.0), while the lowest ones were in Sweden (1.1), the Netherlands (1.2), and the UK (1.8). In women, mortality was lower (0.8/100,000 in 2007 in the EU), and showed more favourable trends, with a decline of over 2% per year over the last two decades as compared with 0.4% in men, in the EU. In contrast, the EU mortality from ICC increased by around 9% in both sexes from 1990 to 2008, reaching rates of 1.1/100,000 men and 0.75/100,000 women. The highest rates were in UK, Germany, and France (1.2-1.5/100,000 men, 0.8-1.1/100,000 women). CONCLUSIONS: PLC mortality has become more uniform across Europe over recent years, with an overall decline; in contrast, ICC mortality has substantially increased in most Europe.

Incidence and mortality from non-Hodgkin lymphoma in Europe: the end of an epidemic?

Non-Hodgkin lymphomas (NHL) are among the few neoplasms whose incidence and mortality have been rising in Europe and North America over the last few decades. To update trends from NHL, we considered mortality data up to 2004 in several European countries, and for comparative purpose in the USA and Japan. We also analyzed patterns in incidence for selected European countries providing national data. In most European countries, NHL mortality rose up to the mid 1990s, and started to level off or decline in the following decade. The rates were, however, still increasing in eastern Europe. Overall, in the European Union, mortality from NHL declined from 4.3/100,000 to 4.1 in men and from 2.7 to 2.5 in women between the late 1990s and the early 2000s. Similarly, NHL mortality rates declined from 6.5/100,000 to 5.5 in US men and from 4.2 to 3.5 in US women. In most countries considered, NHL incidence rates rose up to 1995-99, while they tended to level off or decline thereafter, with particular favorable patterns in countries from northern Europe. Thus, the epidemic of NHL observed during the second half of the 20th century has now started to level off in Europe as in other developed areas of the world.