Assessing interactions for fixed‐dose drug combinations in subcutaneous tumor xenograft studies

Drug combinations in preclinical tumor xenograft studies are often assessed using fixed doses. Assessing the joint action of drug combinations with fixed doses has not been well developed in the literature. Here, an interaction index is proposed for fixed‐dose drug combinations in a subcutaneous tumor xenograft model. Furthermore, a bootstrap percentile interval of the interaction index is also developed. The joint action of two drugs can be assessed on the basis of confidence limits of the interaction index. Tumor xenograft data from actual two‐drug combination studies are analyzed to illustrate the proposed method. Copyright © 2013 John Wiley & Sons, Ltd.     

Some properties of extreme stable laws and related infinitely divisible random variables

In the course of studying the moment sequence {nⁿ:n=0,1,…}$\{n^n:n=0,1,\dots \}$, Eaton et al. [1971. On extreme stable laws and some applications. J. Appl. Probab. 8, 794–801] have shown that this sequence, which is, indeed, the moment sequence of a log-extreme stable law with characteristic exponent γ=1$\gamma =1$, corresponds to a scale mixture of exponential distributions and hence to a distribution with decreasing failure rate. Following essentially the approach of Shanbhag et al. [1977. Some further results in infinite divisibility. Math. Proc. Cambridge Philos. Soc. 82, 289–295] we show that, under certain conditions, log-extreme stable laws with characteristic exponent γ∈[1,2)$\gamma \in [1,2)$ are scale mixtures of exponential distributions and hence are infinitely divisible and have decreasing failure rates. In addition, we study the moment problem associated with the log-extreme stable laws with characteristic exponent γ∈(0,2]$\gamma \in (0,2]$ and throw further light on the existing literature on the subject. As a by-product, we show that generalized Poisson and generalized negative binomial distributions are mixed Poisson distributions. Finally, we address some relevant questions on structural aspects of infinitely divisible distributions, and make new observations, including in particular that certain results appearing in Steutel and van Harn [2004. Infinite Divisibility of Probability Distributions on the Real Line. Marcel Dekker, New York] have links with the Wiener–Hopf factorization met in the theory of random walk.     

CRITICAL PERIODS DURING CHILDHOOD AND ADOLESCENCE

We identify the ages that constitute sensitive (or critical) periods in children's development towards their adult health status, skills, and human capital. For this, we use data on families migrating into Sweden from countries that are poorer, with less healthy conditions. Late‐life health is proxied by adult height and other adult outcomes. The relation between siblings’ ages at migration and their adult outcomes allows us to estimate the causal effect of conditions at specific childhood ages. We effectively exploit that, for siblings, the migration occurs simultaneously in calendar time but at different developmental stages (ages). We find evidence that the period just before the puberty growth spurt constitutes a critical period for adult height and we find related critical periods for adult cognition, mental health, and education.     

A WORLD OF CITIES: THE CAUSES AND CONSEQUENCES OF URBANIZATION IN POORER COUNTRIES

Historically, urban growth required enough development to grow and transport significant agricultural surpluses or a government effective enough to build an empire. But there has been an explosion of poor mega‐cities over the last 30 years. A simple urban model illustrates that in closed economies, agricultural prosperity leads to more urbanization, but that in an open economy, urbanization increases with agricultural desperation. The challenge of developing world mega‐cities is that poverty and weak governance reduce the ability to address the negative externalities that come with density. This paper models the connection between urban size and institutional failure, and shows that urban anonymity causes institutions to break down. For large cities with weak governments, draconian policies may be the only way to curb negative externalities, suggesting a painful trade‐off between dictatorship and disorder. A simple model suggests that private provision of infrastructure to reduce negative externalities is less costly when city populations are low or institutions are strong, but that public provision can cost less in bigger cities.     

颗粒污染源排放浓度和粒径的在线测量技术

大量煤炭的直接燃烧使我国大气呈煤烟型污染,许多城市空气中的总颗粒悬浮物(TSP)指标长期居高不下,不仅影响到人民群众的身体健康,还一定程度上制约了我国国民经济的可持续发展. 近年来,我国政府颁布实施了“污染物排放总量控制”的战略方针,但已有的环保检测方法无法满足这一形势发展的需要. 光散射法无需抽气取样,可以连续地进行在线测量,并直接给出以mg/m3计的烟尘浓度以及颗粒的平均粒径大小,为每个污染源排放总量的测量创造了前提条件.