Mutual Information for Testing Gene-Environment Interaction

Despite current enthusiasm for investigation of gene-gene interactions and gene-environment interactions, the essential issue of how to define and detect gene-environment interactions remains unresolved. In this report, we define gene-environment interactions as a stochastic dependence in the context of the effects of the genetic and environmental risk factors on the cause of phenotypic variation among individuals. We use mutual information that is widely used in communication and complex system analysis to measure gene-environment interactions. We investigate how gene-environment interactions generate the large difference in the information measure of gene-environment interactions between the general population and a diseased population, which motives us to develop mutual information-based statistics for testing gene-environment interactions. We validated the null distribution and calculated the type 1 error rates for the mutual information-based statistics to test gene-environment interactions using extensive simulation studies. We found that the new test statistics were more powerful than the traditional logistic regression under several disease models. Finally, in order to further evaluate the performance of our new method, we applied the mutual information-based statistics to three real examples. Our results showed that P-values for the mutual information-based statistics were much smaller than that obtained by other approaches including logistic regression models.

Symmetric inverse consistent nonlinear registration driven by mutual information.

A nonlinear viscoelastic image registration algorithm based on the demons paradigm and incorporating inverse consistent constraint (ICC) is implemented. An inverse consistent and symmetric cost function using mutual information (MI) as a similarity measure is employed. The cost function also includes regularization of transformation and inverse consistent error (ICE). The uncertainties in balancing various terms in the cost function are avoided by alternatively minimizing the similarity measure, the regularization of the transformation, and the ICE terms. The diffeomorphism of registration for preventing folding and/or tearing in the deformation is achieved by the composition scheme. The quality of image registration is first demonstrated by constructing brain atlas from 20 adult brains (age range 30-60). It is shown that with this registration technique: (1) the Jacobian determinant is positive for all voxels and (2) the average ICE is around 0.004 voxels with a maximum value below 0.1 voxels. Further, the deformation-based segmentation on Internet Brain Segmentation Repository, a publicly available dataset, has yielded high Dice similarity index (DSI) of 94.7% for the cerebellum and 74.7% for the hippocampus, attesting to the quality of our registration method.

Umriss der Entwicklungsgeschichte des jüdischen Rechts. Die Natur der Obligation

Leopold Auerbach

Reactive Co-Radicalization: Religious Extremism as Mutual Dicontent

Extremist rhetoric and behaviour, including violence, emanating from those fearing and opposed to Islamic extremism—and typically generalising that to Islam or Muslims—is undeniable. Equally, there is evidence of Muslim rhetoric that fires up fears of a threatening West and antipathy to religious ‘others’ as damned infidels, including Christians and Jews who are otherwise regarded as co-religionists—as ‘peoples of the Book’. Mutual discontent and antipathy abound. On the one hand, Islamic extremism provokes a reactionary extremism from parts, at least, of the non-Muslim world; on the other hand, Muslim extremism appears often in response to the perception of an aggressive and impositional colonising non-Muslim world. ‘Reactive Co-Radicalization’, I suggest, names this mutual rejection and exclusionary circle currently evident, in particular, with respect to many Muslim and non-Muslim communities. This article discusses reactive co-radicalization as a hermeneutical perspective on religious extremism with particular reference to two European cases.

The Framework of Trade in the Council for Mutual Economic Assistance

This paper establishes an overview of the variables and constraints that affected trade in the Council for Mutual Economic Assistance. It explores the origins of COMECON, the demographic and resource distribution of the member nations, and the role of trade in a centrally planned economy. The paper’s primary focus is on the emergence of a bilateral trade structure, the faulty price mechanism, and the nonconvertibility of currencies. The paper documents the origins and relationships between the constraints of trade within COMECON, and argues that ultimately, these constraints prevented COMECON from fully achieving its economic objectives.

Psychological inquiries : in an series of essays, intended to illustrate the mutual relations of the physical organization and the mental faculties

by Sir Benjamin C. Brodie

La mutual en la legislación argentina

Fil: Zavala, Armando.

Mutual Coupling Reduction Techniques in Electronic Steering Antennas in X Band

This work provides the development of an antenna for satellite communications onboard systems based on the recommendations ITU-R S.580-6 [1] and ITU-R S.465-5 [2]. The antenna consists of printed elements grouped in an array, working in a frequency band from 7.25 up to 8.4 GHz (15% of bandwidth). In this working band, transmission and reception are included simultaneously. The antenna reaches a gain about 31 dBi, has a radiation pattern with a beam width smaller than 10oand dual circular polarization. It has the capability to steer in elevation through a Butler matrix to 45

Automatic Inference of Determinacy and Mutual Exclusion for Logic Programs Using Mode and Type Analyses

We propose an analysis for detecting procedures and goals that are deterministic (i.e., that produce at most one solution at most once),or predicates whose clause tests are mutually exclusive (which implies that at most one of their clauses will succeed) even if they are not deterministic. The analysis takes advantage of the pruning operator in order to improve the detection of mutual exclusion and determinacy. It also supports arithmetic equations and disequations, as well as equations and disequations on terms,for which we give a complete satisfiability testing algorithm, w.r.t. available type information. Information about determinacy can be used for program debugging and optimization, resource consumption and granularity control, abstraction carrying code, etc. We have implemented the analysis and integrated it in the CiaoPP system, which also infers automatically the mode and type information that our analysis takes as input. Experiments performed on this implementation show that the analysis is fairly accurate and efficient.