On the use of comparison regions in visualizing stochastic uncertainty in some two-parameter estimation problems

When considering simultaneous inference for two parameters, it is very common to visualize stochastic uncertainty by plotting two-dimensional confidence regions. This allows us to test post hoc null hypotheses about a single point in a simple manner. However, in some applications the interest is not in rejecting hypotheses on single points, but in demonstrating evidence for the two parameters to be in a convex subset of the parameter space. The specific convex subset to be considered may vary from one post hoc analysis to another. Then it is of interest to have a visualization allowing to perform corresponding analyses. We suggest comparison regions as a simple tool for this task.     

On the limitations of standard statistical modeling in biological systems: A full Bayesian approach for biology

One of the most important scientific challenges today is the quantitative and predictive understanding of biological function. Classical mathematical and computational approaches have been enormously successful in modeling inert matter, but they may be inadequate to address inherent features of biological systems. We address the conceptual and methodological obstacles that lie in the inverse problem in biological systems modeling. We introduce a full Bayesian approach (FBA), a theoretical framework to study biological function, in which probability distributions are conditional on biophysical information that physically resides in the biological system that is studied by the scientist.     

The function and structural influence of selective relaxed constraint at functional intracellular loop3 of 5-HT1A serotonin-1 receptor family

Serotonin (5-HT) and its receptors have been involved in critical signal transduction mechanism and deregulation implicated in mood-related disorders. 5-HT activities are mediated through a family of transmembrane spanning serotonin receptors. Both within the family and species, 5-HT receptor protein sequence diversity and 7-transmembrane structural homogeneity have long been intriguing. In this study, we have analyzed the codon site constraint in 5-HT1 subclass receptors from 13 orthologous mammalian mRNA coding sequence. Further, the study was extended to computationally investigate the impact of non-synonymous sites with respect to function and structural significance through sequence homology algorithm and molecular dynamics simulation (MDS). Codon sites with significant posterior probability were observed in 5-HT_1A, 5‐HT_1B and 5-HT_1D receptor indicating variations in site constraint within the 5‐HT1 sub-class genes. In 5-HT_1A receptor, seven sites were detected at the functional intracellular loop₃ (ICL₃) with higher substitution rate through Codeml program. Sequence homology algorithm identifies that these sites were functionally tolerant within the mammals representing a selectively relaxed constraint at this domain. On the other hand, the root mean square deviation (rmsd) values from MDS suggest differences in structural conformation of ICL₃ models among the species. Specifically, the human ICL₃ model fluctuation was comparatively more stable than other species. Hence, we argue that these sites may have varying influence in G-proteins coupling and activation of effectors systems through downstream interacting accessory proteins of cell among the species. However, further experimental studies are required to elucidate the precise role and the seeming difference of these sites in 5-HT receptors between species.