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General Approach to Coupled Reactive Smoluchowski Equations: Integration and Application of Discrete Variable Representation and Generalized Coordinate Methods to Diffusive Problems.

ABSTRACT: A new and more general approach to diffusion problems with the inclusion of reactivity among different coupled diffusional states is rationalized and presented. The integration of our previous developments in such a field [Phys. Chem. Chem. Phys., 2015, 17, 17362-17374; J. Chem. Theory Comput., 2016, 12, 3482-3490] are implemented in a software package tool allowing the generic user to set up and run diffusional calculations with very low efforts. We show the applicability of the whole framework to a generic diffusional case of chemical interest that is the study case of (N,N-dimethylamino)benzonitrile (DMABN) fluorescence, whose excited state undergoes twisted intramolecular charge transfer (TICT) relaxation. The population dynamics of the excited state coupled to the ground state is followed, and a fluorescence decay spectrum is calculated. The theoretical and numerical background here presented is robust and general enough to complement a wide number of diffusional problems of current interest.

SUBMITTER: Piserchia A

PROVIDER: S-EPMC5889103 | biostudies-literature | 2017 Dec

REPOSITORIES: biostudies-literature

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General Approach to Coupled Reactive Smoluchowski Equations: Integration and Application of Discrete Variable Representation and Generalized Coordinate Methods to Diffusive Problems.

Piserchia Andrea A Banerjee Shiladitya S Barone Vincenzo V

Journal of chemical theory and computation 20171113 12

A new and more general approach to diffusion problems with the inclusion of reactivity among different coupled diffusional states is rationalized and presented. The integration of our previous developments in such a field [Phys. Chem. Chem. Phys., 2015, 17, 17362-17374; J. Chem. Theory Comput., 2016, 12, 3482-3490] are implemented in a software package tool allowing the generic user to set up and run diffusional calculations with very low efforts. We show the applicability of the whole framework ...[more]

PMID: 29091430

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Project description:Sexual selection is an intense evolutionary force, which operates through competition for the access to breeding resources. There are many cases where male copulatory success is highly asymmetric, and few males are able to sire most females. Two main hypotheses were proposed to explain this asymmetry: "female choice" and "male dominance". The literature reports contrasting results. This variability may reflect actual differences among studied populations, but it may also be generated by methodological differences and statistical shortcomings in data analysis. A review of the statistical methods used so far in lek studies, shows a prevalence of Linear Models (LM) and Generalized Linear Models (GLM) which may be affected by problems in inferring cause-effect relationships; multi-collinearity among explanatory variables and erroneous handling of non-normal and non-continuous distributions of the response variable. In lek breeding, selective pressure is maximal, because large numbers of males and females congregate in small arenas. We used a dataset on lekking fallow deer (Dama dama), to contrast the methods and procedures employed so far, and we propose a novel approach based on Generalized Structural Equations Models (GSEMs). GSEMs combine the power and flexibility of both SEM and GLM in a unified modeling framework. We showed that LMs fail to identify several important predictors of male copulatory success and yields very imprecise parameter estimates. Minor variations in data transformation yield wide changes in results and the method appears unreliable. GLMs improved the analysis, but GSEMs provided better results, because the use of latent variables decreases the impact of measurement errors. Using GSEMs, we were able to test contrasting hypotheses and calculate both direct and indirect effects, and we reached a high precision of the estimates, which implies a high predictive ability. In synthesis, we recommend the use of GSEMs in studies on lekking behaviour, and we provide guidelines to implement these models.

Dataset Information

General Approach to Coupled Reactive Smoluchowski Equations: Integration and Application of Discrete Variable Representation and Generalized Coordinate Methods to Diffusive Problems.

Publications

General Approach to Coupled Reactive Smoluchowski Equations: Integration and Application of Discrete Variable Representation and Generalized Coordinate Methods to Diffusive Problems.

Similar Datasets

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