Molecular dynamics simulations in explicit water were carried out for two stacks, each composed of six 10-strand antiparallel β-sheets for two peptides corresponding to the diverging turn of two homologous Abl-SH3 domains. The first system, referred to as 10×6×MK contained the DLSFMKGE sequence from the Drosophila, while the second one, referred to as 10×6×KK, contained the human DLSFKKGE sequence. It was found that the 10×6×MK β-sheet stack is stable, but the 10×6×KK β-sheet stack is not. The stability of the 10×6×MK β-sheet stack results from the hydrophobic interactions of the methionine and phenylalanine residues and the leucine residues of the neighboring sheets. The Met, Phe, and Leu hydrophobic units make a hydrophobic core for the stack of β-sheets. During the MD run, the Met, Phe, and Leu residues of the neighboring β-sheets acted as a conformational switch moving the β-sheets so that the Phe residue interacted with the Met residue from the neighboring β-sheet. Replacement of Met by Lys destroys the hydrophobic core, which is the stability factor of the β-sheet stack. For the 10×6×KK system, individual β-sheets were preserved during simulations, but the interactions between the β-sheets were lost. The calculations of a six β-sheet stack confirm the conclusion drawn from our earlier studies of single β-sheet systems that the β-sheets must form stacks to be stabilized. These results suggest that the two conserved basic residues at the diverging turn of SH3 domains could act as gatekeepers to avoid aggregation.
Abstract-Study process in mathematics faces two major problems. First, engineers do not apply directly the problem solving skills of higher mathematics. Second, studying higher mathematics, students get an insufficient idea of its usability. The authors of the paper have worked out frameworks for practical problem solving in mathematics on the basis of didactic ontology in the Moodle computerized learning system (CMS. To determine students' perceptions on practical problem solving in mathematics in e-environment, more than 300 students from the specialties of engineering at the LUA participated in the survey. The survey results showed many students lack basic knowledge in mathematics, therefore they consume a lot of time to learn the basics in higher mathematics and to acquire the skills of practical problem solving in mathematics are less important.Index Terms-usability of mathematics, e-learning environment students' perception.
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