Результаты поиска по 'resolvent function':
Найдено статей: 12
  1. Zhmurov A.A., Alekseenko A.E., Barsegov V.A., Kononova O.G., Kholodov Y.A.
    Phase transition from α-helices to β-sheets in supercoils of fibrillar proteins
    Computer Research and Modeling, 2013, v. 5, no. 4, pp. 705-725

    The transition from α-helices to β-strands under external mechanical force in fibrin molecule containing coiled-coils is studied and free energy landscape is resolved. The detailed theoretical modeling of each stage of coiled-coils fragment pulling process was performed. The plots of force (F) as a function of molecule expansion (X) for two symmetrical fibrin coiled-coils (each ∼17 nm in length) show three distinct modes of mechanical behaviour: (1) linear (elastic) mode when coiled-coils behave like entropic springs (F<100−125 pN and X<7−8 nm), (2) viscous (plastic) mode when molecule resistance force does not increase with increase in elongation length (F≈150 pN and X≈10−35 nm) and (3) nonlinear mode (F>175−200 pN and X>40−50 nm). In linear mode the coiled-coils unwind at 2π radian angle, but no structural transition occurs. Viscous mode is characterized by the phase transition from the triple α-spirals to three-stranded parallel β-sheet. The critical tension of α-helices is 0.25 nm per turn, and the characteristic energy change is equal to 4.9 kcal/mol. Changes in internal energy Δu, entropy Δs and force capacity cf per one helical turn for phase transition were also computed. The observed dynamic behavior of α-helices and phase transition from α-helices to β-sheets under tension might represent a universal mechanism of regulation of fibrillar protein structures subject to mechanical stresses due to biological forces.

    Keywords: phase transition from α-helices to β-sheets, thermodynamics of transition from α-helices to β-sheets, molecular modeling, fibrinogen, fibrin fibers, Molecular Dynamics, GPU.
    Views (last year): 6. Citations: 1 (RSCI).
  2. Degtyarev A.B., Yezhakova T.R., Khramushin V.N.
    Algorithmic construction of explicit numerical schemes and visualization of objects and processes in the computational experiment in fluid mechanics
    Computer Research and Modeling, 2015, v. 7, no. 3, pp. 767-774

    The paper discusses the design and verification stages in the development of complex numerical algorithms to create direct computational experiments in fluid mechanics. The modeling of physical fields and nonstationary processes of continuum mechanics, it is desirable to rely on strict rules of construction the numerical objects and related computational algorithms. Synthesis of adaptive the numerical objects and effective arithmetic- logic operations can serve to optimize the whole computing tasks, provided strict following and compliance with the original of the laws of fluid mechanics. The possibility of using ternary logic enables to resolve some contradictions of functional and declarative programming in the implementation of purely applied problems of mechanics. Similar design decisions lead to new numerical schemes tensor mathematics to help optimize effectiveness and validate correctness the simulation results. The most important consequence is the possibility of using interactive graphical techniques for the visualization of intermediate results of modeling, as well as managed to influence the course of computing experiment under the supervision of engineers aerohydrodynamics– researchers.

    Keywords: tensor mathematics, large particles, fluidmechanics, computational experiment, design, verifying Citation:.
    Views (last year): 1.
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