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Related Concept Videos

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The living membranes are flexible due to their fluid mosaic nature; however, their bending into different shapes is an active process regulated by specific lipids and proteins. The membrane bending can be transient as seen in vesicles or stable for a long time as in microvilli. Cells regulate the size, location, and duration of the membrane curvature.
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In this lesson, determine the ratio of the maximum bending moments applied to two metal pipes, given that both pipes can withstand a maximum stress of 100 MPa. Both pipes have an outer radius of 1.8 cm. Pipe A has an inner radius of 1.5 cm, and Pipe B has an inner radius of 1 cm. The ratio of the maximum bending moment applied to two metallic pipes, each with a different inner and outer radius, is determined by considering their dimensions. The inner radius of the first pipe is 1.5 cm, and for...
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When analyzing bending in symmetric members, it's crucial to understand how stresses distribute when subjected to bending moments. This stress distribution is effectively described by applying fundamental mechanics and material science principles, particularly Hooke's Law for elastic materials.
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In warehouse roofing applications, corrugated or curved metal sheets are commonly used to improve structural strength, water drainage, and ventilation efficiency. To accurately estimate material requirements and optimize design parameters, engineers must determine the curved surface area of these sheets. Because the sheet profiles often repeat smoothly along their length, they can be effectively approximated by parabolic curves, enabling the use of numerical integration techniques for area...
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In the study of elastoplastic members subjected to bending moments, understanding the loading and unloading phases is crucial for assessing material behavior and structural integrity. During the loading phase, as the bending moment increases, the material initially responds elastically, adhering to Hooke's Law, where stress is directly proportional to strain. When the load exceeds the yield strength, plastic deformation occurs, resulting in permanent strain and deformation that remains even...
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Calculation of membrane bending rigidity using field-theoretic umbrella sampling.

Y G Smirnova1, M Müller1

  • 1Institute for Theoretical Physics, Georg-August-Universität, Friedrich-Hund-Platz 1, 37077 Göttingen, Germany.

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|January 3, 2016
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Summary

Calculating free-energy changes in membrane shape transformations is challenging. Field-theoretic umbrella sampling offers a computational method to determine these changes, aiding in understanding membrane bending and rigidity.

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Area of Science:

  • Biophysics
  • Computational Chemistry
  • Materials Science

Background:

  • Membrane shape transformations, such as bending, involve small free-energy changes, making their accurate calculation difficult.
  • Understanding these free-energy differences is crucial for comprehending various biological and material processes.

Purpose of the Study:

  • To present and apply a computational method, field-theoretic umbrella sampling, for calculating free-energy changes in membrane transformations.
  • To investigate the free-energy profile of bent membranes and determine membrane bending rigidity.

Main Methods:

  • Utilized field-theoretic umbrella sampling to compute the local chemical potential of non-equilibrium membrane configurations.
  • Performed simulations on a soft, coarse-grained amphiphile model and the MARTINI model of dioleoylphosphatidylcholine (DOPC) membranes.

Main Results:

  • Successfully calculated the chemical potential profile for a bent membrane.
  • Determined the bending rigidity of the membrane for both model systems.
  • Demonstrated the applicability of the method to study free-energy changes in membrane transformations.

Conclusions:

  • Field-theoretic umbrella sampling is an effective computational tool for studying free-energy changes in membrane shape transformations.
  • The method provides insights into membrane bending rigidity and chemical potential profiles.
  • Applicable to various membrane models, including coarse-grained and atomistic (MARTINI) representations.