Crystals, Proteins, Stability and Isoperimetry
نویسندگان
چکیده
We attempt to formulate several mathematical problems suggested by structural patterns present in biomolecular assemblies. Our description of these patterns, by necessity brief and over-concentrated in some places, is self-contained, albeit on a superficial level. An attentive reader is likely to stumble upon a cryptic line here and there; however, things will become more transparent at a second reading and/or at a later point in the article.
منابع مشابه
GROWTH OF ZnS SINGLE CRYSTALS BY CVT TECHNIQUE UNDER DIFFERENT MASS TRANSPORT STABILITY CONDITIONS
Abstract: A thermodynamic model was used to find out the optimum temperature for the growth of ZnS single crystals in closed ampoules by chemical vapor transport technique. Based on this model 1002 °C was found to be optimum temperature for 2 mg/cm3 concentration of transporting agent (iodine). ZnS Crystals were grown in optimum (1002 °C) and non-optimum (902 °C and 1102 °C) temperatures. The c...
متن کاملA review of methods to increase the stability of recombinant pharmaceutical proteins during the production and storage process
The production of biotechnological drug proteins plays an important role against disease. The process of producing drug recombinant proteins is not a direct path, because it requires a lot of work and on the other hand, one of the important and significant aspects in the production of proteins is the discussion of their stability and solubility during the expression and purification process. Pr...
متن کاملThe Limit of Convexity Based Isoperimetry: Sampling Harmonic-Concave Functions
Logconcave functions represent the current frontier of efficient algorithms for sampling, optimization and integration in Rn [LV06a]. Efficient sampling algorithms to sample according to a probability density (to which the other two problems can be reduced) relies on good isoperimetry which is known to hold for arbitrary logconcave densities. In this paper, we extend this frontier in two ways: ...
متن کاملIsoperimetry and Symmetrization for Logarithmic Sobolev Inequalities
Using isoperimetry and symmetrization we provide a unified framework to study the classical and logarithmic Sobolev inequalities. In particular, we obtain new Gaussian symmetrization inequalities and connect them with logarithmic Sobolev inequalities. Our methods are very general and can be easily adapted to more general contexts.
متن کامل