scholarly journals Curvature-Induced Spatial Ordering of Composition in Lipid Membranes

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Shimrit Katz ◽  
Sefi Givli
Keyword(s):  
Mathematical Model ◽  
Phase Separation ◽  
Lipid Membranes ◽  
Phase Segregation ◽  
Geometric Features ◽  
Two Component ◽  
Modulated Phase ◽  
Spatial Ordering ◽  
The Difference ◽  
Two Phases

Phase segregation of membranal components, such as proteins, lipids, and cholesterols, leads to the formation of aggregates or domains that are rich in specific constituents. This process is important in the interaction of the cell with its surroundings and in determining the cell’s behavior and fate. Motivated by published experiments on curvature-modulated phase separation in lipid membranes, we formulate a mathematical model aiming at studying the spatial ordering of composition in a two-component biomembrane that is subjected to a prescribed (imposed) geometry. Based on this model, we identified key nondimensional quantities that govern the biomembrane response and performed numerical simulations to quantitatively explore their influence. We reproduce published experimental observations and extend them to surfaces with geometric features (imposed geometry) and lipid phases beyond those used in the experiments. In addition, we demonstrate the possibility for curvature-modulated phase separation above the critical temperature and propose a systematic procedure to determine which mechanism, the difference in bending stiffness or difference in spontaneous curvatures of the two phases, dominates the coupling between shape and composition.

scholarly journals The distance variation due to mass transfer and mass loss in (13.6+8) Mand (13+10) M binary star systems

2019 ◽  
Vol 11 (20) ◽  
pp. 9-16
Author(s):  
Mohammed R. Abdulameer
Keyword(s):  
Mass Transfer ◽  
Mass Loss ◽  
Binary Star ◽  
Star System ◽  
Two Component ◽  
The Difference ◽  
Two Phases ◽  
Binary Star System ◽  
Transfer State ◽  
Transfer Stage

In this research the change in the distance of the two stars in two binary star systems (13.6+8)M8and (13+10)M8 was studied, through the calculations the value  (rate of mass transfer) of the two phases of dynamical stages of mass which are mass loss and mass transfer has been extracted in its own way ,by extracting the value of  the value of (the distance variation between the two stars) has been found only in the mass transfer stage by using mathematical model ,in mass loss stage  and   were calculated from the change and the difference between the values of each at different times of binary star system evolution ,it was found that  the maximum values of  and  are in mass transfer state in binary star system , in other words the maximum values of  depend on the mass transfer between the two component stars of the binary star system.

scholarly journals Reaction-Induced Phase Separation and Morphology Evolution of Benzoxazine/Epoxy/Imidazole Ternary Blends

Polymers ◽  
2021 ◽  
Vol 13 (17) ◽  
pp. 2945
Author(s):  
Jun Yue ◽  
Honglei Wang ◽  
Qian Zhou ◽  
Pei Zhao
Keyword(s):  
Phase Separation ◽  
Epoxy Resins ◽  
Phase Contrast ◽  
Rational Design ◽  
Morphological Evolution ◽  
Rapid Phase ◽  
Promising Strategy ◽  
The Difference ◽  
Two Phases ◽  
Main Factor

Introducing multiphase structures into benzoxazine (BOZ)/epoxy resins (ER) blends via reaction-induced phase separation has proved to be promising strategy for improving their toughness. However, due to the limited contrast between two phases, little information is known about the phase morphological evolutions, a fundamental but vital issue to rational design and preparation of blends with different phase morphologies in a controllable manner. Here we addressed this problem by amplifying the difference of polymerization activity (PA) between BOZ and ER by synthesizing a low reactive phenol-3,3-diethyl-4,4′-diaminodiphenyl methane based benzoxazine (MOEA-BOZ) monomer. Results indicated that the PA of ER was higher than that of BOZ. The use of less reactive MOEA-BOZs significantly enlarged their PA difference with ER, and thus increased the extent of phase separation and improved the phase contrast. Phase morphologies varied with the content of ER. As for the phase morphological evolution, a rapid phase separation could occur in the initial homogeneous blends with the polymerization of ER, and the phase morphology gradually evolved with the increase in ER conversion until the ER was used up. The polymerization of ER is not only the driving-force for the phase separation, but also the main factor influencing the phase morphologies.

scholarly journals Two-component electronic phase separation in the doped Mott insulator Y1−xCaxTiO3

2021 ◽  
Vol 104 (4) ◽  
Author(s):  
S. Hameed ◽  
J. Joe ◽  
D. M. Gautreau ◽  
J. W. Freeland ◽  
T. Birol ◽  
...  
Keyword(s):  
Phase Separation ◽  
Mott Insulator ◽  
Electronic Phase Separation ◽  
Electronic Phase ◽  
Two Component ◽  
Doped Mott Insulator

scholarly journals Dynamics of Phase Separation in Lipid Membranes

2010 ◽  
Vol 98 (3) ◽  
pp. 664a
Author(s):  
Brian Camley ◽  
Frank L.H. Brown
Keyword(s):  
Phase Separation ◽  
Lipid Membranes

Mathematical model of the process of phase separation of oil sludge under the influence of centrifugal force

2020 ◽  
Vol 10 (11) ◽  
pp. 539-544
Author(s):  
Jumaev Kayum Karimovich ◽  
Makhmudova Nilufar Saidyahyayevna ◽  
Shomurodov Azamat Yuldashovich ◽  
Yahyayev Nodir Sharifovich
Keyword(s):  
Mathematical Model ◽  
Phase Separation ◽  
Centrifugal Force ◽  
Oil Sludge

Impact of multilayered compression bandages on sub-bandage interface pressure: a model

2011 ◽  
Vol 26 (2) ◽  
pp. 75-83 ◽  
Author(s):  
J Al Khaburi ◽  
E A Nelson ◽  
J Hutchinson ◽  
A A Dehghani-Sanij
Keyword(s):  
Mathematical Model ◽  
Thick Wall ◽  
Compression Bandage ◽  
Leg Ulcers ◽  
Interface Pressure ◽  
Venous Leg Ulcers ◽  
Compression Bandages ◽  
Thick Cylinder ◽  
The Difference ◽  
Interface Pressures

Background Multi-component medical compression bandages are widely used to treat venous leg ulcers. The sub-bandage interface pressures induced by individual components of the multi-component compression bandage systems are not always simply additive. Current models to explain compression bandage performance do not take account of the increase in leg circumference when each bandage is applied, and this may account for the difference between predicted and actual pressures. Objective To calculate the interface pressure when a multi-component compression bandage system is applied to a leg. Method Use thick wall cylinder theory to estimate the sub-bandage pressure over the leg when a multi-component compression bandage is applied to a leg. Results A mathematical model was developed based on thick cylinder theory to include bandage thickness in the calculation of the interface pressure in multi-component compression systems. In multi-component compression systems, the interface pressure corresponds to the sum of the pressures applied by individual bandage layers. However, the change in the limb diameter caused by additional bandage layers should be considered in the calculation. Adding the interface pressure produced by single components without considering the bandage thickness will result in an overestimate of the overall interface pressure produced by the multi-component compression systems. At the ankle (circumference 25 cm) this error can be 19.2% or even more in the case of four components bandaging systems. Conclusion Bandage thickness should be considered when calculating the pressure applied using multi-component compression systems.

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