Frameworks property-function relationship

This function accounts for the mesoscale region and comprises most of the listed distribution functions [154]. It includes three empirical parameters, a, pK, and aw. Having ascertained the relationships between these parameters and the properties of anomalous self-diffusion, fractal morphology, and polydispersity of the finite pore-size, physical significance can be assigned to these parameters in the framework of the percolation models [152],... 

Hence, the enthalpy change between T, and Tj. Pi niay be computed from the variation for an ideal gas plus the variation of the departure function, which accounts for non-ideality. The big advantage of the departure functions is that they can be evaluated with z PVT relationship, including the corresponding states principle. Moreover, the use of departure functions leads to a unified framework of computational methods, both for thermodynamic properties and phase equilibrium. 

The diphenol components selected were the desaminotyrosyl-tyrosine alkyl esters described above. The diacids included succinic, adipic, suberic and sebacic acid which contain, respectively, 2, 4, 6, and 8 methylene groups between two carboxylic acid functionalities. With this family of pohoners it is possible to alter independently both the pendent chain lengths as well as the number of flexible methylene spacers in the backbone, creating a family of sixteen structural variants. Hence, these materials serve as a framework upon which to further investigate polymer structure-property relationships. 

To answer the question of optimal matching between the ventricle and arterial load, we developed a framework of analysis which uses simplified models of ventricular contraction and arterial input impedance. The ventricular model consists only of a single volume (or chamber) elastance which increases to an endsystolic value with each heart beat. With this elastance, stroke volume SV is represented as a linearly decreasing function of ventricular endsystolic pressure. Arterial input impedance is represented by a 3-element Windkessel model which is in turn approximated to describe arterial end systolic pressure as a linearly increasing function of stroke volume injected per heart beat. The slope of this relationship is E. Superposition of the ventricular and arterial endsystolic pressure-stroke volume relationships yields stroke volume and stroke work expected when the ventricle and the arterial load are coupled. From theoretical consideration, a maximum energy transfer should occur from the contracting ventricle to the arterial load under the condition E = Experimental data on the external work that a ventricle performed on extensively varied arterial impedance loads supported the validity of this matched condition. The matched condition also dictated that the ventricular ejection fraction should be nearly 50%, a well-known fact under normal condition. We conclude that the ventricular contractile property, as represented by is matched to the arterial impedance property, represented by a three-element windkessel model, under normal conditions. 

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