Heterogeneous properties

The microscopic approach looks at heterogeneous properties of the tissue and has been developed for plant material on the basis of plant physiology studies on the effect of osmosis on water balance and transport in growing plants. 

Without nominalization The heterogeneous property of ricin is generally not considered in studies of how toxic it is. (16 words)... 

Wang, S., Scott, B.W., Wojtowicz, J.M. (2000) Heterogenous properties of dentate granule neurons in the adult rat. JNeurobiol 42, 248-57. 

Historically most of the microscopic diffusion models were formulated for amorphous polymer structures and are based on concepts derived from diffusion in simple liquids. The amorphous polymers can often be regarded with good approximation as homogeneous and isotropic structures. The crystalline regions of the polymers are considered as impenetrable obstacles in the path of the diffusion process and sources of heterogeneous properties for the penetrant polymer system. The effect of crystallites on the mechanism of substance transport and diffusion in a semicrystalline polymer has often been analysed from the point of view of barrier property enhancement in polymer films (35,36). 

In all previous dissolution models described in Sections 5.1 and 5.2, the variability of the particles (or media) is not directly taken into account. In all cases, a unique constant (cf. Sections 5.1, 5.1.1, and 5.1.2) or a certain type of time dependency in the dissolution rate constant (cf. Sections 5.1.3, 5.2.1, and 5.2.2) is determined at the commencement of the process and fixed throughout the entire course of dissolution. Thus, in essence, all these models are deterministic. However, one can also assume that the above variation in time of the rate or the rate coefficient can take place randomly due to unspecified fluctuations in the heterogeneous properties of drug particles or the structure/function of the dissolution medium. Lansky and Weiss have proposed [130] such a model assuming that the rate of dissolution k (t) is stochastic and is described by the following equation ... 

The water molecule causes the formation of the unstable carbamic acid which decomposes further to yield DAM and CO and is given off in the process. This approach, although promising, is difficult to use effectively because of water immiscibility with the reaction system. As a consequence, addition of water results in the formation of water droplets and a copolymer with heterogenous properties may thus be obtained. 

Here we generalize the harmonic rule for discrete cores having distinctly different rock properties, to single lineal cores having continuous heterogeneous properties. This is accomplished by considering... 

Forward and Inverse Modelling Many inverse problems in the geosciences involve sparse data used to constrain functions representing three-dimensional heterogeneous property fields, such as porosity or permeability. It is not that clear which parameters are to be determined in the inversion. Is it properties as functions of position, or is it the parameters in the correlation functions summarising the heterogeneity It may be some mixture of the two, with the parameters in the correlation functions displaying the most sensitivity to the measurements. There is room for much research here model problems should be studied so that our intuitions can be further developed. 

---