Growth defined

For one-dimensional diffusion in a semi-infinite medium during crystal growth, define the crystal to be on the left-hand side and the melt on the right-... 

Sassetti CM, Boyd DH, Rubin EJ (2003) Genes required for mycobacterial growth defined by high density mutagenesis. Mol Microbiol 48 77-84... 

Explain the atomic mechanisms of solid-state nucleation and growth. Define the critical nucleation size and the critical nucleation barrier and sketch surface-mediated growth sites such as steps, kinks, and holes. 

Another phenomenon in electronics degradation is whisker growth, defined as fifimentary growth on metallic materials [22-29]. Whiskers can be metallic or inorganic compounds. Although this behavior is still under investigation, it is reported to be a form of induced recrystaUization... 

If the rate of growth of a patch involves two-dimensional nucleation it will be given by Eq. (9). The activation energy for growth defined as... 

Forward Analysis In this type of analysis, we are interested in the propagation of initial perturbations Sxq along the flow of (1), i.e., in the growth of the perturbations 5x t xo) = (xo -h Sxq) — xq. The condition number K,(t) may be defined as the worst case error propagation factor (cf. textbook [4]), so that, in first order perturbation analysis and with a suitable norm j ... 

Suppose we define the rate of radial growth of the crystalline disks as r. Then disks originating from all nuclei within a distance rt of an arbitrary point, say, point X in Fig. 4.6a, will reach that point in an elapsed time t. If the average concentration of nuclei in the plane is N (per unit area), then the average number of fronts F which converge on x in tliis time interval is... 

Fig. 3. The effect of crack growth on potential energy in a loaded body where (a) is a cracked body of arbitrary shape with a load P appHed, and (b) is the change in potential energy in the body owing to incremental crack growth, Sa. Other terms are defined in text.

An attempt has been made to define a single critical value, like for brittle fracture, from these curves (5). However, the amount of crack growth which is used to define this critical value is inevitably rather arbitrary. A more recent approach (6) is to fit a power law curve of the form... 

The growth of animals can be defined as an increase in mass of whole body, tissue(s), organ(s), or ceU(s) with time. This type of growth can be characterized by morphometric measurements eg, skeletal muscle or adipose tissue growth can be described by observing temporal changes in ceU number, ie, hyperplasia, and ceU size, ie, hypertrophy. Growth also includes developmental aspects of function and metaboHsm of cells and tissues from conception to maturity. 

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