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Self-affine fractal growth front of Aspergillus oryzae

✍ Scribed by Shu Matsuura; Sasuke Miyazima

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
497 KB
Volume
191
Category
Article
ISSN
0378-4371

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✦ Synopsis

Aspergillus oryzae have been grown in various environmental

conditions and analyzed from the viewpoint of self-affinity.

The growth behavior can be described by the Eden model in favorable conditions, and by DLA in unfavorable conditions.

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## Abstract For a __d__ ×__d__ expanding matrix __A__, we de.ne a pseudo‐norm __w__ (__x__) in terms of __A__ and use this pseudo‐norm (instead of the Euclidean norm) to define the Hausdorff measure and the Hausdorff dimension dim^__w__^ ~__H__~ __E__ for subsets __E__ in R^__d__^ . We show that t