The rate limiting step in isoprenoid biosynthesis is catalyzed by 3-hydroxy-3-methylglutaryl CoA reductase (HMGR, EC 1.1.1.34). In plants, HMGR is encoded by small gene families whose members are differentially expressed. In tomato, hmg2 was previously isolated and sequenced. We report the isolation and sequence analysis of a clone (pCD4) encompassing exon I of tomato hmg1 which encodes the put...

This nice identity was applied in the same paper. Rather surprisingly, this result did not seem to have caught much attention. The object of this short note is to indicate some other consequences of identity (1), which have not been quoted in [5] or [6]. Before going further, and since no proof of this identity is given in [6], we thought worth to give one. The proof goes as follows. Put for an...

In this paper, some further results on the stability of Ky Fan's points are proposed by introducing a type of stronger perturbation of section mappings defined by a semi-metric called the maximum Hausdorff semi-metric, and the existence of the essential components of the set of Ky Fan's points to this perturbation is proved. As an application, the existence of the essential component of the Nas...

1 BioImaging Laboratory, Bioengineering Department, Speed School of Engineering, The University of Louisville, Louisville, KY 40292, USA 2Department of Radiology, School of Medicine, The University of Louisville, Louisville, KY 40292, USA 3Department of Computer Science, The University of Auckland, Auckland 1142, New Zealand 4Department of Radiology, Division of Biological Sciences, The Univers...