Twenty-one Nigerian rice landraces were screened for tolerance to phosphate deficiency in nutrient medium using selected morphological indices from which Phosphate Deficiency Tolerance Index (PDTI) was evaluated. All analyzed the presence of four uptake 1 (Pup-1) gene-linked markers while relative expression levels two Pup-1 genes evaluated under zero, normal and excess phosphate. PDTI analysis...

The study of chemical reaction networks (CRN's) is a very active field. Earlier well-known results (Feinberg 1987 Chem. Enc. Sci. 42 2229, Anderson et al 2010 Bull. Math. Biol. 72 1947) identify a topological quantity called deficiency, for any CRN, which, when exactly equal to zero, leads to a unique factorized steady-state for these networks. No results exist however for the steady states of ...

In the literature, there exist strong results on the qualitative dynamical properties of chemical reaction networks (also called kinetic systems) governed by the mass action law and having zero deficiency. However, it is known that different network structures with different deficiencies may correspond to the same kinetic differential equations. In this paper, an optimization-based approach is ...

A parallel prefix circuit has n inputs x1, x2, . . . , xn, and computes the n outputs yi = xi • xi−1 • · · ·•x1, 1 ≤ i ≤ n, in parallel, where • is an arbitrary binary associative operator. Snir proved that the depth t and size s of any parallel prefix circuit satisfy the inequality t + s ≥ 2n − 2. Hence, a parallel prefix circuit is said to be of zero-deficiency if equality holds. In this pape...