We have previously identified and characterized three distinct trout C3 proteins (C3-1, C3-3 and C3-4) that differ in their electrophoretic mobility, glycosylation patterns, reactivity with monospecific C3 antibodies, partial amino acid sequence and binding to various complement activators. To study the structural elements that determine the observed functional differences, we have cloned and s...

In this paper, we study the class of of C3-like Finsler metrics which contains the class of semi-C-reducible Finsler metric. We find a condition on C3-like metrics under which the notions of Landsberg curvature and mean Landsberg curvature are equivalent.

and Applied Analysis 3 For the rest of the paper we need the following assumption: C3 0 < ∑m−2 i 1 αiφ1 ηi < 1. Lemma 2.2 see 1 . Assuming that (C2) and (C3) hold. Let y ∈ C ρ 0 , σ 1 . Then boundary value problem xΔ∇ t a t xΔ t b t x t y t 0, t ∈ 0, 1 T , x ( ρ 0 ) 0, x σ 1 m−2 ∑ i 1 αix ( ηi ) 2.3 is equivalent to integral equation

C3 glomerulopathy is a recently defined entity that encompasses a group of kidney diseases caused by abnormal control of complement activation with deposition of complement component C3 in glomeruli leading to variable glomerular inflammation. Before the recognition of the unique pathogenesis of these cases, they were variably classified according to their morphological features. C3 glomerulopa...