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The holomorphic extension of $C^k$ CR functions on tube submanifolds

100%

Boggess A.

Annales Polonici Mathematici

1998

tom 70

nr 1

35-42

We show that a CR function of class $C^k$, 0 ≤ k < ∞, on a tube submanifold of $ℂ^n$ holomorphically extends to the convex hull of the submanifold. The extension and all its derivatives through order k are shown to have nontangential pointwise boundary values on the original tube submanifold. The $C^k$-norm of the extension is shown to be no bigger than the $C^k$-norm of the original CR function.

Generating Vectors for the Lattice Structures of Tubular and Conical Viral Capsids

63%

Sadre-Marandi F., Liu J., Tavener S., Chen C.

Molecular Based Mathematical Biology

2014

tom 2

nr 1

Retrovirus capsid is a fullerene-like lattice consisting of capsid protein hexamers and pentamers. Mathematical models for the lattice structure help understand the underlying biological mechanisms in the formation of viral capsids. It is known that viral capsids could be categorized into three major types: icosahedron, tube, and cone. While the model for icosahedral capsids is established and well-received, models for tubular and conical capsids need further investigation. This paper proposes new models for the tubular and conical capsids based on an extension of the Capser-Klug quasi-equivalence theory. In particular, two and three generating vectors are used to characterize respectively the lattice structures of tubular and conical capsids. Comparison with published HIV-1 data demonstrates a good agreement of our modeling results with experimental data.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Molecular Based Mathematical Biology

1 Boggess A.

1 Chen C.

1 Liu J.

1 Sadre-Marandi F.

1 Tavener S.

1 2014

1 1998

Wyniki wyszukiwania

The holomorphic extension of $C^k$ CR functions on tube submanifolds

Generating Vectors for the Lattice Structures of Tubular and Conical Viral Capsids