Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: curvature

Sortuj według:

Ogranicz wyniki do:

On the Curvature and Heat Flow on Hamiltonian Systems

100%

Ohta S.-i.

Analysis and Geometry in Metric Spaces

2014

tom 2

nr 1

We develop the differential geometric and geometric analytic studies of Hamiltonian systems. Key ingredients are the curvature operator, the weighted Laplacian, and the associated Riccati equation.We prove appropriate generalizations of the Bochner-Weitzenböck formula and Laplacian comparison theorem, and study the heat flow.

Curvature Concentrations on the HIV-1 Capsid

75%

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

Molecular Based Mathematical Biology

2015

tom 3

nr 1

It is known that the retrovirus capsids possess a fullerene-like structure. These caged polyhedral arrangements are built entirely from hexagons and exactly 12 pentagons according to the Euler theorem. Viral capsids are composed of capsid proteins, which create the hexagon and pentagon shapes by groups of six (hexamer) and five (pentamer) proteins. Different distributions of these 12 pentamers result in icosahedral, tubular, or conical shaped capsids. These pentamer clusters introduce declination and hence curvature on the capsids. This paper provides explicit and quantitative characterization of curvature on virus capsids. The concept of curvature concentration is also introduced. For the HIV (5,7)-cone, it is shown that the curvature concentration at the narrow end is about at least four times higher than that at the broad end. Our modeling results about curvature concentrations on HIV-1 capsids echo the results in the literature that the pentamers are in the regions with the highest stress, although the connection between the two approaches (curvature concentration and stress) is to be explored. This also leads to a conjecture that “HIV-1 capsid narrow end may close last during maturation but open first during entry into a host cell".

Ograniczanie wyników

1 Analysis and Geometry in Metric Spaces

1 Molecular Based Mathematical Biology

1 Chen C.

1 Liu J.

1 Ohta S.-i.

1 Sadre-Marandi F.

1 Tavener S.

1 2015

1 2014

Wyniki wyszukiwania

On the Curvature and Heat Flow on Hamiltonian Systems

Curvature Concentrations on the HIV-1 Capsid