What's the difference between hyperboloid and paraboloid?

Hyperboloid


Definition:

  • (n.) A surface of the second order, which is cut by certain planes in hyperbolas; also, the solid, bounded in part by such a surface.
  • (a.) Having some property that belongs to an hyperboloid or hyperbola.

Example Sentences:

  • (1) When the myoepithelial cells contract they force the axial protrusion forward and transform the papilla into a hyperboloidal configuration.
  • (2) The cup-shaped adhesive papillae of Distaplia occidentalis evert at the onset of metamorphosis and each transforms into a hyperboloidal configuration.
  • (3) It has been shown previously that the hyperboloid can be considered as a scaffold describing the parallel beta-barrel structure.
  • (4) The sinuses are subsequently arranged into 4 classes, according to their similarity to solids of revolution such as: semi-ellipsoid (class a: 15% of specimens); paraboloid (class b: 30%); hyperboloid (class c: 47%) and cone (class d: 8%).
  • (5) We calculate values of SLk for the helical wrapping of a constant length of DNA on protein surfaces having the shapes of cylinders and of ellipsoids and hyperboloids of revolution.
  • (6) This could be demonstrated by a simple structural principle of the myocardium namely the myocardium fibres and connective tissue strands are arranged in the form of intermeshed hyperboloids.
  • (7) Eight-stranded beta-sheets in nine protein structures containing "TIM (triose phosphate isomerase) barrels" are shown to be fitted satisfactorily by hyperboloids, the generating lines of which pass through the beta-strands.
  • (8) In addition, we show how the hyperboloid model and the ensuing formalism can serve to derive useful geometric and graphic tools for computer-aided protein design de novo.
  • (9) ER binding capacity tended to be correlated with age: this correlation could be described with a hyperboloid regression curve (r = -0.5931; 0.06 > p > 0.05).
  • (10) The beta barrel fits a simple hyperboloid model as other T.I.M.
  • (11) Basic design features of the beta-sheet portion in parallel alpha beta barrels in known protein structures are analysed in the context of a model of a regular hyperboloid.
  • (12) Simple parameterizations of the hyperboloid model are then used to determine the constraints that govern key parameters, such as the number of strands in the barrel, and to rationalize the remarkable conservation of strand number, observed to be eight, in nearly all the known examples of parallel beta-barrels.
  • (13) It has been shown that the shape of the beta-sheet portion of the barrel can be approximated by a hyperboloid.
  • (14) If the equatorial radius of the protein is fixed, change in shape from a cylinder to a hyperboloid increases SLk, while the corresponding change to an ellipsoid reduces SLk.

Paraboloid


Definition:

  • (n.) The solid generated by the rotation of a parabola about its axis; any surface of the second order whose sections by planes parallel to a given line are parabolas.

Example Sentences:

  • (1) The paraboloid is found in cytoplasmic processes projecting into the follicular lumen and in perikarya of the follicular cells.
  • (2) The sinuses are subsequently arranged into 4 classes, according to their similarity to solids of revolution such as: semi-ellipsoid (class a: 15% of specimens); paraboloid (class b: 30%); hyperboloid (class c: 47%) and cone (class d: 8%).
  • (3) In normal adult eyes and in eyes 21 days after lens removal, the paraboloid portion of the photoreceptor inner segments, and in some cases the perinuclear cytoplasm of the photoreceptor cells, contained the antigen.
  • (4) The present study suggests that the chick paraboloid not only is a field for active glycogen metabolism, but also becomes a storage of glycogen.
  • (5) A comparison of salmonella findings and E. coli titre showed that with increasing E. coli contamination the proportion of positive salmonella findings also increased (paraboloid curve).
  • (6) Double cones consist of a larger chief member which shows a thin tapering outer segment, a large heterogeneous oil droplet and a prominent paraboloid.
  • (7) Histamine-like immunoreactivity was localized within paraboloids of certain cone photoreceptors by use of two different antisera directed against histamine.
  • (8) Branching glycosyltransferase seemed to appear after phosphorylase was activated and these enzymes became higher in their activity with the differentiation in the paraboloid in the fetal and early postnatal periods.
  • (9) Native glycogen in the paraboloid stained brown, while histochemically synthesized polyglucose stained brown or purple.
  • (10) Overproduction of polyglucose particles was not found in the paraboloid of the retina incubated in the medium in vivo.
  • (11) Glycogen synthetase and phosphorylase activities in the paraboloid glycogen of the accessory cone of the chick retina were studied electron histochemically, while the paraboloid glycogen was observed by electron microscopy.
  • (12) Some of the paraboloid of the accessory cone of the chick retina contained abundant glycogen granules, but some showed no glycogen granules.
  • (13) Rod inner segments display an ellipsoid but no oil droplet or paraboloid.
  • (14) Polyglucose particles synthesized by phosphorylase activity in the chick paraboloid were located in the cytoplasmic matrices and expanded them widely.
  • (15) These enzyme activities appeared in the cytoplasmic matrices of the developing paraboloid in the photoreceptor inner segment almost simultaneously at the 17th day of incubation.
  • (16) These results show that (i) the shape of a fine tip is not conical but resembles more closely a paraboloid of revolution, and (ii) for this shape to be maintained throughout growth, accretion (rate of mass uptake per unit area) cannot everywhere be the same on the surface of the tip but must decrease as the diameter increases.
  • (17) A delay in formation of ellipsoid and paraboloid occurred, especially in membrane discs of the external segment of photoreceptor.
  • (18) Preincubation of eyecups in Ringer's containing 10 microM histamine selectively increased the immunoreactivity of these photoreceptor paraboloids.
  • (19) The specimens were embedded for routine electron microscopy and the paraboloid of the accessory cone was observed by electron microscopy.
  • (20) Electron microscopy revealed that the paraboloid in all experimental groups appeared to have many vacant spaces at the sites of polyglucose particles, as after the amylase digestion test.