What's the difference between geometry and matrix?

Geometry


Definition:

  • (n.) That branch of mathematics which investigates the relations, properties, and measurement of solids, surfaces, lines, and angles; the science which treats of the properties and relations of magnitudes; the science of the relations of space.
  • (n.) A treatise on this science.

Example Sentences:

  • (1) The results, together with the known geometry of the enzyme, indicate that active site probes in the dodecamer are widely separated and that energy transfer occurs from a single donor to two or three acceptors on adjacent subunits.
  • (2) The scatter measurement was made using a standard imaging geometry with both beam stops and an additional x-ray detector placed behind the standard imaging detector.
  • (3) These two latter techniques were developed in an attempt to restore normal left ventricular geometry.
  • (4) Those small problems which exist can be attributed to detector sampling problems, especially in the axial direction, which is a consequence of the geometry of these scanners, which are designed primarily for 2D data acquisition.
  • (5) In spite of the limitations arising from the complex geometry of the right ventricule, echocardiography may be the most important non-invasive technique in the evaluation of the structural and functional repercussion of hypertension on the right ventricle.
  • (6) In the current study, left ventricular geometry, loading conditions, and contractile state were assessed in 13 patients with nonischemic DCM with the use of simultaneous high-fidelity pressure measurements and echocardiographic recordings.
  • (7) The measured dose distributions at equivalent source activity and similar geometry of the applicators revealed the possibility with regard of all techniques of gynecologic irradiation utilized in our field of arriving at similar relative and absolute dose distributions by means of the Cs-137 afterloading technique.
  • (8) The drug orientation and the DNA orientation (reflecting flexibility) are observed to vary differently and nonmonotonically with binding ratio, suggesting specific binding and varying site geometries.
  • (9) In 1984 the press-fit condylar knee was first introduced and was intended to provide a condylar knee system primarily for posterior cruciate retention that addressed refinements in metallurgy, prosthetic geometry and sizing, cementless fixation, inventory management, and instrumentation.
  • (10) The effective electrical geometry under the conditions of control and 0.5 mM PNB sufficient to completely abolish the postsynaptic potential were determined from analyses of the membrane charging curves assuming the lumped-soma-short-cable model.
  • (11) The latter, which is external and solvent accessible, is associated with a distortion in the alpha-helix centered around Tyr33 which consists of a significant increase in the CO(i-4)-N(i) and CO(i-4)-NH(i) distances relative to those in the rest of the helix, as well as a significant departure in the phi, psi angles of Tyr33 relative to regular helical geometry.
  • (12) Fractal geometry offers a more accurate description of ocular anatomy and pathology than classical geometry, and provides a new language for posing questions about the complex geometrical patterns that are seen in ophthalmic practice.
  • (13) We have mapped cochlear nerve terminations in the cochlear nucleus with DiI and, using three-dimensional reconstructions, have demonstrated the topography and geometry of the cochlear input.
  • (14) In order to clarify the role of dialyzer geometry, the effect of hollow-fiber versus flat-sheet dialyzers and of different surface areas on C3a generation and leukocyte degranulation was investigated.
  • (15) The ternary complexes between enzyme, NAD+ and either Cl- or trifluoroethanol and the binary complex between enzyme and orthophenanthroline have almost identical spectral parameters which are not consistent with a four coordinated geometry, but are consistent with a five coordinated geometry.
  • (16) A good choice between these different approaches avoid the rare complications (ectropion and scleral show) because blepharoplasty must be considered like a "variable geometry" operation.
  • (17) Distances and angles between major anatomic landmarks were determined by using computer reconstructions of the serially sectioned embryos, three-dimensional analytic geometry, and Euclidean distance formulas.
  • (18) We tracked the unconditioned approach response paths taken by the fish and compared tracks for each of the geometries.
  • (19) The optimal geometry of the vascular bifurcation is interpreted on the basis of the principle of minimum work.
  • (20) The bone stiffness also correlates strongly with the geometry (area) and slightly with bone mass; however, an unexpectedly low correlation was found between stiffness and density.

Matrix


Definition:

  • (n.) The womb.
  • (n.) Hence, that which gives form or origin to anything
  • (n.) The cavity in which anything is formed, and which gives it shape; a die; a mold, as for the face of a type.
  • (n.) The earthy or stony substance in which metallic ores or crystallized minerals are found; the gangue.
  • (n.) The five simple colors, black, white, blue, red, and yellow, of which all the rest are composed.
  • (n.) The lifeless portion of tissue, either animal or vegetable, situated between the cells; the intercellular substance.
  • (n.) A rectangular arrangement of symbols in rows and columns. The symbols may express quantities or operations.

Example Sentences:

  • (1) Within the outflow tract wall, the labelled cells were enmeshed by strands of alcian blue-stained extracellular matrix.
  • (2) If ascorbic acid was omitted from the culture medium, the extensive new connective tissue matrix was not produced.
  • (3) These studies led to the following conclusions: (a) all the prominent NHP which remain bound to DNA are also present in somewhat similar proportions in the saline-EDTA, Tris, and 0.35 M NaCl washes of nuclei; (b) a protein comigrating with actin is prominent in the first saline-EDTA wash of nuclei, but present as only a minor band in the subsequent washes and on washed chromatin; (c) the presence of nuclear matrix proteins in all the nuclear washes and cytosol indicates that these proteins are distributed throughout the cell; (d) a histone-binding protein (J2) analogous to the HMG1 protein of K. V. Shooter, G.H.
  • (4) Discrimination errors were used to generate a matrix of interletter and interpattern similarities.
  • (5) The fibrous matrix and cartilage formed within the nonunion site transformed to osteoid and bone with increased vascularity.
  • (6) A complex linkage between the cytoskeleton and the extracellular matrix is illustrated both in the cord forming Sertoli and granulosa cells, and in the adjacent mesenchymal cells.
  • (7) Thus, our results indicate that calbindin-D28k is a useful marker for the projection system from the matrix compartment and that its expression is modified in patients with progressive supranuclear palsy and striatal degeneration.
  • (8) Normal cultured human epidermal melanocytes and melanoma cells derived from three different malignant melanomas were examined for synthesis of extracellular matrix components before and after treatment for one day with interferon-gamma, tumor necrosis factor-alpha, or both.
  • (9) To exclude potential interactions with components of the extracellular matrix which contains binding sites for PAI-1, ligand binding to HepG2 cells in suspension was assessed.
  • (10) This was followed by the appearance of microfibrils of various sizes and other components of the extracellular matrix.
  • (11) The first observable change before the acrosome reaction was a partial decondensation of the acrosomal matrix.
  • (12) In contrast, boundary layer diffusion is operative in the release from the matrixes prepared by compression of physical mixtures.
  • (13) Human Caco-2 enterocytes were cultured on matrix proteins (collagen I, laminin, fibronectin) with growth factors (epidermal growth factor [EGF] and transforming growth factor-beta 1 [TGF-beta 1]) and the tyrosine kinase and prostaglandin inhibitors genistein and indomethacin.
  • (14) As an extension of the previous study which indicated that mesoglea is a primitive basement membrane which has retained some characteristics of interstitial extracellular matrix, the present study was undertaken to analyze the role of mesoglea components during head regeneration in Hydra vulgaris.
  • (15) Its features are consistent with observed structural dimensions and the molecular periodicities related to transcription, replication and matrix attachment domains.
  • (16) A significant proportion of the soluble protein of the organic matrix of mollusk shells is composed of a repeating sequence of aspartic acid separated by either glycine or serine.
  • (17) The increased release of alkaline phosphatase from the particulate matrix by lysophosphatidylcholine was confirmed by disc electrophoresis.
  • (18) The cytoplasmic matrix was labelled only 30 min after injection.
  • (19) Type beta transforming growth factor (TGF beta) was shown to regulate the production of several extracellular matrix proteins.
  • (20) They strongly suggest that the ADP-carrier comes to the close neighbourhood of the ATP synthetase on the matrix side of the inner membrane.