Mathematical analysis of enzymic reaction systems using optimization principles

1991 ◽  
pp. 167-187 ◽  
Author(s):  
Reinhart Heinrich ◽  
Stefan Schuster ◽  
Hermann-Georg Holzhütter
Keyword(s):  
Mathematical Analysis ◽  
Reaction Systems ◽  
Enzymic Reaction

Mathematical analysis of enzymic reaction systems using optimization principles

1991 ◽  
Vol 201 (1) ◽  
pp. 1-21 ◽  
Author(s):  
Reinhart HEINRICH ◽  
Stefan SCHUSTER ◽  
Hermann-Georg HOLZHUTTER
Keyword(s):  
Mathematical Analysis ◽  
Reaction Systems ◽  
Enzymic Reaction

scholarly journals A Generalized Theoretical Treatment of the Transient-state Kinetics of Enzymic Reaction Systems Far from Equilibrium.

1978 ◽  
Vol 32b ◽  
pp. 437-446 ◽  
Author(s):  
Gösta Pettersson ◽  
Roger Phan-Tan-Luu ◽  
Didier Mathieu ◽  
Florentin S. Ahouande ◽  
André Babadjamian ◽  
...  
Keyword(s):  
Transient State ◽  
Theoretical Treatment ◽  
Reaction Systems ◽  
Enzymic Reaction ◽  
Far From Equilibrium ◽  
Kinetics Of

Density waves in disk galaxies

1967 ◽  
Vol 31 ◽  
pp. 313-317 ◽  
Author(s):  
C. C. Lin ◽  
F. H. Shu
Keyword(s):  
Mathematical Analysis ◽  
Spiral Structure ◽  
Stellar System ◽  
Collective Modes ◽  
Disk Galaxies ◽  
Spiral Pattern ◽  
Density Waves ◽  
The Galaxy ◽  
Detailed Mathematical Analysis

Density waves in the nature of those proposed by B. Lindblad are described by detailed mathematical analysis of collective modes in a disk-like stellar system. The treatment is centered around a hypothesis of quasi-stationary spiral structure. We examine (a) the mechanism for the maintenance of this spiral pattern, and (b) its consequences on the observable features of the galaxy.

Computing cell tractions from particle displacements on silicone rubber substrata

1994 ◽  
Vol 52 ◽  
pp. 162-163
Author(s):  
Tim Oliver ◽  
Akira Ishihara ◽  
Ken Jacobsen ◽  
Micah Dembo
Keyword(s):  
Plane Stress ◽  
Linear Elasticity ◽  
Silicone Rubber ◽  
Mathematical Analysis ◽  
Elastic Recovery ◽  
Video Images ◽  
Cell Traction Forces ◽  
Latex Beads ◽  
Cell Traction ◽  
Better Than

In order to better understand the distribution of cell traction forces generated by rapidly locomoting cells, we have applied a mathematical analysis to our modified silicone rubber traction assay, based on the plane stress Green’s function of linear elasticity. To achieve this, we made crosslinked silicone rubber films into which we incorporated many more latex beads than previously possible (Figs. 1 and 6), using a modified airbrush. These films could be deformed by fish keratocytes, were virtually drift-free, and showed better than a 90% elastic recovery to micromanipulation (data not shown). Video images of cells locomoting on these films were recorded. From a pair of images representing the undisturbed and stressed states of the film, we recorded the cell’s outline and the associated displacements of bead centroids using Image-1 (Fig. 1). Next, using our own software, a mesh of quadrilaterals was plotted (Fig. 2) to represent the cell outline and to superimpose on the outline a traction density distribution. The net displacement of each bead in the film was calculated from centroid data and displayed with the mesh outline (Fig. 3).

EXISTENCE AND INVARIANCE FOR CONVECTION, DISPERSION, REACTION SYSTEMS WITH PRESSURE

1992 ◽  
Vol 12 (4) ◽  
pp. 443-456 ◽  
Author(s):  
Chunhong Xie ◽  
Taiping He ◽  
Guohong Bai
Keyword(s):  
Reaction Systems
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