scholarly journals Mathematical Analysis of a Parabolic-Elliptic Model for Brain Lactate Kinetics

2017 ◽  
pp. 379-403 ◽  
Author(s):  
Alain Miranville
Keyword(s):  
Mathematical Analysis ◽  
Lactate Kinetics ◽  
Elliptic Model ◽  
Brain Lactate

scholarly journals Analysis of a mathematical model for brain lactate kinetics

2018 ◽  
Vol 15 (5) ◽  
pp. 1225-1242 ◽  
Author(s):  
Carole Guillevin ◽  
◽  
Rémy Guillevin ◽  
Alain Miranville ◽  
Angélique Perrillat-Mercerot ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Lactate Kinetics ◽  
Brain Lactate

scholarly journals Brain lactate kinetics: Modeling evidence for neuronal lactate uptake upon activation

2005 ◽  
Vol 102 (45) ◽  
pp. 16448-16453 ◽  
Author(s):  
A. Aubert ◽  
R. Costalat ◽  
P. J. Magistretti ◽  
L. Pellerin
Keyword(s):  
Lactate Kinetics ◽  
Kinetics Modeling ◽  
Lactate Uptake ◽  
Brain Lactate

Theoretical support for the astrocyte-neuron lactate shuttle hypothesis. II. Modeling brain lactate kinetics

2005 ◽  
Vol 25 (1_suppl) ◽  
pp. S90-S90
Author(s):  
Agnès Aubert ◽  
Robert Costalat ◽  
Pierre J Magistretti ◽  
Luc Pellerin
Keyword(s):  
Lactate Shuttle ◽  
Lactate Kinetics ◽  
Theoretical Support ◽  
Brain Lactate

scholarly journals The stability analysis of brain lactate kinetics

2020 ◽  
Vol 13 (8) ◽  
pp. 2135-2143
Author(s):  
Jean-Pierre Françoise ◽  
◽  
Hongjun Ji ◽  
Keyword(s):  
Stability Analysis ◽  
Lactate Kinetics ◽  
The Stability ◽  
Brain Lactate

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).

A Course in Mathematical Analysis

2009 ◽  
Author(s):  
D. J. H. Garling
Keyword(s):  
Mathematical Analysis
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