Mathematical analysis of an SIR network model with imperfect vaccination and varying size of population

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

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100168542 ◽

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

10.1017/cbo9781139424516 ◽

2009 ◽

Author(s):

D. J. H. Garling

Keyword(s):

Mathematical Analysis

A Network Model for Optimizing two Echelon Multi-Item Repair Level Decisions

The Journal of Cost Analysis ◽

10.1080/08823871.1991.10462387 ◽

1991 ◽

Vol 8 (1) ◽

pp. 77-90

Author(s):

W. Steven Demmy ◽

Lawrence Briskin

Keyword(s):

Network Model

Explaining false memory with a network model

PsycEXTRA Dataset ◽

10.1037/e536982012-616 ◽

1997 ◽

Author(s):

Kisok Kim

Keyword(s):

False Memory ◽

Network Model