From Geomodels to Engineering Models—Opportunities for Spreadsheet Computing

Sustainable transition to low carbon and zero waste economy requires a macroscopic evaluation of opportunities and impact of adopting emerging technologies in a region. However, a full assessment of current...

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Systems engineering models of human-machine interaction

Mathematics and Computers in Simulation ◽

10.1016/0378-4754(82)90081-7 ◽

1982 ◽

Vol 24 (4) ◽

pp. 353

Keyword(s):

Systems Engineering ◽

Human Machine Interaction ◽

Engineering Models ◽

Machine Interaction

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A Bayesian Approach to Combining Conditional Demand and Engineering Models of Electricity Usage

Review of Economics and Statistics ◽

10.2307/1925531 ◽

1987 ◽

Vol 69 (3) ◽

pp. 438 ◽

Cited By ~ 17

Author(s):

Douglas W. Caves ◽

Joseph A. Herriges ◽

Kenneth E. Train ◽

Robert J. Windle

Keyword(s):

Bayesian Approach ◽

Engineering Models

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Alignment Localization in Nonlinear Biological Media

Journal of Biomechanical Engineering ◽

10.1115/1.4024199 ◽

2013 ◽

Vol 135 (7) ◽

Cited By ~ 21

Author(s):

Leonard M. Sander

Keyword(s):

Unique Feature ◽

Small Region ◽

Large Strains ◽

Finite Element Code ◽

Challenging Problem ◽

Biological Media ◽

Tumor Microenvironments ◽

Cancer Tumor ◽

Engineering Models ◽

Nonlinear Nature

Cells imbedded in biopolymer gels are important components of tissue engineering models and cancer tumor microenvironments. In both these cases, contraction of cells attached to the gel is an important phenomenon, and the nonlinear nature of most biopolymers (such as collagen) makes understanding the mechanics of the contraction a challenging problem. Here, we investigate a unique feature of such systems: a point source of contraction leads to substantial deformation of the environment, but large strains and large alignment of the fibers of the gel are confined to a small region surrounding the source. For fibroblasts in collagen-I, we estimate that the radius of this region is of order 90 μ. We investigate this idea using continuum estimates and a finite element code, and we point out experimental manifestations of the effect.

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