Works (3)

Updated: July 5th, 2023 15:46

2016 journal article

Solving optimal control problems with control delays using direct transcription

APPLIED NUMERICAL MATHEMATICS, 108, 185–203.

By: J. Betts*, S. Campbell n & K. Thompson n

author keywords: Delay; Optimal control; Direct transcription; Numerical methods
TL;DR: A new technique for treating control delays when using a direct transcription approach is investigated in this paper. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2014 journal article

Lobatto IIIA methods, direct transcription, and DAEs with delays

NUMERICAL ALGORITHMS, 69(2), 291–300.

By: J. Betts*, S. Campbell n & K. Thompson n

author keywords: Optimal control; Delays; Direct transcription; Numerical discretizations; Stability
TL;DR: This work shows that this undesirable behavior of LobattoIIIA methods reported in the literature is tied to the use of Lagrange interpolation and their use in an ODE integrator. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2011 journal article

A phenomenological mixture model for biosynthesis and linking of cartilage extracellular matrix in scaffolds seeded with chondrocytes

Biomechanics and Modeling in Mechanobiology, 10(6), 915–924.

By: M. Haider n, J. Olander n, R. Arnold n, D. Marous n, A. McLamb n, K. Thompson n, W. Woodruff n, J. Haugh n

author keywords: Tissue engineering; Articular cartilage; Mathematical model; Degradation
MeSH headings : Cartilage / metabolism; Chondrocytes / metabolism; Extracellular Matrix / metabolism; Models, Biological; Porosity; Tissue Scaffolds / chemistry
TL;DR: A phenomenological mixture model is presented for interactions between biosynthesis of extracellular matrix (ECM) constituents and ECM linking in a scaffold seeded with chondrocytes and provides an additional quantitative framework for assessing and optimizing the design of engineered cell-scaffold systems and guiding strategies for articular cartilage tissue engineering. (via Semantic Scholar)
Sources: Web Of Science, Crossref, NC State University Libraries
Added: August 6, 2018

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