Use of hybrid discrete cellular models for identification of macroscopic nutrient loss in reaction-diffusion models of tissues-Reference-Cited by-同舟云学术

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Use of hybrid discrete cellular models for identification of macroscopic nutrient loss in reaction-diffusion models of tissues

Published:2014-02-11 Issue:8 Volume:30 Page:767-780
ISSN:2040-7939
Container-title:International Journal for Numerical Methods in Biomedical Engineering
language:en
Short-container-title:Int. J. Numer. Meth. Biomed. Engng.

Author:

Aristotelous Andreas C.¹²,Haider Mansoor A.³

Affiliation:

1. Statistical and Applied Mathematical Sciences Institute (SAMSI); Research Triangle Park NC 27709 USA

2. Department of Mathematics; Duke University; Durham, NC 27708 USA

3. Department of Mathematics; North Carolina State University; Raleigh NC 27695 USA

Funder

National Science Foundation

Publisher

Wiley

Subject

Applied Mathematics,Computational Theory and Mathematics,Molecular Biology,Modeling and Simulation,Biomedical Engineering,Software

Reference27 articles.

1. Cartilage and diarthrodial joints as paradigms for hierarchical materials and structures;Mow;Biomaterials,1992

2. The impact of biomechanics in tissue engineering and regenerative medicine;Butler;Tissue Engineering: Part B,2009

3. Lecture Notes in Math., 704;Bourgat,1979

4. Numerical results on the homogenization of Stokes and Navier-Stokes equations modeling a class of problems from fluid mechanics;Conca;Computer Methods in Applied Mechanics and Engineering,1985

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1. Computational Modelling of Tissue-Engineered Cartilage Constructs;The Computational Mechanics of Bone Tissue;2020

2. Heterogeneity formation within biofilm systems;European Journal of Applied Mathematics;2018-07-16

3. A numerical study of biofilm growth in a microgravity environment;AIP Conference Proceedings;2017

4. A discontinuous Galerkin method for unsteady two-dimensional convective flows;AIP Conference Proceedings;2016

5. Diffusive transport through a model host-biofilm system;Physical Review E;2015-08-10

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