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Single-Cell-Based Models in Biology and Medicine pp 151–167Cite as

The Glazier-Graner-Hogeweg Model: Extensions, Future Directions, and Opportunities for Further Study

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Abstract

One of the reasons for the enormous success of the Glazier-Graner-HogewegGlazier-Graner-Hogeweg Model (GGH) model is that it is a framework for model building rather than a specific biological model. Thus new ideas constantly emerge for ways to extend it to describe new biological (and non-biological) phenomena. The GGH model automatically integrates extensions with the whole body of prior GGH work, a flexibility which makes it unusually simple and rewarding to work with. In this chapter we discuss some possible future directions to extend GGH modeling. We discuss off-lattice extensions to the GGH model, which can treat fluids and solids, new classes of model objects, approaches to increasing computational efficiency, parallelization, and new model-development platforms that will accelerate our ability to generate successful models. We also discuss a non-GGH, but GGH-inspired, model of plant development by Merks and collaborators, which uses the Hamiltonian and Monte-Carlo approaches of the GGH but solves them using Finite Element (FE) methods.

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Author information

Authors and Affiliations

  1. Biocomplexity Institute and Department of Physics, Indiana University, Swain Hall West 117, 727 East Third Street, Bloomington, Indiana, 47405-7105, USA

    Ariel Balter, Nikodem J. Popławski, Maciej Swat & James A. Glazier

  2. Department of Plant Systems Biology, VIB Technologiepark 927, B-9052, Ghent, Belgium

    Roeland M. H. Merks

  3. Department of Molecular Genetics, Ghent University, Ghent, Belgium

    Roeland M. H. Merks

Authors
  1. Ariel Balter
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  2. Roeland M. H. Merks
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  3. Nikodem J. Popławski
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  4. Maciej Swat
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  5. James A. Glazier
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Editor information

Editors and Affiliations

  1. Division of Mathematics, University of Dundee, 23 Perth Road, Dundee, DD1 4HN, UK

    Dr. Alexander R. A. Anderson, Prof. Mark A. J. Chaplain & Dr. Katarzyna A. Rejniak,  & 

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© 2007 Birkhäuser Verlag Basel/Switzerland

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Balter, A., Merks, R.M.H., Popławski, N.J., Swat, M., Glazier, J.A. (2007). The Glazier-Graner-Hogeweg Model: Extensions, Future Directions, and Opportunities for Further Study. In: Anderson, A.R.A., Chaplain, M.A.J., Rejniak, K.A. (eds) Single-Cell-Based Models in Biology and Medicine. Mathematics and Biosciences in Interaction. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8123-3_7

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