Biomat 2010: International Symposium on Mathematical and by Rubem P. Mondaini

By Rubem P. Mondaini

This quantity comprises the chosen contributed papers of the BIOMAT 2010 overseas Symposium which has been geared up as a joint convention with the 2010 Annual assembly of the Society for Mathematical Biology by way of invitation of the Director Board of this Society. The works offered at educational and Plenary classes by way of specialist keynote audio system were additionally incorporated. This publication includes cutting-edge articles on precise learn subject matters on mathematical biology, organic physics and mathematical modelling of biosystems; accomplished reports on interdisciplinary parts written through sought after leaders of medical study teams. The remedy is either pedagogical and sufficiently complicated to reinforce destiny medical learn.

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Cremer, S. Dietzel, S. M¨ uller, I. Solovei and S. Fakan, Current Opinion in Cell Biology 18, 307 (2006). 14. J. Meaburn and T. Misteli, Nature 445, 379 (2007). 15. T. Y. Grosberg and K. Kremer, Physics Today 62, 72 (2009). 16. T. Blackstone, R. Arsuaga, Journal of Mathematical Biology, , (2010). 17. J. Dorier and A. Stasiak, Nucleic Acids Research 37, 6316 (2009). January 19, 2011 14:49 Proceedings Trim Size: 9in x 6in 002˙grosberg 28 18. -L. Sikorav and G. Jannink, Biophysical Journal 66, 827 (1994).

Capsomer types in icosahedral capsids In order to understand internal symmetries and construction scheme of prolate capsids with icosahedral caps, we must first recall the classification of icosahedral capsids. g. A. Zlotnick’s model 8 published in 1994. In capsids, the building blocks made of coat proteins are called monomers, dimers, trimers, pentamers and hexamers, according to their January 13, 2011 11:5 Proceedings Trim Size: 9in x 6in 003˙kerner 32 shape, the bigger ones usually being assembled from smaller ones prior to further agglomeration into capsid shells 10 .

E. 1, γ = 3ν, but let us continue the calculations for an arbitrary γ. Therefore, total number of blobs in contact is (N/g)(s/g)−γ = (N/sγ )g γ−1 . Here, we should digress to discuss what we mean by the “contact between blobs”. 5r(g) - the factor is not important), where r(g) is the gyration radius of the blob of g monomers. Now, let us consider monomer contacts instead of blob contacts. First, monomers do not contact if they belong to non-contacting blobs. Second, if two blobs are contact (in the above defined sense), then it is not obvious how many monomer contacts are there inside.

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