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structure and RNA aptamer structure
- N.Morikawa, Number sequence representation of protein
structures based on the second derivative of a folded tetrahedron
sequence. ArXiv: q-bio.BM/0610017
Local feature detection in protein and RNA
aptamer structures based on differential geometry of tetrahedron
sequences (manuscript, 2007). [pdf] (14
pages with 5 figures and 3 tables, 532 KB)
Systematic analysis of local flexibility of multiple-structure proteins
pages with 9 figures and 3 tables, 1.3 MB, 2008)
words with 8 figures, 6 tables, and 3 supplements, 1.3 MB, 2009)
V.Venkatraman, D.W.Ritchie, N.Morikawa, R.Andonov,
J.Nicolas, M.Temerinac-Ott, M.Reisert, H.Burkhardt, A.Axenopoulos, and
P. Daras, SHREC’10
Track: Protein Models, Eurographics Workshop on 3D Object
Retrieval (Editors: I. Pratikakis, M. Spagnuolo, T. Theoharis, and R.
Veltkamp) (2010). [pdf] (2.4MB)
A novel method for identification of local
conformational changes in proteins.
(6 pages with 5 figures, 528 KB) [Supplement]
Discrete differential geometry of N-simplices
- N.Morikawa, Discrete differential geometry of proteins: A
new method for encoding three-dimensional structures of proteins.
- N.Morikawa, Discrete differential geometry of triangle
tiles and algebra of closed trajectories. ArXiv: math.CO/067051
Discrete differential geometry of tetrahedrons and encoding of local
protein structure. ArXiv: 0710.4596
Discrete differential geometry of N-simplices. (manuscript, 2008) [pdf]
Discrete differential geometry of n-simplices
and protein structure analysis. Applied Mathematics, 5, 2458-2463.
Mathematics of a tetrahedron chain and the Hamiltonian cycle problem. (manuscript, 2015) [pdf]
Discrete Differential Geometry of Triangles and Escher-Style Trick Art, 6, 161-166.
Discrete Differential Geometry and the Structural Study of Protein Complexes. Open Journal of Discrete Mathematics, 7, 148-164.
- N.Morikawa, Sub(Z) implementation of biological activities
conducted by proteins. (manuscript, 2004). [pdf] (164 KB)
- N.Morikawa, Toward Sub(Z^N) implementation of
protein-protein interactions. (manuscript, 2004). [pdf] (804 KB)
- N.Morikawa, Polynomial representation of DNA and proteins.
(manuscript, 2003). [pdf]
(524 KB, gzipped)
- N.Morikawa, Research project: toward Galois theory of
protein-like objects. (manuscript, 2003). [pdf] (1.2 MB)
- N.Morikawa, Research project: protein as numbers.
(manuscript, 2004). [pdf]
- N.Morikawa, Algebra and analysis of proteins. (poster at
GRC on theoretical biology & Biomathematics, 2004). [ppt] (1.5 MB)
- N.Morikawa, Polynomial representation of DNA and Proteins:
hetero number theory. (picture book, 2004) [pdf] (1.4
- N.Morikawa, Some mathematical problems in proteomics.
(manuscript in japanese, 2006). [pdf]
Discrete differential geometry of tetrahedron
tiles and local protein structure. The
and manuscript of the
lecture at the 4th Int'l conf. of app. math. and
computing, Aug. 12-18, 2007,
Plovdiv Bulgaria. [html],
Algebra of affine closed trajectories of triangles - Introduction to
Hetero numbers (1) -. The
and manuscript of a talk, Oct. 21, 2007. [html],