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Papers
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Refereed journal and proceedings papers
- "Mechanisms for cell condensdation during early avian limb development,"
(with H.G.E. Hentschel), in Mathematical Modelling and Computing in
Biology and Medicine, V. Capasso, editor, Società
editrice Esculapio, Bologna (2003).
- "Optical design of one-reflector systems and the
Monge-Kantorovich mass transfer problem," (with V. Oliker),
J. Math. Sci.(N. Y.),
117 3, 4096-4108 (2003).
-
"
Dynamical mechanisms for skeletal pattern formation in the vertebrate limb,"
(with H.G.E. Hentschel, J.A. Glazier and S.A. Newman),
Proc. Royal Soc. Lond. B. 271, 1713-1722 (2004).
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"Optical design of two-reflector systems, the
Monge-Kantorovich mass transfer problem and Fermat's
principle," (with V. Oliker), Indiana Univ. Math. J. 53, 1255-1278 (2004).
-
"Stability of n-dimensional patterns in a generalized Turing system:
implications for biological pattern formation,"
(with M.S. Alber, H.G.E. Hentschel, B. Kazmierczak and S.A. Newman),
Nonlinearity 18, 125-138 (2005).
-
"On multiscale approaches to 3-dimensional modeling of morphogenesis,"
(with R.
Chaturvedi, C. Huang, B. Kazmierczak, T. Schneider, J. A. Izaguirre,
H.G.E. Hentschel, S. A. Newman, J. A. Glazier, M. Alber),
Journal of the Royal Society Interface 2, 237-253 (2005).
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"A Framework for Three-Dimensional Simulation of Morphogenesis,"
(with T. Cickovski, C. Huang, R. Chaturvedi, H.G.E. Hentschel,
M. Alber, J. A. Glazier, S. A. Newman and J. A. Izaguirre),
IEEE/ACM Transactions on
Computational Biology and Bioinformatics 2 3 (2005).
-
"On the supersymmetry group of the classical Bose-Fermi oscillator,"
(with R. Schmid), J. of Symmetry and Geometry in Physics
4, 45-58 (2005).
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"Multiscale dynamics of biological cells with chemotactic interactions:
from a discrete stochastic model to a continuous description,"
(with M. Alber, N. Chen and P.M. Lushnikov),
Phys. Rev. E (3) 73, no. 5, 051901, 11 pp. (2006).
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Two-dimensional Multiscale Model of Cell Motion in a Chemotactic Field
,"
(with M. Alber, N. Chen and P.M. Lushnikov),
in Single-cell-based Models in Biology and Medicine
edited by A.R.A. Anderson, M.A.J. Chaplain and K.A. Rejniak,
Birkh¨a user-Verlag, Mathematics and Biosciences in Interaction series (2007).
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From Genes to Organisms Via the Cell: A Problem-Solving Environment for Multicellular
Development
,"
(with T. Cickovski, K. Aras, M. Swat, R. Merks, M.H. Roeland,H.G.E. Hentschel,,
M. Alber, J. Glazier, S. Newman, J. Izaguirre),
in Computing in Science and Engineering
9 4, 50-60 (2007)
To appear
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On isoconcentration surfaces of three dimensional
Turing patterns
,"
(with H.G.E. Hentschel),
to appear in Int J of Chaos and Bifurcation
(2008)
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Multiscale Models for Vertebrate Limb Development,
"
(with S. A. Newman, S. Christley, H. G. E. Hentschel, B. Kazmierczak, Y.-T. Zhang,
J. Zhu, and M. Alber),
to appear in "Multiscale Modeling of Developmental Systems"
(Current Topics in Developmental Biology, vol. 81), edited
by Santiago Schnell, Philip K. Maini, Stuart A. Newman, Timothy Newman,
Elsevier (2007).
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"
The "Turing space" for a model of skeletogenesis in the vertebrate limb in the
morphostatic limit
,"
(with S. A. Newman, H. G. E. Hentschel, B. Kazmierczak, Y.-T. Zhang,
J. Zhu, and M. Alber),
to appear in Bulletin of Mathematical Biology
(2008).
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