Anthony Tongen
Vice Provost, Office of Research and Scholarship, James
Madison University
Research
Current: I am currently
performing research in the Research Areas listed below. If you
are interested in collaborating on anything math related, please do not
hesitate to contact me - I am a willing collaborator.
Research Areas (with publications):
Mathematical Biology
- Critical
threshold meal size and molt initiation in Rhodnius prolixus, with R.A.
Saenz, N. di Clemente, and J.E. Rabinovich, Physiological Entomology,
2017.
- A
periodic matrix population model for monarch butterflies, with E.
Hunt, Natural Resource Modeling, e12123, 2017.
- A two-sex matrix
population model to represent harem structure, with M. Zubillaga
and J.E. Rabinovich, Mathematical Biosciences and Engineering, 13(5):
1077-1092, 2016.
- Dynamics
of Locomotor Transitions from Arboreal to Terrestrial
Substrates in Verreaux's Sifaka (Propithecus verreauxi), with R.E.
Wunderlich, J. Gardiner, C.E. Miller, and D. Schmitt,
Integrative and Comparative Biology, 54(6): 1148-1158, 2014.
- And the dead shall
walk, but how?, with C.V. Johnson and S.M. Francis, Braaaiiinnnsss:
From Academics to Zombies (Ed. Robert Smith?), 2011
- Biomechanics
of Running and Walking, with R.E. Wunderlich, in Mathematics and
Sports, edited by Joe Gallian, Mathematical Association of America,
Washington, D.C., 313-325, 2010
- An Optimal Strategy
for Energy Allocation in a Multiple Resource Environment, with D.B.
Walton and B.P. Leard, Bulletin of Mathematical Biology,
72(5):1092-1123, 2010
- A 3-D Nonlinear
Anisotropic Spherical Inflation Model for Intracranial Saccular Aeurysm
Elastodynamics, with J.C. Daniel, D.A. Warne, and P.G. Warne,
Mathematics and Mechanics of Solids, 15:279-307, 2010
- A morpho-elastic
model of hyphal tip growth in filamentous organisms, with A.
Goriely and M. Tabor, Proceedings of the IUTAM Symposium on Cellular,
Molecular and Tissue Mechanics (Ed. K. Garikipati and E.M. Arruda),
Spring-Verlag, 2009
- Biomechanical
Model of Appressorial Design in Magnaporthe grisea, with A. Goriely
and M. Tabor, Journal of Theoretical Biology, 240(1):1-8, 2006
- Ethics Involved in Simulation-based Medical Planning, with M.
Adam, Ethics & Medicine, 22:1, 2006
Sowing Games
- Solitaire
Mancala Games and the Chinese Remainder Theorem, with B.C. Jones
and L.A. Taalman, American Mathematical Monthly, 120(8):706-724, 2013.
- Mancala
Matrices, with L.A. Taalman, B. Warren, F. Wyrick-Flax, and I.
Yoon, College Mathematics Journal, 44(4):273-283, 2013
Numerical Analysis and Dynamical Systems
- Reinventing
the Wheel: The Chaotic Sandwheel, with R.J. Thelwell and D.
Becerra-Alonso, American Journal of Physics, 81(2): 127-133, 2013
- Connections
between the Power Series Methods and Automatic Differentiation,
with D.C. Carothers, S.K. Lucas, G.E. Parker, J.D. Rudmin, J.S.
Sochacki, R.J. Thelwell, and P.G. Warne, In Recent Advanceds in
Algorithmic Differentiation, Eds. S. Forth et. al, Springer, 175-186,
2012
Materials Science
- Simulation
of Multigrain Thin Film Growth, with D.L. Chopp, Interfaces and
Free Boundaries, 8(1):1-19, 2006
- Interaction of Coherent Nanoscale Precipitates with Screw
Dislocations to Lower the Peierls Stress in Low Carbon Steels, with
M.E. Fine and M.S. Gagliano, The Minerals, Metals and Materials Society
Annual Meeting, March 2003