Professor
of Mathematics, Pomona College
Research:
Dynamical systems, ergodic theory, and
stochastic processes. Applications
of dynamical systems to instrument modeling, sound generation, and interactive
composition. Mathematical modeling
and analysis of non-linear models.
Mathematical models of tumor growth and immunotherapy.
1.
C.
Dubois, J. Farnham, E. Aaron and A.
Radunskaya, “A Multiple
Time-scale Computational Model of a Tumor and Its Micro Environment”, Mathematical Biosciences and
Engineering, 10 (1). February, 2013. DOI:10.3934/mbe.2013.10.xx
2.
A. Radunskaya and S. Hook, “Modeling the
Kinetics of the Immune Response,
9.
A. Radunskaya, R. Williamson, and R.
Yinger. “A Dynamic Anlaysis of the
Stability of a Network of Induction Generators”, IEEE Transactons on Power
Systems, Vol. 23, No. 2, pp. 657-663. May 2008. DOI: 10.1109/TPWRS.2008.919435.
pdf
10.
L.G.
de Pillis, A. E. Radunskaya and C.L.
Wiseman. “Comment on: A Validated Mathematical Model of Cell-Mediated Immune
Response to Tumor Growth”, Cancer Research, Vol. 67, No. 17 (2007) pp. 8420.
11.
L.G.
de Pillis D.G. Mallet and A.E. Radunskaya,
"Spatial Tumor-Immune Modeling" (reprint), special issue devoted to Cancer and
Medical Treatment Modelling in the Journal Computational and Mathematical
Methods in Medicine, Vol. 7, No. 2-3, June-September 2006, pp.159-176.
12.
L.G.
de Pillis and A.E. Radunskaya, “Some
Promising Approaches to Tumor-Immune Modeling”, Mathematical Studies on Human
Disease Dynamics: Emerging Paradigms and Challenges, AMS Contemporary
Mathematics Series, in press.
13.
L.G.
de Pillis, W. Gu and A.E. Radunskaya,
"Mixed Immunotherapy and Chemotherapy of Tumors: Modeling Applications and
Biological Interpretations" (reprint) , Journal
of Theoretical Biology, Vol. 238, No. 4, pp.841-862, Feb 2006, available online
September 8, 2005.
14.
L.G.
de Pillis , A.E. Radunskaya and C.L.
Wiseman, "A Validated Mathematical Model of Cell-Mediated Immune
Response to Tumor Growth" (pdf) Cancer Res. 2005 65: 7950-7958.
15. A.E. Radunskaya
and M. Villasana, " A Delay Differential
Equation model for Tumor growth", The
Journal
of Mathematical Biology, V.47, 270-294 (2003).
16.
L.G.
de Pillis and A.E. Radunskaya, "The
Dynamics of an Optimally Controlled Tumor Model: A Case Study",
Mathematical and Computer Modelling, Vol.37, No.11, pp.1221-1244, June 2003
17.
L.G.
de Pillis and A.E. Radunskaya, "A Mathematical Model of Immune Response to
Tumor Invasion", Computational Fluid and Solid Mechanics 2003, Proceedings
of the Second M.I.T. Conference on Computational Fluid Dynamics and Solid
Mechanics, pp.1661-1668, June 2003 (Conference Proceedings).
18.
L.G.
de Pillis , A.E. Radunskaya, and C.L. Wiseman, "A Validated Computer Model
of the Cell-mediated Responses to Vaccine Therapy of Three Tumor Systems in the
C57B/6 Mouse", Journal of Immunotherapy, Vol.25,No.6, Nov/Dec 2002.
(Published Abstract).
19.
L.G.
de Pillis and A.E. Radunskaya,
"A Mathematical Tumor Model with Immune Resistance and Drug Therapy: An
Optimal Control Approach", Journal of Theoretical Medicine, Vol. 3,
pp.79-100, 2001. (Also Argonne National Laboratory Preprint ANL/MCS-P805-0400)
20.
L.G.
de Pillis and A.E. Radunskaya, "The Multiple Scale Wave Equation",
Math. Comput. Modelling, Vol.28, No.12, pp 33-80, 1998.
21. A.E. Radunskaya,
"Computer Music", and "Electronic Music", Encyclopedia of Science, Technology, and
Society, (1999)
22. A.E. Radunskaya,
``Comparing Random and Deterministic Time Series", Economic Theory, Vol. 4, pp765-774, (1994)
Technical Reports and Proceedings, Newsletter Articles, On
Line Publications
1.
A.E.Radunskaya
“It’s
about time” Claremont Student, Op.Ed. Dec. (2004)
2.
E.Buchla, B.Crabtree, A.E.Radunskaya "A Real-Time
Implementation of the non-linear FPU String Model", Proceedings of the
2003 "Capire la Music" Conference, (abstract only) (2003) http://www.unina2.it/capirelamusica.sun/homesun.htm
3.
A.E.Radunskaya
"A Small Set of Strategies for Increasing Diversity in Graduate Programs
in Mathematics", MER Newsletter, Vol. 15, N. 3 (2003).
4.
L.dePillis, A.Radunskaya “Mathematical Modeling and
Scientific Computing: Learning Modules” KUCSEC project, "Modeling Tumor-Immune
Interactions", http://www.capital.edu/acad/as/csac/Keck/modules.html.
5.
L. dePillis, A.Radunskaya, “Mathematical Modeling
and Scientific Computing: Learning Modules” KUCSEC project, “Fourier
Transforms, Fourier Series, and the FFT”, http://www.capital.edu/acad/as/csac/Keck/modules.html.
6.
L.G.de Pillis and A.E. Radunskaya "A Model of Tumor
Growth with Optimal Control", Argonne National Labs, Technical
Report, (2000)
7.
A.
Radunskaya ``Practical Tests for Dynamical Invariants". Technical Report, Institute of the
Exchange of Scientific Information, Torino, Italy, (1997).
8.
A.
Radunskaya, ``Chaos and Nonlinear Models", ICMC Proceedings, Hong-Kong, (1996)
9.
A. Radunskaya, ``Computer Aided Control Line
Encoding". Technical Report,
AT&T Bell Labs, (1985)