Associate 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.
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.
2. 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.
3. 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.
4. 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.
5. A.E. Radunskaya and M. Villasana, " A Delay Differential Equation model for Tumor growth", The Journal of Mathematical Biology, V.47, 270-294 (2003).
6. 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 (Refereed).
7. 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).
8. 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).
9. 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) (Refereed)
10. L.G. de Pillis and A.E. Radunskaya, "The Multiple Scale Wave Equation", Math. Comput. Modelling, Vol.28, No.12, pp 33-80, 1998. (Refereed)
11. A.E. Radunskaya, "Computer Music", and
"Electronic Music", Encyclopedia of Science, Technology, and
Society, (1999)
12. 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)