Floyd B. Hanson


Professor Emeritus
Laboratory for Advanced Computing
Laboratory for Control and Information
Department of Mathematics, Statistics, and Computer Science
University of Illinois at Chicago


Annotated Publications in
Stochastic Modeling in Biology and Medicine

(Most recent papers have preprint links.)

Some of our important results concern stochastic modeling for biological and medical applications, many using computational stochastic dynamic programming, and much of it has been supported by a series of National Science Foundation Awards (See acknowledgements below). Preprints of most recent papers, marked by highlighted titles, are downloadable by clicking on the highlighted title.


13. F. B. Hanson and H. C. Tuckwell, Persistence Times of Populations with Large Random Fluctuations, Theor. Population Biol., vol. 14, pp. 46-61, 1978.

16. C. Tier and F. B. Hanson, Persistence of Density Dependent Stochastic Populations, Math. Biosci., vol. 53, pp. 89-117, 1981.

17. F. B. Hanson and H. C. Tuckwell, Logistic Growth with Random Density Independent Disasters, Theor. Population Biol., vol. 19, pp. 1-18, 1981.

18. F. B. Hanson and C. Tier, A Stochastic Model of Tumor Growth, Math. Biosci., vol. 61, pp. 73-100, 1982.

20. F. B. Hanson and C. Tier, Harvesting Under Small Demographic Uncertainty, Lecture Notes in Biomathematics 52, pp. 401-406, 1983.

21. F. B. Hanson and H. C. Tuckwell, Diffusion Approximation for Neuronal Activity Including Reversal Potentials, J. Theor. Neurobiol., vol. 2, pp. 127-153, 1983.

22. D. Ryan and F. B. Hanson, Optimal Harvesting in Disastrous Environments, in Mathematical Models of Renewable Resources, vol. II, edited by R. Lamberson, The Humboldt State University Mathematical Modeling Group, Arcata, Cal., pp. 171-177, 1984.

23. D. Ryan and F. B. Hanson, Poisson search and harvesting, in Mathematical Models of Renewable Resources, vol. III, edited by R. Lamberson, The Humboldt State University Mathematical Modeling Group, Arcata, Cal., pp. 109-112, 1984.

24. F. B. Hanson and D. Ryan, Optimal Harvesting in a Stochastic Environment with Density Dependent Jumps, in Mathematical Models of Renewable Resources, vol. III, edited by R. Lamberson, The Humboldt State University Mathematical Modeling Group, Arcata, Cal., pp. 117-123, 1984.

25. D. Ryan and F. B. Hanson, Optimal Harvesting with Exponential Growth in an Environment with Random Disasters and Bonanzas, Math. Biosci., vol. 74, pp. 37-57, 1985.

26. D. Ryan and F. B. Hanson, Optimal Harvesting of a Logistic Population in an Environment with Stochastic Jumps, J. Math. Biol., vol. 24, pp. 259-277, 1986.

29. F. B. Hanson, Bioeconomic model of the Lake Michigan alewife fishery, Can. J. Fish. Aquat. Sci., vol. 44, suppl. 2, pp. 298-305, 1987.

30[NRM88]. F. B. Hanson and D. Ryan, Optimal harvesting with density dependent random effects, Natural Resource Modeling, vol. 2, pp. 439-455, 1988.

35[MBS89]. F. B. Hanson and D. Ryan, Mean and Quasi-Deterministic Equivalence for Linear Stochastic Dynamics, Math. Biosci., vol. 93, pp. 1-14, 1989.

63[JMB97]. F. B. Hanson and H. C. Tuckwell, Population Growth with Randomly Distributed Jumps, J. Math. Biology, vol. 36(2), pp. 169-187, December 1997.

64[MBS98]. F. B. Hanson and D. Ryan, Optimal Harvesting with Both Population and Price Dynamics, Mathematical BioSciences, vol. 148, issue 2, pp. 129-146, March 1998.

81[KU02cancer]. J. J. Westman, B. R. Fabijonas, D. L. Kern, and F. B. Hanson, Probabilistic Rate Compartment Cancer Model: Alternate versus Traditional Chemotherapy Scheduling, in Stochastic Theory and Control, Proceedings of a Workshop held in Lawrence, Kansas, October 18-20, 2001, Lecture Notes in Control and Information Sciences, B.Pasik-Duncan (Editor), Springer-Verlag, New York, pp. 491-506, 24 July 2002 (invited paper).

82[MTNS02]. J. J. Westman, t. R. Fabijonas, D. L. Kern, and F. B. Hanson, Cancer Treatment Using Multiple Chemotherapeutic Agents Subject to Drug Resistance, Proceedings of the 15th International Symposium on Mathematical Theory of Networks and Systems, 6 CD pages, 12 August 2002.

93[ACC05] Siddhartha P. Chakrabarty and Floyd B. Hanson, Optimal Control of Drug Delivery to Brain Tumors for a Distributed Parameters Model, Proceedings of 2005 American Control Conference, pp. 973-978, 08 June 2005.

94[CDC05] Floyd B. Hanson and Siddhartha P. Chakrabarty, Optimal Control of Drug Delivery to Brain Tumors for a PDE Driven Model Using the Galerkin Finite Element Method , Proceedings of Joint 44th IEEE Conference on Decision and Control and European Control Conference, pp. 1613-1618, 12 December 2005.

98[CDC06] Siddhartha P. Chakrabarty and Floyd B. Hanson, Cancer Drug Delivery in Three Dimensions For a Distributed Parameter Control Model Using Finite Elements , Proceedings of 45th Conference on Decision and Control , pp. 2088-2093, San Diego, CA, December 2006.

101[MBS09]. Siddhartha P. Chakrabarty and Floyd B. Hanson, "Distributed Parameters Deterministic Model for Treatment of Brain Tumors Using Galerkin Finite Element Method ," Mathematical Biosciences, pp. 1-54, accepted for publication, 27 March 2009.


Acknowledgements


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June 1, 1998