Published papers:

(14) Dynamical Behavior and Influence of Stochastic Noise on Certain Generalized Boolean Networks (with Gary Beck). Physica A: Statistical Mechanics and its Applications, Volume 387, Issues 19-20, August 2008, Pages 4947-4958, PDF, DOI

(13) A Spatial SIRS Boolean Network Model for the Spread of H5N1 Avian Influenza Virus among Poultry Farms (with A. Kasyanov, L. Kirkland). Proceedings of the Fifth International Workshop on Computational Systems Biology, WCSB 2008, p. 73-76. PDF and WCSB08 proceedings

(12) Dynamics of Directed Boolean Networks under Generalized Elementary Cellular Automata Rules, with Power-Law Distributions and Popularity Assignment of Parent Nodes (with Ray Goodman). Complex Systems, Vol 17 (4), 2008, 357-379. PDF

(11) The Stabilizing Effect of Noise on the Dynamics of a Boolean Network (with Chris Goodrich). Physica A 379 (2007), p. 334 - 356. PDF

(10) Clinical Experience and Examination Performance: Is There a Correlation?, (coauthors: G. Beck, C. Riha, K. Kerber, F.A. McCurdy), Medical Education 41 (2007) 550-555. original word file, and Association for the Study of Medical Education and Blackwell Publishing pdf (to be posted until May 2008 only). The definitive version is available at www.blackwell-synergy.com .

(9) Dynamics of Asynchronous Random Boolean Networks with Asynchrony Generated by Stochastic Processes, (coauthors: H. Geng, X. Deng), BioSystems 88 (2007), p. 16 - 34. PDF

(8) Asynchronous Random Boolean Network Model with Variable Number of Parents based on Elementary Cellular Automata Rule 126, IJMPB, Vol. 20, 8 (30 March 2006), p. 897-923.PDF

(7) Operator Self-Similar Processes on Banach Spaces, JAMSA 2006 (2006), p. 1-18 (coauthor: V. Matache).PDF

(6) Asynchronous random Boolean network model based on elementary cellular automata rule 126, Physical Review E 71, 026232 (2005) (coauthor: J. Heidel). PDF

(5) Queuing Systems with Multiple FBM-Based Traffic Models, ANZIAM J., 46(2005), p. 361-377 (coauthor: V. Matache).PDF

(4) A Random Boolean Network Model Exhibiting Deterministic Chaos, Physical Review E 69 , 056214 (2004) (coauthor: Jack Heidel).PDF

(3) Hilbert Spaces Induced by Toeplitz Covariance Kernels, Stochastic Theory and Control, LNCIS(2002), Springer-Verlag Berlin Heidelberg, p. 319-333 (coauthor: V. Matache).PDF

(2) Queueing Systems with Fractional Brownian Motion - Based Input Traffic Models, Proceedings of the Southeastern Symposium on System Theory, Tallahassee, FL, March 2000, p. 254-264.

(1) Analysis and Modeling of ATM Traffic Data, Proceedings of American Control Conference, San Diego, CA, June 1999 (coauthors: Yi Chu, Tyrone E. Duncan, Bozenna Pasik-Duncan, Peter Zimmer).

Submitted papers:

On the Sensitivity to Noise of a Boolean Function (coauthor: V. Matache)

Work in progress:

Stochastic Coupling and Synchronization of Certain Generalized Boolean Networks.

Kerrigan Research Minigrant Students:

Students working with me under the Kerrigan Research Minigrant Program at UNO.

2004-2005: Humin Geng's project, Xutao Deng's project.

2005-2006: Ray Goodman's project, Chris Goodrich's project

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Master of Arts theses:

Gary Beck, Fall 2006: Gary Beck's thesis (pdf),

Research Experiences in Mathematics: Summer Course for High School Students

Topics in Dynamical Systems and Chaos. Applications to Boolean Networks : The class, (MATH 3500-401, Selected Topics), will meet Monday through Friday, 1:00-2:35, during the second day summer session: 07/13/09--08/14/09 in Durham Science Center (DSC) 213. Please see the attached Flyer with a brief description (pdf), or the actual class material (pdf - big file!) to be made available to the students.