Work in progress:
- (18) Mean-Field Boolean Network Model of a Signal Transduction Network (with Naomi Kochi), Biosystems, Volume 108, Issues 1-3, April-June 2012, Pages 14-27.
- (17) A Multi-Agent Prediction Market Based on Boolean Network Evolution (with Janyl Jumadinova, and Prithviraj Dasgupta),
Proceedings of the 2011 IEEE/WIC/ACM International Conference on Web Intelligence and Intelligent Agent Technology (WI-IAT), 171-179
- (16) When is the numerical range of a nilpotent matrix circular? (with V. Matache). Appl. Math. Comput. 216 (2010), no. 1, 269--275,
- (15) On the Sensitivity to Noise of a Boolean Function (with V. Matache). J. Math. Phys. 50 103512 (2009),
- (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,
- (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
- (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. Definitive version at
- (9) Dynamics of Asynchronous Random Boolean Networks with Asynchrony Generated by
Stochastic Processes, (coauthors: H. Geng, X. Deng), BioSystems 88 (2007), p. 16 - 34.
- (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),
- (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)
- (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).
- Phase Diagram of Heterogenous Kauffman Networks.
- Small World Properties of Facebook Group Networks (with Jason Wohlgemuth).
- Phase transition of Boolean networks with partially nested canalizing functions (with Kayse Jansen).
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
- 2010-2011: Naomi Kochi's project,
Janyl Jumadinova's project
- 2011-2012: Jason Wohlgemuth's project,
Rodney Tembo's project
Master of Arts theses under my guidance:
- Gary Beck, Fall 2006: Dynamics of random Boolean networks governed by a generalization of rule 22 of elementary cellular automata (pdf)
- Beth Ball, Spring 2011: Dynamic Spread of Social Behavior in Boolean Networks (pdf)
- Jason Wohlgemuth, Summer 2012: Small World Properties of Facebook Group Networks (pdf)
- Kayse Jansen, Fall 2012 (in progress): Phase transition of Boolean networks with partially nested canalizing functions (pdf)
- Naomi Kochi (current): Mathematical Modeling and Analysis of a Complex Signal Transduction Network
- Janyl Jumadinova (current): Aggregation of the Distributed, Heterogeneous Information using Market-based Techniques