Faculty Fellows are the vital component of the coordinated collaborative structure of the IBA. They provide the rich and diverse expertise beyond the boundaries of their home institutions, creating this unique and vibrant foundation of the intellectual enterprise. Fellows join the IBA by invitation extended from the Board of Directors.
Below are the Faculty Fellows who are currently active within the IBA.
Research interests related to biomathematics:
Modeling with difference equations,
Genetic algorithms, Random graphs, algebraic graph theory, and
random gene regulatory networks, Curriculum development (graduate and
undergraduate biomathematics courses)
Olcay Akman*, Mathematics, Illinois State University
modeling, artificially intelligent networks, evolutionary computing,
genetic algorithms. Modeling in integrated pest management, disease
dynamics, quantitative analysis, stochastic gene regulatory networks,
Infections caused by antibiotic-resistant strains of
bacteria, especially in hospital wards. Stochastic differential equations with
agent-based modeling to create a simulation tool for testing resistance
prevention and control strategies in hospital wards. Also interested in other biomedical
applications of mathematical modeling: the formation of bacterial biofilms, and
their impact on the effectiveness of antibiotic treatment regimens, cancer progression
and chemotherapy, disease spread, immune
response to bacterial pathogens.
Timothy Comar, Mathematics, Benedictine University
The study of the dynamics of models of for integrated pest
management, diseases with vaccination strategies, other ecological
models, and gene regulatory networks using impulsive differential equations,
stochastic modeling, networks, agent-based modeling, and other discrete and
continuous models. Modeling biological phenomena with topological and
geometric structures, including knot theory.
Allison Harris, Physics, Illinois State University
study of biological networks. H
er research interests include: the
structure of networks; artificial neural networks (ANN) to produce atomic collision cross sections that are
used in proton therapy modeling. t
he effects of stochasticity in gene regulatory networks (GRN), ANN in understanding
Scaling behavior of GRN, computational GRN to
predict genetic mutation rates.
Cellular Signaling Pathways, Cellular Motility, Physical
Activity Measurement, Modeling of Infectious Diseases on Networks
Stochastic modeling of biological systems, impulsive differential
equations, agent-based modeling, Leslie matrices, integrated pest
management, gene regulatory networks.
Steve Juliano, Biology, Illinois State University
Community ecology (especially the roles of interspecific competition and predation in communities), ecology of mosquitoes, connections between behavioral, physiological, population and community ecology, applied statistics, and the application of mathematical tools to ecology.
Application of mathematical techniques to problems in biology, chemistry,
engineering, and business. Currently collaborating on a mathematical model (system
of differential equations) for a host parasite system in the upper Mississippi River
control theory to suggest mitigation strategies for multiple diseases in which
the types and costs of treatments are balanced. Parameter selection and evaluation, including studies in sensitivity analyses
using Latin Hypercube Sampling and PRCC values, parameter selection using
genetic algorithms, and techniques for model selection. Explorations
of agent based modeling, statistical
techniques to quantify and analyze the output from such models.
Differential Equations and Mathematical Biology. Relations between the thermal denaturation profiles of
DNA sequences and the location of promoters-regions of DNA providing a
control point for regulated gene transcription-and other significant
regulatory regions. Also working on models that describe DNA
configurations and dynamics. Disease models for Daphnia (waterflea). How community ecology, such as competitors and predators,
shape the epidemics.
* Executive Director
** Board of Directors member