Kseniya Fuhrman, Ph.D.
Professor and Vice Chairperson
- Milwaukee WI UNITED STATES
- Walter Schroeder Library: L319
- Mathematics
Dr. Kseniya Fuhrman's areas of expertise are applied mathematics and mathematical modeling.
Education, Licensure and Certification
Ph.D.
Mathematics
University of Wisconsin-Milwaukee
2008
M.S.
Mathematics
University of Wisconsin-Milwaukee
2003
B.S.
Management Computer Systems, Mathematics
University of Wisconsin-Whitewater
2001
Biography
Areas of Expertise
Accomplishments
Finalist, Oscar Werwarth Distinguished Teacher Award, MSOE
2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Graduate Marden Award for Research Paper
2004
GE Corporate Student Intern and Co-op Contribution Award (SICCA)
2003
Finalist, Falk Engineering Educator Award, MSOE
2009
Affiliations
- Mathematical Association of America (MAA) Wisconsin Section: Chair 2019-2020
Event and Speaking Appearances
"Progression of Numerical Techniques for Model Construction and Analysis," Contributed Talk
SMB Annual Meeting Montreal, Quebec, Canada
2019-07-22
"Mathematical Analysis of Oscillatory Network of Transcriptional Regulators as a Course Project"
MathFest 2018, the Annual Meeting of Mathematical Association of America Denver, CO
2018-08-01
"Can Typesetting Mathematical Notation Improve Student Learning"
MathFest 2017, the Annual Meeting of Mathematical Association of America Chicago, IL
2017-07-26
"Teaching Linear Independence with Process Oriented Guided Inquiry Learning (POGIL)"
Math Fest 2015, the Annual Meeting of Mathematical Association of America Washington DC
2015-08-05
"Mathematical Proficiency for Majoring in Actuarial Science and Operations Research"
Annual Meeting of Wisconsin Mathematics Council Green Lake, WI
2015-05-06
"Mathematical Biology: Introducing Students to Modern Applications of Mathematics"
Wisconsin Section Meeting of the Mathematical Association of America Marshfield, WI
2013-04-05
"Dynamics of a Virus-Host Model with an Intrinsic Quota"
Poster Presentation at Workshop for Young Researchers in Mathematics Biology Mathematical Biosciences Institute, Ohio State University
2010-08-30
"Academically Challenging High-Achieving Students."
Faculty & Staff In-Service, August, 2010 Milwaukee School of Engineering
"Factoring in all the Angles of Success in College Mathematics."
Wisconsin Mathematics Council Annual Conference Green Lake, WI
2010-05-05
Research Grants
Women in Mathematics
MAA Tensor Grant $1700
2014
SIAM Student Travel Grant
SIAM Conference on Life Sciences
2004
SAMSI Travel Grant
Program on Genomes to Global Health: Computational Biology of Infectious Diseases
2004
Travel Grant to attend Redraider Minisymposium
Texas Tech University, November, 2003
Grant to attend Redraider Minisymposium: Mathematical & Computational Modeling of Bioogical Systems
Selected Publications
Dynamics of a virus-host model with an intrinsic quota
Mathematical and Computer ModellingFuhrman, K.M., Pinter, G.A., Berges, J.A.
2011
In this work we develop and analyze a mathematical model describing the dynamics of infection by a virus of a host population in a freshwater environment. Our model, which consists of a system of nonlinear ordinary differential equations, includes an intrinsic quota, that is, we use a nutrient (e.g., phosphorus) as a limiting element for the host and potentially for the virus. Motivation for such a model arises from studies that raise the possibility that on the one hand, viruses may be limited by phosphorus (Bratbak et al.), and on the other, that they may have a role in stimulating the host to acquire the nutrient (Wilson). We perform an in-depth mathematical analysis of the system including the existence and uniqueness of solutions, equilibria, asymptotic, and persistence analysis. We compare the model with experimental data, and find that biologically meaningful parameter values provide a good fit. We conclude that the mathematical model supports the hypothesized role of stored nutrient regulating the dynamics, and that the coexistence of virus and host is the natural state of the system.
Asymptotic behavior of an SI epidemicmodel with pulse remova
Mathematical and Computer ModellingFuhrman, K.M., Lauko, I.G., Pinter, G.A.
2004
In this paper, we discuss an SI epidemic model with pulse removal from the infectiveclass at fixed time intervals with both exponential and logistic type underlying population dynamics. This model has significance when dealing with animal diseases with no recovery, or when we consider isolation in human diseases. We provide a rigorous analysis of the asymptotic behavior of the percentage of infected individuals, the total number of infected individuals, and the total population in our model. We show that periodic removal/isolation is a feasible strategy to control the spread of the disease.