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.

Contact

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

Dr. Kseniya Fuhrman is a professor and vice chairperson of the Mathematics Department at MSOE, where she joined the faculty in 2006. She teaches a variety of courses to students of all majors, as well as courses for the actuarial science program.

Areas of Expertise

Applied Mathematics
Differential Equations
Mathematical Modeling
Mathematical Biology

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

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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

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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

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Selected Publications

Dynamics of a virus-host model with an intrinsic quota

Mathematical and Computer Modelling

Fuhrman, 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.

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Asymptotic behavior of an SI epidemicmodel with pulse remova

Mathematical and Computer Modelling

Fuhrman, 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.

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