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Fall 2009 meeting of the Indiana Section of the Mathematical Association of America

Saturday, October 17, 2009

(Central Time Zone)

Purdue University Calumet
Academic Learning Center (South Campus)

 

 

 

Preliminary meeting schedule and abstracts: PDF (updated Oct. 13)

There will be a meeting of the Executive Board, Saturday afternoon, after the last talk.

Contributed Talks: A link to the web form was in the left menu bar.
Rooms for talks all have computer with projection display, laptop connections, opaque projector, and overhead projector for transparencies.

 

 

Lunch: Noon to 1:00. Lunch tickets were available until October 9 via the meeting registration process. Some tickets may also be available at the on-site registration.

Menu: Assorted sandwiches and wraps (veggie wraps available), chips, salad, beverages.

Using the EventBrite web form for registration and paying by credit card is preferred; however if you want to pay by check and register by mail, a paper form is available here:PDF.

 


Invited Talks

Title:  Paint by number: a visualization of complex functions

SpeakerMike Bolt, Calvin College

Abstract:  One challenge to understanding complex analysis is the difficulty one can have in forming an intuition for analytic functions. Frank Farris found a new way to visualize complex functions. The idea is to associate numbers with colors and to paint a domain with the values of the associated function. In this talk we describe different implementations of domain coloring and contrast it with the usual transformational approach. We also use domain coloring to illustrate some of the nice theorems in complex analysis. This includes some recent work with undergraduates that combines the transformational and domain coloring methods.

Bolt MAA Bolt MAA

Michael Bolt is an associate professor of mathematics at Calvin College in Grand Rapids, Michigan. In 2001 he earned his Ph.D. in complex analysis at the University of Chicago under the guidance of Sidney Webster. He previously held postdoctoral positions at the Max Planck Institute in Leipzig and the University of Michigan. The last two summers he has spent supervising students in undergraduate research. His research interests are in complex analysis in one and several variables.

Bolt MAA Bolt MAA

 


Title: A computational model for tumor-angiogenesis and intervention strategies for cancer

Speaker: Nicoleta Tarfulea, Purdue University Calumet

Abstract: In recent years, tumor-induced angiogenesis has become an important field of research because it represents a crucial step in the development of malignant tumors. The process is regulated by the interactions between various cell types such as endothelial cells and macrophages, and by biochemical factors. These include angiogenic promoters (e.g., vascular endothelial growth factor - VEGF) and inhibitors (angiostatin). A better understanding of its steps may contribute to the development of new cancer therapeutic strategies.

We present a hybrid mathematical model in which cells are treated as discrete units in a continuum field of a chemoattractant that evolves according to a system of reaction-diffusion equations, whereas the discrete cells serve as sources/sinks in this continuum field. It incorporates a realistic model for signal transduction and VEGF production and release, and gives insights into the aggregation patterns and the factors that influence stream formation. In particular, it serves as a tool for investigating tumor-vessel signaling and the role of mechano-chemical interactions of the cells with the substratum.


Nicoleta Tarfulea earned her Master's degree in 2005 and doctorate in Mathematics with emphasis in Industrial and Applied Math in 2006 from the University of Minnesota. She joined the faculty at Purdue University Calumet in August 2006 as assistant professor of mathematics in the Department of Mathematics, Computer Science and Statistics.
Her general research interests include the areas of Mathematical Biology and Numerical Analysis with particular accent on Numerical Methods in differential equations. In particular, she works on the development and analysis of accurate mathematical models for different biological processes using techniques from dynamical system theory, bifurcation theory, and other areas of mathematics, such as multi-dimensional system reduction and singular perturbation theory. In addition, numerical simulations are employed to develop and verify analytical results, to confirm existing biological experiments, and make testable predictions.

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