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Image Analytic and Mathematical Modeling of the Structure and Dynamics of Biological Tissues

The proposed project has three goals. The first is to develop computational tools for image analysis that will partially automate the acquisition of quantitative data from prepared slide images. The second is to develop mathematical models of the two biological systems based on the acquired data which explain the observed behaviors and predict the effects of external treatments on the systems. The third goal is to modify the treatments of the biological systems based on feedback from the models, thus increasing our understanding of the underlying biological processes.

Project Title:
Image Analytic and Mathematical Modeling of the Structure and Dynamics of Biological Tissues

Start Date:
Summer 2004

End Date:
Ongoing

Students:
2007
Alexandra Wehrman (Mathematics and Computer Science)
2005-2007
Michael Miller (Mathematics and Computer Science)
2004-2005
Kathleen Field (Mathematics)
Chris Miller (Computer Science and Biology)
Jason Hart (Computer Science)
Summer 2004
Kathleen Field (Mathematics)
Chris Miller (Computer Science and Biology)
Laura Hamilton (Computer Science)
Truc Nguyen (Computer Science)
Morgan Reutter (Biology)

Mentors:
Prof. Donald Bindner (Mathematics), EMAIL
Prof. Jason Miller (Mathematics), EMAIL
Prof. Jon Beck (Computer Science), EMAIL
Prof. Robert Baer (Physiology, ATSU), EMAIL
Prof. James Rhodes (Anatomy, ATSU), EMAIL

Accomplishments:

  • Chris Miller. "An Image Analytic Approach to Characterizing Vasculogenic Networks."
  • Truc Phong T. Nguyen. "Image Analysis for Cell Cycle Kinetics." Truman Student Research Conference. April 2005.
  • Laura Hamilton. "Image Analysis of Endothelial Networks." Truman Student Research Conference. April 2005.
  • Jason Hart. "Image Analytic Skeletonization of Vascular Networks." Truman Student Research Conference. April 2005.
  • Kathleen Field. "A Graph Theoretic Approach to Vascular Network Inhibition." Truman Student Research Conference. April 2005.
  • Field, Kathleen. "A Graph Theoretic Approach to the Morphometry of Vascular Networks." Mathematics Capstone Paper. May 2005.
  • Miller, Michael. "An Open Source Tool to Aid in the Characterization of the Structure of 2D Vascular Networks." Argonne Undergraduate Research Symposium. Argonne National Labs. Fall 2005.
  • Jason Miller. “Connectedness As a measure of Robustness.” Sigma Xi, Kirksville Chapter. November 17. 2006.
  • Miller, Michael. "An Open Source Tool to Aid in the Analysis of 2D Vascular Networks" Undergraduate Poster Session. Joint Mathematics Meeting, New Orleans. January 2007.

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This material is based upon work supported by the National Science Foundation's Interdisciplinary Training for Undergraduates in Biology and Mathematics program under Grant No. 0436348, "Research-focused Learning Communities in Mathematical Biology," and Grant No. 0337769, "Mathematical Biology Initiative." Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.