An Introduction to Cancer Modeling with Optimal Control
Park City Mathematics Institute
Undergraduate Course, June 27-July15, 2005

Instructor: Lisette de Pillis
Assistant Instructor: Angela Gallegos
Lecture Time: M-F 9:40am - 10:40am
Location: Coalition 1 & 2
Working Session Time: Announced Daily

  • Lecture 1
  • Syllabus
  • Cancer Statistics PPT Presentation from the American Cancer Society (ppt)
  • Philip's Story: A Diary of TC (html)
  • Workshop for Lecture 1
  • Growth Worksheet
  • Growth Worksheet Answers
  • Solutions
  • Immune System Background
  • Questions for Immune System Background
  • Answers for Immune System Background
  • Medical Glossary
  • Project Description

  • Lecture 2
  • Intro To Immune System (pdf)
  • Intro to ODE Modeling (ppt)
  • Workshop for Lecture 2
  • 1D Stability Worksheet
  • 1D Stability Worksheet Answers
  • Solutions

  • Lecture 3
  • Tumor-Immune Equation Development (pdf)
  • DePillis-Rad 2003 Paper (pdf)
  • No Workshop Today

  • Lecture 4
  • Qualitative Analysis (pdf)
  • Workshop for Lecture 4
  • Phase Planes in Matlab
  • Solving ODEs with Matlab

  • Lecture 5
  • Parameter Estimation (pdf)
  • Workshop for Lecture 5
  • David Arnold: Parameter Estimation with the Logistic Equation (pdf)
  • Qualitative Analysis Exercises
  • Solutions

  • Lecture 6
  • Nondimensionalization (pdf)
  • Workshop for Lecture 6
  • Bacterial Growth Nondimensionalization(ppt)
  • Nondimensionalization Exercises
  • Solutions

  • Lecture 7
  • Bifurcation Analysis Intro
  • Workshop for Lecture 7
  • Bifurcation Exercises
  • Solutions

  • Lecture 8
  • Philip Maini: guest lecture today
  • No Workshop for Lecture 8

  • Lecture 9
  • Bifurcation Analysis: Kuznetsov Model
  • No Workshop for Lecture 9

  • Lectures 10 through 12
  • Optimal Control Notes
  • Workshop for Lecture 10: Computer Exercises

  • Lecture 13
  • Research Presentation by de Pillis: Tumor Modeling

  • Lecture 14
  • Student Paper Presentations