Course title Complex fluids and soft structures in the human body
Course Offering: Math 891.006
Instructor of Record: Greg Forest (Jia Zhao, postdoc in Forest group, unofficial co-lecturer)
Also offered as:  
Instructor of Record:  
Also offered as: APS 891.006
Instructor of Record: Daphne Klotsa
Also offered as:  
Instructor of Record:  
Course description The objectives of this course are to:  Discuss the diversity of human biological materials that lie in the realm of complex fluids and soft materials; Develop continuum and stochastic models for how such materials behave in equilibrium or under loads at the molecular to continuum scales; Discuss experimental data for such materials and the role that mathematical models play in understanding biological materials and in being able to predict their behavior in physiologically relevant conditions.
Prerequisites current enrollment in graduate program of any participating Department in the NIH T32 BD2K graduate training program
Start and end date Feb 14, 21, 28, March 7, 21, 28    2017
Meeting pattern Tuesdays 9-11:30 am
Location: Phillips Hall 365


  • Lecture 1: Phase Field Models for Fluid-Fluid Interface Dynamics
  • Lecture 2: Immersed Boundary Models for Fluid-Structure Interaction Problems
  • Lecture 3: Hydrodynamic Theories for Viscoelastic Fluids
  • Lecture 4: Discussions on Final Projects
  • Lecture 5: Mathematical Models and Applications in Biofilms and Cell Mitosis
  • Lecture 6: Student Presentations on Final Projects


  1. Review paper by Vasquez and Forest
  2. References for Phase Field Models
  3. Dr. Forest’s Lecture Notes on Viscoelastic Fluids
  4. References for Mathematical Models of Biofilms and Cell Mitosis