Lecture 9: Polyelectrolyte Hydrogels Last Day: Physical hydrogels Structure and chemistry Toda polyelectrolyte hydrogels, complexes, and coacervates rolyte multilayer theory of swelling in ionic hydrogels Reading S.K. De et aL., 'Equilibrium swelling and kinetics of pH-responsive hydrogels: Models experiments, and simulations

Lecture 5: Controlled Release Devices Last time: Using enzyme substrate and cytokine peptides to engineer biological recognition of synthetic polymers Today: principles of controlled release devices based on degradable polymers Synthesis of controlled release devices Theory of polymer-based controlled release

Lecture 2: Molecular Design and Synthesis of Biomaterials I: Biodegradable Solid Polymeric Materials(continued) hemistry and physical chemistry of degrading polymeric solids for biomaterials Today Theory of polymer erosion Enzymatic degradation of synthetic biomaterials Designing degradable materials Reading

Content Lotteries and expected utility Risk aversion Metric Subjective probability theory

Summary textbook Varian, Hal R, 1992, Microeconomics Analysis, 3rd ed Mas-Colella m Whinston and j, green 1995, microeconomics Theory assignments

Content Pure exchange system The existence of Walrasian equilibrium The first theorem of welfare economics The second theorem of welfare economics Exchange with production

Chapter 1 Introduction to the cell Learning Objectives 1. About Cell Biology 2. Look briefly at the history of cell theory; 3. Consider the basic properties of cells; 4. Compare some characteristics of two different classes of cells: prokaryotes and eukaryotes; 5.comprehend a special life: viruses

CONTENT WA and demand law From preferences to utility Utility maximization Expenditure minimization

1. Integrability Demand function x(p, w)(c d ) is HDO, satisfied walras law and have a substitution matriX S(p, w) is s n.s.d. for any (p, w), if it's deduced by rational preference And if we observed an x(p, w)satisfied such conditions, can we find a preference to rationalization x(p w ) That the integrability problem

Cost Minimization Content: Definitions Properties of cost function WACM Some forms of cost functions lecture3 for Chu Kechen Honors College