Instruction in Quantitative Aspects underlying Biomedical Research. Exposure to fundamental aspects of quantitation is now required within the graduate programs in the Biomedical Sciences at Vanderbilt. Quantitation exposure is obtained in several ways. 1) The Biomath program of course has a heavy required mathematics component required of all members. 2)The Chemical, Physical and Mathematic Biology (CPMB) program which has grown in size by 250% in four years and is currently in the process of applying for degree granting status has course in mathematics, physics and Chemical biology as part of its curriculum. 3) IGP students can take courses in the mathematics of receptor binding and also in biostatistics as a part of their elective menu, and typically10-15% go this route. 4) Finally to make sue that all of our students get exposure to quantitation we are developing a new section of the IGP core course on Bio-quantitation. This is required for all students to successfully complete the first year. It will be taught as a full section and will encompass 15-20 formal lecture hours as well as an equal number of flextime, enrichment hours involved in small group discussions. Details of al these course offerings are presented in the Appendix. The IGP Bio-Quantitation Course. All segments will consist of a subject overview, coupled to assigned reading and problems. Subsequently the problems will be reviewed and dissected in small-group discussions. 1. Chemical Equilibria Free energy Pressure and temperature dependence Phase changes Application to biochemical reactions Establishment of ion gradients (use of Nernst equation) Application to biological systems 2. Chemical Kinetics Reaction rates Rate laws Enzyme kinetics Reaction mechanisms Temperature dependence of rate constants Relationship between thermodynamics and kinetics Applications to biological systems 3. Ligand Binding to Macromolecules Macroscopic and microscopic equilibrium constants Experimental determination of binding isotherms Application to biological systems Cooperativity in ligand binding Allostery 4. Viscosity and Diffusion Appreciate factors affecting movement within the cell of ions and macromolecules. Sedimentation 5. Electrophoresis Forces existing in an electric field Effect of macromolecule shape, molecular weight and charge Effect of solid support 6. Biostatistics We will focus on specific results obtained from the literature, which we will then analyze in such a way as to emphasize the statistical principles involved. The three situations envisaged are (1) a transfection analysis in which multiples transfections into multiple sets of tissue culture cells on different days are then analyzed by triplicate determinations from each cell culture. (2) a hormone binding assay analysed by a Scatchard plot with data points coming from the full range of binding, so that weighting data points precedes regression analysis of the data. (3) a DNA array binding assay will be analyzed in an attempt to demonstrate the estimation of significant changes and to determine the significance of the claims made by the authors. In each case idealized data sets will be supplied for practice in the statistical analysis, to be followed up with an analysis of actual data sets reported in the literature.