Presented at Stanford University, Applied Mathematics (5/12/00)


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Table of Contents

Outlines: Part I

Outlines: Part II

What is a Macromolecule?

Protein Structures

Stochastic Nature of Polymer Dynamics

Stochastic Nature of Single Molecules

Fluctuation Measurements by Fluorescence Spectroscopy

From Discrete Markov Model to Continuous Diffusion

Brownian Motion (Diffusion) in a Continuous Energy Landscape

Quantitative Equation of Motion

Smoluchowski Equation, Markov Process & Chemical Kinetics

Single-Molecule Measurement and Fluctuation Analysis

Protein-Ligand Separation with AFM

Energy Landscapes in Forced Protein -Ligand Separation

Hysteresis in Macromolecular Mechanics

Stochastic Forced Separation

From Muscle to Actin & Myosin

Internal & External of a Motor Protein

Equation for Motor Protein Movement

Limit of Rapid Biochemical Cycling

Potential of Averaged Force

Isometric Forces

Isotonic Movement

Entropy and Heat Dissipation

Heat Dissipation Rate

Positive Entropy Production Rate

Time-Reversibility and Equilibrium

Free Energy Landscape of Motor Proteins: the “Power Stroke” and the “Ratchet”

How motor proteins generate force?

Globular Protein Folding Energy Function and Force

Equation for Polyglobular Protein

Equilibrium Elasticity of A Chain

Force, Energy, and Work

Elasticity of Polyglobular Proteins

Macroscopic Elasticity

Nonlinear Diffusion Equations?

Summary

Summary (Continued)

Equations for Macromolecular Mechanics

Author: Hong Qian

Email: qian@amath.washington.edu

Home Page: http://www.amath.washington.edu/~qian