Table of Contents
Post Genomic-era: Mathematical Modeling in Biology
Outline
The Central Dogma of Modern Molecular Biology
What is a Macromolecule?
Nylons 66 (Polyamides)
DNA & RNA
DNA and Its Bases
DNA Base Paring
Baseparing and Hydrogen Bond
DNA Double Helix
Watson-Crick's Law of Base-Paring
A. Einstein
Einstein's Law of Energy and Mass Conversion
The Nature Paper
A structure for deoxyribose nucleic acid
DNA Replication and the secrete of Life
F.H.C. Crick & J.D. Watson
Rosalind Franklin (1920 - 1958)
In Watson's own words
The book
The Central Dogma of Molecular Biology
Proteins and DNA
Protein Synthesis
Science and Mathematics
Models & Mathematical Modeling
Physics and Biology
Membrane Proteins, Channels
Protein and polypeptides
Protein Structures
Single Channel Conductance
E. Neher & B. Sakmann
Stochastic Nature of Single Molecules
Chemical reaction of a single molecule
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
Neural Signaling and Action Potential
Potassium channel with subunits
Subunits are Helices
Crystal Structure
Diffusion and Electrodiffusion
Membrane Current and Voltages
A.L. Hodgkin & A.F. Huxley
Action Potential and Na+, K+ Currents
Stochastic Kinetics of Single Channel Opening-Closing
Voltage-dependent Channel Conductance
Fitting Experimental Data
Membrane as a Capacitor
Probabilities of Channel Openning
Voltage-dependence of Channel Kinetics (Hodgkin & Huxley, 1952)
Constants in the Hodgkin-Huxley Model
Membrane as a Capacitor
Simulating Action Potential I
Simulating Action Potential II
Phase Plot for Differential Equations
Conclusions
Law of Physics & Law of Biology
Two Books on Modeling
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