Math Modeling Blog – Spring 2010



Class Discussions 3/8/10

6.1 Introduction - Most common metabolites: water, adenosine triphosphare (ATP), and adenosine diphosphare (ADP). EcoCyc – database for ecoli bacteria.

6.2 Stoichiometric matrix - Stoichiometry is the calculation of quantitative relationships of reactants and products in a balanced chemical reaction. Matrix: Reactions and flux across the top and metabolites down the side. Use methods of linear algebra (convex analysis) to analyze structural components of metabolic pathways.

6.3.1  & 6.3.2 Matrices – Adding, subtracting, and multiplying matrices is all material that is not new to me.

6.3.3 Linear Transformations, Ranks & Transpose – linear map is a functions between two vector spaces that preserves the operations of vector addition and scalar multiplication. Rank is a number that represents how linearly independent a matrix is. Use Gauss elimination method. Transpose: turns rows into columns and vice-versa.

6.3.4 Square Matrices & Matrix Inversion – square matrix, self explanatory. Inverse matrix times matrix = identity matrix.

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