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Global Attractorsin Biochemical Dynamics
Gheorghe CraciunDepartment of Mathematics and
Department of Biomolecular ChemistryUniversity of Wisconsin-Madison
Example
The Lorenz equations
Example
Example
Example
Notation:
Vector equations for mass action kinetics
Notation:
Vector equations for mass action kinetics
Notation:
Vector representation ofdifferential equations:
Vector equations for mass action kinetics
Notation:
Vector representation ofdifferential equations:
Stoichiometric Subspace
Example:
Decomposition of the reaction rate function
Decomposition of the reaction rate function
Decomposition of the reaction rate function
Decomposition of the reaction rate function
C1
C4 C 3
C2
C 5
Deficiency of a reaction network
(1)
Remark:
Remark:
(description of the kernel of A )k
Weakly reversible networks
Existence of positive fixed points
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