The Inverse Problem: Computational Algorithms and Their Efficiency with Applications to a Model of the Calvin Photosynthesis Cycle
The present article is concerned with the mathematical and numerical algorithms encountered in the parameter identification problem for large and complex biological systems. The primary thrust is to determine how these algorithms interact when applied to realistically complex non-linear systems. Specifically, we are concerned with the computational complexity of a model which describes the Calvin photosynthesis cycle. The cycle is described mathematically by seventeen non-linear ordinary differential equations having twenty-two undetermined parameters [Milstein, 1975]. Identifying these parameters from several sets of data constitutes the inverse problem.
KeywordsInverse Problem Calvin Cycle Nicotinamide Adenine Dinucleotide Phosphate Complex Biological System Dihydroxy Acetone Phosphate
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