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Table 1 The results of optimization with minimum score for Tyson model.

From: A novel cost function to estimate parameters of oscillatory biochemical systems

Parameter

Nominal value

Estimation of the proposed cost function

Estimation of the LS cost function

v m

1

1.1372

0.9472

k m

0.1

0.1049

0.1097

v p

0.5

0.4668

0.4740

k p1

10

15.88

21.48

k p2

0.03

0.0936

0.0927

k p3

0.1

0.0766

0.0615

K eq

200

692.64

922.16

P crit

0.1

0.1076

0.1477

J p

0.05

0.0511

0.0738

Score

0.1378

0.1084

0.2441

  1. The values of kinetic parameters with minimum score derived from optimization using the proposed cost function and the LS cost function for the Tyson model. The bold values are the ones that are estimated incorrectly (error more than 10%). The score values are calculated based on (11)