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Table 4 Sensitivity coefficients for formaldehyde oxidation.

From: Dynamic sensitivity analysis of biological systems

Rate constant

∂ ln [HO2]/∂k i

∂ ln [O]/∂k i

 

IDM

R/DM

our algorithm

IDM

R/DM

our algorithm

k 2

0.683

0.683

0.68255

0.827

0.827

0.82719

k 3

0.700

0.700

0.69986

0.835

0.835

0.83486

k 4

-0.210

-0.209

-0.20917

-1.160

-1.156

-1.15579

k 8

-0.306

-0.306

-0.30569

-0.296

-0.296

-0.29599

k 9

0.210

0.210

0.20962

1.156

1.156

1.15628

k 10

0.164

0.164

0.16373

1.031

1.031

1.03065

k 11

-0.121

-0.121

-0.12087

-0.660

-0.659

-0.65906

k 12

0.188

0.188

0.18848

0.979

0.979

0.97926

k 13

   

-0.327

-0.327

-0.32713

k 16

   

-1.002

-1.000

-0.99990

k 22

0.686

0.685

0.68536

0.742

0.742

0.74169

  1. A tolerance of 10-15 is used for R/DM. A fourth-order adaptive Rosenbrock algorithm is used for integration and ± 5% variations of k i are used in the computation of the sensitivities w.r.t. k i using indirect method.