. Author manuscript; available in PMC: 2018 Mar 1.

Published in final edited form as: Bull Math Biol. 2017 Jan 18;79(3):448–497. doi: 10.1007/s11538-016-0241-6

Table 11.

Parameter estimation in reduced models when there are multiple binding sites.

Theoretical Model (Model 2)

Reduced Model (Model 1)

Diffusion + Two binding sites

Bleaching size

Time

Diffusion + Single binding site

Curve fitting

k_{1}^{+}

k_{1}^{-}

k_{2}^{+}

k_{2}^{-}

δ⁻

T (sec)

k⁺

k⁻

2.5e-4

0.1

Default

100

2.2629e-5

8.2322e-2

9.2352e-2

good

2.5e-4

1e-3

Default

1000

2.2122e-5

8.4915e-5

9.8877e-4

good

2.5e-5

1e-3

0.1

Default
Reduce Size

1000
1000

2.2413e-6
1.1746e-6

1.3014e-4
6.2724e-1

1.3478e-3
1.5113

good
bad