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Table 5 Parameter values of the CO2 transport model.

From: Physiological responses of Daphnia pulex to acid stress

Symbol

Value

Unit

Description

L

2.38

mm

Length of exchange coordinate

A ca

7.57

mm2

Exchange surface area of the inner carapace cuticle

A tr

5.34

mm2

Exchange surface area of the trunk cuticle

Δxca

0.001

mm

Thickness of the inner carapace cuticle

Δxtr

0.002

mm

Thickness of the trunk cuticle

0.022

mm3 s-1

Perfusion rate

0.7

mm3 s-1

Medium flow rate

ν b

0.168

mm s-1

Hemolymph flow velocity, backward direction

ν f

0.149

mm s-1

Hemolymph flow velocity, forward direction

ν m

1.8

mm s-1

Medium flow velocity

0.0071

nmol s-1

Whole-animal CO2 production rate

0.3682

nmol mm-3 kPa-1

Physical solubility of CO2 in medium and hemolymph

K

2.10 × 10-6

nmol s-1 mm-1 kPa-1

Krogh's diffusion constant for CO2 in chitin

K' 1

10-6.325

M

Dissociation equilibrium constant of CO2

K' 2

10-10.47

M

Dissociation equilibrium constant of

K' A

10-8.18

M

Dissociation equilibrium constant of the NB buffer

K' w

10-14

M

Dissociation equilibrium constant of water

k 1

0.022

s-1

Rate constant for CO2 hydration

k 2

1010

M-1 s-1

Rate constant for the protonation of

k 3

5500

M-1 s-1

Rate constant for the reaction of CO2 with OH-

k -3

1.1 × 10-4

s-1

Rate constant for: → CO2 + OH-

k 4

1010

M-1 s-1

Rate constant for the protonation of the NB buffer

μ

1

 

Acceleration factor for CO2/ interconversion

ρ

0.5

 

Fraction of entering the outer HL lacuna

φ

0.2

 

Fraction of CO2 excreted into the outer HL lacuna

γ H

0.797

 

Hydrogen activity coefficient

C A

3.6

nmol mm-3

Concentration of the NB buffer in the hemolymph

P in

0.035

kPa

Inspiratory CO2 partial pressure

pHin

8.0

 

pH of the inspired medium

[]in

0.6

nmol mm-3

Bicarbonate concentration of the inspired medium

  1. These parameter values were used to generate the profiles in acid-base variables shown in Figure 3D. The values for K and μ refer to the uncatalyzed case in the absence of a carbonic anhydrase in the hemolymph. The catalyzed case was derived from this parameter setting by two adjustments (μ = 10000, K = 1.30 × 10-6 nmol s-1 mm-1 kPa-1). NB = non-bicarbonate.