ASS enzymatic reaction model
Formation of alkylsuccinate is the first step of alkane metabolism. The enzyme involved was reported as alkylsuccinate synthase[1].
The overall enzymatic reaction:
The mechanism of this enzymatic reaction includes three main steps, H-abstraction, fumarate addition and thiyl radical regeneration [2]. This model used n-butane as the modelled chemical and we assume the general n-alkane followed similar reaction mechanism. Each reaction was treated as a sub-mechanism consisting of 3 steps, reactant complex (RC) formation, transition state (TS) crossing and product separation. The following are the rate constants involved in the sub-mechanism
The H-abstraction step (1) are modelled as,
The fumarate addition step (2) are modelled as,
The thiyl radical regeneration step (3) are modelled as,
Assume
(1) Closed homogeneous batch reactor with infinite capacity
(2) The reaction proceeds until final alkane concentration is negligible
(3) Each step of the mechanism follows the Law of mass action
The reaction rates of each component are modelled as a system of ODE
Assume pseudo-steady state for the enzyme and intermediates, such that
Result
Discussion
From this ASS enzymatic model, we obtained specific pseudo rate constant with respect to alkane equals to
Assume in 1L batch reactor and general cell density for one unit of OD600 is 0.3gDW/L, the hexane uptake rate is estimated to be
The ASS enzymatic reaction model predicts alkane conversion rate to reach
(Please refer to this document for the list of parameters used.)
Parameter |
Value |
Source |
Equivalent cell density to OD600 |
0.3gDW/L (E.coli) |
Bionumbers |
|
|
|
ASS enzymatic reaction model |
||
Initial alkane concentration |
|
Input |
Initial fumarate concentration |
|
Input |
Total alkysuccinate synthase (ASS) enzyme concentration |
|
[2] |
Initial Alkylsuccinate concentration |
0 mM |
Input |
|
1.49 |
[2] |
|
5.88 |
[2] |
|
4.42 |
[2] |
|
2.06 |
[2] |
|
4.63 |
[2] |
|
1.49 |
[2] |
|
1.23 |
[2] |
|
1 |
[2] |
|
1.04 |
[2] |
|
2.16 |
[2] |
|
1.24 |
[2] |
|
5.45 |
[2] |
|
3.08 |
[2] |
|
6.94 |
[2] |
|
1.24 |
[2] |
|
1.25 |
[2] |
References
[1] A. Herath, B. Wawrik, Y. Qin, J. Zhou and A. Callaghan, "Transcriptional response ofDesulfatibacillum alkenivoransAK-01 to growth on alkanes: insights from RT-qPCR and microarray analyses", FEMS Microbiology Ecology, vol. 92, no. 5, p. fiw062, 2016.
[2] V. Bharadwaj, S. Vyas, S. Villano, C. Maupin and A. Dean, "Unravelling the impact of hydrocarbon structure on the fumarate addition mechanism – a gas-phase ab initio study", Physical Chemistry Chemical Physics, vol. 17, no. 6, pp. 4054-4066, 2015.