Ebenhöh 2014, Philos Trans.

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The Ebenhöh 2014 model is a kinetic model of the photosynthetic electron transport chain (PETC), built to study how a photosynthetic organism acclimates to changing light on short timescales. It comprises seven coupled ordinary differential equations and represents the main components of the PETC — photosystem II (PSII), the plastoquinone pool, the cytochrome b6f complex, plastocyanin, photosystem I (PSI), ferredoxin, ferredoxin-NADP+ reductase and the ATP synthase — together with both linear and cyclic electron flow. PSII is described under a quasi-steady-state assumption using a four-state reaction-center model. In addition, the model captures the relocation of light-harvesting complexes between PSII and PSI (state transitions), thereby changing the antenna cross sections of the two photosystems.

Because the model was developed to describe short-term acclimation of the PETC to different light regimes, it was validated against PAM fluorescence data from Chlamydomonas reinhardtii, showing both light-induced and anoxia-induced state transitions. The light-induced state transition reported in the publication is reproduced exactly by this implementation; the anoxia-induced state transition and figure 3, however, show some discrepancies from the original publication while still agreeing with the overall dynamics. Beyond serving as a base model for short-term PETC acclimation, it provided the foundation for Matuszynska 2016 and Matuszynska 2019. For that reason, it is included in GreenSloth as a starting point for understanding how the light reactions of photosynthesis are modeled.

Analysis

Model definition

Variables
SymbolIDInitial value
Plastoquinone_oxidised17.5
Plastocyanine_oxidised0.0202
Ferredoxine_oxidised5
ATP0
NADPH0
protons_lumen0.00025238293779207717
Light_minus_harvesting_complex0.9
Parameters
SymbolIDValue
pH7.8
PPFD100
cPPFD0.3333333333333333
PSII_total2.5
PSI_total2.5
PQ_tot17.5
PC_tot4
Fd_star5
NADP_star25
A_star_P60
LHC_tot1
F96.485
R0.0083
T298
bH100
E0_QA-0.14
E0_PQ0.354
E0_PC0.38
E0_P7000.48
E0_FA-0.55
E0_Fd-0.43
E0_NADP-0.113
kH0500000000
kH0
kF62500000
k21200000000
Q0
staticAntI0.2
staticAntII0
kf_atp_synthase20
kf_atp_consumption10
Pi_mol0.01
DeltaG0_ATP30.6
HPR4.666666666666667
kf_nadph_consumption15
kf_proton_leak0.01
kPQred250
kcat_b6f2.5
kPTOX0.01
kPCox2500
kFdred250000
kcat_fnr500
E0_fnr3
km_fnr_Ferredoxine_reduced1.56
km_fnr_NADP0.22
kf_cyclic_electron_flow1
O2_dissolved_lumen8
kf_ndh0.004
kStt70.0035
kPph10.0013
km_lhc_state_transition_120.2
n_ST2
Derived quantities
SymbolIDEquation
RT
dG_pH
pH_lumen
Plastoquinone_reduced
Plastocyanine_reduced
Ferredoxine_reduced
ADP
NADP
Light_minus_harvesting_complex_protonated
PSII_cross_section
keq_Plastoquinone_reduced
keq_atp_synthase
keq_b6f
keq_fnr
vmax_fnr
keq_PCP700
keq_ferredoxin_reductase
A1
B0
B1
B2
B3
PQ_red_div_tot
Fd_red_div_tot
PC_red_div_tot
NADPH_div_tot
ATP_div_tot
Fluo
Reactions
SymbolIDRateStoichiometry
PSII
PSI
PTOX
ndh
b6f
cyclic_electron_flow
fnr
proton_leak
lhc_state_transition_12
lhc_state_transition_21
atp_synthase
atp_consumption
nadph_consumption
Changes

The original model calculates the pH as log10(proton_concentration). To avoid numerical instabilities, we clamped the pH to the range of 1-14 using log10(clamp(0.1, proton_concentration, 1e-14)).

Curation

Curator's note

This model was validated by reproducing the following figures of the original publication.

Figures
Fig2
Page figure
Fig3
Page figure