Zaks 2012, Proc. Natl. Acad. Sci.

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The Zaks 2012 model is a detailed kinetic model of the rapidly reversible, pH-dependent component of non-photochemical quenching (qE) in photosystem II (PSII). It was developed to quantify how the lumen pH controls the dissipation of excess excitation energy as heat, and it does so by resolving the molecular events that sense and respond to lumen acidification: the protonation of the PsbS protein, the deepoxidation of violaxanthin to antheraxanthin and zeaxanthin by violaxanthin deepoxidase (the xanthophyll cycle), and the resulting switch of PSII antennae into a quenched state. Around this regulatory core it represents the photochemistry and electron transport of PSII in fine detail — excited and oxidised P680 states, the pheophytin and Q_A/Q_B acceptors, the plastoquinone pool, cytochrome b6f, plastocyanin and PSI — together with ATP synthase, proton leak and the lumen ion fluxes (Mg²⁺, Cl⁻, K⁺) that buffer the proton-motive force.

By coupling these processes, the model predicts qE directly from PsbS protonation and zeaxanthin accumulation and reproduces the dynamics of chlorophyll fluorescence quenching and its relaxation. It is one of the most mechanistically explicit treatments of NPQ available and complements the more reduced quenching descriptions used elsewhere; it is included in GreenSloth as a reference for how the photoprotective machinery of PSII can be modelled at the level of individual redox and protonation states.

Scheme

Zaks 2012 scheme

Analysis

Model definition

Variables
SymbolIDInitial value
ATP2
ActiveATPs0.05
Antheraxanthin1e-14
Fdxox1
Fdxr1e-14
LumenCl0.01
LumenK0.01
LumenMg0.01
LumenProtons1e-14
P680ex1e-14
P680plus1e-14
P700ox1e-14
P700r1
PCr0.2
PQ8.999
PQH20.001
PSIIChlEx1e-14
PheAnion1e-14
PsbSQ1e-14
QAox1
QBneut1
QBred11e-7
QBred21e-7
Thrdx1e-14
TotalLEF1e-14
Zeaxanthin1e-14
Parameters
SymbolIDValue
crosssection0.25
kEETLHP680QAox5000000000
kEETLHP680QAred850000000
kQ3000000000
kEETLHP680revQAox10000000000
kEETLHP680revQAred10000000000
kquenchP680plus500000000
kNRantenna500000000
kNRP680100000000
PsbSDose0.6
kF70000000
alphaRC0.4
alphaQ0.1
kETP680PheOpenRC3000000000000
kETP680PheClosedRC10000000000
kETPheToQA3000000000
kETWaterOxidation30000000
kP680Pherecombination500000000
kP680QArecombination30
kP680QArecombinationClosedRC580
kETQAtoQB13500
kETQB1toQA350
kETQAtoQB21600
kETQB2toQA1600
PQH2undock800
QReoxidationRate100
PQdockingrate500
QuinonePoolSize10
pKaC5.8
nC1.2
pHStromaStart7.2
pHLumenStart7.2
StromaProtonsStart1e-10
bufferCapacityStroma0.1
bufferCapacityLumen0.03
ATPConductivity6e-10
kATPsActivate0.25
kATPsInactivate0.003
thresholdpmf0.001
leakpmf0.8
leakConductivity1e-7
PCl1.8e-8
PMg3.6e-8
PK1.8e-8
zCl-1
zMg2
zK1
StromaClStart0.01
StromaMgStart0.01
StromaKStart0.01
Rconst8.314
Fconst96485
Tconst300
LumenVolume6.7e-21
StromaVolume5.36e-20
lumenVolumePerArea8e-10
MembraneCapacitance0.000001
Na6.022e+23
VDErateVioToAnth0.04
VDErateAnthToZea0.02
ZErate0.0004
TotalXanthophyll1
VDEpKa6
nVDE6
PsbSpKa6.4
nPsbS3
zfrac0.8
PsbSConvertRate0.1
PSIcrossSection0.35
kETPCP7006000
kETP700Fdx10
PCperPSI3
ElectronsPerPC1
fracIntactRC1
voltsperlog0.02585065036015961
LightIntensity100
P680neut1
qtrigg11
qtrigg20
qtrigg31
ATPConductivityReverse1e-10
ATPperPSI600
CytRegulateYesNO1
F_PsbS0.6
NADPperPSI15
PsbSperPSII1
damageyesno0
electronsPerNADPH2
kEETP70014000000000
kETFdxMV1000
kETFdxPQ0.005
kETFdxThrdx1000
kETNADPHPQ100
kETThrdxOx100
kP680PherecombinationClosedRC500
kP680PherecombinationOpenRC200000000
kPheQArecombination500
kQuenchDamage0
repairyesno0
tF1.5e-9
tHop1.7e-11
tauCS5.5e-12
tauqE1e-11
ATPperProton0.25
Derived quantities
SymbolIDEquation
pH_stroma
pH_lumen
total_charge_lumen
total_charge_stroma
deltapsi
deltapH
pmf
deltamuCl
deltamuMg
deltamuK
efield_slowdown_r
efield_slowdown_q
Violaxanthin
PsbS_unprot
active_vde
active_psbs
deact_psbs
q_total
QAred
Pheneut
PQfrac
PQH2frac
QBempty
frac_active_cyt
frac_pq_red
frac_active_pc
InactiveATPs
light
kF_obs
kqE_obs
kPC_obs
kPCRCC_obs
kC_obs
allrates
allratesRCC
fluorescenceyield
fluorescenceyieldRCC
qE_model
phi_npq
Reactions
SymbolIDRateStoichiometry
V_to_A
A_to_Z
Z_to_A
A_to_V
PsbS_prot
PsbS_deprot
v1
v2
v3
v4
v5
v7
v8
v9
v12
v13
v14
v15
v16
v17
v18
r_q2
r_q3
r_q4
r_q5
r_q6
r_q7
r_q8
r_cyt_b6f
psi_1
psi_2
atp_synthesis
vleak
atps_activate
atps_inactivate
flux_Mg
flux_Cl
flux_K
mv_1
mv_2
mv_3

Curation

Curator's note

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

Figures
Fig3
Page figure
Fig4
Page figure
Fig5
Page figure
Fig6
Page figure