Zhu 2005, Planta

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The Zhu 2005 model is a mechanistic kinetic model of Photosystem II (PSII) built to predict the polyphasic O-J-I-P rise of chlorophyll a fluorescence induction that is observed when a dark-adapted leaf is exposed to a pulse of strong actinic light. Rather than fitting the O-J-I-P transient empirically, Zhu, Govindjee, Baker, deSturler, Ort and Long constructed the kinetics from first principles, explicitly resolving every discrete step between the absorption of a photon and the reduction of the plastoquinone (PQ) pool: excitation energy trapping by the reaction centre, primary charge separation and recombination between P680 and pheophytin, forward and back electron transfer from Q<sub>A</sub> to Q<sub>B</sub> (tracking the singly and doubly reduced states of Q<sub>B</sub> separately), and the S-state cycle of the oxygen-evolving complex on the donor side.

PSII heterogeneity is built directly into the model: alongside the Q<sub>B</sub>-reducing reaction centres that carry out linear electron transport, a second population of Q<sub>B</sub>-non-reducing centres is tracked in parallel, itself split into sub-populations with core, peripheral, and fully detached antenna. A connectivity parameter — the "puddle-to-lake" parameter familiar from antenna models — sets how much excitation energy can migrate between neighbouring PSII units before being trapped or dissipated, while a temperature-dependent equilibrium constant governs the reversible charge-transfer equilibrium between the antenna and P680. Fluorescence yield is obtained by summing radiative de-excitation from every excited antenna and reaction-centre pool, so the simulated O, J, I and P phases emerge jointly from the acceptor-side redox states, the donor-side S-state transitions, and the two reaction-centre populations, rather than from any single rate-limiting step.

With around 40 variables and more than 90 reactions, it is by far the most detailed PSII model in GreenSloth, and one of the first to reproduce the complete O-J-I-P transient — including the I-P phase usually attributed to PQ pool reduction and donor-side limitations — from a single, mechanistically grounded parameter set. It is included here as a reference model for chlorophyll fluorescence induction analysis, and as a detailed counterpart to the simpler, NPQ-focused PSII models in the collection, such as Matuszynska 2016.

Analysis

Model definition

Variables
SymbolIDInitial value
Ap0
U0
P680plus_Pheominus0
P680plus_Pheo0
P680_Pheominus0
S0T0.2
S1T0.8
S2T0
S3T0
S0Tp0
S1Tp0
S2Tp0
S3Tp0
QA_QB1
QAred_QB0
QA_QBred0
QAred_QBred0
QA_QB2red0
QAred_QB2red0
PQH23
Aip0
Ui0
Uifc0
P680plus_Pheominus_i0
P680plus_Pheo_i0
P680_Pheominus_i0
S0T_i0
S1T_i0
S2T_i0
S3T_i0
S0Tp_i0
S1Tp_i0
S2Tp_i0
S3Tp_i0
QA_QB_i0
QAred_QB_i0
QA_QBred_i0
QAred_QBred_i0
QA_QB2red_i0
QAred_QB2red_i0
Parameters
SymbolIDValue
Iin3000
x0
p0.5
c_light300000000
h6.62e-34
k_boltzmann1.38e-23
temperature298
lambda_chl6.73e-7
lambda_p6806.8e-7
n_psi_psii1
n_core_chl70
n_nonreducing_peripheral_chl220
n_nonreducing_core_chl35
n_nonreducing_detached_chl35
P680Pheo_total1
PQ_total6
k22000000000
k3800
kr380
kAB12500
kAB23300
kBA1175
kBA2250
kAd100000000
kAf30000000
kAU10000000000
kUA10000000000
kUd_closed100000000
kUd_open0
kUf30000000
k_c1000000000
kminus1_closed900000000
kminus1_open300000000
k1_closed4000000000
k1_open25000000000
Ke1000000
k0150
k1230000
k2310000
k303000
kox250
kz5000000
P680Pheo_total_i0
kAB1_i0
kAB2_i0
kBA1_i0
kBA2_i0
k3_i0
kr3_i0
Derived quantities
SymbolIDEquation
P680_Pheo
PQ
QA_oxidised
QA_reduced
q
a_QB
b_QBred
c_QB2red
Ia
Ic
Ai
Iui
Iuif
equilibrium_ratio
P680_excited
k_q
P680plus_fraction
P680_ground_fraction
P680_Pheo_i
QA_oxidised_i
QA_reduced_i
q_i
a_QB_i
b_QBred_i
c_QB2red_i
P680_excited_i
P680plus_fraction_i
P680_ground_fraction_i
F
QA_reduction_fraction
QA_reduction_fraction_i
QA_reduction_fraction_total
obs_q
obs_q_i
obs_QA_oxidised
obs_QA_reduced
obs_QA_oxidised_i
obs_QA_reduced_i
obs_PQ
obs_P680_excited
obs_P680_excited_i
obs_Ia
obs_Ic
obs_Ai
obs_Iui
obs_Iuif
Reactions
SymbolIDRateStoichiometry
light_to_Ap
light_to_U
light_to_Aip
light_to_Ui
light_to_Uifc
vAipf
vUif
vUifcf
vAipd
vUifcd
vAf
vAd
vAU
vUA
vUf
vUd
vP680qA
vPQqA
vP680qU
vPQqU
v1
vminus1
v0z_1
v0z_2
v1z_1
v1z_2
v2z_1
v2z_2
v3z_1
v3z_2
vS0Tp_S1T
vS1Tp_S2T
vS2Tp_S3T
vS3Tp_S0T
v2_0_1
vr2_0_1
v2_0_2
vr2_0_2
v2_1_1
vr2_1_1
v2_1_2
vr2_1_2
v2_2_1
vr2_2_1
v2_2_2
vr2_2_2
vAB1
vBA1
vAB2
vBA2
v3
vr3
v3_n
vr3_n
vUid
vP680q_Ui
vPQq_Ui
v1_i
vminus1_i
v0z_1_i
v0z_2_i
v1z_1_i
v1z_2_i
v2z_1_i
v2z_2_i
v3z_1_i
v3z_2_i
vS0Tp_i_S1T_i
vS1Tp_i_S2T_i
vS2Tp_i_S3T_i
vS3Tp_i_S0T_i
v2_0_1_i
vr2_0_1_i
v2_0_2_i
vr2_0_2_i
v2_1_1_i
vr2_1_1_i
v2_1_2_i
vr2_1_2_i
v2_2_1_i
vr2_2_1_i
v2_2_2_i
vr2_2_2_i
vAB1_i
vBA1_i
vAB2_i
vBA2_i
v3_i
vr3_i
v3_n_i
vr3_n_i
v_pq_ox

Curation

Curator's note

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

Figures
Fig3
Page figure