Means of optimizing conversion of light energy in the primary stages of photosynthesis. I. The need for optimizing the structure of a photosynthetic unit and calculation of its efficiency

It is shown, that the photosynthetic unit structure is to be strongly optimized in vivo to operate with a 90% quantum yield of primary charge separation in reaction centers, which means that a macroscopic photosynthetic unit is neither uniform nor isotropic. Some requirements for optimization of photosynthetic unit structure are determined. The modified probability matrix method to simulate the excitation energy transfer in photosynthesis is proposed. The method is adapted to excitation trapping time (but not to excitation jumps number) calculation. The calculations assume a F?rster inductive resonance mechanism for energy transfer within light-harvesting antenna and pairwise dipolar interactions.     

Dynamics of energy transfer and trapping in the light-harvesting antenna of Rhodopseudomonas viridis.

By low intensity picosecond absorption spectroscopy it is shown that the exciton lifetime in the light-harvesting antenna of Rhodopseudomonas (Rps.) viridis membranes with photochemically active reaction centers at room temperature is 60 +/- 10 ps. This lifetime reflects the overall trapping rate of the excitation energy by the reaction center. With photochemically inactive reaction centers, in the presence of P+, the exciton lifetime increases to 150 +/- 15 ps. Prereducing the secondary electron acceptor QA does not prevent primary charge separation, but slows it down from 60 to 90 +/- 10 ps. Picosecond kinetics measured at 77 K with inactive reaction centers indicates that the light-harvesting antenna is spectrally homogeneous. Picosecond absorption anisotropy measurements show that energy transfer between identical Bchlb molecules occurs on the subpicosecond time scale. Using these experimental results as input to a random-walk model, results in strict requirements for the antenna-RC coupling. The model analysis prescribes fast trapping (approximately 1 ps) and an approximately 0.5 escape probability from the reaction center, which requires a more tightly coupled RC and antenna, as compared with the Bchla-containing bacteria Rhodospirillum (R.) rubrum and Rhodobacter (Rb.) sphaeroides.     

Modeling of energy migration and trapping in purple bacteria. Analysis of extreme formulae

Homogeneous pigment ensembles similar to those of purple bacteria Rhodospirillum rubrum were studied. Two formulae were advanced for the limiting values of excitation lifetime and quantum yield of excitation trapping in these ensembles, provided all reaction centers are in an active state. It was demonstrated by mathematical modeling that these limiting values strictly depend on three parameters of molecular ensembles: the numbers of core-bacteriochlorophyll molecules per reaction center, the values of rate constants for excitation trapping in reaction centers, and excitation wasteful deactivation in all molecules. The excitation lifetime and quantum yield were proved to approach their limiting values as the rate constants of excitation intermolecular migration increase. The closeness of experimental values for two above mentioned functions to their calculated limiting values proves the migration-limited type of the photosynthetic unit investigated and a high efficiency of excitation trapping in its reaction centers.     

Energy transfer in the inhomogeneously broadened core antenna of purple bacteria: a simultaneous fit of low-intensity picosecond absorption and fluorescence kinetics.

The excited state decay kinetics of chromatophores of the purple photosynthetic bacterium Rhodospirillum rubrum have been recorded at 77 K using picosecond absorption difference spectroscopy under strict annihilation free conditions. The kinetics are shown to be strongly detection wavelength dependent. A simultaneous kinetic modeling of these experiments together with earlier fluorescence kinetics by numerical integration of the appropriate master equation is performed. This model, which accounts for the spectral inhomogeneity of the core light-harvesting antenna of photosynthetic purple bacteria, reveals three qualitatively distinct stages of excitation transfer with different time scales. At first a fast transfer to a local energy minimum takes place (approximately 1 ps). This is followed by a much slower transfer between different energy minima (10-30 ps). The third component corresponds to the excitation transfer to the reaction center, which depends on its state (60 and 200 ps for open and closed, respectively) and seems also to be the bottleneck in the overall trapping time. An acceptable correspondence between theoretical and experimental decay kinetics is achieved at 77 K and at room temperature by assuming that the width of the inhomogeneous broadening is 10-15 nm and the mean residence time of the excitation in the antenna lattice site is 2-3 ps.     

Energy trapping and detrapping by wild type and mutant reaction centers of purple non-sulfur bacteria

Time-correlated single photon counting was used to study energy trapping and detrapping kinetics at 295 K in Rhodobacter sphaeroides chromatophore membranes containing mutant reaction centers. The mutant reaction centers were expressed in a background strain of Rb. sphaeroides which contained only B880 antenna complexes and no B800-850 antenna complexes. The excited state decay times in the isolated reaction centers from these strains were previously shown to vary by roughly 15-fold, from 3.4 to 52 ps, due to differences in the charge separation rates in the different mutants (Allen and Williams (1995) J Bioenerg Biomembr 27: 275–283). In this study, measurements were also performed on wild type Rhodospirillum rubrum and Rb. sphaeroides B880 antenna-only mutant chromatophores for comparison. The emission kinetics in membranes containing mutant reaction centers was complex. The experimental data were analyzed in terms of a kinetic model that involved fast excitation migration between antenna complexes followed by reversible energy transfer to the reaction center and charge separation. Three emission time constants were identified by fitting the data to a sum of exponential decay components. They were assigned to trapping/quenching of antenna excitations by the reaction center, recombination of the P⁺H^– charge-separated state of the reaction center reforming an emitting state, and emission from uncoupled antenna pigment-protein complexes. The first varied from 60 to 160 ps, depending on the reaction center mutation; the second was 200–300 ps, and the third was about 700 ps. The observed weak linear dependence of the trapping time on the primary charge separation time, together with the known sub-picosecond exciton migration time within the antenna, supports the concept that it is energy transfer from the antenna to the reaction center, rather than charge separation, that limits the overall energy trapping time in wild type chromatophores. The component due to charge recombination reforming the excited state is minor in wild type membranes, but increases substantially in mutants due to the decreasing free energy gap between the states P^* and P⁺H^–.Abbreviations PSU photosynthetic unit - Bchl bacteriochlorophyll - Bphe bacteriopheophytin - P reaction center primary electron donor - RC reaction center - Rb. Rhodobacter - Rs. Rhodospirillum - EDTA (ethylenediamine)tetraacetic acid - Tris tris(hydroxymethyl)aminomethane Author for correspondence     

Fluorescence decay kinetics of chlorophyll in photosynthetic membranes

The absorption of light by the pigments of photosynthetic organisms results in electronic excitation that provides the energy to drive the energy-storing light reactions. A small fraction of this excitation gives rise to fluorescence emission, which serves as a sensitive probe of the energetics and kinetics of the excited states. The wavelength dependence of the excitation and emission spectra can be used to characterize the nature of the absorbing and fluorescing molecules and to monitor the process of sensitization of the excitation transfer from one pigment to another. This excitation transfer process can also be followed by the progressive depolarization of the emitted radiation. Using time-resolved fluorescence rise and decay kinetics, measurements of these processes can now be characterized to as short as a few picoseconds. Typically, excitation transfer among the antenna or light harvesting pigments occurs within 100 psec, whereupon the excitation has reached a photosynthetic reaction center capable of initiating electron transport. When this trap is functional and capable of charge separation, the fluorescence intensity is quenched and only rapidly decaying kinetic components resulting from the loss of excitation in transit in the antenna pigment bed are observed. When the reaction centers are blocked or saturated by high light intensities, the photochemical quenching is relieved, the fluorescence intensity rises severalfold, and an additional slower decay component appears and eventually dominates the decay kinetics. This slower (1-2 nsec) decay results from initial charge separation followed by recombination in the blocked reaction centers and repopulation of the excited electronic state, leading to a rapid delayed fluorescence component that is the origin of variable fluorescence. Recent growth in the literature in this area is reviewed here, with an emphasis on new information obtained on excitation transfer, trapping, and communication between different portions of the photosynthetic membranes.     

Kinetic model of primary energy transfer and trapping in photosynthetic membranes

The picosecond time-domain incoherent singlet excitation transfer and trapping kinetics in core antenna of photosynthetic bacteria are studied in case of low excitation intensities by numerical integration of the appropriate master equation in a wide temperature range of 4-300 K. The essential features of our two-dimensional-lattice model are as follows: Förster excitation transfer theory, spectral heterogeneity of both the light-harvesting antenna and the reaction center, treatment of temperature effects through temperature dependence of spectral bands, inclusion of inner structure of the trap, and transition dipole moment orientation. The fluorescence kinetics is analyzed in terms of distributions of various kinetic components, and the influence of different inhomogeneities (orientational, spectral) is studied.

A reasonably good agreement between theoretical and experimental fluorescence decay kinetics for purple photosynthetic bacterium Rhodospirillum rubrum is achieved at high temperatures by assuming relatively large antenna spectral inhomogeneity: 20 nm at the whole bandwidth of 40 nm. The mean residence time in the antenna lattice site (it is assumed to be the aggregate of four bacteriochlorophyll a molecules bound to proteins) is estimated to be ~12 ps. At 4 K only qualitative agreement between model and experiment is gained. The failure of quantitative fitting is perhaps due to the lack of knowledge about the real structure of antenna or local heating and cooling effects not taken into account.

     

Energy migration in purple bacteria. The criterion for discrimination between migration- and trapping-limited photosynthetic units

A criterion has been evolved for distinguishing between migration- and trapping-limited photosynthetic units (PSUs). Its application to purple bacteria has proved their PSUs to be of trapping-limited type. It means that any improvements of the molecular structure of their PSUs cannot noticeably increase the overall rate constant of excitation delivery from antenna BChls to reaction centers (RCs).Abbreviations PSUs photosynthetic units - RCs reaction centers - Chl chlorophyll - BChl bacteriochlorophyll - R intermolecular distance, _e - quantum yields of the primary excitation trapping and wasteful losses respectively - _fl excitation and fluorescence lifetimes respectively     

New Fluorescence Parameters for the Determination of QA Redox State and Excitation Energy Fluxes

A number of useful photosynthetic parameters are commonly derived from saturation pulse-induced fluorescence analysis. We show, that q(P), an estimate of the fraction of open centers, is based on a pure 'puddle' antenna model, where each Photosystem (PS) II center possesses its own independent antenna system. This parameter is incompatible with more realistic models of the photosynthetic unit, where reaction centers are connected by shared antenna, that is, the so-called 'lake' or 'connected units' models. We thus introduce a new parameter, q(L), based on a Stern-Volmer approach using a lake model, which estimates the fraction of open PS II centers. We suggest that q(L) should be a useful parameter for terrestrial plants consistent with a high connectivity of PS II units, whereas some marine species with distinct antenna architecture, may require the use of more complex parameters based on intermediate models of the photosynthetic unit. Another useful parameter calculated from fluorescence analysis is Phi(II), the yield of PS II. In contrast to q(L), we show that the Phi(II) parameter can be derived from either a pure 'lake' or pure 'puddle' model, and is thus likely to be a robust parameter. The energy absorbed by PS II is divided between the fraction used in photochemistry, Phi(II), and that lost non-photochemically. We introduce two additional parameters that can be used to estimate the flux of excitation energy into competing non-photochemical pathways, the yield induced by downregulatory processes, Phi(NPQ), and the yield for other energy losses, Phi(NO).     

Energy transfer and fluorescence mechanisms in photosynthetic membranes

Energy transfer in photosynthetic membranes involves the migration of excitons from light‐harvesting antenna chlorophyll‐protein complexes to the reaction center complexes. Recent efforts have focused on determining the time of arrival of excitons (trapping times) at the reaction centers following excitation with a single picosecond laser pulse. Three different approaches have been utilized: (1) determination of appearance of separated charges within the reaction centers by differential absorbtion spectroscopy, (2) determination of appearance of separated charges by fast photoemf measurements, and (3) kinetics of decay of fluorescence. The first two methods provide more direct information on exciton trapping by reaction centers than fluorescence methods, but are experimentally difficult to realize. Therefore, much activity has centered around the accurate measurement and analysis of fluorescence‐decay profiles by single‐photon counting methods. In green plants, about three different components with lifetimes of about 100 psec, 200 to 500 psec, and >1 nsec, have been reported. The first two components are believed to be related to trapping rates by reaction centers, while the third component is attributed to a charge recombination (Klimov) mechanism. Results from photoemf and exciton‐exciton annihilation experiments are consistent with the interpretation that the first decay component reflects exciton‐trapping rates. A critical analysis and discussion of these fast energy‐transfer phenomena in photosynthetic membranes of green plants are offered in this review.     

Survival strategy of photosynthetic organisms. 2. Experimental proof of the size variability of the unit building block of light-harvesting oligomeric antenna

The present series of papers is part of an integrated research program to understand the effective functional strategy of native light-harvesting molecular antennae in photosynthetic organisms. This work tackles the problem of the structural optimization of light-harvesting antennae of variable size. In vivo, the size responds to the illumination intensity, thus implying more sophisticated optimization strategies, since larger antenna size demands finer structural tuning. Earlier modeling experiments showed that the aggregation of the antenna pigments, apart from being itself a universal structural factor of functional antenna optimization with any (!) spatial lattice of light-harvesting molecules, determines the antenna performance provided that the degree of aggregation varies: the larger the unit building block, the higher the efficacy of the whole structure. It means that altering the degree of pigment aggregation in response to the antenna size is biologically expedient. In the case of the oligomeric chlorosomal antenna of green bacteria, the strategy of variable antenna structural optimization in response to the illumination intensity was demonstrated to take place in vivo and facilitate high antenna performance regardless of its size, thus allowing bacteria to survive in diverse illumination conditions.     

Effect of photosystem II reaction center closure on nanosecond fluorescence relaxation kinetics

The fluorescence decay of chlorophyll in spinach thylakoids was measured as a function of the degree of closure of Photosystem II reaction centers, which was set for the flowed sample by varying either the preillumination by actinic light or the exposure of the sample to the exciting pulsed laser light. Three exponential kinetic components originating in Photosystem II were fitted to the decays; a fourth component arising from Photosystem I was determined to be negligible at the emission wavelength of 685 nm at which the fluorescence decays were measured. Both the lifetimes and the amplitudes of the components vary with reaction center closure. A fast (170–330 ps) component reflects the trapping kinetics of open Photosystem II reaction centers capable of reducing the plastoquinone pool; its amplitude decreases gradually with trap closure, which is incompatible with the concept of photosynthetic unit connectivity where excitation energy which encounters a closed trap can find a different, possibly open one. For a connected system, the amplitude of the fast fluorescence component is expected to remain constant. The slow component (1.7–3.0 ns) is virtually absent when the reaction centers are open, and its growth is attributable to the appearance of closed centers. The middle component (0.4–1.7 ns) with approximately constant amplitude may originate from centers that are not functionally linked to the plastoquinone pool. To explain the continuous increase in the lifetimes of all three components upon reaction center closure, we propose that the transmembrane electric field generated by photosynthetic turnover modulates the trapping kinetics in Photosystem II and thereby affects the excited state lifetime in the antenna in the trap-limited case.Abbreviations DCMU 3-(3,4-dichlorophenyl)-1,1-dimethylurea - HEPES 4-(2-hydroxyethyl)-1-piperazineethane sulfonic acid - PQ plastoquinone - PSI and PSII Photosystem I and II - Q_A and Q_B primary and secondary quinone acceptor of PSII     

On the quenching of the fluorescence yield in photosynthetic systems

A modified matrix model describing transfer of excitation energy in the photosynthetic pigment system is discussed. In addition to the antenna pigments and reaction centers of the simple matrix model, a coupling complex is postulated mediating energy transfer between antenna and reaction centers. The values of the parameters describing the transfer properties of the coupling complex can be chosen in such a way that a number of recent unexplained measurements of fluorescence properties of various purple bacteria can be described. If such coupling complexes are present in oxygen evolving organisms, some of their properties must be different from those of purple bacteria.     

Competition between annihilation and trapping leads to strongly reduced yields of photochemistry under ps-flash excitation

Excitation of photosynthetic systems with short intense flashes is known to lead to exciton-exciton annihilation processes. Here we quantify the effect of competition between annihilation and trapping for Photosystem II, Photosystem I (thylakoids from peas and membranes from the cyanobacterium Synechocystis sp.), as well as for the purple bacterium Rhodospirillum rubrum. In none of the cases it was possible to reach complete product saturation (i.e. closure of reaction centers) even with an excitation energy exceeding 10 hits per photosynthetic unit. The parameter introduced by Deprez et al. ((1990) Biochim. Biophys. Acta 1015: 295–303) describing the competition between exciton-exciton annihilation and trapping was calculated to range between 4.5 (PS II) and 6 (Rs. rubrum). The rate constants for bimolecular exciton-exciton annihilation ranged between (42 ps)^-1 and (2.5 ps)^-1 for PS II and PS I-membranes of Synechocystis, respectively. The data are interpreted in terms of hopping times (i.e. mean residence time of the excited state on a chromophore) according to random walk in isoenergetic antenna.Abbreviations DCMU 3-(3,4-dichlorophenyl)-1,1-dimethylurea - LHC II light harvesting complex II - P primary donor - PS I Photosystem I - PS II Photosystem II - PSU photosynthetic unit - RC reaction center     

Energy transfer in a model of the photosynthetic unit of green plants

A model array is set up to represent a photosynthetic unit of 344 chlorophyll molecules of seven different spectral varieties and in definite orientations. The array is provided with two traps, representing the reaction centers of photosystems I and II. The number of jumps required to obtain a high probability of trapping is lower than on a similar array of undifferentiated chlorophylls by a factor of 15. Most of the molecules fall into two groups which transfer their energy predominantly into one or the other trap, and which may be regarded as functional photosystems I and II. The rate of transfer between these two functional photosystems can be controlled by redirecting the orientation of only six of the molecules, which occupy a key position in the array. The effect on trapping rates of reorientation of these molecules is especially pronounced when one of the traps is closed. This constitutes a model for the control of energy distribution between the two photosystems, as indicated in recent years through fluorescence studies.     

高等植物体内激子相干迁移与俘获

依据所建立的色素分子排列和取向的新型结构模型,利用激发能传递的广义主方程理论,提出了高等植物体内激子相干迁移与俘获的点阵理论,研究了静态荧光量子产额、定态能量传递速率和荧光强度的变化规律。指出激子相干迁移有助于活体的激发能转移与俘获,并且它有可能是活体内激子寿命的限制因素之一。     

Kinetic analysis of the chlorophyll fluorescence inductions from chloroplasts blocked with 3-(3,4-dichlorophenyl)-1,1-dimethylurea.

1. The induction of Photosystem II chlorophyll fluorescence from chloroplasts blocked with 3-(3,4-dichlorophenyl)-1,1-dimethylurea and uncoupled with gramicidin has been measured. 2. In agreement with other authors it was found that the addition of cations to chloroplasts suspended in a low-cation medium not only stimulated the intensity of fluorescence but also changed the shape of the induction from being nearly exponential to being sigmoid. 3. A new theory of the photosynthetic unit of Photosystem II (Paillotin, G. (1976) J. Theor. Biol. 58, 237--252) was used to analyse the fluorescence inductions. 4. A comparison of the results of the Paillotin model with the experimental data suggests that excitation energy is not able to migrate between all the photosynthetic units of a photosynthetic domain. However, it is concluded that excitation energy may migrate from one photosynthetic unit to another, and that the energy migration is in competition with other processes leading to the decay of the excitation within Photosystem II. 5. It is suggested that the size of the "functional" photosynthetic unit, defined as the number of chlorophyll molecules that may communicate with a reaction centre, is variable.     

Effects of spectral variety and molecular orientation on energy trapping in the photosynthetic unit: a model calculation

It is proposed that different spectral varieties of chlorophylls exist in the photosynthetic unit of green plants in order to accelerate the transfer of excitation energy to the reaction center, and thus allow the operation of physically larger units with greater light-harvesting power. This proposal is supported by computer calculation of trapping probabilities on model arrays containing three spectral forms of antenna chlorophyll in addition to reaction center chlorophyll. The calculations assume nearest neighbor transfer steps only, and pairwise dipolar interactions of the sort that feature in the inductive resonance mechanism of Förster. Mutual orientation of transition moment vectors also affects the number of jumps and the time needed for energy trapping. Spectral variety increases the trapping rate by a factor of 4 to 5 over the uniform chlorophyll rate on the arrays examined, and the proper use of orientation may introduce a similar factor. The arguments here provide a plausible explanation not only for the existence of the more abundant forms of chlorophyll a, but also for the specialized form “C705” and for chlorophyll b.     

Transfer of excitation energy in photosynthesis: some thoughts

The aim of the present paper is to aid biologists understand the complex physical problems of intramolecular energy transfer, in particular, between antenna (bacterio) chlorophyll molecules in vivo.The author has attempted, in the first part of the paper, to explain complicated processes of excitation transfer in a language understandable to readers with knowledge in fundamentals of general physics, but not in molecular optics.The second part of this paper is a critical review relevant to the specifics of physical theories and their applicability to the problem of energy transfer in antenna (bacterio) chlorophylls ((B) Chls) to reaction centers (RCs) in the photosynthetic organisms.Abbreviations PSU photosynthetic unit - RC reaction center - Chl chlorophyll - BChl bacteriochlorophyll - _r intrinsic radiactive lifetime - _fl fluorescence lifetime - _fl fluorescence quantum yield - S^* singlet excited state of a molecule     

Long-wavelength absorbing antenna pigments and heterogeneous absorption bands concentrate excitons and increase absorption cross section

The light-harvesting apparatus of photosynthetic organisms is highly optimized with respect to efficient collection of excitation energy from photons of different wavelengths and with respect to a high quantum yield of the primary photochemistry. In many cases the primary donor is not an energetic trap as it absorbs hypsochromically compared to the most red-shifted antenna pigment present (long-wavelength antenna). The possible reasons for this as well as for the spectral heterogeneity which is generally found in antenna systems is examined on a theoretical basis using the approach of thermal equilibration of the excitation energy. The calculations show that long-wavelength antenna pigments and heterogeneous absorption bands lead to a concentration of excitons and an increased effective absorption cross section. The theoretically predicted trapping times agree remarkably well with experimental data from several organisms. It is shown that the kinetics of the energy transfer from a long-wavelength antenna pigment to a hypsochromically absorbing primary donor does not represent a major kinetic limitation. The development of long-wavelength antenna and spectrally heterogeneous absorption bands means an evolutionary advantage based on the chromatic adaptation of photosynthetic organelles to spectrally filtered light caused by self-absorption.Abbreviations LHC light-harvesting complex - P primary donor - PSI Photosystem I of green plants - PS II Photosystem II of green plants - RC reaction center - X primary acceptor