Electronic excitation transfer in the photosynthetic unit: Reflections on work of William Arnold.

Among his many contributions to photosynthesis, William Arnold made critical suggestions about the mechanism of the initial stages of excitation energy transfer and its measurement. Thus he helped found not only the general concept of the photosynthetic unit but also the key idea behind the detailed functional aspects of its 'chlorophyll antenna'. We review the development of these ideas and the modern form in which they have emerged.

The relationship of intercompartmental excitation transfer rate constants to those of an underlying physical model.

In studies on photosynthetic systems it is common practice to interpret the results of time-resolved fluorescence experiments on the basis of compartmental, or target, models. Each compartment represents a group of molecules with similar fluorescence characteristics. In cases of practical interest, the members of each compartment are spatially contiguous and make up part of an overall energy-transferring system. Since a rate constant describing the overall transfer between compartments is not that of any pair of molecules in the system, this question naturally rises: what do we learn about the microscopic structure from these data? In this note we introduce 'compartment melting', a smooth mathematical connection between the compartmental and microscopic levels. We then show, on the basis of model calculations on finite lattices in one, two, and three dimensions, that average microscopic rates at the interfaces between compartments may be estimated from observed intercompartmental rates. The estimate involves a modest number of structural assumptions about the system. As examples of the method, which is applicable mainly to systems containing homogeneous pigment pools, some recent chlorophyll-protein antenna studies are analyzed.

Oxygen consumption and diffusion effects in photodynamic therapy.

Effects of oxygen consumption in photodynamic therapy (PDT) are considered theoretically and experimentally. A mathematical model of the Type II mechanism of photooxidation is used to compute estimates of the rate of therapy-dependent in vivo oxygen depletion resulting from reactions of singlet oxygen (1O2) with intracellular substrate. Calculations indicate that PDT carried out at incident light intensities of 50 mW/cm2 may consume 3O2 at rates as high as 6-9 microM s-1. An approximate model of oxygen diffusion shows that these consumption rates are large enough to decrease the radius of oxygenated cells around an isolated capillary. Thus, during photoirradiation, cells sufficiently remote from the capillary wall may reside at oxygen tensions that are low enough to preclude or minimize 1O2-mediated damage. This effect is more pronounced at higher power densities and accounts for an enhanced therapeutic response in tumors treated with 360 J/cm2 delivered at 50 mW/cm2 compared to the same light dose delivered at 200 mW/cm2. The analysis further suggests that the oxygen depletion could be partially overcome by fractionating the light delivery. In a transplanted mammary tumor model, a regimen of 30-s exposures followed by 30-s dark periods produced significantly longer delays in tumor growth when compared to the continuous delivery of the same total fluence.

Studies of excitation energy transfer within the green alga Chlamydomonas reinhardtii and its mutants at 77 K.

The 77 K picosecond fluorescence of intact Chlamydomonas reinhardtii exhibits a 680-nm band (F680) that can be identified with light-harvesting chlorophyll. Analysis of the time and spectral dependence of F680 reveal a forward transfer rate of 1/(15 ps) from this 680-nm species to photosystem II. The possibility of transfer through LHC I, the light-harvesting complex closely associated with photosystem I with a transfer time of 60 to 100 ps, is indicated by analysis of similar data in the 700-720 nm region. Simple kinetic models that account for the time dependence of the emissions F707, F703 and F715 are proposed.

Picosecond fluorescence of R3230AC mammary carcinoma mitochondria after treatment with hematoporphyrin derivative and Photofrin II in vivo.

Hematoporphyrin derivative (HPD) and other porphyrin samples were excited by 20-ps 532-nm laser pulses. Fluorescence was detected using a low-jitter streak camera. Data were fitted to a sum of exponential decay times on the order of picoseconds. Fluorescence of porphyrins in aqueous solution show various behaviors depending on the hydrophobicity of the porphyrins. The most hydrophilic porphyrins show long decays only (greater than 500 ps). Porphyrins intermediate in hydrophobicity have intensity-dependent fast decays. The most hydrophobic have fast decays (less than 20 ps). Picosecond fluorescences of mitochondria prepared from rat tumors treated in vivo with HPD or Photofrin II show an increase in the ratio of fast to slow decays when compared to the injected porphyrins. These results are consistent with the concentration of the more hydrophobic porphyrins in mitochondria in photosensitization treatment. Thus picosecond fluorescence studies of porphyrins may provide a means to obtain photoproperties which differentiate between effective and ineffective in vivo photosensitizers.

Theory of picosecond-laser-induced fluorescence from highly excited complexes with small numbers of chromophores.

The problem of singlet excitation kinetics and dynamics, especially at high excitation intensities, among a small number of chromophores of a given system has been addressed. A specific scheme for the kinetics is suggested and applied to CPII, a small chlorophyll (Chl)a/b antenna complex the fluorescence lifetime of which has been reported to be independent of excitation intensity over a wide intensity range of picosecond pulses. We have modeled the kinetics from the point of view that Chla molecules in CPII are Förster coupled so that a second excitation received by the group of Chla's either creates a state with two localized excitons or raises the first one to a doubly excited state. The data on CPII can be understood on the basis of a kinetic model that does not exclude exciton annihilation during the excitation pulse. The implied annihilation rate is consistent with our theoretical estimates of that rate obtained by applying excitation transfer theory to pairs of molecules both initially excited.

Energy migration and exciton trapping in green plant photosynthesis.

The possible origins of the different fluorescence decay components in green plants are discussed in terms of a random walk and Butler's bipartite model. The interaction of the excitations with the photosystem II reaction centers and, specifically, the regeneration of theses excitations by charge recombination within the reaction centers, are considered. Based on comparisons between fluorescence decay profiles, time-dependent exciton annihilation and photoelectric phenomena, it appears that the fast 200 ps decay component corresponds to primary energy transport from the antenna to the reaction centers and is dominant in filling the photosystem II reaction centers.

Energy distribution in the photochemical apparatus of Porphyridium cruentum: Picosecond fluorescence spectroscopy of cells in state 1 and state 2 at 77 K.

Excitation energy distribution in Porphyridium cruentum in state 1 and state 2 was investigated by time resolved 77 K fluorescence emission spectroscopy. The fluorescence rise times of phycoerythrin, phycocyanin and allophycocyanin (in cells in state 1 and state 2) were very similar in contrast to the emission from chlorophyll a (Chl a) associated with the two photosystems. In state 2 photosystem II (PSII) Chl a fluorescence emission rose faster than the PSI Chl a emission and decayed more rapidly, and the converse was observed in state 1. These kinetic data support the concept of increased energy transfer from PSII Chl a to PSI Chl a in state 2 in P. cruentum.

Picosecond fluorescence of cryptomonad biliproteins. Effects of excitation intensity and the fluorescence decay times of phycocyanin 612, phycocyanin 645, and phycoerythrin 545.

The fluorescence of purified biliproteins (phycocyanin 645, phycocyanin 612, and phycoerythrin 545) from three cryptomonads, Chroomonas species, Hemiselmis virescens, and Rhodomonas lens, and C-phycocyanin from Anacystis nidulans has been time resolved in the picosecond region with a streak camera system having less than or equal to 2-ps jitter. The fluorescence lifetimes of phycocyanins from Chroomonas species and Hemiselmis virescens are 1.5 +/- 0.2 ns and 2.3 +/- 0.2 ns, respectively, regardless of the fluence of the 30 ps, 532-nm excitation pulse. (Fluence [or photons/cm2] = f intensity [photons/cm2s]dt.). In contrast, that of C-phycocyanin is 2.3 +/- 0.2 ns when the excitation fluence is 8.2 X 10(11) photons/cm2 and decreases to a decay approximated by an exponential decay time of 0.65 +/- 0.1 ns at 7.2 X 10(16) photons/cm2. The cryptomonad phycoerythrin fluorescence decay lifetime is also dependent on intensity, having a decay time of 1.5 +/- 0.1 ns at low fluences and becoming clearly biphasic at higher fluences (greater than 10(15) photons/cm2). We interpret the shortening of decay times for C-phycocyanin and phycoerythrin 545 in terms of exciton annihilation, and have discussed the applicability of exciton annihilation theories to the high fluence effects.

Theory of fluorescence polarization in magnetically oriented photosynthetic systems.

Many cells and cell fragments are known to assume specific alignments with respect to an applied magnetic field. One indicator of this alignment is a difference between the intensities of fluorescence observed in polarizations parallel and perpendicular to the magnetic filed. We calculate these two intensities using a model that assumes axially symmetric membranes and that covers a wide variety of shapes from flat disk to right cylinder. The fluorescence is assumed to originate at chromophores randomly exicted but nonrandomly oriented in the membranes. The membrane alignment is assumed to be due to the net torque on a nonrandom distribution of diamagnetically anisotropic molecules. The predicted results are consistent with most magnetoorientation data from green cells, but we are able to show that Chlorella data are not consistent with the hypothesis that the membranes have, and maintain, a cuplike configuration.

Fluorescence of light-harvesting chlorophyll a/b-protein complexes: implications for the photosynthetic unit.

To the extent that extracted light-harvesting chlorophyll proteins (LHCPs) retain the chlorophyll configuration which they had in vivo, information on the optical properties of LHCPs is useful for an assessment of the transfer process of the primary excitation energy in photosynthesis. Within this context we report and discuss the implication of three kinds of data on spinach chloroplast LHCP. First, an analysis of the spectroscopic dependence of absorption, polarization and circular dichroism (reported recently by R.L.V.) suggests a model affording the possibility of easy chlorophyll a intercomplex transfer with chlorophyll b groups acting as local antitraps. Second, the ratio of LHCP emission and absorption probabilities obeys the Stepanov relation over a relatively wide range, an observation which suggests rapid Chl b-Chl a excitation equilibration. Finally, an LHCP absolute fluorescence yield as great as 10% has been measured, which provides a possible upper limit for the yield of the antenna fluorescence.

Thermodynamics and the primary processes of photosynthesis.

Numerous discussions of the relationship of the thermodynamics of radiation to photosynthesis have been published, but the results are often in disagreement or at best difficult to compare with one another. The recent treatment of maximal photosynthetic efficiencies by Ross and Calvin is here shown to be directly related to the thermodynamic method of Duysens. A smooth connection between the light and dark conditions is derived, the case of polarized light is considered briefly, and a critique of some other thermodynamic treatments is presented.