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1H NMR studies of deuterated ribonuclease HI selectively labeled with protonated amino acids.

Two-dimensional (2D) 1H NMR experiments using deuterium labeling have been carried out to investigate the solution of ribonuclease HI (RNase HI) from Escherichia coli (E. coli), which consists of 155 amino acids. To simplify the 1H NMR spectra, two fully deuterated enzymes bearing several protonated amino acids were prepared from an RNase HI overproducing strain of E. coli grown in an almost fully deuterated medium. One enzyme was selectively labeled by protonated His, Ile, Val, and Leu. The other was labeled by only protonated His and Ile. The 2D 1H NMR spectra of these deuterated RNase HI proteins, selectively labeled with protonated amino acids, were much more simple than those of the normally protonated enzyme. The simplified spectra allowed unambiguous assignments of the resonance peaks and connectivities in COSY and NOESY for the side-chain protons. The spin-lattice relaxation times of the side-chain protons of the buried His residue of the deuterated enzyme became remarkably longer than that of the protonated enzyme. In contrast, the relaxation times of the side-chain protons of exposed His residues remained essentially unchanged.

Amino Acid Sequence↗

Proton binding to biological membranes.

Biological membranes contain proton-binding moieties. A laser-induced proton pulse was used to characterize the proton-binding properties of bacterioopsin-containing membranes and of sarcoplasmic reticulum. Different protonation and deprotonation processes occurred. The liberation of protons from pyranine dye and the protonation of the membranes were independent of temperature; the reprotonation of pyranine and proton release from the membranes were temperature dependent. In the cases of membrane-free and membrane-containing systems, the activation enthalpies and entropies were calculated from the decay rates. The activation enthalpy of 16 kJ/mol for reprotonation of pyranine in membrane-free solution is characteristic for a diffusion-controlled process. The value for the membrane-containing systems was nearly double, suggesting that the buffering moieties of the membrane surfaces strongly bind the protons, raising the activation enthalpies. This is possibly an effect of the Coulomb cages formed from closely located proton acceptor sites. The activation entropies were positive in all cases.

Arylsulfonates↗

Phospholipid vesicles containing bovine heart mitochondrial cytochrome c oxidase exhibit proton translocating activity in the presence of gramicidin.

Phospholipid vesicles containing bovine heart mitochondrial cytochrome c oxidase (COV) were characterized for electron transfer and proton translocating activities in the presence of the mobile potassium ionophore, valinomycin, and the channel-forming ionophore, gramicidin, in order to determine if the ionophores modify the functional properties of the enzyme. In agreement with previous work, incubation of COV with valinomycin resulted in a perturbation of the absorbance spectrum of oxidized heme aa3 in the Soret region (430 nm); gramicidin had no effect on the heme aa3 absorbance spectrum. Different concentrations of the two ionophores were required for maximum respiratory control ratios in COV; 40- to 70-fold higher concentrations of valinomycin were required to completely uncouple electron transfer activity when compared to gramidicin. The proton translocating activity of COV incubated with each inophore gave a similar apparent proton translocated to electron transferred stoichiometry (H+/e- ratio) of 0.66 +/- 0.10. However, COV treated with low concentrations of gramicidin (0.14 mg/g phospholipid) exhibited 1.5- to 2.5-fold higher rates of alkalinization of the extravesicular media after the initial proton translocation reaction than did COV treated with valinomycin, suggesting that gramicidin allows more rapid equilibration of protons across the phospholipid bilayer during the proton translocation assay. Moreover, at higher concentrations of gramicidin (1.4 mg/g phospholipid), the observed H+/e- ratio decreased to 0.280 +/- 0.020, while the rate of alkalinization increased an additional 2-fold, suggesting that at higher concentrations, gramicidin acts as a proton ionophore. These results support the hypothesis that cytochrome c oxidase is a redox-linked proton pump that operates at similar efficiencies in the presence of either ionophore. Low concentrations of gramicidin dissipate the membrane potential in COV most likely by a channel mechanism that is different from the carrier mechanism of valinomycin, yet does not make the phospholipid bilayer freely permeable to protons.

Animals↗

Characterization of CO2/carbonic acid mediated proton flux through phosphatidylcholine vesicles as model membranes.

The apparent proton permeability coefficient for phospholipid vesicles measured in our laboratory (Norris, F. A. and Powell, G. L. (1990) Biochim. Biophys. Acta 1030, 165-171) for proton flux initiated by rapidly lowering of the external pH (acid jump) was a linear function of the reciprocal internal proton concentration. This behavior was ascribed to the presence of the weak acid carriers, carbonic acid/CO2/bicarbonate. In the present work, a theoretical description, appropriate for proton transport by any weak acid carrier, has been developed which lends itself to novel graphical treatment permitting the separate estimation of the permeability coefficients for protons, hydroxide ions and bicarbonate. The proton permeability coefficient determined by this method was 1.8 x 10(-5) (S.E. 1.3 x 10(-5)) cm/s; that for hydroxide ion was 3.8 x 10(-5) (S.E. 5.6 x 10(-6)) cm/s and a lower limit for the permeability of bicarbonate ion, 4.3 x 10(-6) (S.E. 3.6 x 10(-7) cm/s, can be set. The presence of negative surface charge on the lipid bilayer increased the observed proton permeability coefficient in accordance with Gouy-Chapman theory. The charge was introduced by preparing vesicles containing increasing amounts of negatively charged dioleoylphosphatidylglycerol. The observed proton permeability coefficient increased and the observed permeability coefficients for hydroxide ion and bicarbonate decreased. The addition of the lipophilic cations, valinomycin-K+ and tetrabutylammonium ion increased the slope of P vs. 1/[Hi+]. These changes are analogous to those reported for the permeant weak acid uncouplers FCCP and CCCP. These studies demonstrated that CO2/carbonic acid was an effective carrier of protons across phospholipid model membranes.

Carbon Dioxide↗

[3H]Bafilomycin as a probe for the transmembrane proton channel of the osteoclast vacuolar H(+)-ATPase.

Bone resorption by the osteoclast is dependent on acidification of the bone surface by a vacuolar type H+-ATPase (V-ATPase) present in the ruffled membrane of the actively resorbing cell. V-ATPases are a highly conserved family of proton pumps consisting of two functional complexes: a cytoplasmic catalytic sector (VC) and a membrane bound proton channel (VB). Bafilomycin A1, a macrolide antibiotic, is a highly potent inhibitor of V-ATPases, and inhibits bone resorption in vitro in isolated rat calvariae. In order to investigate the binding of bafilomycin to the osteoclast V-ATPase, we used a tritiated bafilomycin which had been prepared by acetylating the 21-hydroxyl group of bafilomycin A1. Osteoclast ruffled membrane vesicles were prepared from purified chicken osteoclasts by differential centrifugation and proton transport in these vesicles was shown to be inhibited by [3H]bafilomycin (IC50 approximately 2 nM). Control membrane vesicles or membrane vesicles partially inhibited with [3H]bafilomycin were solubilized and separated by centrifugation on 15-30% glycerol gradients. V-ATPase activity and reconstitutable proton transport activity could be recovered in high density fractions of the gradient. However, the peak of [3H]bafilomycin radioactivity (>70% of total radioactivity in the gradient) was present in a single peak at lower density. Antibodies against subunits of VC (70, 56 and 40 kDa) reacted only in fractions containing the peak V-ATPase activity whereas an antibody to the 39 kDa subunit of VB reacted both with fractions containing the peak V-ATPase activity but also, and more strongly, in fractions containing the peak [3H]bafilomycin. The fractions in the control gradient corresponding to the peak of [3H]bafilomycin were reconstituted into liposomes and shown to mediate passive bafilomycin A1-inhibitable proton conductance. SDS-PAGE followed by autoradiography, indicated that the bafilomycin was not covalently bound to the V-ATPase or the proton channel. Quantification of VB by [3H]bafilomycin binding or by antibody staining suggested an excess of the free proton channel to that of the intact holoenzyme. A corresponding amount of free catalytic sector could not be found in any fraction throughout the isolation procedure of the V-ATPase from the initial homogenate. Thus, in conclusion, bafilomycin inhibits the V-ATPase by binding tightly but non-covalently to the proton channel region of the V-ATPase which appears to be present in excess over the intact holoenzyme in the osteoclast. The possible role of an excess of the proton channel subcomplex in the osteoclast is discussed.

Animals↗

Quantitative evaluation of the dynamics of proton transfer from photoactivated bacteriorhodopsin to the bulk.

It has been reported by many research groups that protons released during the photocycle of bacteriorhodopsin are detected by surface bound indicators much faster than by indicators in the bulk. In this study we used numerical simulation of chemical reaction's dynamics for analyzing the delayed appearance of protons in the bulk. The results indicate that the low pK surface groups of the membrane, which form an undilutable concentrated matrix of proton binding sites, retain the protons in this space according to the mass action law. The main sites for proton accumulation are the cluster of carboxylates on the cytoplasmic side of the membrane. The protonation of an indicator in the bulk does not proceed by its reaction with free proton, but rather through self-diffusion of the indicator to the membrane and abstraction of proton from the protonated surface group. The detailed mechanisms which correspond with these reactions are reported.

Bacteriorhodopsins↗

Formation of intermolecular and intramolecular hydrogen bonds in histidine-binding protein J of Salmonella typhimurium upon binding L-histidine. A proton nuclear magnetic resonance study.

Histidine-binding protein J of Salmonella typhimurium has been chosen as a model system for a proton nuclear magnetic resonance spectroscopic investigation of binding protein-ligand interaction. This interaction is involved in the recognition step of the osmotic shock-sensitive active transport systems. When J protein binds L-histidine, four new, low-field, exchangeable proton resonances appear in the region +7 to +12 parts per million downfield from the water proton resonance (or +11.7 to +16.7 parts per million downfield from the methyl proton resonance of 2,2-dimethyl-2-silapentane-5-sulfonate). Due to their chemical shift range and other properties, they indicate the formation of both intra- and intermolecular hydrogen bonds. Experiments with 15N-labeled compounds confirm this conclusion. The specificity of the hydrogen-bond formation is demonstrated by observing the effects of substrate analogs, temperature, pH, and mutations on the exchangeable proton resonances. Proton-proton nuclear Overhauser effect measurements suggest that two of these exchangeable proton resonances (at +7.2 and +10.6 parts per million from H2O) are most likely from intramolecular hydrogen-bonded protons, while the other two (at +7.1 and +9.5 parts per million from H2O) are intermolecular hydrogen bonds. Our finding of L-histidine-induced hydrogen-bond formation in histidine-binding protein J in the solution state is an excellent demonstration of the production of specific conformational changes in a periplasmic binding protein upon binding of ligand.

Carrier Proteins↗

Clinical results of fractionated proton therapy.

PURPOSE: Preliminary results of a multi-site Phase I-II clinical trial investigating the efficacy of high-energy proton beams in a wide variety of human malignancies are reported. METHODS AND MATERIALS: Since 1983 proton radiotherapy using 250 MeV proton beams produced by a booster synchrotron of the National Laboratory for High Energy Physics has been carried out at Proton Medical Research Center, University of Tsukuba. As of September 1990, a total of 147 patients received a partial or full treatment with proton beams with curative intent; 92 patients (63%) were treated with proton beams alone and 55 patients (37%) with combined photon and proton beams. There were 91 males and the mean age was 61.8 years old. The follow-up observation period ranged from 10 to 97 months. With regard to a total tumor dose, nearly 80% of patients received 70 Gy or more and 53% received 80 Gy or more. While dose-fractionations used depended upon tumor sites, the large majority of patients received substantially high radiation doses in terms of larger total doses (> 70 Gy) and larger fraction sizes (> 2.5 Gy) than those traditionally used. This fractionation regimen has been used because of limited availability of the accelerator or a shortage of machine time (27-30 weeks/year, 3-3.5 hr/day), and also by the expectation that the superior dose distribution possible with protons will permit administration of high radiation doses without increasing morbidities. In connection with this, we have determined the target volume by setting margins around the tumor boundary as practically small as possible, ranging from 5 to 10 mm. RESULTS AND CONCLUSIONS: The current trial has been based on a site and dose searching program, hence a wide variety of tumor sites including the aerodigestive organs has been treated. So far, our judgment is that proton therapy has proven of potential advantage in treatment of the lung, esophageal, liver, uterine cervix, prostate, and head and neck malignancies; and of possible value in treatment of high-grade gliomas, and gastric, urinary bladder, and pediatric tumors.

Adolescent↗

The influence of a transmembrane pH gradient on protonation probabilities of bacteriorhodopsin: the structural basis of the back-pressure effect.

Bacteriorhodopsin pumps protons across a membrane using the energy of light. The proton pumping is inhibited when the transmembrane proton gradient that the protein generates becomes larger than four pH units. This phenomenon is known as the back-pressure effect. Here, we investigate the structural basis of this effect by predicting the influence of a transmembrane pH gradient on the titration behavior of bacteriorhodopsin. For this purpose we introduce a method that accounts for a pH gradient in protonation probability calculations. The method considers that in a transmembrane protein, which is exposed to two different aqueous phases, each titratable residue is accessible for protons from one side of the membrane depending on its hydrogen-bond pattern. This method is applied to several ground-state structures of bacteriorhodopsin, which residues already present complicated titration behaviors in the absence of a proton gradient. Our calculations show that a pH gradient across the membrane influences in a non-trivial manner the protonation probabilities of six titratable residues which are known to participate in the proton transfer: D85, D96, D115, E194, E204, and the Schiff base. The residues connected to one side of the membrane are influenced by the pH on the other side because of their long-range electrostatic interactions within the protein. In particular, D115 senses the pH at the cytoplasmic side of the membrane and transmits this information to D85 and the Schiff base. We propose that the strong electrostatic interactions found between D85, D115, and the Schiff base as well as the interplay of their respective protonation states under the influence of a transmembrane pH gradient are responsible for the back-pressure effect on bacteriorhodopsin.

Bacteriorhodopsins↗

Differential effects induced by alpha- and beta-endosulfan in lipid bilayer organization are reflected in proton permeability.

The effects of two insecticides isomers, alpha- and beta-endosulfan, on the passive proton permeability of large unilamellar vesicles (LUV) reconstituted with dipalmitoylphosphatidylcholine (DPPC) or mitochondrial lipids were reported. In DPPC (LUV) gel phase, at 30 degrees C, the global kinetic constant (K) of proton permeability (proportional to the proton permeability) initially increased slightly with the increase of alpha-endosulfan/lipid molar ratio up to 0.143. In the range from 0.143 to 0.286, a discontinuity in the increment occurred and, above this range, the proton permeability increased substantially. In DPPC fluid phase, at 48 degrees C, the proton permeability showed a behavior identical to that observed in gel DPPC, with a sharp increase for alpha-endosulfan/lipid molar ratios ranging from 0.143 to 0.286. At these and higher concentrations, alpha-endosulfan induced phase separation in the plane of DPPC membranes, as revealed by differential scanning calorimetry (DSC). Conversely to alpha-endosulfan, beta-endosulfan induced only a slight increase in the proton permeability, either in the fluid or the gel phase of DPPC, for all beta-endosulfan/lipid molar ratios tested. Additionally, the effects of the endosulfan isomers on the proton permeability of mitochondrial fluid lipid dispersions, at 37 degrees C, are similar to those described for DPPC. The beta-isomer induced a very small effect, and alpha-endosulfan, at low concentrations, increased slightly the proton permeability, but for insecticide/lipid molar ratios above 0.143 the permeability increased substantially. Consequently, the membrane physical state of synthetic and native lipid dispersions, as affected by the structural features of alpha- and beta-endosulfan, influenced the proton permeability. The effects here observed in vitro suggest that the formation of lateral membrane domains may underlay the biological activity of alpha-endosulfan in vivo, contributing to its higher degree of toxicity as compared with beta-endosulfan.

1,2-Dipalmitoylphosphatidylcholine↗

Bacteriorhodopsin: a high-resolution structural view of vectorial proton transport.

Recent 3-D structures of several intermediates in the photocycle of bacteriorhodopsin (bR) provide a detailed structural picture of this molecular proton pump in action. In this review, we describe the sequence of conformational changes of bR following the photoisomerization of its all-trans retinal chromophore, which is covalently bound via a protonated Schiff base to Lys216 in helix G, to a 13-cis configuration. The initial changes are localized near the protein's active site and a key water molecule is disordered. This water molecule serves as a keystone for the ground state of bR since, within the framework of the complex counter ion, it is important both for stabilizing the structure of the extracellular half of the protein, and for maintaining the high pK(a) of the Schiff base (the primary proton donor) and the low pK(a) of Asp85 (the primary proton acceptor). Subsequent structural rearrangements propagate out from the active site towards the extracellular half of the protein, with a local flex of helix C exaggerating an early movement of Asp85 towards the Schiff base, thereby facilitating proton transfer between these two groups. Other coupled rearrangements indicate the mechanism of proton release to the extracellular medium. On the cytoplasmic half of the protein, a local unwinding of helix G near the backbone of Lys216 provides sites for water molecules to order and define a pathway for the reprotonation of the Schiff base from Asp96 later in the photocycle. A steric clash of the photoisomerized retinal with Trp182 in helix F drives an outward tilt of the cytoplasmic half of this helix, opening the proton transport channel and enabling a proton to be taken up from the cytoplasm. Although bR is the first integral membrane protein to have its catalytic mechanism structurally characterized in detail, several key results were anticipated in advance of the structural model and the general framework for vectorial proton transport has, by and large, been preserved.

Bacteriorhodopsins↗

Thermodynamic view of activation energies of proton transfer in various gramicidin A channels.

The temperature dependencies (range: 5-45 degrees C) of single-channel proton conductances (g(H)) in native gramicidin A (gA) and in two diastereoisomers (SS and RR) of the dioxolane-linked gA channels were measured in glycerylmonooleate/decane (GMO) and diphytanoylphosphatidylcholine/decane (DiPhPC) bilayers. Linear Arrhenius plots (ln (g(H)) versus K(-1)) were obtained for the native gA and RR channels in both types of bilayers, and for the SS channel in GMO bilayers only. The Arrhenius plot for proton transfer in the SS channel in DiPhPC bilayers had a break in linearity around 20 degrees C. This break seems to occur only when protons are the permeating cations in the SS channel. The activation energies (E(a)) for proton transfer in various gA channels (approximately 15 kJ/mol) are consistent with the rate-limiting step being in the channel and/or at the membrane-channel/solution interface, and not in bulk solution. E(a) values for proton transfer in gA channels are considerably smaller than for the permeation of nonproton currents in gA as well as in various other ion channels. The E(a) values for proton transfer in native gA channels are nearly the same in both GMO and DiPhPC bilayers. In contrast, for the dioxolane linked gA dimers, E(a) values were strongly modulated by the lipid environment. The Gibbs activation free energies (Delta G(#)(o)) for protons in various gA channels are within the range of 27-29 kJ/mol in GMO bilayers and of 20-22 kJ/mol in DiPhPC bilayers. The largest difference between Delta G(#)(o) for proton currents occurs between native gA (or SS channels) and the RR channel. In general, the activation entropy (Delta S) is mostly responsible for the differences between g(H) values in various gA channels, and also in distinct bilayers. However, significant differences between the activation enthalpies (Delta H(#)(o)) for proton transfer in the SS and RR channels occur in distinct membranes.

Gramicidin↗

Probing the Q-proton pathway of ba3-cytochrome c oxidase by time-resolved Fourier transform infrared spectroscopy.

In cytochrome c oxidase, the terminal respiratory enzyme, electron transfers are strongly coupled to proton movements within the enzyme. Two proton pathways (K and D) containing water molecules and hydrophobic amino acids have been identified and suggested to be involved in the proton translocation from the mitochondrial matrix or the bacterial cytoplasm into the active site. In addition to the K and D proton pathways, a third proton pathway (Q) has been identified only in ba3-cytochrome c oxidase from Thermus thermophilus, and consists of residues that are highly conserved in all structurally known heme-copper oxidases. The Q pathway starts from the cytoplasmic side of the membrane and leads through the axial heme a3 ligand His-384 to the propionate of the heme a3 pyrrol ring A, and then via Asn-366 and Asp-372 to the water pool. We have applied FTIR and time-resolved step-scan Fourier transform infrared (TRS2-FTIR) spectroscopies to investigate the protonation/deprotonation events in the Q-proton pathway at ambient temperature. The photolysis of CO from heme a3 and its transient binding to CuB is dynamically linked to structural changes that can be tentatively attributed to ring A propionate of heme a3 (1695/1708 cm(-1)) and to deprotonation of Asp-372 (1726 cm(-1)). The implications of these results with respect to the role of the ring A propionate of heme a3-Asp372-H2O site as a proton carrier to the exit/output proton channel (H2O pool) that is conserved among all structurally known heme-copper oxidases, and is part of the Q-proton pathway in ba3-cytochrome c oxidase, are discussed.

Cell Membrane↗

Connection between the taxonomic substates and protonation of histidines 64 and 97 in carbonmonoxy myoglobin.

Infrared spectra of heme-bound CO in sperm whale carbonmonoxy myoglobin and two mutants (H64L and H97F) were studied in the pH range from 4.2 to 9.5. Comparison of the native protein with the mutants shows that the observed pH effects can be traced to protonations of two histidine residues, H64 and H97, near the active site. Their imidazole sidechains experience simple, uncoupled Henderson-Hasselbalch type protonations, giving rise to four different protonation states. Because two of the protonation states are linked by a pH-independent equilibrium, the overall pH dependence of the spectra is described by a linear combination of three independent components. Global analysis, based on singular value decomposition and matrix least-squares algorithms enabled us to extract the pK values of the two histidines and the three basis spectra of the protonating species. The basis spectra were decomposed into the taxonomic substates A(0), A(1), and A(3), previously introduced in a heuristic way to analyze CO stretch spectra in heme proteins at fixed pH (see for instance, Biophys. J. 71:1563-1573). Moreover, an additional, weakly populated substate, called A(x), was identified. Protonation of H97 gives rise to a blue shift of the individual infrared lines by about 2 cm(-1), so that the A substates actually appear in pairs, such as A(0) and A(0)(+). The blue shift can be explained by reduced backbonding from the heme iron to the CO. Protonation of the distal histidine, H64, leads to a change of the infrared absorption from the A(1) or A(3) substate lines to A(0). This behavior can be explained by a conformational change upon protonation that moves the imidazole sidechain of H64 away from the CO into the high-dielectric solvent environment, which avoids the energetically unfavorable situation of an uncompensated electric charge in the apolar, low-dielectric protein interior. Our results suggest that protonation reactions serve as an important mechanism to create taxonomic substates in proteins.

Animals↗

Proton transfer pathways and mechanism in bacterial reaction centers.

The focus of this minireview is to discuss the state of knowledge of the pathways and rates of proton transfer in the bacterial reaction center (RC) from Rhodobacter sphaeroides. Protons involved in the light driven catalytic reduction of a quinone molecule QB to quinol QBH2 travel from the aqueous solution through well defined proton transfer pathways to the oxygen atoms of the quinone. Three main topics are discussed: (1) the pathways for proton transfer involving the residues: His-H126, His-H128, Asp-L210, Asp-M17, Asp-L213, Ser-L223 and Glu-L212, which were determined by a variety of methods including the use of proton uptake inhibiting metal ions (e.g. Zn2+ and Cd2+); (2) the rate constants for proton transfer, obtained from a 'chemical rescue' study was determined to be 2 x 10(5) s(-1) and 2 x 10(4) s(-1) for the proton uptake to Glu-L212 and QB-*, respectively; (3) structural studies of altered proton transfer pathways in revertant RCs that lack the key amino acid Asp-L213 show a series of structural changes that propagate toward L213 potentially allowing Glu-H173 to participate in the proton transfer processes.

Binding Sites↗

A treatment planning inter-comparison of proton and intensity modulated photon radiotherapy.

PURPOSE: A comparative treatment planning study has been undertaken between standard photon delivery techniques,b intensity modulated photon methods and spot scanned protons in order to investigate the merits and limitations of each of these treatment approaches. METHODS: Plans for each modality were performed using CT scans and planning information for nine patients with varying indications and lesion sites and the results have been analysed using a variety of dose and volume based parameters. RESULTS: Over all cases, it is predicted that the use of protons could lead to a reduction of the total integral dose by a factor three compared to standard photon techniques and a factor two compared to IM photon plans. In addition, in all but one Organ at Risk (OAR) for one case, protons are predicted to reduce both mean OAR dose and the irradiated volume at the 50% mean target dose level compared to both photon methods. However, when considering the volume of an OAR irradiated to 70% or more of the target dose, little difference could be shown between proton and intensity modulated photon plans. On comparing the magnitude of dose hot spots in OARs resulting from the proton and IM photon plans, more variation was observed, and the ranking of the plans was then found to be case and OAR dependent. CONCLUSIONS: The use of protons has been found to reduce the medium to low dose load (below about 70% of the target dose) to OARs and all non-target tissues compared to both standard and inversely planned photons, but that the use of intensity modulated photons can result in similar levels of high dose conformation to that afforded by protons. However, the introduction of inverse planning methods for protons is necessary before general conclusions on the relative efficacy of photons and protons can be drawn.

Algorithms↗

Proton dosimetry intercomparison based on the ICRU report 59 protocol.

BACKGROUND AND PURPOSE: A new protocol for calibration of proton beams was established by the ICRU in report 59 on proton dosimetry. In this paper we report the results of an international proton dosimetry intercomparison, which was held at Loma Linda University Medical Center. The goals of the intercomparison were, first, to estimate the level of consistency in absorbed dose delivered to patients if proton beams at various clinics were calibrated with the new ICRU protocol, and second, to evaluate the differences in absorbed dose determination due to differences in 60Co-based ionization chamber calibration factors. MATERIALS AND METHODS: Eleven institutions participated in the intercomparison. Measurements were performed in a polystyrene phantom at a depth of 10.27 cm water equivalent thickness in a 6-cm modulated proton beam with an accelerator energy of 155 MeV and an incident energy of approximately 135 MeV. Most participants used ionization chambers calibrated in terms of exposure or air kerma. Four ionization chambers had 60Co-based calibration in terms of absorbed dose-to-water. Two chambers were calibrated in a 60Co beam at the NIST both in terms of air kerma and absorbed dose-to-water to provide a comparison of ionization chambers with different calibrations. RESULTS: The intercomparison showed that use of the ICRU report 59 protocol would result in absorbed doses being delivered to patients at their participating institutions to within +/-0.9% (one standard deviation). The maximum difference between doses determined by the participants was found to be 2.9%. Differences between proton doses derived from the measurements with ionization chambers with N(K)-, or N(W) - calibration type depended on chamber type. CONCLUSIONS: Using ionization chambers with 60Co calibration factors traceable to standard laboratories and the ICRU report 59 protocol, a distribution of stated proton absorbed dose is achieved with a difference less than 3%. The ICRU protocol should be adopted for clinical proton beam calibration. A comparison of proton doses derived from measurements with different chambers indicates that the difference in results cannot be explained only by differences in 60Co calibration factors.

Algorithms↗

Application of hierarchical thermodynamic interactions to the protonation equilibria of organic polyprotic acids.

A general method for formulating complex thermodynamic systems in terms of hierarchical interactions has been developed, and has been applied in a previous analyses to the theoretical analysis of cooperativity in a dimeric protein, to the statistical analysis of hemoglobin oxygen binding data, and to the protonation equilibria of inorganic polyprotic acids. Organic polyprotic acids have served as a demonstration system for the development of concepts and methods for treating complex biochemical equilibria. Glutamic acid is the classic test case for understanding proton-proton interactions in organic polyprotic acids, and this system is analyzed using the concept of hierarchical interactions. Second order interactions were apparent between all three possible proton interactions, as has been established previously. The third order interaction between the three protons was found to be insignificant, indicating that protonation of one site on glutamate has no effect on the interaction between the other two protonation sites. This further reinforces the premise that higher order terms, representing more complex interactions, are less likely to be significant than lower order terms. To allow correlation of the interaction values from glutamate with other organic acids, pairwise interaction values between protonation events were then calculated from known pKd values for a number of diprotic acids and bases. For simple straight chain acids and bases a linear log-log relationship was apparent between the number of intervening atoms between the protons and the pK(d,hh) (pKd of interaction). This relationship extended from three atoms (carbonate) up to 11 atoms (azelaic acid) and applied to both dicarboxylic acids and diamine bases. The pairwise interactions in glutamate also followed this simple relationship.

Acids↗