Comparative traits of Lactobacillus brevis, Lact. fructivorans and Leuconostoc oenos immobilized cells for the control of malo-lactic fermentation in wine

Decarboxylation of L-malic to L-lactic acid by heterolactic bacteria and formation of secondary products in table wine were studied using immobilized cells of Lactobacillus brevis, Lact. fructivorans and two strains of Leuconostoc oenos in a continuous flow bioreactor. The conversion ratios were 51.2–53.9%, while the decreases in malic and titratable acidity were equivalent to 62.1–74.7% and 16.4–27.3%, respectively. Upon completion of malo-lactic fermentation, pH increased from 3.15 to 3.28–3.35. The conversion ratio and bioreactor efficiency differed according to the strain tested. Gel beads, prepared with cells immobilized in 2% K-carrageenan in the presence of 5% bentonite silica, contained up to 7–8 × 10¹⁰ cfu/g; the concentration of viable cells was relatively stable over 24–48 h bioreactor operation when Lact. brevis was used and decreased in all other cases. The formation of secondary products affecting wine sensory properties, particularly volatile acids and aromatic compounds, was strain-dependent.     

Factors affecting the induction of malolactic fermentation in red wines with Leuconostoc oenos

Malolactic fermentation was induced in red wines by inoculation with several strains of Leuconostoc oenos . The progress of Malolactic Fermentation was monitored by following the kinetics of bacterial growth and degradation of malic acid. These kinetics varied significantly depending on the strain of Leuc. oenos inoculated, the strain of Saccharomyces cerevisiae used to conduct the alcoholic fermentation, and the wine properties of pH and concentrations of ethanol and sulphur dioxide. Rapid, predictable malolactic fermentation was achieved by inoculating a high density (> 10⁶ cfu/ml) of Leuc. oenos , whereby malic acid degradation was not connected to the growth of the bacterial cells. Wines after malolactic fermentation were not bacteriologically stable and supported the growth of Leuc. oenos inoculated into the wines.     

Production and storage of Rhizobium leguminosarum cell concentrates for use as inoculants

Recovery of Rhizobium leguminosarum cells by centrifugation after growth in an industrial fermenter was 100-fold higher when cells were grown on yeast extract (5 g/1) as sole source of carbon and nitrogen when compared with the yields recovered when cells were grown in standard mannitol-yeast extract medium. Methods of storing concentrated suspensions of R. leguminosarum were investigated. Freeze-drying caused a marked decrease in viable cell numbers. Viable cell numbers of bacterial concentrates stored in peat decreased steadily from 10₁₁-10₁₂ cfu/g to 10₉ cfu/g or less during 26 weeks storage at room temperature or at 4°C. Cell concentrates stored in 40% glycerol at — 20°C maintained viable numbers higher than 10₁₁ cfu/ml during a 76 week storage period.     

The metabolism of sugar and malic acid by Leuconostoc oenos: effect of malic acid, pH and aeration conditions

The co-metabolism of sugars by Leuconostoc oenos was studied under different environmental conditions. Under aerobic conditions, growth and sugar metabolism were poorer than under CO₂ or N₂ atmosphere and acetic acid accumulated to a larger extent. Glycerol was found in the aerobic cultures while erythritol was detected under N₂ or CO₂. When medium conditions make growth difficult (low pH, aerobic conditions, low nutrients), sugars were only slightly metabolized and growth was very slow while malic acid was rapidly and completely degraded, leading to an increase in the y _ATP. Aeration effects on the malic acid degradation rate depended on the nutrients and carbon source in the medium. Malic acid clearly stimulated bacterial growth, allowing an increase in the molar growth yields and ATP production. The results suggest that under adverse conditions cells are not able to grow and malic degradation supplies additional energy production.     

Isoform-Specific Effects of Apolipoproteins E2, E3, and E4 on Cerebral Capillary Sequestration and Blood-Brain Barrier Transport of Circulating Alzheimer's Amyloid β

Abstract: Cerebral capillary sequestration and blood-brain barrier (BBB) permeability to apolipoproteins E2 (apoE2), E3 (apoE3), and E4 (apoE4) and to their complexes with sAβ_1–40, a peptide homologous to the major form of soluble Alzheimer's amyloid β, were studied in perfused guinea pig brain. Cerebrovascular uptake of three apoE isoforms was low, their blood-to-brain transport undetectable, but uptake by the choroid plexus significant. Binding of all three isoforms to sAβ_1–40 in vitro was similar with a K _D between 11.8 and 12.9 n M . Transport into brain parenchyma and sequestration by BBB and choroid plexus were negligible for sAβ_1–40-apoE2 and sAβ_1–40-apoE3, but significant for sAβ_1–40-apoE4. After 10 min, 85% of sAβ_1–40-apoE4 taken up at the BBB remained as intact complex, whereas free sAβ_1–40 was 51% degraded. Circulating apoE isoforms have contrasting effects on cerebral capillary uptake of and BBB permeability of sAβ. ApoE2 and apoE3 completely prevent cerebral capillary sequestration and blood-to-brain transport of sAβ_1–40. Conversely, apoE4, by entering brain microvessels and parenchyma as a stable complex with sAβ, reduces peptide degradation and may predispose to cerebrovascular and possibly enhance parenchymal amyloid formation under pathological conditions.     

Mixed culture of Lactobacillus hilgardii and Leuconostoc oenos isolated from Argentine wine

Growth, sugar and organic acid metabolism of Lactobacillus hilgardii X₁B and Leuconostoc oenos X₂L isolated from Argentinian wine were examined in pure and mixed cultures. In mixed culture Leuc. oenos X₂L did not grow, no viable cells were detected after 24 h, but the consumption of glucose and fructose by Lact. hilgardii was higher. An increase of mannitol and acetic acid production was detected during the early stages of growth. Over 12 h, higher levels of d (-) lactic acid and slightly increased levels of l (+) lactic acid were observed. Citric and malic acid were simultaneously metabolized, but a slight increase in citric acid consumption was observed in mixed culture.     

Evidence for the Existence of Differential O-Glycosylated α5-Subunits of the γ-Aminobutyric AcidA Receptor in the Rat Brain

Abstract: Polyclonal antibodies were raised to synthetic peptides having amino acid sequences corresponding with the N- or C-terminal part of the γ-aminobutyric acid_A (GABA_A) receptor α₅-subunit. These anti-peptide α₅(2–10) or anti-peptide α₅(427–433) antibodies reacted specifically with GABA_A receptors purified from the brains of 5–10-day-old rats in an enzyme-linked immunosorbent assay and were able to dose-dependently immunoprecipitate up to 6.3 or 13.1% of the GABA_A receptors present in the incubation, respectively. In immunoblots, each of these antibodies reacted with the same two protein bands with apparent molecular mass of 53 or 57 kDa. After exhaustive treatment of purified GABA_A receptors with N -Glycanase, each of these antibodies identified two proteins with apparent molecular masses of 46 and 48 kDa. Additional treatment of GABA_A receptors with neuraminidase and O -Glycanase resulted in an apparently single protein with molecular mass of 47 kDa, which again was identified by both the anti-peptide α₅(2–10) and the anti-peptide α₅(427–433) antibody. These results indicate the existence of at least two different α₅-sub-units of the GABA_A receptor that differ in their carbohydrate content. In contrast to other α- or β-subunits of GABA_A receptors so far investigated, at least one of these two α₅-subunits contains O-linked carbohydrates.     

Reduced Development of Grey Mould (Botrytis cinerea) in Bean and Tomato Plants by Calcium Nutrition

Fertilization of bean plants grown in perlite with 1 and 3 mM CaCl₂ or Ca(NO₃)₂ reduced severity of grey mould as compared with control plants or plants fertilized with 5 mM of the compounds. Fertilization with Ca(NO₃)₂ reduced severity leaf grey mould and fruit ghost spots of tomato plants grown in perlite by 70 and 45%, respectively. The rate of decrease varied with the position of the fruits on the plants. Leaves from plants treated with calcium or otherwise [KNO₃, (NH₄)₂SO₄] produced less ethylene than leaves of nontreated plants. Rate of growth of B. cinerea was lower on growth medium prepared from washings from leaves of calcium fertilized plants than from leaves from other treatments. The fertilizer combination Ca(H₂PO₄)₂+ CaSO₄ (1 and 3 g/kg soil) applied once to tomato plants grown in soil reduced severity of leaf grey mould by 80 % (significant at P = 0.05) but 1–3 g CaSO₄/kg soil only tended to reduce disease severity (30–40 %, not significant) as compared with the control. The compounds CaCl₂ and Ca(NO₃)₂ increased significantly ( P = 0.05) the growth of B. cinerea on synthetic medium when applied at rates of 1 0–10.0 mM whereas reduction of growth was observed with 0.1 mM of the compounds and of CaSO₄.     

The content of prostaglandins and their precursors in Mortierella and Cunninghamella species

Five strains of filamentous fungi belonging to the genera Mortierella and Cunninghamella were examined for the content of dihomo-γ-linolenic, arachidonic, eicosapentaenoic acids and prostaglandins (type E₂ and F _2α). Prostaglandins were detected using an ELISA method in mycelia of all tested strains (range 50–4800 ng g⁻¹ of PGE₂ and 6–30 ng g⁻¹ of PG F _2α). Several micro-organisms also produced prostaglandins in the culture medium (2·2–137·6 μg l⁻¹ for PGE₂ and 0·4–7·8 μg l⁻¹ for PG F _2α).     

Mechanism of docosahexaenoic acid-induced inhibition of in vitro Aβ1–42 fibrillation and Aβ1–42-induced toxicity in SH-S5Y5 cells

The mechanism of the effect of docosahexaenoic acid (DHA; C22:6, n -3), one of the essential brain nutrients, on in vitro fibrillation of amyloid β (Aβ_1–42), Aβ_1–42-oligomers and its toxicity imparted to SH-S5Y5 cells was studied with the use of thioflavin T fluorospectroscopy, laser confocal microfluorescence, and transmission electron microscopy. The results clearly indicated that DHA inhibited Aβ_1–42-fibrill formation with a concomitant reduction in the levels of soluble Aβ_1–42 oligomers. The polymerization (into fibrils) of preformed oligomers treated with DHA was inhibited, indicating that DHA not only obstructs their formation but also inhibits their transformation into fibrils. Sodium dodecyl sulfate–polyacrylamide gel electrophoresis (12.5%), Tris–Tricine gradient(4–20%) gel electrophoresis and western blot analyses revealed that DHA inhibited at least 2 species of Aβ_1–42 oligomers of 15–20 kDa, indicating that it hinders these on-pathway tri/tetrameric intermediates during fibrillation. DHA also reduced the levels of dityrosine and tyrosine intrinsic fluorescence intensity, indicating DHA interrupts the microenvironment of tyrosine in the Aβ_1–42 backbone. Furthermore, DHA protected the tyrosine from acrylamide collisional quenching, as indicated by decreases in Stern–Volmer constants. 3-[4,5-Dimethylthiazol-2-yl]-2,5-diphenyltetrazolium bromide-reduction efficiency and immunohistochemical examination suggested that DHA inhibits Aβ_1–42-induced toxicity in SH-S5Y5 cells. Taken together, these data suggest that by restraining Aβ_1–42 toxic tri/tetrameric oligomers, DHA may limit amyloidogenic neurodegenerative diseases, Alzheimer's disease.     

Rapid Degeneration of Cultured Human Brain Pericytes by Amyloid β Protein

Abstract: Amyloid β protein (Aβ) deposition in the cerebral arterial and capillary walls is one of the major characteristics of brains from patients with Alzheimer's disease and hereditary cerebral hemorrhage with amyloidosis-Dutch type (HCHWA-D). Vascular Aβ deposition is accompanied by degeneration of smooth muscle cells and pericytes. In this study we found that Aβ_1–40 carrying the "Dutch" mutation (HCHWA-D Aβ_1–40) as well as wild-type Aβ_1–42 induced degeneration of cultured human brain pericytes and human leptomeningeal smooth muscle cells, whereas wild-type Aβ_1–40 and HCHWA-D Aβ_1–42 were inactive. Cultured brain pericytes appeared to be much more vulnerable to Aβ-induced degeneration than leptomeningeal smooth muscle cells, because in brain pericyte cultures cell viability already decreased after 2 days of exposure to HCHWA-D Aβ_1–40, whereas in leptomeningeal smooth muscle cell cultures cell death was prominent only after 4–5 days. Moreover, leptomeningeal smooth muscle cell cultures were better able to recover than brain pericyte cultures after short-term treatment with HCHWA-D Aβ_1–40. Degeneration of either cell type was preceded by an increased production of cellular amyloid precursor protein. Both cell death and amyloid precursor protein production could be inhibited by the amyloid-binding dye Congo red, suggesting that fibril assembly of Aβ is crucial for initiating its destructive effects. These data imply an important role for Aβ in inducing perivascular cell pathology as observed in the cerebral vasculature of patients with Alzheimer's disease or HCHWA-D.     

β-Amyloid Peptides Increase the Binding and Internalization of Apolipoprotein E to Hippocampal Neurons

Abstract: The frequency of the ε4 allele of apolipoprotein E(apoE) is increased in late-onset and sporadic forms of Alzheimer's disease (AD). ApoE also binds to β-amyloid (Aβ) and both proteins are found in AD plaques. To further investigate the potential interaction of apoE and Aβ in the pathogenesis of AD, we have determined the binding, internalization, and degradation of human apoE isoforms in the presence and absence of Aβ peptides to rat primary hippocampal neurons. We demonstrate that the lipophilic Aβ peptides, in particular Aβ_1–42, Aβ_1–40, and Aβ_25–35, increase significantly apoE-liposome binding to hippocampal neurons. For each Aβ peptide, the increase was significantly greater for the apoE4 isoform than for the apoE3 isoform. The most effective of the Aβ peptides to increase apoE binding, Aβ_25–35, was further shown to increase significantly the internalization of both apoE3- and apoE4-liposomes, without affecting apoE degradation. Conversely, Aβ_1–40 uptake by hippocampal neurons was shown to be increased in the presence of apoE-liposomes, more so in the presence of the apoE4 than the apoE3 isoform. These results provide evidence that Aβ peptides interact directly with apoE lipoproteins, which may then be transported together into neuronal cells through apoE receptors.     

Relative positioning of diazepam in the benzodiazepine-binding-pocket of GABAA receptors

GABA_A receptors are the major inhibitory neurotransmitter receptors in the brain. Some of them are targets of benzodiazepines that are widely used in clinical practice for their sedative/hypnotic, anxiolytic, muscle relaxant and anticonvulsant effects. In order to rationally separate these different drug actions, we need to understand the interaction of such compounds with the benzodiazepine-binding pocket. With this aim, we mutated residues located in the benzodiazepine-binding site individually to cysteine. These mutated receptors were combined with benzodiazepine site ligands carrying a cysteine reactive group in a defined position. Proximal apposition of reaction partners will lead to a covalent reaction. We describe here such proximity-accelerated chemical coupling reactions of α₁S205C and α₁T206C with a diazepam derivative modified at the C-3 position with a reactive isothiocyanate group (–NCS). We also provide new data that identify α₁H101C and α₁N102C as exclusive sites of the reaction of a diazepam derivative where the –Cl atom is replaced by a –NCS group. Based on these observations we propose a relative positioning of diazepam within the benzodiazepine-binding site of α₁β₂γ₂ receptors.     

Water and ion fluxes of abscisic acid-treated root systems of pear, Pyrus communis

Water and ion fluxes of intact root systems of Pyrus communis L. cv. Old Home × Farmingdale 97 immersed in a nutrient solution were determined at various pressures and temperatures. Water flux (J_v was normalized on the basis of initial flow rates of a root system after 30 min at 0.50 MPa and 25°C, expressed as the ratio Q_v. Q_v responded linearly to pressures between 0.20 and 0.62 MPa, implying a constant root hydraulic conductivity (L_p) within this range. Similarly Q_v was linearly related to temperatures between 7 and 35°C; however, large, rapid temperature changes resulted in a break of the Arrhenius plot of Q_v versus the reciprocal of temperature, Abscisic acid (ABA) from 2 × 10⁻⁶ to 10⁻⁴ M , applied to intact root systems, increased Q_v within 10–20 min, with the effect leveling off after 1.5 h. At a pressure of 0.50 MPa, ABA at 10_-4 M enhanced Q_v by 28%. The stimulation of Q_v was not due to the ethanol solvent since 0.13 or 1.33% ethanol decreased Q_v-, The osmotic potential of the xylem fluid was determined and was used to calculate total normalized solute flux. The results suggest that ABA-induced or ethano1-induced changes in Q_v were mainly due to changes in L_p and not to changes in ion transport to the xylem.     

Chronic Ethanol Administration Regulates the Expression of GABAA Receptor α1 and α5 Subunits in the Ventral Tegmental Area and Hippocampus

Abstract: Ethanol dependence and tolerance involve perturbation of GABAergic neurotransmission. Previous studies have demonstrated that ethanol treatment regulates the function and expression of GABA_A receptors throughout the CNS. Conceivably, changes in receptor function may be associated with alterations of subunit composition. In the present study, a comprehensive (1–12 weeks) ethanol treatment paradigm was used to evaluate changes in GABA_A receptor subunit expression in several brain regions including the cerebellum, cerebral cortex, ventral tegmental area (VTA) (a region implicated in drug reward/dependence), and the hippocampus (a region involved in memory/cognition). Expression of α₁ and α₅ subunits was regulated by ethanol in a region-specific and time-dependent manner. Following 2–4 weeks of administration, cortical and cerebellar α₁ and α₅ subunit immunoreactivity was reduced. In the VTA, levels of α₁ subunit immunoreactivity were significantly decreased after 12 weeks but not 1–4 weeks of treatment. Hippocampal α₁ subunit immunoreactivity and mRNA content were also significantly reduced after 12 but not after 4 weeks of treatment. In contrast, α₅ mRNA content was increased in this brain region. These data indicate that chronic ethanol administration alters GABA_A receptor subunit expression in the VTA and hippocampus, effects that may play a role in the abuse potential and detrimental cognitive effects of alcohol.     

Effect of chlorination on β-D-galactosidase activity of sewage bacteria and Escherichia coli

The effect of chlorine on β- D- galactosidase activity of sewage bacteria and Escherichia coli was studied. β- D- galactosidase activity of sewage was more resistant to chlorine than faecal coliform cultivability. At low initial dosage (0·05 mg Cl₂ l⁻¹) neither cultivability (colony-forming units (cfu)), nor enzyme activity of E. coli suspensions were severely impaired. When initial chlorine concentration was increased to 0·1 mg Cl₂ l⁻¹, the cfu number decreased whereas enzyme activity remained high, i.e. the enzyme activity calculated cfu⁻¹ increased. At higher chlorine doses both cfu and enzyme activity were reduced, but non-cultivable cells retained assayable activity after chlorination. Mean values of the enzyme activity calculated cfu⁻¹ decreased when the chlorine dosage was increased from 0·1 to 0·5 mg Cl₂ l⁻¹, but were not significantly different ( P > 0·05) for dosages of 0·2–0·7 mg Cl₂ l⁻¹. After chlorination, β- D- galactosidase activity of E. coli was less reduced than cfu and direct viable count numbers, but more reduced than 5-cyano-2-3, ditolyl tetrazolium chloride and total cell counts, and the enzyme activity represented an alternative activity parameter of chlorinated samples.     

Survival of Escherichia coli O157 : H7 in yoghurt during preparation and storage at 4°C

Cow's milk was inoculated with ca 10³ and 10⁷ cfu ml⁻¹ Escherichia coli O157 : H7. After fermentation at 42°C for 0–5 h, the yoghurt was stored at 4°C. Two kinds of yoghurt were used : traditional yoghurt (TY), made with Streptococcus thermophilus and Lactobacillus bulgaricus starter cultures, and 'bifido' yoghurt (BY), made with the two starter cultures plus Bifidobacterium bifidum . After 7 d E. coli O157 : H7 decreased from 3·52 to 2·72 log₁₀ cfu ml⁻¹ and from 7·08 to 5·32 log₁₀ cfu ml⁻¹ in TY, and from 3·49 to 2·73 log₁₀ cfu ml⁻¹ and from 7·38 to 5·41 log₁₀ cfu ml⁻¹ in BY. The pH values of yoghurt dropped from 6·6 to 4·5 and 4·4 in TY (for low and high pathogen inocula, respectively), and from 6·6 to 4·6 and 4·5 in BY (for low and high pathogen inocula, respectively).     

Pathologic Amyloid β-Protein Cell Surface Fibril Assembly on Cultured Human Cerebrovascular Smooth Muscle Cells

Abstract: Cerebrovascular amyloid β-protein (Aβ) deposition is a key pathological feature of Alzheimer's disease and hereditary cerebral hemorrhage with amyloidosis-Dutch type (HCHWA-D). Aβ_1–40 containing the E22Q HCHWA-D mutation, but not wild-type Aβ_1–40, potently induces several pathologic responses in cultured human cerebrovascular smooth muscle cells, including cellular degeneration and a robust increase in the levels of cellular Aβ precursor. In the present study, we show by several quantitative criteria, including thioflavin T fluorescence binding, circular dichroism spectroscopy, and transmission electron microscopic analysis, that at a concentration of 25 µ M neither HCHWA-D Aβ_1–40 nor wild-type Aβ_1–40 appreciably assembles into β-pleated sheet-containing fibrils in solution over a 6-day incubation period. In contrast, at the same concentrations, HCHWA-D Aβ_1–40, but not wild-type Aβ_1–40, selectively binds and assembles into abundant fibrils on the surfaces of cultured human cerebrovascular smooth muscle cells. The simultaneous addition of an equimolar concentration of the dye Congo red prevents the cell surface fibril assembly of HCHWA-D Aβ_1–40. Moreover, Congo red effectively blocks the key pathologic responses induced by HCHWA-D Aβ_1–40 in these cells. The present findings suggest that the surface of human cerebrovascular smooth muscle cells may selectively orchestrate the assembly of pathogenic Aβ fibrils and that cell surface Aβ fibril formation plays an important role in causing the pathologic responses in these cells.     

31P NMR Relaxation Does Not Affect the Quantitation of Changes in Phosphocreatine, Inorganic Phosphate, and ATP Measured In Vivo During Complete Ischemia in Swine Brain

Abstract: Ischemia-induced changes in ³¹P NMR relaxation were examined in 16 piglets. NMR spectra were acquired under control conditions and during complete cerebral ischemia induced via cardiac arrest. Changes in T ₁ were assessed directly in six animals during control conditions and after 30–45 min of complete ischemia when changes in brain P₁ levels had reached a plateau. The T ₁ for P₁ did not change, i.e., 2.3 ± 0.5 s during control conditions versus 2.4 ± 1.0 s during ischemia. To evaluate phosphocreatine and ATP, two types of spectra, with a long (25-s) or short (1-s) interpulse delay time, were collected during the first 10 min of ischemia (n = 10). Both types of spectra showed the same time course of changes in phosphocreatine and ATP levels, implying that the T ₁ relaxation times do not change during ischemia. There were no changes in the linewidths of phosphocreatine, ATP, or P₁ during ischemia, implying that the T *₂ values remain constant. Our results suggest that the ³¹P T ₁ and T *₂ for phosphocreatine, P_i, and ATP do not change during ischemia, and therefore changes in ³¹P NMR peak intensity accurately reflect changes in metabolite concentrations.     

Effects of development, temperature and salinity on metabolism in eggs and yolk-sac larvae of milkfish, Chanos chanos (Forsskål)

Oxygen uptake rates and yolk-inclusive dry weiGhts were measured during the egg and yolk-sac larval stages of milkfish, Chanos chanos (Forsskal). Oxygen uptake by eggs and yolk-sac larvae was measured to assess the effects of four salinities (20,25,30,35 ppt) at 28°C. The effects of three temperatures (23,28,33°C) on oxygen uptake by yolk-sac larvae were determined at a salinity of 35 ppt. Dry weights were measured throughout embryonic development at 28°C and the yolk-sac stage at 23.28 and 33°C.
Oxygen uptake rates of eggs increased more than fivefold during embryogenesis (0.07±0.03 to 0.40 ± 03 μl O₂ egg ⁻¹ h ⁻¹;blastula to prehatch stage). Larval oxygen uptake did not change with age but was affected by rearing temperature (0.33 ± 0.08, 0.44 ± 0.07 and 0.63 ± 0.13 μl O₂ larva ⁻¹ h⁻¹ at 23, 28 and 33°C, respectively; Q₁₀= 1.93). Acute temperature changes from 28 to 33°C caused significant increases in oxygen uptake by embryos (Q ₁₀= 1.69–3.58) and yolk-sac larvae (Q ₁₀=2.55). Salinity did not affect metabolic rates.
Dry weight of eggs incubated at 28°C decreased 13% from fertilization to hatching. Incubation temperatures from 23–33°C did not affect dry weights at hatching. Rearing temperatures significantly affected the rate of larval yolk absorption (Q ₁₀= 2.25).