Modeling of heat and mass transfer for solid state fermentation process in tray bioreactor

A mathematical model is developed to simulate oxygen consumption, heat generation and cell growth in solid state fermentation (SSF). The fungal growth on the solid substrate particles results in the increase of the cell film thickness around the particles. The model incorporates this increase in the biofilm size which leads to decrease in the porosity of the substrate bed and diffusivity of oxygen in the bed. The model also takes into account the effect of steric hindrance limitations in SSF. The growth of cells around single particle and resulting expansion of biofilm around the particle is analyzed for simplified zero and first order oxygen consumption kinetics. Under conditions of zero order kinetics, the model predicts upper limit on cell density. The model simulations for packed bed of solid particles in tray bioreactor show distinct limitations on growth due to simultaneous heat and mass transport phenomena accompanying solid state fermentation process. The extent of limitation due to heat and/or mass transport phenomena is analyzed during different stages of fermentation. It is expected that the model will lead to better understanding of the transport processes in SSF, and therefore, will assist in optimal design of bioreactors for SSF.     

The cooperative binding of large ligands to a one-dimensional lattice: the steric hindrance effect

The cooperative binding of monomeric ligands to a long lattice of a linear polymer with complete or partial steric hindrance is treated using a matrix method. Results and typical calculations of the model are represented. Non-saturated cooperative binding as well as two-step (biphasic) binding isotherms can be interpreted by the steric hindrance model. This is applicable to the analysis of the binding of surfactants to polymer. The usefulness and the limitation also are discussed.     

Structural analysis of the inhibition of thermolysin by an active-site-directed irreversible inhibitor

The mode of binding of the irreversible thermolysin inhibitor ClCH2CO-DL-(N-OH)Leu-OCH3 [Rasnick, D., & Powers, J.C. (1978) Biochemistry 17, 4363-4369] has been determined by X-ray crystallography at a resolution of 2.3 A and the structure of the covalent complex refined to give a crystallographic residual of 17.0%. This is the first such structural study of an active-site-directed covalent complex of a zinc protease. As anticipated by Rasnick and Powers, the inhibitor alkylates Glu-143 in the thermolysin active site, and the hydroxamic acid moiety coordinates the zinc ion. The formation of the covalent complex is associated with a significant shift in a segment of the polypeptide backbone in the vicinity of the active site. This conformational adjustment appears to be necessary to relieve steric hindrance which would otherwise prevent alkylation of Glu-143. It is suggested that this steric hindrance, which occurs for thermolysin but would not be expected for carboxypeptidase A, accounts for the previously inexplicable difference in reactivity of these two metalloproteases toward N-haloacetyl amino acids. The relevance of this steric hindrance to the mechanism of catalysis is discussed. In agreement with previous results [Kester, W. R., & Matthews, B. W. (1977) Biochemistry 16, 2506-2516], it appears that steric hindrance prevents the direct attack of Glu-143 on the carbonyl carbon of an extended substrate, therefore ruling out the anhydride pathway in thermolysin-catalyzed hydrolysis of polypeptide substrates and their ester analogues.     

Molecular interactions of acetylcholinesterase with senile plaques

Acetylcholinesterase (AChE) present in Alzheimer plaques is resistant to low pH, anti-ChE inhibitors and high substrate concentrations in comparison with the free enzyme. Kinetic and pharmacological studies of AChE-amyloid complexes indicate that steric hindrance by the amyloid over the gorge and the peripheral site of AChE is responsible for these effects.     

Glycerol acyl-transfer kinetics of a circular permutated Candida antarctica lipase B

Triacylglycerols containing a high abundance of unusual fatty acids, such as γ-linolenic acid, or novel arylaliphatic acids, such as ferulic acid, are useful in pharmaceutical and cosmeceutical applications. Candida antarctica lipase B (CALB) is quite often used for non-aqueous synthesis, although the wild-type enzyme can be rather slow with bulky and sterically hindered acyl donor substrates. The catalytic performance of a circularly permutated variant of CALB, cp283, with various acyl donors and glycerol was examined. In comparison to wild-type CALB, butyl oleate and ethyl γ-linolenate glycerolysis rates were 2.2- and 4.0-fold greater, respectively. Cp283 showed substrate inhibition by glycerol, which was not the case with the wild-type version. With either ethyl ferulate or vinyl ferulate acyl donors, cp283 matched the performance of wild-type CALB. Changes in active site accessibility resulting from circular permutation led to increased catalytic rates for bulky fatty acid esters but did not overcome the steric hindrance or energetic limitations experienced by arylaliphatic esters.     

Steric effects on multivalent ligand-receptor binding: exclusion of ligand sites by bound cell surface receptors.

Steric effects can influence the binding of a cell surface receptor to a multivalent ligand. To account for steric effects arising from the size of a receptor and from the spacing of binding sites on a ligand, we extend a standard mathematical model for ligand-receptor interactions by introducing a steric hindrance factor. This factor gives the fraction of unbound ligand sites that are accessible to receptors, and thus available for binding, as a function of ligand site occupancy. We derive expressions for the steric hindrance factor for various cases in which the receptor covers a compact region on the ligand surface and the ligand expresses sites that are distributed regularly or randomly in one or two dimensions. These expressions are relevant for ligands such as linear polymers, proteins, and viruses. We also present numerical algorithms that can be used to calculate steric hindrance factors for other cases. These theoretical results allow us to quantify the effects of steric hindrance on ligand-receptor kinetics and equilibria.     

Substrate gating confers steroid specificity to estrogen sulfotransferase.

Estrogen sulfotransferase (EST) exhibits a high substrate specificity and catalytic efficiency toward estrogens such as estradiol (E2) but insignificant ability to sulfate hydroxysteroids such as dehydroepiandrosterone (DHEA). To provide the structural basis for this estrogen specificity, we mutated amino acid residues that constitute the substrate-binding site of EST. Among these mutants, only Tyr-81 decreased E2 and increased DHEA sulfotransferase activities. Substitution for Tyr-81 by smaller hydrophobic residues increased K(m(E2)) for E2 activity, whereas the k(cat(E2)) remained relatively constant. The Y81L mutant exhibited the same DHEA activity as wild-type hydroxysteroid sulfotransferase, for which K(m(DHEA)) remained relatively constant, and k(cat(DHEA)) was markedly increased. The side chain of Tyr-81 is directed at the A-ring of the E2 molecule in the substrate-binding pocket of EST, constituting a steric gate with Phe-142 sandwiching E2 from the opposite side. The present mutagenesis study indicates that the 3beta-hydroxyl group of the DHEA molecule is excluded from the catalytic site of EST through steric hindrance of Tyr-81 with the C-19 methyl group of DHEA. Thus, this stricture-like gating caused by steric hindrance appears to be a structural principle for conferring estrogen specificity to EST.     

Are the 11-oxo-steroids really so hindered towards organometallic compounds?

Allylation of an 11-oxo-steroid, the protected adrenosterone, was studied to examine more closely the steric hindrance of such a ketosteroid. While the beta face exhibits, as well known, a strong steric hindrance, the alpha side appears to be only relatively hindered. A high diastereoselectivity was observed in the addition of crotyl magnesium bromide.     

Steric repulsion between phosphatidylcholine bilayers

The change in pressure needed to bring egg phosphatidylcholine bilayers into contact from their equilibrium separation in excess water has been determined as a function of both distance between the bilayers and water content. A distinct upward break in the pressure-distance relation appears at an interbilayer separation of about 5 A, whereas no such deviation is present in the pressure-water content relation. Thus, this break is not a property of the dehydration process per se, but instead is attributed to steric repulsion between the mobile lipid head groups that extend 2-3 A into the fluid space between bilayers. That is, electron density profiles of these bilayers indicate that the observed break in the pressure-spacing relation occurs at a bilayer separation where extended head groups from apposing bilayers come into steric hindrance. The pressure-spacing data are used to separate steric pressure from the repulsive hydration pressure, as well as to quantitate the range and magnitude of the steric interaction. An appreciable fraction of the measured steric energy can be ascribed to a decrease in configurational entropy due to restricted head-group motion as adjacent bilayers come together.     

Steric effects in antibody reactions with polyvalent antigen

Antigen valency has been defined (Singer, 1965) as the maximum number of epitopes per antigen which can be simultaneously occupied by antibody. If the epitopes are closely spaced, steric hindrance prevents the simultaneous occupancy of all epitopes. Current methods of estimating both the antigen valency and the association constant (Ka) from equilibrium binding data do not allow for the effects of steric hindrance. We have developed a theory which accounts rigorously for steric hindrance when monovalent ligands of quite general shape (antibodies) react reversibly with multivalent acceptor molecules (antigens). The surfaces of the acceptors are modelled by completely general two-dimensional lattices. Using this theory we demonstrate that curvature of Scatchard plots can arise from steric effects alone in the absence of other known causes such as cross-linking, cooperativity and heterogeneous epitope affinities. Our results generalize the conclusions of McGhee & von Hippel (1974) who dealt with one-dimension acceptor molecules such as DNA. We discuss inaccuracies in the estimation of both Ka and antigen valency using the traditional approach of fitting straight lines to Scatchard plots.     

Interaction of soluble pig heart glutamate-aspartate transaminase with various beta,gamma-unsaturated amino acids

beta-Ethylidene-DL-aspartate (beta EA) and beta-methylene-DL-glutamate (beta MG) were synthesized and tested as potential suicide inhibitors of soluble pig heart glutamate-aspartate transaminase (sGAT). beta MG was found to be a) a substrate with a very low turnover number relative to glutamate and b) a competitive inhibitor with respect to aspartate (albeit with a large binding constant). At high concentrations beta MG inactivated the enzyme but only very slowly. beta EA was also found to be a substrate with a very low turnover number; it did not inactivate the enzyme (1 hr, 25 degrees C) even at a high concentration. However, beta EA was found to bind to the enzyme with an affinity comparable to that of aspartate and glutamate. beta-Methylene-DL-aspartate (beta MA) has been shown to rapidly inactivate glutamate-aspartate transaminase. Therefore, it appears that glutamate-aspartate transaminase can bind analogues of aspartate with alkene groups in the beta position. The conjugated carbonyl groups of beta MA and beta EA will enhance Michael addition in comparison with that expected for vinylglycine. On the other hand, the presence of the methyl groups should reduce the electrophilicity of the double bond of beta EA compared to beta MA. This deactivation and/or steric hindrance to Michael attack may account for the inability of beta EA to inactivate sGAT. Therefore, it may be possible to design selective suicide inhibitors of glutamate-aspartate++ transaminase with the following structure: HO2CC(= CHX)CH(CO2H)NH2, where X is an electron-withdrawing group. Ideally, X would increase the reactivity of the double bond while affording a minimum of steric hindrance to susceptible enzyme-bound bases.     

Substrate recognition and activation mechanism of D-amino acid oxidase: a study using substrate analogs

We investigated the mechanism of recognition and activation of substrate by D-amino acid oxidase (DAO) by thermodynamical and spectrophotometric methods using zwitterionic ligands [N-methylisonicotinate (NMIN), trigonelline, and homarine] and monoanionic ligands as model compounds of the substrate and the product. In terms of the charge within the substrate D-amino acid, monoanionic (e.g., benzoate), zwitterionic (e.g., NMIN), and dianionic (e.g., terephthalate) ligands are thought to be good models for neutral, basic, and acidic amino acids, respectively, because when a substrate binds to DAO, as previously reported, the a-ammonium group (-NH(3)(+)) probably loses a proton to become neutral (-NH(2)) before the oxidation. Zwitterionic ligands can also be good model compounds of product in the purple complex (the complex of reduced DAO with the product imino acid), because the imino nitrogen of the imino acid is in a protonated cationic form. We also discuss electrostatic interaction, steric effect, and charge-transfer interaction as factors which affect the affinity of substrate/ligand for DAO. Monoanionic ligands have high affinity for neutral forms of oxidized and semiquinoid DAO, while zwitterionic ligands have high affinity for anionic forms of oxidized, semiquinoid, and reduced DAO; this difference was explained by the electrostatic interaction in the active site. The low affinity of homarine (N-methylpicolinate) for oxidized DAO, as in the case of o-methylbenzoate, is due to steric hindrance: one of the ortho carbons of benzoate is near the phenol carbons of Tyr228 and the other ortho carbon is near the carbonyl oxygen of Gly313. The correlation of the affinity of meta- and para-substituted benzoates for oxidized DAO with their Hammet's s values are explained by the HOMO-LUMO interaction between the phenol group of Tyr224 and the benzene ring of benzoate derivative. The pK(a) of neutral flavin [N(3)-H of oxidized flavin, N(5)-H of semiquinoid flavin, and N(1)-H of reduced flavin] decreases by its binding to the apoenzyme. The magnitude of the decrement is oxidized flavin < semiquinoid flavin < reduced flavin. The largest factor in the substantially low pK(a) of reduced flavin in DAO is probably the steric hindrance between the hydrogen atom of H-N(1)(flavin) and the hydrogen atom of H-N of Gly315, which becomes significant when a hydrogen is bound to N(1) of flavin.     

Detection of Plasma Protease Activity Using Microsphere-Cytometry Assays with E. coli Derived Substrates: VWF Proteolysis by ADAMTS13

Protease levels in human blood are often prognostic indicators of inflammatory, thrombotic or oncogenic disorders. The measurement of such enzyme activities in substrate-based assays is complicated due to the low prevalence of these enzymes and steric hindrance of the substrates by the more abundant blood proteins. To address these limitations, we developed a molecular construct that is suitable for microsphere-cytometer based assays in the milieu of human blood plasma. In this proof of principle study, we demonstrate the utility of this substrate to measure metalloprotease ADAMTS13 activity. The substrate, expressed in E. coli as a fusion protein, contains the partial A2-domain of von Willebrand factor (VWF amino acids 1594–1670) that is mutated to include a single primary amine at the N-terminus and free cysteines at the C-terminus. N-terminus fluorescence conjugation was possible using NHS (N-hydroxysuccinimide) chemistry. Maleimide-PEG(Polyethylene glycol)_n-biotin coupling at the C-terminus allowed biotinylation with variable PEG spacer lengths. Once bound to streptavidin-bearing microspheres, the substrate fluorescence signal decreased in proportion with ADAMTS13 concentration. Whereas recombinant ADAMTS13 activity could be quantified using substrates with all PEG repeat-lengths, only the construct with the longer 77 PEG-unit could quantify proteolysis in blood plasma. Using this longer substrate, plasma ADAMTS13 down to 5% of normal levels could be detected within 30 min. Such measurements could also be readily performed under conditions resembling hyperbilirubinemia. Enzyme catalytic activity was tuned by varying buffer calcium, with lower divalent ion concentrations enhancing cleavage. Overall, the study highlights the substrate design features important for the creation of efficient proteolysis assays in the setting of human plasma. In particular, it emphasizes the need to introduce PEG spacers in plasma-based experiments, a design attribute commonly ignored in immobilized peptide-substrate assays.     

The role of geometric complementarity in secondary structure packing: a systematic docking study

A strong similarity between the major aspects of protein folding and protein recognition is one of the emerging fundamental principles in protein science. A crucial importance of steric complementarity in protein recognition is a well-established fact. The goal of this study was to assess the importance of the steric complementarity in protein folding, namely, in the packing of the secondary structure elements. Although the tight packing of protein structures, in general, is a well-known fact, a systematic study of the role of geometric complementarity in the packing of secondary structure elements has been lacking. To assess the role of the steric complementarity, we used a docking procedure to recreate the crystallographically determined packing of secondary structure elements in known protein structures by using the geometric match only. The docking results revealed a significant percentage of correctly predicted packing configurations. Different types of pairs of secondary structure elements showed different degrees of steric complementarity (from high to low: beta-beta, loop-loop, alpha-alpha, and alpha-beta). Interestingly, the relative contribution of the steric match in different types of pairs was correlated with the number of such pairs in known protein structures. This effect may indicate an evolutionary pressure to select tightly packed elements of secondary structure to maximize the packing of the entire structure. The overall conclusion is that the steric match plays an essential role in the packing of secondary structure elements. The results are important for better understanding of principles of protein structure and may facilitate development of better methods for protein structure prediction.     

The effect of substitution of Phe181 and Phe182 with Ala on activity,substrate specificity and stabilization of substrate at the active site of Bacillus thermocatenulatus lipase

Steric hindrance leads to limitation in the access of substrate into the enzyme active site. In order to decrease steric hindrance, two conserved residues, Phe¹⁸¹ and Phe¹⁸², in the lid domain of Bacillus thermocatenulatus lipase were substituted with alanine by using site-directed mutagenesis. As a result, three mutant lipases were produced. Circular dichroism (CD) spectroscopy showed that the secondary structure of all lipases is similar to one another. F181A mutation increased the distance between phe¹⁸¹ and catalytic ser¹¹⁴, which is buried in the active site by 3.24 Å. It can be suggested that such an increase in distance may lead to a decrease in steric hindrance. F181A mutation increased overall lipase activity by up to 2.6-fold (4670 U mg⁻¹) toward C8 substrate. It also resulted in optimal lipase activity at 65 °C rather than 55 °C. F182A mutation increased the distance between phe¹⁸² and catalytic ser¹¹⁴ by 1.54 Å but failed to induce any significant effect on lipase activity. However, F181A–F182A mutation significantly decreased the activity due to decreased van der Waals interactions between the phenyl group of phenylalanines and the acyl chain of triacylglycerol. These results indicate that presence of one of the two residues, Phe¹⁸¹ or Phe¹⁸², is important for stabilizing triacylglycerols in active site.     

Factors, determining the effectiveness of tryptophanase interaction with amino acids

Inhibition of tryptophanase-catalyzed decomposition of S-(o-nitrophenyl)-L-cysteine by a variety of amino acids has been investigated. For amino acids similar to the natural substrate and for those having minimal steric requirements for the side chain, the linear correlation exists between-RTlnKi and side chain hydrophobicity. L-ornithine and L-arginine are anomalously potent inhibitors taking into account low hydrophobicity of their side chains. This can be explained by an interaction between a positively charged group of the side chain of L-arginine or L-ornithine and a nucleophilic group of the active site. The comparison of affinity of tryptophanase for L-phenylalanine and L-homophenylalanine indicates that there is a special locus in the active site where aromatic groups are bound and oriented approximately parallel to the cofactor plane experiencing no steric hindrance. For a large number of amino acids the rates of the enzymic alpha-proton exchange in 2H2O are comparable with the rate of the reaction with L-tryptophan. Very low rate of alpha-proton exchange observed with L-alanine is an exception.     

Antibody binding in proximity to the receptor/glycoprotein complex leads to a basal level of virus neutralization

Hypothetically, antibodies may neutralize enveloped viruses by diverse mechanisms, such as disruption of receptor binding, interference with conformational changes required for virus entry, steric hindrance, or virus aggregation. Here, we demonstrate that retroviral infection mediated by the avian sarcoma-leukosis virus (ASLV-A) envelope glycoproteins can be neutralized by an antibody directed against a functionally unimportant component of a chimeric receptor protein. Thus, the binding of an antibody in proximity to the retroviral envelope glycoprotein-receptor complex, without binding to the entry machinery itself, results in neutralization. This finding provides additional support for the hypothesis that steric hindrance is sufficient for antibody-mediated neutralization of retroviruses.     

A method for fast safety screening of explosives in terms of crystal packing and molecular stability

Safety prediction is crucial to the molecular design or the material design of explosives, and the predictions based on any single factor alone will cause much inaccuracy, leading to a desire for a method on multi-bases. The presented proposes an improved method for fast screening explosive safety by combining a crystal packing factor and a molecular one, that is, steric hindrance against shear slide in crystal and molecular stability, denoted by intermolecular friction symbol (IFS) and bond dissociation energy (BDE) of trigger linkage respectively. Employing this BDE-IFS combined method, we understand the impact sensitivities of 24 existing explosives, and predict those of two energetic-energetic cocrystals of the observed CL-20/BTF and the supposed HMX/TATB. As a result, a better understanding is implemented by the combined method relative to molecular stability alone, verifying its improvement of more accurate predictions and the feasibility of IFS to graphically reflect molecular stacking in crystals. Also, this work verifies that the explosive safety is strongly related with its crystal stacking, which determines steric hindrance and influences shear slide.     

Toward an HDAC6 inhibitor: synthesis and conformational analysis of cyclic hexapeptide hydroxamic acid designed from alpha-tubulin sequence

A cyclic hexapeptide hydroxamic acid inhibitor for HDAC6 has been designed and synthesized on the basis of the facts that alpha-tubulin is the substrate of HDAC6 and of the excellent inhibitory activity of cyclic tetrapeptide hydroxamic acids (CHAPs) for HDACs. Unexpectedly, cyclic hexapeptide hydroxamic acid showed very low HDAC inhibitory activity. To explain the low activity, we have carried out conformation analysis and compared it to the crystal structure of alpha-tubulin. The conformation around the acetylated lysine of the cyclic hexapeptide substrate or the aminosuberate hydroxamic acid [Asu(NHOH)] of cyclic hexapeptide inhibitor is different from that around alpha-tubulin's lysine-40. The difference in the conformation seems to cause some steric hindrance at the capping site resulting in poor binding capacity.     

Residue 259 is a key determinant of substrate specificity of protein-tyrosine phosphatases 1B and alpha

The aim of this study was to define the structural elements that determine the differences in substrate recognition capacity of two protein-tyrosine phosphatases (PTPs), PTP1B and PTPalpha, both suggested to be negative regulators of insulin signaling. Since the Ac-DADE(pY)L-NH(2) peptide is well recognized by PTP1B, but less efficiently by PTPalpha, it was chosen as a tool for these analyses. Calpha regiovariation analyses and primary sequence alignments indicate that residues 47, 48, 258, and 259 (PTP1B numbering) define a selectivity-determining region. By analyzing a set of DADE(pY)L analogs with a series of PTP mutants in which these four residues were exchanged between PTP1B and PTPalpha, either in combination or alone, we here demonstrate that the key selectivity-determining residue is 259. In PTPalpha, this residue is a glutamine causing steric hindrance and in PTP1B a glycine allowing broad substrate recognition. Significantly, replacing Gln(259) with a glycine almost turns PTPalpha into a PTP1B-like enzyme. By using a novel set of PTP inhibitors and x-ray crystallography, we further provide evidence that Gln(259) in PTPalpha plays a dual role leading to restricted substrate recognition (directly via steric hindrance) and reduced catalytic activity (indirectly via Gln(262)). Both effects may indicate that PTPalpha regulates highly selective signal transduction processes.