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Single-center experience with isolated male epispadias: Outcomes of Thiersch-Duplay and modified Cantwell-Ransley repairs by anatomical subtype.

BACKGROUND: Isolated male epispadias (IME) is a rare congenital malformation. Surgical repair aims to improve urinary function, correct penile curvature, reconstruct the urethra and glans, and preserve future sexual function. Because available series are small, the influence of anatomical subtype and operative technique on outcome remains incompletely defined. OBJECTIVE: To report single-center outcomes of Thiersch-Duplay and modified Cantwell-Ransley repairs for IME, with attention to anatomical subtype, complications, and age-appropriate continence outcomes. METHODS: We retrospectively reviewed boys with IME who underwent primary urethral reconstruction in my hospital, Capital Medical University, from May 2005 to June 2024. Data were locked on 30 June 2024. Primary outcomes were postoperative complications graded by the Clavien-Dindo system and urinary continence at last follow-up in patients aged 5 years or older. Secondary outcomes included improvement of preoperative incontinence, ICIQ score, subsequent bladder neck reconstruction, penile appearance/residual curvature when documented, and patient/parent-reported sexual function. RESULTS: Sixty-seven patients were included: 35 underwent modified Cantwell-Ransley repair and 32 underwent Thiersch-Duplay repair. The cohort included 26 glanular (38.8%), 23 penile (34.3%), and 18 penopubic (26.9%) cases. Median age at surgery was 28 months in both groups. Median age at last follow-up was 92.8 months (IQR 63.9-108.4) after modified Cantwell-Ransley repair and 137.9 months (IQR 77.9-172.6) after Thiersch-Duplay repair (P = 0.011). Procedure distribution differed by meatal location (P = 0.036), although penopubic cases were treated with both procedures. Total complications occurred in 5/35 and 5/32 patients, respectively. Formal continence analysis included 26 modified Cantwell-Ransley patients and 27 Thiersch-Duplay patients aged 5 years or older. Postoperative urinary incontinence persisted in 14/26 (53.8%) and 12/27 (44.4%), respectively. Among age-eligible patients with preoperative incontinence, any improvement was documented in 13/20 (65.0%) and 14/17 (82.4%), and complete remission occurred in 6/20 (30.0%) and 5/17 (29.4%), respectively. Three patients, all with penopubic epispadias treated with Thiersch-Duplay repair, subsequently underwent bladder neck reconstruction for persistent incontinence. Erectile function data were available in 37/67 patients (55.2%). CONCLUSIONS: In this large single-center retrospective cohort, Thiersch-Duplay and modified Cantwell-Ransley repairs had comparable overall complication rates. Continence and reoperation patterns were strongly influenced by anatomical subtype, with penopubic epispadias representing the highest-risk group. These findings support individualized, anatomy-conscious operative planning and prospective evaluation of standardized selection criteria, rather than a single prescriptive algorithm. CLINICAL/TRANSLATIONAL IMPLICATION: This series supports standardized reporting of anatomical subtype, age-appropriate continence outcomes, and graded complications when counseling families and comparing outcomes across centers. LEVEL OF EVIDENCE: Level III.

Humans

Conformation of dinucleoside monophosphates modified with benzo[a]pyrene-7,8-dihydrodiol 9,10-oxide as measured by circular dichroism.

The conformational properties of GpU modified with the reactive derivative of benzo[a]pyrene, (+/-)-7beta,8alpha-dihydroxy-9alpha,10alpha-epoxy-7,8,9,10-tetrahydrobenzo[a]pyrene, has been investigated utilizing circular dichroism spectroscopy. Binding of this carcinogen to the N2 of G residues in GpU resulted in the formation of four compounds (I to IV) representing two pairs of diastereoisomers. The molar ellipticity values of the modified dimers were approximately twofold higher than those of the modified guanosine monomers. These values were decreased appreciably when the spectra of the dimers were obtained at 80 degrees C or in methanol rather than at 25 degrees C in water, suggesting that under the latter conditions there is a stacking interaction between the carcinogen and the neighboring uridine residue. Based on these results, a conformation is proposed for modified GpU. It includes insertion of the benzo[a]pyrene moiety, by rotation of the modified guanine residue about its glycoside bond, coplanar to the neighboring uridine and perpendicular to the phosphodiester backbone.

Benzopyrenes

Synthesis of modified nucleoside 3',5'-bisphosphates and their incorporation into oligoribonucleotides with T4 RNA ligase.

A simple procedure is described to prepare nucleoside 3'(2'),5'-bisphosphates from the corresponding nucleosides with the use of pyrophosphoryl chloride. This method is rapid, gives nearly quantitative yields and, most importantly, can be used for a variety of nucleosides with base and sugar modifications. Since 3',5'-bisphosphates are donors in the T4 RNA ligase reaction, a single residue can be enzymatically attached to the 3' end of oligoribonucleotides. By these procedures, five different ring-modified nucleosides and one sugar-modified nucleoside were incorporated onto the 3' end of (Ap)3C. In two cases, an additional step of synthesis with RNA ligase resulted in the modified nucleotide being located in an internal position in the oligonucleotide. Thus, a general method for the synthesis of oligoribonucleotides containing modified nucleosides is outlined. Since many of the modified nucleosides are fluorescent, oligomers containing them should be useful in a variety of physical and biochemical studies.

Coliphages

Properties of D-amino acid oxidase covalently modified upon its oxidation of D-propargylglycine.

Upon oxidation of D-propargylglycine by D-amino acid oxidase, the enzyme is converted by covalent alkylation to catalytic species with different properties from those of native enzyme. At least five distinct modified enzyme species are present in the preparation, as determined by gel electro-focusing. Individual characterization of the components has not yet been attempted. The combined kinetic and spectral properties of the preparation have been studied. The modified enzymes have a marked preference for hydrophobic amino acids: the rates of oxidation decrease in the series D-phenylalanine, D-methionine, D-norleucine, D-norvaline, D-alpha-aminobutyrate, D-alanine. In addition, the observed Kms of the amino acids are increased, especially those of the smaller substrates (D-alanine and D-alpha-aminobutyrate). A primary kinetic isotope effect is observed upon oxidation of amino acids by the modified enzymes, evidence that this catalysis exhibits a different rate-determining step from catalysis by native enzyme. The modified apoenzyme exhibits intense absorbance at 318--320 nm, not present in native enzyme. This chromophore can be partially (75%) removed by treatment of the modified enzyme with hydrazine. However, the activity of native enzyme is not substantially restored by this process, suggesting the existence of superficial alkylations in addition to the modification responsible for the observed changes in kinetic parameters.

Alkynes

The public health significance of fat-modified ruminant foods.

The apparent consumption of dietary fat in Australia is 115 g/person/day, of which two-thirds is contributed by ruminant-derived foods. Consequently, the polyunsaturated fatty acid/saturated fatty acid ratio of the Australian diet is low, approximately 0.2. Recently a process has been developed which allows modification of the fatty acid composition of ruminant body fat, and a range of foodstuffs (fat-modified foods) which have a substantially higher polyunsaturated fatty acid/saturated fatty acid ratio than their conventional counterparts has been produced and marketed. In the clinical trials in which there was complete substitution of fat-modified ruminant foods for conventional ruminant products the fall in serum cholesterol was approximately 10%. In the trial in which there was only partial substitution the fall in serum cholesterol was insignificant. Using the equation developed by Keys, the predicted fall in serum cholesterol resulting from varying degrees of substitution of fat-modified ruminant meats for their conventional counterparts in the Australian diet is shown to be negligible. The fat-modified products were marketed at approximately twice the price of their conventional counterparts and it is claimed that this will limit the degree of substitution. It is concluded that the public health significance of fat-modified foods is limited.

Animal Feed

A comparison of modified radical mastectomy to radical mastectomy in the treatment of operable breast cancer.

This study compares the results of modified radical mastectomy (144 cases) to radical mastectomy (188 cases) in the treatment of operable breast cancer. Two hundred five patients had Stage I breast cancer, 60 had Stage II disease and 67 had Stage III disease (TNM System). There was no statistically significant difference in five year survival when the results of a radical mastectomy were compared to a modified radical mastectomy at any stage of disease. There was no statistically significant difference in the incidence of local recurrence in patients with Stage I and Stage II disease when the results of a radical mastectomy were compared to modified radical mastectomy. Those patients with Stage III disease who were treated by a modified radical mastectomy had a statistically significant higher incidence of local recurrence (chest wall and axilla) in comparison to patients treated by radical mastectomy. We have concluded that a modified radical mastectomy is the treatment of choice in patients with Stage I and Stage II diseases. In patients with Stage III disease, a radical mastectomy provides a better chance of local control of the disease but offers no increased chance of survival.

Breast Neoplasms

Enzymatic properties of native and N-ethylmaleimide-modified cardiac myosin from normal and thyrotoxic rabbits.

Cardiac myosin from thyrotoxic animals (myosin-T) exhibits elevated Ca2+ -ATPase activity which is resistant to further stimulation by sulfhydryl modification. In the present study, we have compared the enzymatic properties of myosin-T with those of myosin from euthyroid rabbits (myosin-N) and the derivatives of myosin-T and myosin-N formed by blocking the most rapidly reacting class of thiols (SH1) with N-ethylmaleimide (NEM). Vmax for Ca2+ -ATPase of myosin-T was about 250% greater than myosin-N and was nearly the same as NEM-modified myosin-N. Values for the apparent Km of myosin-T and NEM-modified myosin-N were 200% greater than the value for unmodified myosin-N. Vmax and Km for K+ (EDTA)-ATPase activity of NEM-modified myosin-T and myosin-N were identical. The Ca2+ saturation, pH, and salt-dependency curves for the ATPase activity of myosin-T were parallel to the curves for myosin-N and differed from those for the NEM-modified myosins. Myosin-T exhibited an increased rate of hydrolysis of ATP, CTP, and UTP in both low (0.05m) and high (0.5m) KCl medium. NEM-modified myosin-N showed increased hydrolysis of ATP and CTP in low KCl medium and increased hydrolysis of ATP, CTP, and UTP in high KCl medium. These results support the hypothesis that the enzymatic behavior of myosin-T may be caused by an alteration in the active site near the SH, thiols. The unique enzymatic properties of myosin-T did not seem to be the result of a major change in structure. The electrophoretic pattern of light chains from myosin-T and myosin-N was the same in polyacrylamide gels containing either 8 M urea at pH 8.6 or sodium dodecyl sulfate. Also, myosin-T had a normal amino acid composition and lacked 3-methyl-histidine and hot acid-stable phosphate.

Adenosine Triphosphatases

Polyunsaturated meat and dairy products in fat-modified food patterns for hyperlipidemia.

Polyunsaturated meat and dairy products were compared with their saturated counterparts to determine their usefulness in a fat-modified diet for hyperlipidemic persons and their spouses. These polyunsaturated animal products were produced by feeding cattle a supplement of oil droplets coated with denatured protein. As a result, the polyunsaturated fatty acid content was 27 to 28 per cent of the meat fat and butterfat; saturated fatty acids (C12:0 to tc16:0) were 18 to 19 per cent. Of the eleven free-living subjects three were normocholesteremic, three had type IIa hyperlipidemia and five had type VI (IIb). In the fourteen-week study, an adjustment period of three weeks was followed by two consecutive experimental periods of four weeks each, then by a three-week follow-up period. During the adjustment period, participants continued to follow their usual eating patterns. During both experimental periods all followed the same prescribed fat modified food pattern using polyunsaturated margarine and oil. Five participants ate polyunsaturated beef and dairy products during the first experimental period and their saturated counterparts in the second; six participants ate saturated products first, then polyunsaturated. During the follow-up period, all participants selected all their own food. Serum cholesterol levels in five participants who had not previously followed a fat-modified diet were reduced by 18 per cent with polyunsaturated animal products and 11 per cent with saturated products. Serum cholesterol in six participants, previously on a fat-modified diet, was not significantly changed with polyunsaturated products. In ten of eleven participants, serum cholesterol levels were an average of 6 per cent lower with polyunsaturated products than with saturated products. It is concluded that polyunsaturated animal products are suitable for use in fat-modified food patterns for reducing hyperlipidemia, with some restrictions in the amount of polyunsaturated animal fat and with the inclusion of polyunsaturated oil and margarine.

Adult

[Chemical modification of lysine epsilon-NH2-groups in horseradish peroxidase. Its effect on enzyme stability. Temperature dependence of thermo-inactivation constants for native and modified peroxidase].

Thermostability of horseradish peroxidase modified by acetic, propionic, butyric, valeric and succinic anhydrides and trinitrobenzolsulfonic acid (TNBS) is studied within the temperature range of 56-80 degrees C. Acylation of 4 amino groups and arylation of 3 amino groups with TNBS are found to stabilize the enzyme, while modification of 6 groups decreases the enzyme stability. Chemical modification of peroxidase does not change its pH-dependence with respect to enzyme thermostability. Thermodynamic activation parameters of irreversible thermoinactivation are determined for native and modified peroxidase. Native peroxidase has deltaH not equal to = 30+/-1 kcal/mole and deltaS not equal to = 14 e. e.; modified by acid anhydrides peroxidase has deltaH not equal to within 64-87 kcal/mole and deltaS not equal to within 110-178 e. e. depending on the nature of a modifying agent. The effect of the structure of a radical introduced into the enzyme molecule, and of a number of modified epsilon-amino groups on thermoinactivation deltaH not equal to and deltaS not equal to values is discussed.

Acylation

Bidirectional Risk Modulator and Modifier Variant of Dilated and Hypertrophic Cardiomyopathy in BAG3.

IMPORTANCE: The genetic factors that modulate the reduced penetrance and variable expressivity of heritable dilated cardiomyopathy (DCM) are largely unknown. BAG3 genetic variants have been implicated in both DCM and hypertrophic cardiomyopathy (HCM), nominating BAG3 as a gene that harbors potential modifier variants in DCM. OBJECTIVE: To interrogate the clinical traits and diseases associated with BAG3 coding variation. DESIGN, SETTING, AND PARTICIPANTS: This was a cross-sectional study in the Penn Medicine BioBank (PMBB) enrolling patients of the University of Pennsylvania Health System's clinical practice sites from 2014 to 2023. Whole-exome sequencing (WES) was linked to electronic health record (EHR) data to associate BAG3 coding variants with EHR phenotypes. This was a health care population-based study including individuals of European and African genetic ancestry in the PMBB with WES linked to EHR phenotypes, with replication studies in BioVU, UK Biobank, MyCode, and DCM Precision Medicine Study. EXPOSURES: Carrier status for BAG3 coding variants. MAIN OUTCOMES AND MEASURES: Association of BAG3 coding variation with clinical diagnoses, echocardiographic traits, and longitudinal outcomes. RESULTS: In PMBB (n = 43 731; median [IQR] age, 65 [50-76] years; 21 907 female [50.1%]), among 30 324 European and 11 198 African individuals, the common C151R variant was associated with decreased risk for DCM (odds ratio [OR], 0.85; 95% CI, 0.78-0.92) and simultaneous increased risk for HCM (OR, 1.59; 95% CI, 1.25-2.02), which was confirmed in the replication cohorts. C151R carriers exhibited improved longitudinal outcomes compared with noncarriers as assessed by age at death (hazard ratio [HR], 0.85; 95% CI, 0.74-0.96; median [IQR] age, 71.8 [63.1-80.7] in carriers and 70.3 [61.6-79.2] in noncarriers) and heart transplant (HR, 0.81; 95% CI, 0.66-0.99; median [IQR] age, 56.7 [46.1-63.1] in carriers and 55.6 [45.2-62.9] in noncarriers). C151R was associated with reduced risk of DCM (OR, 0.42; 95% CI, 0.24-0.74) and heart failure (OR, 0.27; 95% CI, 0.14-0.50) among individuals harboring truncating TTN variants in exons with high cardiac expression (n = 358). CONCLUSIONS AND RELEVANCE: BAG3 C151R was identified as a bidirectional modulator of risk along the DCM-HCM spectrum, as well as an important genetic modifier variant in TTN-mediated DCM. This work expands on the understanding of the etiology and penetrance of DCM, suggesting that BAG3 C151R is an important genetic modifier variant contributing to the variable expressivity of DCM, warranting further exploration of its mechanisms and of genetic modifiers in DCM more broadly.

Humans

Molecular Mobility of N-Acetylgalactosamine-Modified Cyclodextrins on a Polyrotaxane for Highly Efficient Liver Targeting of Antibody Chimeras and Genome-Editing Ribonucleoproteins.

Triantennary N-acetylgalactosamine (triGalNAc), which interacts strongly with the trimeric structure of asialoglycoprotein receptors (ASGPRs), is a validated platform for liver targeting. However, the intricate design and synthesis of its linkers impose high production costs and significant technical challenges. In this study, we report an alternative strategy for targeting ASGPR using monovalent GalNAc (monoGalNAc) conjugated to the cyclic molecules of polyrotaxane, which can rotate and translocate along the axial polymer chain. The intracellular uptake efficacy of monoGalNAc-modified polyrotaxane is comparable to that of triGalNAc-modified polyrotaxane and significantly higher than that of triGalNAc- or monoGalNAc-modified immobile control polymers. These results suggest that the inherent mobility of polyrotaxanes allows monoGalNAc moieties to cluster in a trivalent-like manner, thereby enhancing multivalent interactions with multiple ASGPR oligomers. The successful application of monoGalNAc-modified polyrotaxane to lysosome-targeting antibody chimeras and genome-editing nanoparticles demonstrates that this facile technology is a highly promising alternative to conventional triGalNAc.

Rotaxanes

The clonal analysis of cytotoxic lymphocytes against 2,4,6-trinitrophenyl (TNP)-modified cells.

The frequency and specificity of clones of cytotoxic lymphocytes (CL) produced when (CBA X C57BL)F1 spleen cell populations were cultured with 2,4,6-trinitrophenyl (TNP)-modified syngeneic F1 cells, was examined. The frequency of clones which lysed F1-TNP targets was 1/3.3 X 10(4) spleen cells, and the frequency of clones which lysed the modified parental cells, CBA-TNP and C57BL-TNP was 1/6.7 X 10(4) and 1/2.9 X 10(5) spleen cells, respectively. Using a clonal analysis of the specificity of the CL, it was shown that the majority of the clones of CL which lysed the two modified parental tarets, were specific for one or the other of the targets. Activity against modified allogeneic DBA/2-TNP targets was also detected. The activity against DBA/2-TNP targets was due mainly to clones of CL which were specific for DBA/2-TNP targets. Only a minor part of the activity was due to clones which were cross-reactive for both F1-TNP and DBA/2-TNP target cells.

Animals

Modified bases in the DNAs of unicellular eukaryotes: an examination of distributions and possible roles, with emphasis on hydroxymethyluracil in dinoflagellates.

The occurrence of small amounts of one or more of several modified bases in the DNA of an organism is widespread in nature. Prominent among these bases are 5-methylcytosine, N6-methyladenine and 5-hydroxymethyluracil. All can be found in varying amounts in DNA of viral, prokaryotic and eukaryotic origin. In some organisms, modified nucleotides comprise a large fraction of DNA nucleotides and in others there is complete replacement of one of the common four nucleotides by a modified one. This article discusses the distributions and possible roles of the several modified bases found in prokaryote and eukaryote DNAs. Emphasis is given (1) methylcytosine in a broad variety of eukaryotes, (2) methyladenine in certain protozoa and protophyta and (3) hydroxymethyluracil in dinoflagellates. Attention is focused on the phenomenology and the possible consequences of the presence of hydroxymethyluracil in DNA.

Adenine

Modified nucleotides in T1 RNase oligonucleotides of 18S ribosomal RNA of the Novikoff hepatoma.

The primary structure of 18S rRNA of the Novikoff hepatoma cells was investigated. Regardless of whether the primary sequence of 18S rRNA is finally determined by RNA sequencing methods or DNA sequencing methods, it is important to identify numbers and types of the modified nucleotides and accordingly the present study was designed to localize the modified regions in T1 RNase derived oligonucleotide. Modified nucleotides found in 66 different oligonucleotide sequences included 2 m62A, 1 m6A, 1 m7G, 1m1cap3psi, 7 Cm, 13 Am, 9 Gm, 11 Um, and 38 psi residues. A number of these modified nucleotides are now placed in defined sequences of T1 RNase oligonucleotides which are now being searched for in larger fragments derived from partial T1 RNase digests of 18S rRNA. Improved homochromatography fingerprinting (Choi et al. (1976) Cancer Res. 36, 4301) of T1 RNase derived oligonucleotides provided a distinctive pattern for 18S rRNA of Novikoff hepatoma ascites cells. The 116 spots obtained by homochromatography contain 176 oligonucleotide sequences.

Base Sequence

Comparative orientation of the fluorene residue in native DNA modified by N-acetoxy-N-2-acetylaminofluorene and two 7-halogeno derivatives.

Native calf thymus DNA was reacted with N-acetoxy-N-2-acetylaminofluorene (N-AcO-AAF) and its 7-fluoro and 7-iodo derivatives. Different ways of purification of the fluorene modified DNA samples were checked in order ot obtain a nucleic acid free from all noncovalently bound fluorene residues. The decrease in melting temperature in DNA samples modified by N-AcO-AAF(DNA-AAF) was carefully reinvestigated. From these experiments, we conclude that the melting temperature decrease is equal to 1.15 degree C per percent of modified bases, in DNA-AAF samples. Electric dichroism measurements on sonicated DNA samples modified by the different fluorene derivatives show the fluorene ring perpendicular to the helix axis in the case of the N-AcO-AAF and its fluoro derivative, and lying alone the phosphate-sugar backbone in the case of the iodo derivative. The results presented in this paper, along with those obtained earlier, led us to propose an "insertion-denaturation model" for the mode of binding of N-Aco-AAF and its fluoro derivative, and an "outside binding model" for the iodo derivative. Discrepancies with the data obtained by Chang et al.((1974) Biochemistry 13,2142-2148) concerning the melting temperature decrease and the electric dichroism results are observed and discussed.

Acetoxyacetylaminofluorene

Immunogenicity of tumour cells modified with various chemicals.

Mouse tumour cells were treated with various chemical modifiers. The number of modifying groups per cell was determined with labelled reagents. The effects of the different modifying groups on the immunogenicity of the tumour cells was tested in syngeneic mice for tumour protection using a challenge dose of viable cells at 1000 or 10,000 time LD100. Best protection was obtained after immunization of animals with tumour cells modified with dimethylsulphate or acetic anhydride, or with glutardialdehyde-fixed cells treated with a carbodiimide and methylamine. Up to 40% of the animals remained tumour-free. The other animals exhibited a greatly increased mean survival time. The post-challenge sera showed no detectable amounts of antibodies against the tumour cells.

Animals

Carboxymethylation of methionine residues in bovine pituitary luteinizing hormone and its subunits. Location of specifically modified methionine residues.

Bovine lutropin (luteinizing hormone) was carboxymethylated at pH3.0 for 12 h at 37 degrees C with iodoacetic acid for specific modification of methionine residues. To facilitate the location of preferentially modified methionine residues, iodoE114C]acetic acid was added as tracer. The alpha and beta subunits of bovine lutropin were carboxymethylated with a 2- or 5-fold molar excess of iodoacetic acid either in the presence or absence of their counterpart subunits. The modified subunits were separated and isolated by counter-current distribution followed by gel filtration on Sephadex G-100. To locate the modified methiones, the isolated alpha or beta chain was reduced. S-carboxymethylated and subjected to tryptic hydrolysis. The tryptic peptides were fractionated by gel filtration on Bio-Gel P-10. From analyses of the purified 14C-labelled tryptic peptides, it was observed that methionine-8 and -33 in bovine lutropin alpha chain and methionine-52 in the beta chain were preferentially modified. Similar results were obtained when isolated alpha and beta subunits were individually carboxymethylated in the absence of their counterpart subunit under identical conditions. The fact that a recombinant of native human lutropin alpha chain, in which a valine residue is present in the position corresponding to methionine-8 of bovine lutropin alpha chain, and carboxymethylated bovine lutropin beta chain regenerated a substantial amount of receptor-site-binding activity indicated that methionine-8 in bovine alpha chain was biologically not essential. These studies showed clearly that both methionine-33 in the alpha chain and methionine-52 in the beta subunit were involved for optimum binding between bovine lutropin and its receptors for expression of hormonal activity.

Amino Acid Sequence

Patterns of apparent co-operativity in a simple random non-equilibrium enzyme--substrate--modifier mechanism. Comparison with equilibrium allosteric models.

It has often been claimed that random non-equilibrium mechanisms can result in apparent homotropic and heterotropic effects in steady-state kinetics of the kind more usually attributed to intersubunit allosteric interactions. However, it has never been shown whether any simple random mechanism could in fact give patterns of apparent interaction similar to those predicted by the well-known allosteric models. The patterns of apparent substrate co-operativity and affinity given by the steady-state of a standard simple random substrate-modifier mechanism in which catalytic velocity is proportional to substrate binding have been analysed mathematically and numerically. All patterns possible with this model are described. Some of them rather resemble those possible with standard allosteric models, in that there is a high-affinity and a low-affinity form at zero and infinite modifier concentrations (or vice versa) which show Michaelian behaviour, apparent co-operativity passing through a maximum or minimum at intermediate affinities. Unlike the allosteric models the family of curves is in principle not symmetrical. The random model can also give behaviour not possible with the standard allosteric models, such as higher substrate affinity at intermediate modifier concentrations than at either zero or infinite modifier, with concomitant negative apparent substrate co-operativity, or a single change of sign of apparent substrate co-operativity. The analysis uses recently discovered simplified forms of steady-state equations for random models.

Allosteric Regulation