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A reinforcement learning-enhanced fuzzy multi-objective equilibrium optimization framework for multiple sequence alignment.

Multiple sequence alignment (MSA) is a fundamental task in bioinformatics, underpinning comparative genomics, structural analysis, and evolutionary inference. However, MSA remains a challenging multi-objective optimization problem due to the need to simultaneously maximize alignment accuracy, preserve conserved regions, and control gap proliferation, particularly in large and heterogeneous sequence collections. In this work, we propose MOFSACEO-MSA, a novel hybrid optimization framework for multiple sequence alignment that integrates a fuzzy multi-objective evaluation scheme with the Equilibrium Optimizer (EO) and a Soft Actor-Critic (SAC)-based adaptive control mechanism. The proposed framework formulates MSA as a dynamic multi-objective optimization problem, in which alignment quality is assessed using complementary residue-level and column-level criteria, including Sum-of-Pairs score, column conservation, entropy, and gap statistics. Fuzzy membership functions are employed to harmonize competing objectives into a unified optimization landscape, while EO provides robust global exploration. To further enhance adaptability, SAC dynamically regulates key EO parameters during the search process, enabling an effective balance between exploration and exploitation across datasets of varying size and heterogeneity. Extensive experiments werew conducted on diverse biological sequence datasets, with a primary focus on RNA benchmarks, including structured families from Rfam, large-scale repositories from RNAcentral and GenBank, and organism-specific tRNA datasets from GtRNAdb. Comparative evaluations against classical alignment tools (ClustalW, MAFFT, MUSCLE, PRANK, KAlign, and T-Coffee), metaheuristic methods (SAGA, Sequoya and EAFSA), and a reinforcement learning-based approach (RLALIGN) demonstrate that MOFSACEO-MSA consistently achieves competitive or superior Sum-of-Pairs scores while significantly reducing gap proportions and maintaining compact alignment lengths. Notably, the proposed framework exhibits improved robustness on large and highly heterogeneous datasets, where existing methods often suffer from excessive gap insertion or unstable convergence. Overall, MOFSACEO-MSA provides a flexible and extensible optimization paradigm that effectively bridges evolutionary search and reinforcement learning for high-quality multiple sequence alignment, with demonstrated effectiveness on challenging RNA alignment tasks.

Sequence Alignment

[Altitude adaptation. Part III. Altitude acclimatization as a problem of human biology (II. Morphology, physiology, biochemistry)].

The physiological mechanisms of adaptation will be reported. In a primary step of adaptation, the body reacts with immediate response, which already leads to a first classification: whether or not altitude will be tolerated by an individual. More steady biological processes follow with the same intention of balancing oxygen deficiency. They may be successful and acclimatization is possible, or they do not achieve the necessary level, i.e. that consequently developing pathological conditions of different severity lead to a next assortation of individuals with insufficient adaptability. The first state of lability can be compensated, or the intolerance will make a further stay in high altitudes impossible. No parameters exist which could allow a prognosis as to what kind of individuals will tolerate altitude or not. A different pattern of biological reaction is seen in permanent inhabitants of high altitudes who have been residing there for generations and haven't experienced conditions other than those of their special altitude in their individual lives. While ascending to higher altitudes, permanent residents also have to undergo new adaptation, as well as when descending to lower altitudes. Returning to their native environment requires reacclimatization. The mechanisms of adaptation on the organ level will be reviewed, as well as on the fluid and cellular level. All those functional and morphological mechanisms of adaptation to oxygen deficiency in high altitudes tend to maintain optimal equilibrium. Maladaptation may result. Expected genetically determined physiological alterations of adaptational value in permanent residents, which could have manifested themselves by way of "soft" selection and change of gene frequency in those high altitude populations, will be discussed. Genetical determination in such physiological parameters does not seem probable, although some pecularities such as the "blunted response" ventilation, the higher Bohr-Effect in Quenchua etc. might be interpreted in this direction.

Acclimatization

[Altitude adaptation. V. (conclusion). Morbidity and mortality. Literature].

The ability to adapt to extreme conditions is a continously working principle of man's evolution, in a permanent orientation to an optimal equilibrium between man and environment. A paradigm of biological adaptation is the condition of hypoxia at high altitudes, as one of the few environment constellations to which a pure biological and thus genetically based answer could be possible. The majority of adaptations are influenced by technological actions, which partially modify the environment in compensating unfavourable constellations (heating, clothing, housing, etc.). It is discussed, how far the adaptation to high altitudes produces transitory or permanent alterations with reference to constitution, perseverance, cold-sensitivity, diseases, duration of life, fertility, course of pregnancy, adaptations at the organ- and tissue-level, blood-composition, fluid-equilibrium of the body etc., which guarantee the survival of the individual and its successful reproduction with regard to the continuance of a mendel population. The elucidation of the question on genetic determination of features characteristic for high altitude inhabitants is difficult because we know next to nothing about the genetic determination of physiologic parameters. Studies on ethnic marker-genes (Ethiopia, South-America) give no reference to population differences. Remarkable is a striking prevalence of the blood-group O for all populations of high altitudes, but one must consider the effects of isolation in terms of the increase in the homozygote recessive alleles. We can propose, that in the primary settlement at high altitudes a "hard selection" was working, a kind of biological assortation-process from the beginning, which eliminated those individuals, who proved to be (for genetic reasons?) not adaptable. A good example for this are observations of cattle, from which 50% do not develop pulmonary hypertension when exposed to altitude, that means they already have a higher initial fitness. The non-adaptable animals have to be returned to the lowlands. In the F1-generation only 2% of the animals remaining at high altitude, develop "brisket disease". Possibly that means a sort of "out-mendeling" of "pulmonary-hypertension-genes", which may manifest themselves in the condition of hypoxia. Also the good adaptation of llamas is partially due to the fact that the camelids per se possess an outstanding O2 affinity and morphologically different red blood cells, which predispose this species to inhabit high altitudes. Parallel to considerations like these it could be imaginable, that e.g. the indianids of mongoloids in general, are genetically composed as fit to inhabit lowlands as well as highlands, in contrast to caucasoids and negroids. The largest mountain areas of the world (the Andes: 12 X 10(6)), the Himalayas 12 X 10(6)) are inhabited by populations of mongoloid ancestry, for about 10,000 years, a period, which ought to be long enough to make possible genetic specialisation, although it is not yet possible to prove it...

Acclimatization

A direct radioimmunoassay for plasma renin in mice and its evaluation.

The pioneering work of Cohen, S., Taylor J.M., Murakami, K., Michelakis, A.M. and Inagami, T. ((1972) Biochemistry 11 4286-4293) with isolation of submaxillary renin and the first direct radioimmunoassay for renin subsequently described by Michelakis A.M. Yoshida H., Menzie, J., Murakami, K. and Inagami, T ((1974) Endocrinology 94, 1101-1105) was reinvestigated and confirmed. In addition a detailed evaluation of the assay is described by characterization of the immunoreactivity of the labelled renin and demonstration of immunological identity between plasma renin and purified renin standards. Assay and equilibrium conditions were characterized and optimized and the association constant for the antibodies determined to be of the order of 10(11)1/mol. The validity of the direct assay for renin was further investigated by a comparison with another radioimmunoassay for renin; the antibody trapping method, which measures the enzymatic activity of renin in plasma. The correlation coefficient is high (0.91) but does not exclude that the direct assay measures a hypothetical prorenin in plasma as well.

Animals

Cobalt exchange in horse liver alcohol dehydrogenase.

The preparation of metal hybrid species of horse liver alcohol dehydrogenase is made possible by the development of carefully delineated systems of metal in equilibrium metal exchange employing equilibrium dialysis. The conditions which are optimal for the site-specific replacement of the catalytic and/or noncatalytic zinc atoms of the native enzyme by cobalt are not identical with those which are utilized for substitution with 65Zn. Thus, while certain 65Zn hybrids can be prepared by exploiting the differential effects of buffer anions, the cobalt hybrids are generated by critical adjustments in the pH of the dialysate. Factors which may determine the mechanism of metal replacement reactions include acid-assisted, ligand-assisted, and metal-assisted dechelation, steric restriction, and ligand denticity as well as physicochemical properties of the enzyme itself. The spectral characteristics of the catalytic and noncatalytic cobalt atoms reflect both the geometry of the coordination complexes and the nature of the ligands and serve as sensitive probes of these loci in the enzyme.

Alcohol Oxidoreductases

Optimal conditions and specificity of interaction of a distinct class of nonhistone chromosomal proteins with DNA.

A subclass of nonhistone chromatin proteins with high DNA affinity has been isolated from rat liver. The interaction of the isolated proteins with DNA in vitro was characterized utilizing a nitrocellulose filter binding technique. The temperature, time, concentration, ionic strength, and pH dependence were characterized. Optimal interaction was observed at 0.19 M naCl, pH 7.5 with a protein to DNA ratio of 13 (w/w). Equilibrium and kinetic competition experiments indicated that these proteins interact optimally with A-T rich and single-stranded DNA. The data also suggest that these proteins might affect the helixcoil transiton of DNA.

Animals

A pregnenolone-binding protein in soluble fraction of guinea pig adrenal cortex.

A pregnenolone-binding component has been detected in the soluble fraction of the guinea pig adrenal cortex. Enzymatic degradation studies revealed that the binding component was a protein. The binding was destroyed at 60 degrees but was not inhibited by sulfhydryl reactants. Pregnenolone was bound optimally at pH 7 to 7.5 The equilibrium association constant at 0 degrees was 10(7) M-1. The pregnenolone-binding protein had an apparent molecular weight of 58,000, as determined by gel filtration. With the exception of pregnenolone sulfate, structurally similar steroids did not interfere with pregnenolone binding. No such binding activity was detected in the guinea pig liver and kidney. Serum contained pregnenolone-binding activity which was distinguishable from the adrenal cytosol factor by a variet of physicochemical means. The physiological importance of this finding remains to be determined.

Adrenal Cortex

Hydrolysis-resynthesis equilibrium of the lysine-15--alanine-16 peptide bond in bovine trypsin inhibitor (Kunitz).

Catalytic amounts of bovine beta-trypsin, bovine alpha-chymotrypsin and porcine plasmin establish a true thermodynamic equilibrium between virgin (I) (reactive site Lys15-Ala16 peptide bond intact) and modified (I) (this bond hydrolyzed) bovine trypsin/kallikrein inhibitor (Kunitz). The very slow reaction rates for attaining equilibrium are pH-dependent and differ for different enzymes. Optimal rates are for beta-trypsin at pH 3.75, for alpha-chymotrypsin at pH 5.5, and for plasmin at pH 5.0. Under conditions of optimum pH the equilibrium is reached with the highest rate by plasmin. In 10(-5)M inhibitor solutions the equilibrium concentrations of virgin and modified inhibitor are established by plasmin after almost 300 days starting from either pure virgin or pure modified inhibitor. Thus, the hydrolysis constant KHyd = [I]/[I] is determined to be 0.33 at pH 5.0. In spite of many unsuccessful attempts, this demonstrates that the reactive site peptide bond Lys15-Ala16 in the bovine trypsin inhibitor (Kunitz) can be hydrolyzed by catalytic amounts of endopeptidase. It further confirms that the hydrolyzed Lys15-Ala16 peptide bond in modified inhibitor is subject to thermodynamic control resynthesis.

Alanine

Glucocorticoid receptors: evidence for a second, non-glucocorticoid binding site.

Previous studies on cytoplasmic glucocorticoid receptors and enzyme induction led to the classification of steroids as inducers (optimal or sub-optimal), antagonists, or inactive steroids, with respect to their activity as glucocorticoids. The receptor was postulated to exist in allosteric equilibrium between two conformational states, one "active" and the other "inactive". Steroids behaved as inducers (optimal or sub-optimal), antagonists, or inactive steroids depending on their relative affinity for the active and inactive conformational state of the receptor. Another possible model would invoke multiple binding sites on a single receptor with interactions between the binding sites depending upon the particular steroid bound. To test this latter possibility, an experimental technique was developed to measure the rate of dissociation of tritiated dexamethasone ([3H]DM) or tritiated aldosterone ([3H]A) from the glucocorticoid receptor of rat liver or kidney cytosol. The dissociation of the [3H]DM-receptor at 25 C was not due to irreversible denaturation, and minimal recombination of the receptor with [3H]DM occurred. Progesterone and a number of other steroids consistently and significantly increased the dissociation rate of [3H]DM-receptor complexes in both liver and kidney cytosol. An identical effect was seen with hepatic glucocorticoid receptors labelled with [3H]A, like dexamethasone an optimal inducer. All steroids which enhanced glucocorticoid-receptor dissociation were either antagonists or sub-optimal inducers. Thus, it is postulated that glucocorticoid receptors have at least two classes of binding sites, and that occupation of the second site increases the dissociation rate of agonists from glucocorticoid receptors.

Aldosterone

Metabolic control of respiratory neuronal activity and the accompanying changes in breathing movements of the rabbit. III. Phase shifts in respiratory neurons induced by inflation and collapse of the lung, hyperventilation, or metabolic modifiers.

Phase shifts between inspiratory-related and expiratory-related discharge patterns can be reversibly induced in respiratory neurons following volume changes of the lung, hypocapnic apnea as a result of hyperventilation, or superfusion with certain metabolic modifiers. Phase-spanning expiratory-inspiratory or inspiratory-expiratory discharges are frequently induced in those neurons which are activated either by pulmonary stretch receptors or collapse afferents. The same is true for regulatory effectors which activate key steps of the neuronal metabolism such as ADP, 3-phosphoglycerate, L-glutamine, fructose-6-phosphate and fructose-1,6-diphosphate. In contrast, inhibitory vagal inputs or superfusion with citrate, an inhibitory metabolic modifier, revert preexisting expiratory-inspiratory discharges into a phase-coupled inspiratory pattern. It is postulated that the respiratory neuronal networks represents a time-optimal control system which strives to adjust to a new equilibrium value in a minimum of time, following a given mechanical or chemical perturbation. Following the hypothesis advanced by Cohen (1974) that the phase-spanning units modulate the activity of the in-phase neurons, it is suggested that the additional recruitment of expiratory-inspiratory and inspiratory-expiratory units provides a measure of the quality of time-optimal control and hence a performance index of the system.

Animals

The question of adaptive sex ratio in outcrossed vertebrates.

Of various published theories of adaptive control of progeny sex ratio only two are plausible, a physiological theory by Trivers & Willard, and a demographic theory by Verner. The first applies to species in which sons and daughters impose different costs on parents, and in which only one or very few young are produced at once. They ought to show positive correlations in the sex of successive offspring and high sex-ratio variance among progenies. Verner's theory postulates a minimization of competition for mates in neighbourhoods subject to random fluctuation in sex ratio. Optimal progenies would exactly match the population's evolutionary equilibrium sex ratio. There would be little variance among progenies. Evidence from vertebrates is unfavourable to either theory and supports, instead, a non-adaptive model, the purely random (Mendelian) determination of sex. The apparent absence of parental control of progeny sex ratio is a serious theoretical difficulty.

Adaptation, Biological

Axoplasmic free magnesium levels and magnesium extrusion from squid giant axons.

The free magnesium concentration in the axoplasm of the giant axon of the squid, Loligo pealei, was estimated by exploting the known sensitivity of the sodium pump to intracellular Mg2+ levels. The Mg-citrate buffer which, when injected into the axon, resulted in no change in sodium efflux was in equilibrium with a Mg2+ level of about 3--4 mM. Optimal [Mg2+] for the sodium pump is somewhat higher. Total magnesium content of axoplasm was 6.7 mmol/kg, and that of hemolymph was 44 mM. The rate coefficient for 28Mg efflux was about 2 X 10(-3) min-u for a 500-mum axon at 22-25degreesC, with a very high temperature coefficient (Q10=4-5). This efflux is inhibited 95% by injection of apyrase and 75% by removal of external sodium, and seems unaffected by membrane potential or potassium ions. Increased intracellular ADP levels do not affect Mg efflux nor its requirement for Na+/o, but extracellularl magnesium ions do. Activation of 28Mg efflux by Na+/o follows hyperbolic kinetics, with Mg2+/o reducing the affinity of the system for Na+/o. Lanthanum and D600 reversibly inhibit Mg efflux. In the absence of both Na+ and Mg2+, but not in their presence, removal of Ca2+ from the seawater vastly increased 28Mg efflux; this efflux was also strongly inhibited by lanthanum. A small (10(-14) mol cm-2) extra Mg efflux accompanies the conduction of an action potential.

Action Potentials

Glucose-6-phosphate dehydrogenase of Anabaena sp. Kinetic and molecular properties.

The kinetic and molecular properties of cyanobacterial glucose-6-phosphate dehydrogenase, partly purified from Anabaena sp. ATCC 27893, show that it undergoes relatively slow, reversible transitions between different aggregation states which differ in catalytic activity. Sucrose gradient centrifugation and polyacrylamide gel electrophoresis reveal three pincipal forms, with approximate molecular weights of 120 000 (M1), 240 000 (M2) and 345 000 (M3). The relative catalytic activities are: M1 less than M2 less than M3. In concentrated solutions of the enzyme, the equilibrium favors the more active, oligomeric forms. Dilution in the absence of effectors shifts the equilibrium in favor of the M1 form, with a marked diminution of catalytic activity. This transition is prevented by a substrate, glucose-6-phosphate, and also by glutamine. The other substrate, nicotinamide adenine dinucleotide phosphate (NADP+), and (in crude cell-free extracts) ribulose-1,5-diphosphate are negative effectors, which tend to maintain the enzyme in the M1 form. The equilibrium state between different forms of the enzyme is also strongly dependent on hydrogen ion concentration. Although the optimal pH for catalytic activity is 7.4, dissociation to the hypoactive M1 form is favored at pH values above 7; a pH of 6.5 is optimal for maintenance of the enzyme in the active state. Reduced nicotamide adenine dinucleotide phosphate (NADPH) and adenosine 5'-triphosphate (ATP), inhibit catalytic activity, but do not significantly affect the equilibrium state. The relevance of these findings to the regulation of enzyme activity in vivo is discussed.

Adenosine Triphosphate

Characterization of DNA binding protein from rat liver chromatin which decreases during growth.

A nuclear nonhistone protein which decreases in chromatin during growth (Yeoman, L. C., et al. (1975) Cancer Res. 35, 1249) has been isolated in high purity from the chromatin of normal rat liver nuclei by gel electrophoresis and column chromatography. This protein, designated BA (Yeoman, L.C., et al. (1973) Biochem Biophys. Res. Commun. 53, 1067), has a molecular weight of 31 000, an acidic to basic amino acid composition ratio of 0.9, and contains one tryptophan residue per molecule. Hydrazinolysis indicated protein BA has a lysine carboxyl terminus; however, the amino terminal is blocked as no reaction occurred with dansyl chloride. Maps of tryptic peptides of protein BA contained 46 spots. Protein BA binding to various DNAs was examined by the nitrocellulose filter assay. Binding was slightly enhanced by 2mM Mn2+ion; Mg2+, however, decreased binding. Binding was optimal at neutral pH and an ionic strength of 0.2 M [NaCl]. Equilibrium competition binding studies indicated a binding preference of protein BA for dA-dT rich DNA.

Aging

Creatine kinase in serum: 1. Determination of optimum reaction conditions.

To establish optimum conditions for creatine kinase (EC 2.7.3.2) activity measurement with the creatine phosphate in equilibrium creatine reaction, we re-examined all kinetics factors relevant to an optimal and standardized enzyme assay at 30 and 25 degrees C. We determined the pH optimum in vaious buffers, considering the effect of the type and concentration of the buffer, as well as the influence of various buffer anions on the activity. The relation between activity and substrate concentration was shown and the apparent Michaelis constants of creatine kinase for creatine phosphate and ADP were evaluated. We tested the effect on creatine kinase measurement of the concentration of substrates (glucose and NADP+) in the auxillary and indicator reactions, especially the influence of the added auxiliary (hexokinase) and indicator (glucose-6-phosphate dehydrogenase) enzymes on the lag phase, at different temperatures. The NADP+ concentration proved to be the factor limiting the duration of constant reaction rate. We studied the inhibition of creatine kinase and adenylate kinase by AMP and established a convenient AMP concentration. For reactivation of creatine kinase, N-acetyl cysteine as sulfhydryl compound was introduced. Finally, we examined the relationship between activity and temperature.

Blood Glucose

Experimental optimization of the detection limit of two-step solid-phase radioimmunoassay.

For two-step inhibition radioimmunoassay (sequential saturation or delayed addition of labeled antigen) generally a higher sensitivity than for one-step inhibition radioimmunoassay (equilibrium assay) is expected. The detection limit of a two-step solid phase inhibition radioimmunoassay for human serum immunoglobulin A was minimized by statistical methods of experimental optimization. Under optimal conditions the detection limit was 2.3 ng IgA. This is about 1.8 times lower than the minimal detection limit of the one-step assay under similar conditions of the qualitative variables such as the origin of the antibody. This increase in sensitivity was associated with a decrease in the precision of the assay. The results are discussed with respect to the comparison of the one-step and the two-step assay and the usefulness of a sensitive radioimmunoassay in practice.

Evaluation Studies as Topic

Lysine-sensitive aspartokinase of Escherichia coli K12. Synergy and autosynergy in an allosteric V system.

The interactions of the lysine-sensitive aspartokinase of E. coli K12 with lysine and leucine, as evidenced in the inhibition and binding curves, are well explained by the equations of an allosteric V model. Mathematical treatments of such a model lead to new linearized plots. These representations are applied to our experimental results and allow the direct determination of some parameters of the model (equilibrium constant L' and leucine dissociation constants). The other parameters are obtained by an optimization method. The theoretical curves drawn according to this model account well for the synergistic inhibition between lysine and leucine and for the role of the two nonequivalent lysine binding sites ("autosynergy").

Allosteric Regulation

Growth of hygroscopic aerosols in a model of bronchial airways.

Experiments have been performed on the "breathing" of micron-size hygroscopic aerosols in and out of a four-generation model of the bronchial tree. Comparison of the experimental results on aerosol growth in the model with the classical theory for dilute aqueous solutions of nonpolar salts shows a) that the theory is applicable to conditions in the airways, b) that to a high degree of approximation the process represents deposition followed by growth, and c) that there is a significant amount of trapping of particles near their equilibrium size in the deeper model tubes. These experiments are the first to verify that the classical particle growth theory is applicable to the particle sizes and environmental conditions present in the human airways during hygroscopic aerosol therapy. This theory will be useful in designing an optimal hygroscopic aerosol delivery system, but several questions including the method of generation and the effect of drug solutions on particle equilibriums remain to be answered.

Aerosols