Search PubMedSearch

SEARCH · Search PubMed

Results for “Equilibrium optimization”

Search indexed PubMed citations on genomics, clinical trials, systematic reviews and public health. Explore titles, authors and supplied subject terms, then open the PubMed record.

Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.

At least 19 recordsLinked to original sources

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

Galanin receptors in a hamster pancreatic beta-cell tumor: identification and molecular characterization.

High affinity binding sites for galanin are identified and characterized in membranes from a hamster pancreatic beta-cell tumor. Using the radioiodinated peptide [125I] galanin, interaction of the peptide with pancreatic membranes is shown to be saturable, reversible, and time, temperature, membrane protein concentration, pH, and ionic strength dependent. In optimized equilibrium conditions of binding (90 min at 10 C), native galanin competitively inhibits the binding of [125I]galanin in a dose-dependent manner (from 10(-11)-10(-8) M); half-maximal inhibition is induced by 1 nM peptide. Scatchard analysis indicates the existence of a single population of sites of high affinity (Kd = 1.5 nM) and low capacity (44 fmol/mg protein). The monophasic dissociation process confirms the homogeneity of galanin-binding sites. Galanin-binding sites are highly specific, since apart from native galanin, none of the numerous biologically active peptides tested competes with [125I] galanin for binding to pancreatic membranes. The cross-linking of [125I]galanin to beta-cell membranes is performed using the chemical bifunctional reagent ethylene glycol bis-(succinimidyl succinate). After sodium dodecyl sulfate-polyacrylamide gel electrophoresis analysis in the presence or absence of dithiothreitol, one single band of 57,000 mol wt is observed, which may be corresponding to the [125I]galanin-receptor complex. Indeed, labeling of this 57,000 mol wt component is abolished only by native galanin but is unaffected by various other digestive peptides. Assuming one molecule of [125I]galanin is bound per molecule of protein, a 54,000 mol wt protein is identified as the pancreatic galanin receptor. In conclusion, our results indicate for the first time the identification of galanin receptors. Their presence in pancreatic beta-cells suggests a direct role of galanin in regulating endocrine beta-cell function.

Adenoma, Islet Cell

[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

Ryanodine induces persistent inactivation of the Ca2+ release channel from skeletal muscle sarcoplasmic reticulum.

Junctional sarcoplasmic reticulum (SR) membranes isolated from rabbit skeletal muscle were pretreated with 0.1-500 microM ryanodine under equilibrium conditions optimal for receptor binding, followed by the removal of bound alkaloid by several washes in Ca(2+)- and ryanodine-free buffer. Pretreatment with > 100 nM ryanodine results in a concentration-dependent decrease in the Bmax of the high affinity sites and a complete loss of measurable low affinity binding sites that persist for > 48 hr. Quantitative analysis of residual ryanodine using three different methods demonstrates that the inhibition is not the result of residual ryanodine bound to its receptor. Ca2+ transport measurements made with antipyrylazo III show that actively loaded ryanodine-pretreated SR exhibits a persistent insensitivity to ryanodine- and daunomycin-induced Ca2+ release that is not seen with washed control vesicles. Lipid bilayer membranes fused with SR vesicles exhibit rapidly fluctuating single-channel events with a conductance of 468 pS in asymmetric CsCl solutions. Ryanodine (10 microM) produces a unidirectional transition to a slowly fluctuating half-conductance state that is not reversed by perfusion of the bilayer with Ca(2+)-free buffer and subsequent addition of dithiothreitol. However, dithiothreitol added in the ryanodine pretreatment medium offers marked protection against ryanodine-induced loss of binding sites and allows complete restoration of native gating behavior of single channels in bilayer lipid membrane. Using three different experimental approaches, the data demonstrate that the alkaloid at micromolar concentration persistently alters SR Ca2+ release channel function, perhaps by uncoupling four negatively cooperative binding sites. The oxidation of critical receptor thiols is implicated in the process.

Animals

Why do many Michaelian enzymes exhibit an equilibrium constant close to unity for the interconversion of enzyme-bound substrate and product?

1. The idea is advanced that an evolutionary pressure in the direction of increased metabolic fluxes should lead to the selection at any evolutionary stage of enzymes which are optimally efficient considering the total evolutionary effort which has been spent on their improvement as catalysts. Relationships are derived which may be used for determination of the optimal state of operation of a Michaelian enzyme at a given total evolutionary effort as measured, for instance, by the mean magnitude of variable rate constants in the reaction mechanism. These relationships are applied to characterize the dependence on the total evolutionary effort of the optimal value of the equilibrium constant (Kint) for the conversion of enzyme-bound substrate into enzyme-bound product. 2. The results show that the optimal value of Kint reflects primarily the magnitude of the overall equilibrium constant for the catalysed reaction, whether or not the enzyme operates close to equilibrium. When the total evolutionary effort tends towards infinitely high values, Kint approaches unity, regardless of the magnitude of the overall equilibrium constant and of the concentrations of substrate and product. Concomitantly, the enzyme approaches its ultimate state of catalytic perfection where all variable rate constants in the mechanism tend towards infinitely high values. 3. It is concluded from previously reported kinetic data that triosephosphate isomerase has been subjected to such a low total evolutionary effort that the enzyme cannot possibly have reached (or even significantly approached) the ultimate state of perfection where the Kint value necessarily becomes close to unity. The reason why this enzyme exhibits a Kint value relatively close to unity is that it catalyses a reaction with an equilibrium constant relatively close to unity. Evidence is presented to show that similar considerations may apply for other enzymes operating by the examined reaction mechanism. 4. Analytical data are reported which indicate that Kint ultimately approaches unity because forward and reverse rate constants for the interconversion of enzyme-bound substrate and product are equivalent with regard to the evolutionary effort required to increase their magnitude.

Biological Evolution

DNA binding of purified transcription factor NF-kappa B. Affinity, specificity, Zn2+ dependence, and differential half-site recognition.

A rapid purification procedure for the NF-kappa B transcription factor from the cytosol of human placenta is demonstrated which exploits the insensitivity of the NF-kappa B.DNA complex toward the intercalating agent chloroquine. Purified NF-kappa B required 100 mM KCl or NaCl and a pH of 7.5 to optimally bind to DNA. Equilibrium of binding was reached within less than 5 min in the absence of competitor DNA and after 1 h in the presence of 0.1 mg/ml poly(dI-dC). DNA binding of NF-kappa B was specifically blocked by the chelating agent 1,10-orthophenantroline and could only be reconstituted by addition of Zn2+. Under optimal binding conditions, the dissociation constant for the complex of the purified NF-kappa B with its most frequent cognate DNA motif 5'-GGGACTTTCC-3' was in the range of 10(-12) to 10(-13) M. Various other cis-acting kappa B motifs were recognized by NF-kappa B with lower affinities. A comparative analysis of known NF-kappa B-binding sites and competition experiments with synthetic polynucleotides and oligonucleotides encompassing only one half-site or single-stranded kappa B motifs suggested that the two DNA-binding monomers in the NF-kappa B protein complex can interact differentially with the half-sites of the decameric cognate motif.

Base Sequence

Galanin binding sites in rat gastric and jejunal smooth muscle membrane preparations.

Receptors for galanin in membranes from the rat gastric and jejunal smooth muscle were studied using [125I] radioiodinated synthetic porcine galanin. Specific binding was time and temperature dependent. At 32 degrees C radioligand was degraded in the presence of smooth muscle membranes in a time-dependent manner. At optimal experimental conditions, the equilibrium binding analyses showed the presence of a single population of high affinity binding sites in both the rat stomach and jejunum (Kd value of 2.77 +/- 0.78 nM and 4.93 +/- 1.74 nM for stomach and jejunal smooth muscle membranes, respectively). The concentration of the high affinity binding sites was 58.19 +/- 11.04 and 32.36 +/- 5.68 fmol/mg protein, for gastric and jejunal preparations, respectively. Specific binding was completely inhibited by 10(-6) M of nonradioactive galanin; was 75% blocked by 1 microM of galanin(9-29); it was 10% blocked by 1 microM of galanin(15-29). Galanin(1-15) at a concentration of 1 microM was ineffective for inhibiting [125I]galanin binding. Deletion of four C-terminal amino acid residues from galanin(9-29) to give galanin(9-25) also resulted in almost complete loss of affinity. Radioiodinated galanin and N-terminally deleted fragments had receptor binding potency in the following order: galanin(1-29) greater than galanin(9-29) greater than galanin(15-29). We conclude that the C-terminal part of the galanin chain is important for the rat gastric and jejunal smooth muscle membrane receptor recognition and binding and that N-terminal amino acid sequences are probably not so important, since galanin(1-15) was not active but galanin(9-29) retained most of the receptor binding activity.

Animals

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

Nonlinear gradient isotherm parameter estimation for proteins with consideration of salt competition and multiple forms.

Salt gradients in ion-exchange chromatography are routinely used to speed separation of proteins and to concentrate products, but systematic optimization of these gradients requires protein equilibrium data as a function of salt concentration. An understanding of conformational changes, aggregation, and salt effects, which include both competition and affinity modulation, is important for equilibrium isotherm parameter estimation. In this study, gradient elution of bovine serum albumin (BSA) in anion exchange was well predicted by a salt-modulated nonlinear isotherm which considers salt competition. The isotherm was able to predict BSA gradient elution from batch equilibrium data. The same isotherm was also able to predict elution for various gradient slopes when fitted to an intermediate slope gradient experiment. If multiple forms due to aggregation or denaturation exist, isotherm parameters are readily averaged in batch experiments because of the long equilibration times. Similarly, gradient experiments yield averaged parameters because the salt gradient tends to merge the closely eluting forms. However, in isocractic elution, if the reaction rate is not rapid enough to give a merged peak, the estimated isotherm parameters are only fair predictors of gradient behavior and vice versa. Slower flow rates in isocratic elution can help reduce the discrepancy by allowing forms to merge through interconversion. As an alternative to determining averaged parameters, consideration of two binding forms, using VERSE-LC, an advanced rate model, gave good agreement with experimental data over the entire range of salt gradient durations.

Animals

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

Binding of platelet-activating factor to oviductal membranes during early pregnancy in the rabbit.

The present study explores the ability of rabbit oviductal membranes to bind tritiated platelet-activating factor [3H]PAF on days 3 and 6 of pregnancy. Under optimal conditions (25 degrees C, 120 min) equilibrium saturation analysis revealed only one class of binding sites, characterized by Kd s(nM), 80.03 +/- 11.60 and 11.17 +/- 7.09 and Bmaxs, (pmol/mg protein), 5.25 +/- 2.23 and 1.08 +/- 0.22 (N = 3, mean +/- SEM) for ampullar membranes on days 3 and 6, respectively. The corresponding values for isthmic membranes were Kds, 86.56 +/- 12.01 and 52.43 +/- 30.49 and Bmaxs, 9.41 +/- 0.67 and 2.88 +/- 1.96 for days 3 and 6, respectively. Significant differences between days 3 and 6 were observed only in the binding affinities for the ampullar membranes and the binding capacities for the isthmic binding sites. [3H]PAF binding was inhibited in the following order of decreasing potency: lyso-PAF greater than PAF C18:0 greater than U66985 greater than PAF C16:0 for day 3 ampullar membranes; and lyso-PAF C16:0 greater than PAF C18:0 greater than U66985 greater than PAF C16:0 for day 6 ampullar membranes. These studies show the existence of specific oviductal membrane PAF binding sites, the binding parameters of which may be related to the stage of pregnancy, rather than to the spatial location along the oviduct. The relative proportion of endosalpinx to myosalpinx between the ampulla and isthmus may have masked inherent differences and account for the relatively low affinity binding. The physiological significance of oviductal membrane PAF binding is yet to be established.

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

A strategy for efficient characterization of macromolecular heteroassociations via measurement of sedimentation equilibrium.

A method is proposed for the selection of experimental conditions for sedimentation equilibrium experiments that will provide maximal information about the values of equilibrium association constants within a given scheme for heteroassociation of two solute components. A discriminator function is proposed that indicates the sensitivity of the experimentally observed gradient or gradients to alterations in the underlying association constants. The value of this function is plotted or tabulated as a function of the concentrations of the two components, over a broad range of solution compositions. It is suggested that experiments performed with loading compositions corresponding to large absolute values of the discriminator function will yield the most information with respect to determination of the underlying association constants. This method was tested by predicting optimal conditions for three different types of sedimentation equilibrium experiments: (i) measurement of total (natural) solute absorbance; (ii) measurement of individual component gradients via measurement of tracer absorbance; and (iii) global analysis of multiple experiments. Experimental data resulting from sedimentation equilibrium experiments carried out under the specified conditions were simulated by addition of realistic levels of random error to calculated equilibrium gradients. The simulated data were then analyzed exactly as real experimental data, i.e., without prior knowledge of the underlying association constants. It was found that the highest accuracy and precision in determination of heteroassociation constants are obtained by global analysis of multiple experiments performed using significantly different loading compositions, each of which is selected from 'sensitive' regions of the discriminator map.

Centrifugation, Density Gradient

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

Physiological prediction of muscle forces--I. Theoretical formulation.

A physiological model for predicting muscle forces is described. Rigid-body mechanics and musculoskeletal physiology are used to describe the dynamics of the segment model and muscle model. Unknown muscle and joint contact forces outnumber the equilibrium equations resulting in an indeterminate problem. Mathematical optimization is utilized to resolve the indeterminacy. The modeling procedure relies entirely on established physiological principles. Data describing the muscle anatomy and body structures are included. A model defining the force-length-velocity-activation relationship of a muscle is adopted. The force a muscle produces is assumed to be proportional to its maximum stress, physiological cross-sectional area, activation, and its functional configurations including the muscle architecture, muscle length, contracting velocity, and passive tension. These factors are incorporated into inequality equations which limit the force for each muscle. Minimal muscular activation is forwarded as the optimization criterion for muscle force determination.

Biomechanical Phenomena