Using numerical approximation as an intermediate step in analytical derivations: some observations from biomechanics

We present four examples to illustrate the use of a type of numerical approximation as an intermediate step in analytical derivation of seemingly complicated biomechanical equations. The method involves examination of curve shapes to elucidate useful underlying trends, which may otherwise be overlooked through consideration of only the equations themselves. Two examples of the method's use are drawn from recently published results in the area of experimental methods in biomechanics of very soft tissues, and two others are taken from our current work on cartilage tissue mechanics. We think that such observations provide a useful means of circumventing complexity issues when deriving models for biomechanical analysis, and further that the method, while simple in concept, could be effective in a range of biomechanics applications.     

Composite organization of the cobalamin binding and cubilin recognition sites of intrinsic factor

Intrinsic factor (IF(50)) is a cobalamin (Cbl)-transporting protein of 50 kDa, which can be cleaved into two fragments: the 30 kDa N-terminal peptide IF(30) and the 20 kDa C-terminal glycopeptide IF(20). Experiments on binding of Cbl to IF(30), IF(20), and IF(50) revealed comparable association rate constants (k(+)(Cbl) = 4 x 10(6), 14 x 10(6), and 26 x 10(6) M(-1) s(-1), respectively), but the equilibrium dissociation constants were essentially different (K(Cbl) = 200 microM, 0.2 microM, and 相似文献   

Nucleotide-binding kinetics of Na,K-ATPase: cation dependence

Correlation between the Na,K-ATPase affinity to ADP and the cation (its nature and concentration) present in the medium was investigated. In buffer with low ionic strength (I approximately 1 mM) high-affinity ADP binding was not observed, while a stepwise increase in the concentrations of added cation (Na(+), Tris(+), imidazole(+), N-methylglucamine(+), choline(+)) induced an increase in the ADP affinity. The effect was fully saturated at 30-50 mM for all of the cations tested. The maximal affinity for ADP was slightly higher in the presence of Na(+), Tris(+), or imidazole(+) than in the presence of N-methylglucamine(+) or choline(+) (equilibrium dissociation constant K(d) 0.2-0.3 vs 0.7 microM). The ADP dissociation rates from its complex with enzyme in the presence of Na(+) or Tris(+) were similar, implying identity of the nucleotide-binding enzyme conformations, which therefore are assigned to E(1). The ability to compete with K(+) clearly distinguished Na(+) from other cations, which speaks against the sole involvement of the transport sites in the induction of the ADP-binding E(1) conformation. Since the cations are similar in their mode of induction of the high ADP affinity but they demonstrate a pronounced difference in ability to compete with K(+), their effects cannot be combined within any scheme with only one type of cation-binding sites. We suggest that the high affinity toward nucleotide is induced by cation interactions within the protein or lipid and that these nucleotide-domain-related sites coexist with the transport sites, which bind only Na(+) or K(+).     

P-O bond destabilization accelerates phosphoenzyme hydrolysis of sarcoplasmic reticulum Ca2+ -ATPase

The phosphate group of the ADP-insensitive phosphoenzyme (E2-P) of sarcoplasmic reticulum Ca2+ -ATPase (SERCA1a) was studied with infrared spectroscopy to understand the high hydrolysis rate of E2-P. By monitoring an autocatalyzed isotope exchange reaction, three stretching vibrations of the transiently bound phosphate group were selectively observed against a background of 50,000 protein vibrations. They were found at 1194, 1137, and 1115 cm(-1). This information was evaluated using the bond valence model and empirical correlations. Compared with the model compound acetyl phosphate, structure and charge distribution of the E2-P aspartyl phosphate resemble somewhat the transition state in a dissociative phosphate transfer reaction; the aspartyl phosphate of E2-P has 0.02 A shorter terminal P-O bonds and a 0.09 A longer bridging P-O bond that is approximately 20% weaker, the angle between the terminal P-O bonds is wider, and -0.2 formal charges are shifted from the phosphate group to the aspartyl moiety. The weaker bridging P-O bond of E2-P accounts for a 10(11)-10(15)-fold hydrolysis rate enhancement, implying that P-O bond destabilization facilitates phosphoenzyme hydrolysis. P-O bond destabilization is caused by a shift of noncovalent interactions from the phosphate oxygens to the aspartyl oxygens. We suggest that the relative positioning of Mg2+ and Lys684 between phosphate and aspartyl oxygens controls the hydrolysis rate of the ATPase phosphoenzymes and related phosphoproteins.     

Origin of the disjunct tetraploid Cardamine amporitana (Brassicaceae) assessed with nuclear and chloroplast DNA sequence data

Seventy-four nucleotide sequences from the ITS regions of nuclear ribosomal DNA and 76 from the trnL-trnF spacer of chloroplast DNA were used to address the origin of tetraploid Cardamine amporitana, the conspecifity of central Italian and northeastern Spanish populations, and the possible cause for such geographic disjunction. Because of the complex lineage relationships in Cardamine, the sampling included 22 taxa. In the results, both data sets are highly congruent in supporting a close relationship of C. amporitana to the widespread Eurasian C. amara. Low genetic variability in northeastern Spanish populations of C. amporitana suggests long-distance dispersal from central Italy. The interior position of the single northeastern Spanish haplotype in a statistical parsimony network of trnL-trnF haplotypes however does not support this scenario and invokes other plausible phylogeographic explanations. The disappearance of geographically intermediate populations and genetic impoverishment by migration and isolation, both probably associated with Quaternary climatic oscillations, appears as an alternative hypothesis to explain the phylogeographic pattern. A recent hybridization event is reported between C. amporitana and a diploid from the C. pratensis group in central Italy on the basis of additive polymorphisms in ITS for all the 22 distinguishing nucleotides.     

Matrix-assisted laser desorption/ionization time-of-flight mass spectrometry-based amino acid analysis

Amino acid analysis has been an integral part of analytical biochemistry for more than 50 years. However, its experimental design, which includes derivatization of amino acids followed by some kind of chromatographic separation, has not changed over the years. We have developed a matrix-assisted laser desorption/ionization time-of-flight (MALDI-TOF)-based method for the quantitative analysis of amino acids. This method does not require any amino acid modification, derivatization, or chromatographic separation. The data acquisition time is decreased to several seconds for a single sample. No significant ion suppression effects were observed with the developed sample deposition technique, and the method was found to be reproducible. Linear responses between the amino acid concentration and the peak intensities ratio of corresponding amino acid to internal standard were observed for all amino acids analyzed in the range of concentrations from 20 to 300 microM, and correlation coefficients were between 0.983 (for arginine) and 0.999 (for phenylalanine). Limits of quantitation were between 0.03 microM (for arginine) and 3.7 microM (for histidine and homocysteine). This method was applicable to the mixtures of free amino acids as well as to HCl hydrolysates of proteins. Furthermore, we have shown that this method can be applied to other biologically important low-molecular weight compounds such as glucose.     

Substrate evokes translocation of both domains in the mitochondrial processing peptidase alpha-subunit during which the C-terminus acts as a stabilizing element

To determine whether the two domains of hepatitis C virus (HCV) NS3 and the NS4A interact with each other to regulate the RNA unwinding activity, this study compares the RNA unwinding, ATPase and RNA binding activities of three forms of NS3 proteins--the NS3H protein, containing only the helicase domain, the full-length NS3 protein, and the NS3-NS4A complex. The results revealed that NS3 displayed the weakest RNA helicase activity, not because it had lower ATPase or RNA binding activity than did NS3H or NS3-NS4A, but because it had the lowest RNA unwinding processivity. A mutant protein, R1487Q, which contained a mutation in the helicase domain, displayed a reduced protease activity as compared to the wild-type NS3-NS4A. Together, these results suggest the existence of interactions between the two domains of NS3 and the NS4A, which regulates the HCV NS3 protease and RNA helicase activities.     

Retroviruses pseudotyped with the severe acute respiratory syndrome coronavirus spike protein efficiently infect cells expressing angiotensin-converting enzyme 2

Infection of receptor-bearing cells by coronaviruses is mediated by their spike (S) proteins. The coronavirus (SARS-CoV) that causes severe acute respiratory syndrome (SARS) infects cells expressing the receptor angiotensin-converting enzyme 2 (ACE2). Here we show that codon optimization of the SARS-CoV S-protein gene substantially enhanced S-protein expression. We also found that two retroviruses, simian immunodeficiency virus (SIV) and murine leukemia virus, both expressing green fluorescent protein and pseudotyped with SARS-CoV S protein or S-protein variants, efficiently infected HEK293T cells stably expressing ACE2. Infection mediated by an S-protein variant whose cytoplasmic domain had been truncated and altered to include a fragment of the cytoplasmic tail of the human immunodeficiency virus type 1 envelope glycoprotein was, in both cases, substantially more efficient than that mediated by wild-type S protein. Using S-protein-pseudotyped SIV, we found that the enzymatic activity of ACE2 made no contribution to S-protein-mediated infection. Finally, we show that a soluble and catalytically inactive form of ACE2 potently blocked infection by S-protein-pseudotyped retrovirus and by SARS-CoV. These results permit studies of SARS-CoV entry inhibitors without the use of live virus and suggest a candidate therapy for SARS.