Creep function of a single living cell

We used a novel uniaxial stretching rheometer to measure the creep function J(t) of an isolated living cell. We show, for the first time at the scale of the whole cell, that J(t) behaves as a power-law J(t) = At(alpha). For N = 43 mice myoblasts (C2-7), we find alpha = 0.24 +/- 0.01 and A = (2.4 +/- 0.3) 10(-3) Pa(-1) s(-alpha). Using Laplace Transforms, we compare A and alpha to the parameters G(0) and beta of the complex modulus G*(omega) = G(0)omega(beta) measured by other authors using magnetic twisting cytometry and atomic force microscopy. Excellent agreement between A and G(0) on the one hand, and between alpha and beta on the other hand, indicated that the power-law is an intrinsic feature of cell mechanics and not the signature of a particular technique. Moreover, the agreement between measurements at very different size scales, going from a few tens of nanometers to the scale of the whole cell, suggests that self-similarity could be a central feature of cell mechanical structure. Finally, we show that the power-law behavior could explain previous results first interpreted as instantaneous elasticity. Thus, we think that the living cell must definitely be thought of as a material with a large and continuous distribution of relaxation time constants which cannot be described by models with a finite number of springs and dash-pots.     

Relationships between basic life history parameters and population size

We consider an ideal population with a stable age composition changing according Lotka equation. Additional assumptions are made concerning the constancy of population size, independence of specific mortality rate on age, and linear dependence of female fecundity on its weight. A relationship has been obtained [formula: see text] where N0 is initial numbers of a generation, N[alpha, omega] is total numbers of the mature part of the population, w[alpha, omega] is a mean weight of a mature individual, s is sex ratio, c is specific fecundity (per unit of weight) and l0 is the probability of larval surviving. The growth of an individual is described by the Bertalanffy function. Methods of calculation of life history parameters are discussed. A method is proposed to calculate the age of maturity (alpha) and at the end (omega) of the reproduction period as first and second inflection points of the growth rate curve. Based upon data on development of 27 populations of several species of fishes of inland waters of Russia the following relationship have been obtained: [formula: see text] for populations with [formula: see text] < or = 100 g, [formula: see text] for populations with [formula: see text] > 100 g, and [formula: see text] for all populations.     

Temperature dependence of blood surface tension

Whole blood surface tension of 15 healthy subjects recorded by the ring method was investigated in the temperature range from 20 to 40 degrees C. The surface tension omega as a function of temperature t ( degrees C) is described by an equation of linear regression as omega(t) = (-0.473 t + 70.105) x 10(-3) N/m. Blood serum surface tension in the range from 20 to 40 degrees C is described by linear regression equation omega(t) = (-0.368 t + 66.072) x 10(-3) N/m and linear regression function of blood sediment surface tension is omega(t) = (-0.423 t + 67.223) x10(-3) N/m.     

Oscillatory behaviour and unsaturated fatty acid composition of diabetic liver mitochondria

Volume oscillations of liver mitochondria resulting from valinomycin induced K+ transport, may be represented by the equation At/Am = C'.exp(-beta t).sin(omega 1t+ psi) where At is the oscillation amplitude at time t; Am, the maximal amplitude; beta, the damping coefficient, omega 1 the oscillation frequency, and C' and psi, constants. The kinetic parameters beta and omega 1 increased as a function of valinomycin concentration. Measurement of beta and omega 1 for mitochondria from normal rats (A); diabetic rats (B), and normal rats fed corn oil or lard-supplemented diets (C and D, respectively), yielded an increase in beta (P less than 0.05) in B and D as compared with A, and a decrease in omega 1 in B and D as compared with A and C, respectively. Analysis of mitochondrial lipids revealed significant diminution of arachidonic acid and other polyenoic fatty acids in diabetic and lard-fed rats, as compared with normal rats and corn oil-fed rats, respectively. The conclusion is drawn that the abnormal oscillatory behaviour of diabetic liver mitochondria is related to the alteration of the membrane fatty acid composition.     

温度对橄榄蛏蚌耗氧和氨氮排泄的影响

The respiration metabolismand excretion of marinebivalves were studied by different researchers[1—6].Themetabolic rate of bivalves is influenced by a number ofvariables,includingtemperature,body size,oxygen ten-sion,food concentration,reproductive state,activityleveland physiological condition.The excreted metabolites ofbivalves include ammonia,urea,uric acid and others,with ammonia comprising70%of the total excretion.Solenaia oleivorais a proper freshwater bivalve in China.For the consumer it has the follo...     

Relation between body height and weight in adult humans

Series of values for body height of adults ranging from 150 to 190 cm and the corresponding body weights for 9 age groups from 15 to 65 a are interrelated by 5 test functions. Results of nonlinear regressions as gained by minimization of the sums of the squares and absolute values of the deviations are summarized in tables for comparison. The last position in the goodness-of-fit is held by the allometric relation W = alpha L beta preceded by the exponential type W = abL. No considerable gain can be realised by taking the expression W = a exp (b Lp). A big step is reached, however, with the change to the form W = W150 + alpha (L-150) beta reducing the linear deviations to about 1/3 or more. Finally the 3-parameter structure W = W A + alpha (L-150) beta yields even closer approximations. Tables with the results for the last 2 relations are given together with a graph for the best approximation.     

西藏浪错兰格湖裸鲤的年龄与生长

2017年7月—2018年5月,于西藏自治区昂仁县浪错采集268尾兰格湖裸鲤Gymnocypris chui开展种群年龄结构和生长特征研究。结果显示:雌、雄鱼体长与体质量的关系式分别为W♀=2.03×10-2L2.822(n=134,R2=0.969)、W♂=2.52×10-2L2.738(n=105,R2=0.966)。通过观察微耳石,发现样本由1~23龄组成;采用VonBertalanffy生长方程拟合雌、雄鱼体长、体质量生长方程:Lt♀=34.239[1-e-0.136(t+0.11)]、Wt♀=434.42[1-e-0.136(t+0.11)]2.822;Lt♂=32.201[1-e-0.136(t+0.287)]、Wt♂=338.8[1-e-0.136(t+0.287)]2.738;拐点年龄分别为7.52龄和7.12龄,对应体长分别为22.12cm和20.45cm,体质量分别为126.59g和97.71g。初步研究表明,兰格湖裸鲤生长慢、体型小,种群被破坏后不易恢复,亟待开展资源评估及保护工作。     

pH-induced conformational changes of the Fe(2+)-N epsilon (His F8) linkage in deoxyhemoglobin trout IV detected by the Raman active Fe(2+)-N epsilon (His F8) stretching mode.

To investigate heme-protein coupling via the Fe(2+)-N epsilon (His F8) linkage we have measured the profile of the Raman band due to the Fe(2+)-N epsilon (His F8) stretching mode (nu Fe-His) of deoxyHb-trout IV and deoxyHbA at various pH between 6.0 and 9.0. Our data establish that the band of this mode is composed of five different sublines. In deoxyHb-trout IV, three of these sublines were assigned to distinct conformations of the alpha-subunit (omega alpha 1 = 202 cm-1, omega alpha 2 = 211 cm-1, omega alpha 3 = 217 cm-1) and the other two to distinct conformations of the beta-subunit (omega beta 1 = 223 cm-1 and omega beta 2 = 228 cm-1). Human deoxyHbA exhibits two alpha-chain sublines at omega alpha 1 = 203 cm-1, omega alpha 2 = 212 cm-1 and two beta-chain sublines at omega beta 1 = 217 cm-1 and omega beta 2 = 225 cm-1. These results reveal that each subunit exists in different conformations. The intensities of the nu Fe-His sublines in deoxyHb-trout IV exhibit a significant pH dependence, whereas the intensities of the corresponding sublines in the deoxyHbA spectrum are independent on pH. This finding suggests that the structural basis of the Bohr effect is different in deoxyHbA and deoxyHb-trout IV. To analyse the pH dependence of the deoxyHb-trout IV sublines we have applied a titration model describing the intensity of each nu Fe-His subline as an incoherent superposition of the intensities from sub-sublines with the same frequency but differing intrinsic intensities due to the different protonation states of the respective subunit. The molar fractions of these protonation states are determined by the corresponding Bohr groups (i.e., pK alpha 1 = pK alpha 2 = 8.5, pK beta 1 = 7.5, pK beta 2 = 7.4) and pH. Hence, the intensities of these sublines reflect the pH dependence of the molar fractions of the involved protonation states. Fitting this model to the pH-dependent line intensities yields a good reproduction of the experimental data.(ABSTRACT TRUNCATED AT 400 WORDS)     

Escherichia coli RNA polymerase subunit omega and its N-terminal domain bind full-length beta' to facilitate incorporation into the alpha2beta subassembly.

The omega subunit of Escherichia coli RNA polymerase, consisting of 90 amino acids, is present in stoichiometric amounts per molecule of core RNA polymerase (alpha2betabeta'). The presence of omega is necessary to restore denatured RNA polymerase in vitro to its fully functional form, and, in an omega-less strain of E. coli, GroEL appears to substitute for omega in the maturation of RNA polymerase. The X-ray structure of Thermus aquaticus core RNA polymerase suggests that two regions of omega latch on to beta' at its N-terminus and C-terminus. We show here that omega binds only the intact beta' subunit and not the beta' N-terminal domain or beta' C-terminal domain, implying that omega binding requires both these regions of beta'. We further show that omega can prevent the aggregation of beta' during its renaturation in vitro and that a V8-protease-resistant 52-amino-acid-long N-terminal domain of omega is sufficient for binding and renaturation of beta'. CD and functional assays show that this N-terminal fragment retains the structure of native omega and is able to enhance the reconstitution of core RNA polymerase. Reconstitution of core RNA polymerase from its individual subunits proceeds according to the steps alpha + alpha --> alpha2 + beta --> alpha2beta + beta' --> alpha2betabeta'. It is shown here that omega participates during the last stage of enzyme assembly when beta' associates with the alpha2beta subassembly.     

The kinetics of chain exchange in two-chain coiled coils: alpha alpha- and beta beta-tropomyosin.

Measurements are presented on the time course of chain exchange among two-chain alpha-helical coiled coils of rabbit tropomyosin. All experiments are in a regime (temperature, protein concentration) in which coiled-coil dimers are the predominant species. Self-exchange in alpha alpha-tropomyosin was investigated by mixing alpha alpha species with alpha* alpha*, the asterisk designating an alpha-chain whose lone sulfhydryl (C190) has been blocked by carboxyamidomethylation. The overall process alpha alpha + alpha* alpha* in equilibrium with 2 alpha alpha* is followed by measurement of the fraction (h) of alpha alpha* species as a function of time. Similarly, self-exchange in beta beta-tropomyosin is examined by measurements of the overall process: beta beta + beta* beta* in equilibrium with 2 beta beta*, in which beta* signifies a beta-chain blocked at both sulfhydryls (C36 and C190). The observed time course for both chains is well fit by the first-order equation: h (t) = h (infinity) (1-e-k1t), with h (infinity) congruent to 0.5. This long-time limit is as expected for self-exchange, and agrees with experiments that attain equilibrium after slow cooling of thermally dissociated and unfolded chains. The simplest consonant mechanism is chain exchange by rate-limiting dissociation of dimers followed by random reassociation. Kinetic analysis shows k1 to be the rate constant for the chain dissociation step, a quantity not previously measured for any coiled coil. This rate constant for beta beta species is about an order of magnitude greater than for alpha alpha. In both, the activation enthalpy and entropy are very large, suggesting that activation to an extensively (greater than 50%) unfolded species necessarily precedes dissociation. Experiments are also reported for overall processes: alpha alpha + beta* beta* in equilibrium with 2 alpha beta* and alpha* alpha* + beta beta in equilibrium with 2 alpha* beta. Results are independent of which chain is blocked. Again h (infinity) congruent to 0.5, in agreement with equilibrium experiments, and the time course is first order. The rate constants and activation parameters are intermediate between those for self-exchange.     

Ontogenetic change in the relationship between metabolic rate and body mass in a sea bream Pagrus major (Temminck & Schlegel)

Ontogenetic changes in the relationship between resting rate of oxygen consumption and wet body mass were examined at 20° C with the sea bream Pagrus major ranging from 0.00020 g (weight just after hatching) to 270 g (weight at 530 days old). There was a triphasic relationship between oxygen consumption of an individual fish M (μl min⁻¹) and body mass W (g). During a very early stage (weight 0.00020–0.00025 g), corresponding to the pre-larval stage and with the transitional period to the post-larval stage, there was no substantial change in body mass. The mass–specific metabolic rate M/W (μl g⁻¹ min ¹) showed no clear relationship to body mass as expressed by the equation M/ W =4.86 + 1.47 D , where D is age in days. During the post-larval stage (weight 0.00031–0.005 g), M/W remained almost constant independent of body mass following the expression M = 12.5 W0 .949. During the juvenile and later stages (weight 0.005–270 g), M/ W decreased with increasing body mass following the expression M = 6.3 W ^0.821 which is significantly different from the expression for the post-larval stage ( P < 0.001). Ontogenetic changes in the metabolism-body mass relationship are discussed from the viewpoint of relative growth of organs with different metabolic activities.     

Synthesis, crystal structure, and molecular conformation of N-Boc-L-Phe-dehydro-Leu-L-Val-OCH3

The peptide N-Boc-L-Phe-dehydro-Leu-L-Val-OCH3 was synthesized by the usual workup procedure and finally by coupling the N-Boc-L-Phe-dehydro-Leu-OH to valine methyl ester. It was crystallized from its solution in methanol-water mixture at 4 degrees C. The crystals belong to the triclinic space group P1 with a = 5.972(5) A, b = 9.455(6) A, c = 13.101(6) A, alpha = 103.00(4) degrees, beta = 97.14(5) degrees, gamma = 102.86(5) degrees, V = 690.8(8) A, Z = 1, dm = 1.179(5) Mg m-3 and dc = 1.177(5) Mg m-3. The structure was determined by direct methods using SHELXS86. It was refined by block-diagonal least-squares procedure to an R value of 0.060 for 1674 observed reflections. The C alpha 2-C beta 2 distance of 1.323(9) A in dehydro-Leu is an appropriate double bond length. The bond angle C alpha-C beta-C gamma in the dehydro-Leu residue is 129.4(8) degrees. The peptide backbone torsion angles are theta 1 = -168.6(6) degrees, omega 0 = 170.0(6) degrees, phi 1 = -44.5(9) degrees, psi 1 = 134.5(6) degrees, omega 1 = 177.3(6) degrees, phi 2 = 54.5(9) degrees, psi 2 = 31.1(10) degrees, omega 2 = 171.7(6) degrees, phi 3 = 51.9(8) degrees, psi T3 = 139.0(6) degrees, theta T = -175.7(6) degrees. These values show that the backbone adopts a beta-turn II conformation. As a result of beta-turn, an intramolecular hydrogen bond is formed between the oxygen of the ith residue and NH of the (i + 3)th residue at a distance of 3.134(6) A.(ABSTRACT TRUNCATED AT 250 WORDS)     

Social selection in human populations: differential modification of the fitness by the sex of an affected parent

Social selection model of two alleles at a locus has been constructed where the fitness of offspring is modified differentially by the sex of an affected parent. It has been shown that the equilibrium frequency of deleterious alleles depends on the loss of fitness of an individual due to the trait (gamma), due to an affected mother (beta 1) and affected father (beta 2), and the probability that the heterozygote develops the trait (h). The equilibrium gene frequency is given approximately by alpha/hs for 0 less than h less than or equal to 1 and square root alpha/s for h = 0, where s = gamma + (beta 1 + beta 2) (1 - gamma)/2 for multiplicative models. The same result holds for the additive model if the value of gamma is small.     

Synthesis, crystal structure, and molecular conformation of peptide N-Boc-L-Pro-dehydro-Phe-L-Gly-OH

The peptide N-Boc-L-Pro-dehydro-Phe-L-Gly-OH was synthesized by the usual workup procedure and finally coupling the N-Boc-L-Pro-dehydro-Phe to glycine. The peptide crystallizes in monoclinic space group P2(1) with a = 8.951(4) A, b = 5.677(6) A, c = 21.192(11) A, beta = 96.97(4) degrees, V = 1069(1) A3, Z = 2, dm = 1.295(5) Mgm-3, and dc = 1.297(4) Mgm-3. The structure was determined by direct methods using SHELXS86. The structure was refined by the block-diagonal least-squares procedure to an R value of 0.074 for 1002 observed reflections. The C alpha 2-C beta 2 distance of 1.33(2) A is an appropriate double bond length. The angle C alpha 2-C beta 2-C gamma 2 is 133(1) degrees. The peptide backbone torsion angles are theta 1 = -167(1) degrees, omega 0 = 179(1) degrees, phi 1 = -48(1) degrees, psi 1 = 137(1) degrees, omega 1 = 175(1) degrees, phi 2 = 65(2) degrees, psi 2 = 15(2) degrees, omega 2 = -179(1) degrees, and phi 3 = -166(1) degrees. These values show that the Boc group has a trans-trans conformation while the peptide backbone adopts a beta-turn II conformation, which is stabilized by an intramolecular hydrogen bond of length of 3.05(1) A. The structures of dehydro-Phe containing peptides suggest that the dehydro-Phe promotes the beta-turn II conformation. The five-membered pyrrolidine ring of the Pro residue adopts an ideal C gamma-exo conformation with torsion angles chi 1(1) = -24(1) degrees, chi 2(1) = 34(1) degrees, chi 3(1) = -30(1) degrees, chi 4(1) = 15(1) degrees, and theta 0(1) = 6(1) degrees. The side-chain torsion angles in dehydro-Phe are chi 1(2) = -1(2) degrees, chi 2,1(2) = -176(1) degrees, and chi 2,2(2) = 8(2) degrees. The plane of C alpha 2-C beta 2-C gamma 2 is rotated with respect to the plane of the phenyl ring at 7(1) degrees, which indicates that the atoms of the side chain of dehydro-Phe are essentially coplanar. The molecules form a 2(1) screw axis related hydrogen-bonded rows along the b axis.     

Mathematical description of stress relaxation of bovine femoral cortical bone

In 1993 we proposed an empirical formula for describing the relaxation modulus of cortical bone based on the results of stress relaxation experiments performed for 1 x 10(5) sec: [E(t) = E0{A exp[ -(t/tau1)beta] + (1 - A) exp(-t/tau2)}, (0 < A, beta <1 and tau1 < tau2) where E0 is the initial value of the relaxation modulus, A is the portion of the first term, tau1 and tau2 are characteristic relaxation times, and beta is a shape factor [Sasaki et al., J. Biomechanics 26 (1993), 1369]. Although the relaxation properties of bone under various external conditions were described well by the above equation, recent experimental results have indicated some limitations in its application. In order to construct an empirical formula for the relaxation modulus of cortical bone that has a high degree of completeness, stress relaxation experiments were performed for 6 x 10(5) seconds. The second term in the equation was determined as an apparently linear portion in a log E(t) vs t plot at t>1 x 10(4) sec. The same plot for experiments performed for 6 x 10(5) seconds revealed that the linear portion corresponding to the second term was in fact a curve with a large radius of curvature. On the basis of this fact, we proposed a second improved empirical equation E(t) = E0{A exp [ -(t/tau1)beta] + (1 - A) exp[-(t/tau2)gamma]}, (0相似文献   

Social selection in human populations: sufficient conditions for protection of deleterious alleles in a subdivided population

Population dynamics of wild type (A1) and the deleterious genes (A2) under social selection have been studied by considering a subdivided population where the i-th subpopulation consists of Ni individuals with relative size ci (= Ni/sigma i Ni, i = 1,2, ..., n). A social selection model is constructed by assuming that the fitness of an individual is determined by its own as well as the parental phenotypes and that the number of migrants (M) from the ith subpopulation is divided equally into other subpopulations including the ith subpopulation itself. It has been shown that the gene frequency change depends on the loss of fitness of an individual due to the trait (gamma), an affected parent in the ith subpopulation (beta i), the probability that the heterozygote develops the trait (h), and the migration rates mi (= M/Ni). For 0 less than h less than or equal to 1, a sufficient condition for protection of the deleterious allele from extinction also depends on all of these parameters. However, when mi much less than 1 for all i, the condition is beta i less than gamma/(1 - gamma) for some i, whereas when mi much greater than h[gamma + beta i(1 - gamma)] for all i it is given by sigma i ci beta i less than -gamma/(1 - gamma). When h = 0, that condition is given by sigma ici beta i less than - gamma/(1 - gamma). Analyses also show that, when the deleterious alleles in a population are rare, the relative fitnesses of A1A1, A1A2, and A2A2 are given approximately by 1, 1-hS, and 1 - S, respectively, where S is the harmonic mean of Si = gamma + beta i(1 - gamma). Thus, under mutation-selection balance, the equilibrium frequency of deleterious alleles in the entire population is given by alpha/hS for 0 less than h less than or equal to 1 and square root alpha/S for h = 0, where alpha is the irreversible mutation rate from A1 to A2 in each generation. Population dynamics of rare deleterious genes under social selection can readily be studied by considering a finite population size.     

Preferential assembly of the tropomyosin heterodimer: equilibrium studies

Thermal unfolding/refolding studies of the three tropomyosin dimers, alpha alpha, alpha beta, and beta beta, from chicken gizzard muscle were performed to explain the preferential assembly of alpha- and beta-tropomyosin subunits into heterodimers, alpha beta [Lehrer, S. S., & Qian, Y. (1989) J. Biol. Chem. 265, 1134]. Circular dichroism measurements showed that all three dimers unfolded in cooperative reversible transitions with T1/2 = 40.0 degrees C and delta H degrees = 162 kcal/mol for alpha alpha and with T1/2 = 42.6 degrees C and delta H degree = 98 kcal/mol for beta beta at 0.4-0.5 microM concentrations. Fluorescence measurements on pyrenyliodoacetamide-labeled tropomyosin showed that (i) excimer fluorescence decreases in parallel with unfolding of homodimers, (ii) at physiological temperature, heterodimers are formed from micromolar mixtures of homodimers over a period of minutes, and (iii) heterodimers unfold/refold with temperature without appreciable formation of homodimers. To understand the preferential formation of alpha beta, we calculated the concentrations of all species present as a function of temperature for equal total amounts of alpha and beta, using the measured thermodynamic constants of the unfolding/dissociation equilibria for alpha alpha and beta beta. Values for delta H degrees = 225 kcal/mol and T1/2 = 43 degrees C for unfolding of alpha beta at 0.5 microM concentration were obtained from the best fit of the calculations to the measured helical content vs temperature of alpha beta.(ABSTRACT TRUNCATED AT 250 WORDS)     

Glucose uptake during centrally induced stress is insulin independent and enhanced by adrenergic blockade.

Glucose utilization increases markedly in the normal dog during stress induced by the intracerebroventricular (ICV) injection of carbachol. To determine the extent to which insulin, glucagon, and selective (alpha/beta)-adrenergic activation mediate the increment in glucose metabolic clearance rate (MCR) and glucose production (R(a)), we used five groups of normal mongrel dogs: 1) pancreatic clamp (PC; n = 7) with peripheral somatostatin (0.8 microg x kg(-1) x min(-1)) and intraportal replacement of insulin (1,482 +/- 84 pmol x kg(-1) x min(-1)) and glucagon (0.65 ng x kg(-1) x min(-1)) infusions; 2) PC plus combined alpha (phentolamine)- and beta (propranolol)-blockade (7 and 5 microg x kg(-1) x min(-1), respectively; alpha+beta; n = 5); 3) PC plus alpha-blockade (alpha; n = 6); 4) PC plus beta-blockade (beta; n = 5); and 5) a carbachol control group without PC (Con; n = 10). During ICV carbachol stress (0-120 min), catecholamines, ACTH, and cortisol increased in all groups. Baseline insulin and glucagon levels were maintained in all groups except Con, where glucagon rose 33%, and alpha, where insulin increased slightly but significantly. Stress increased (P < 0.05) plasma glucose in Con, PC, and alpha but decreased it in beta and alpha+beta. The MCR increment was greater (P < 0.05) in beta and alpha+beta than in Con, PC, and alpha. R(a) increased (P < 0.05) in all groups but was attenuated in alpha+beta. Stress-induced lipolysis was abolished in beta (P < 0.05). The marked rise in lactate in Con, PC, and alpha was abolished in alpha+beta and beta. We conclude that the stress-induced increase in MCR is largely independent of changes in insulin, markedly augmented by beta-blockade, and related, at least in part, to inhibition of lipolysis and glycogenolysis, and that R(a) is augmented by glucagon and alpha- and beta-catecholamine effects.