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1.
The kinetics of biosynthesis of polypeptides on polyribosomes is analyzed in accordance with a simple mathematical model. Each ribosome is assumed to block L adjacent. (m-RNA) template sites but to move a distance of one, and only one, template site (nucleotide triplet) upon the addition of each monomer unit to the growing polypeptide chain bound to it. Solutions are sought, for the probability, nj(t), that a template possesses, at time t, a polypeptide chain that has reached degree of polymerization j. Several classes of steady-state solutions are obtained via machine computation. These correspond to various choices of relative rates of initiation, polymerization along templates, and termination (release of completed chains from templates). Experimental data available from radioactive pulse labeling experiments are discussed. The data obtained by Dintzis, and by Winslow and Ingram, in studies of the synthesis of the α chain of rabbit hemoglobin and human hemoglobin, respectively, are consistent with steady-state solutions obtained from the current theoretical calculations when the rates of initiation and termination are of comparable magnitude and rate-determining. In this case, a (relatively) small number of chains are polymerized at a (relatively) fast rate each near the beginning of the template, and there exists a transition to a situation near the end of the template in which a (relatively) large number of chains are polymerized at a (relatively) slow rate each. For this solution the situation near the end of the template is entirely analogous to a traffic jam in automobile traffic.  相似文献   

2.
For any essentially nonlinear system of reaction-diffusion equations of the generic form ∂ci/∂t=Di2ci+Qi(c,x,t) supplemented with Robin type boundary conditions over the surface of a closed bounded three-dimensional region, it is demonstrated that all solutions for the concentration distributionn-tuple function c=(c 1(x,t),...,c n (x,t)) satisfy a differential variational condition. Approximate solutions to the reaction-diffusion intial-value boundary-value problem are obtainable by employing this variational condition in conjunction with a Galerkin-Ritz procedure. It is shown that the dynamical evolution from a prescribed initial concentrationn-tuple function to a final steady-state solution can be determined to desired accuracy by such an approximation method. The variational condition also admits a systematic Galerkin-Ritz procedure for obtaining approximate solutions to the multi-equation elliptic boundary-value problem for steady-state distributions c=−c(x). Other systems of phenomenological (non-Lagrangian) field equations can be treated by Galerkin-Ritz procedures based on analogues of the differential variational condition presented here. The method is applied to derive approximate nonconstant steady-state solutions for ann-species symbiosis model.  相似文献   

3.
Thioesters of α-amino acids are considered as plausible monomers for the generation of the primeval peptides. DL-Leucine-thioethyl esters (LeuSEt), where the L-enantiomer was tagged with deuterium atoms, undergo polycondensation in water or in bicarbonate or imidazole buffer solutions to yield mainly heterochiral (atactic) peptides and diketopiperazine, as analyzed by MALDI-TOF and ESI mass-spectrometry. In variance, when polymerization of DL(d10)-Leu, first activated with N,N′-carbonyldiimidazole, then initiated with ethanethiol or with DL(d3)-LeuSEt yielded a library of peptides up to 30 detectable residues where those of homochiral sequence (isotactic) are the dominant diastereoisomers. At these conditions, racemic β-sheets are formed and operate as stereoselective templates in the process of chain-elongation. Isotopic L:L(d10)-Leu co-peptides were obtained in the polymerization of L(d10)-Leu with L-LeuSEt. By contrast, mixtures of oligo-D-Leu and oligo-L(d10)-Leu were obtained in the polymerization of mixtures of D-LeuSEt with activated L(d10)-Leu. Isotactic co-peptides containing Leu and Val residues were formed in the polymerization of mixtures of activated DL(d8)-Val with DL(d3)-LeuSEt in water, implying that the racemic β-sheets exert regio-enantio-selection but not chemo-selection. A reaction pathway is suggested, where LeuSEt operates both as initiator of the reaction as well as a multimer.  相似文献   

4.
The continuous affinity-recycle extraction (CARE) process of specifie elution with low molecular weight competitive inhibitor is mathematically modelled taking into account the presence of membrane rejections to the components in a crude broth. The process performance, defined as purification factor (PF) and recovery yield (REC), is analyzed by computer simulations. The results show that for constant affinity systems (ligate and ligand as well as inhibitor) and operating conditions an optimal value of the inhibitor concentration exists to give maxima of REC and PF, and the optimal value decreases with the increase of the affinity binding constant of ligate and inhibitor. Although the increase in affinity-recycle flow rate results in the decrease of PF, an optimal value of the affinity-recycle flow rate exists to show a maximum of REC. Hence in the process design the selection of the affinity-recycle flow rate is also of importance to obtain higher REC and PF simultaneously. The consideration of membrane rejections will in practice be useful to analyse the separation of a binary broth using ultrafiltration membranes which reject to the components. For a multicomponent broth, however, membranes without rejection to all components should be employed to simplify the process design and optimization. In general, the model is useful to design a CARE process using nonporous microparticles or macromolecules as affinity supports.List of Symbols C i mol/l contaminant concentration in feed - C 01 mol/l contaminant concentration in waste stream - C 02 mol/l contaminant concentration in product stream - e i mol/l ligate concentration in feed - e j mol/l free ligate concentration in Con. j - E lj mol/l concentration of ligate bound to ligand in Con. - E oj mol/l ligate concentration in waste (j=1) or product (j=2) stream - E tj mol/l total ligate concentration in Con. j - E xj mol/l concentration of ligate bound to inhibitor in Con. j - F e l/s eluant flow rate - F i l/s feed flow rate - F oj l/s flow rate of waste (j=1) or product (j=2) stream - F r l/s affinity-recycle flow rate - f j affinity binding fraction of ligate to ligand in Con. - j index for container No., j=1 for Con. 1 and j=2 for Con. 2 - k l l/mol affinity binding constant of ligate and ligand - K x l/mol affinity binding constant of ligate and inhibitor - L o mol/l total ligand concentration in both containers - L j mol/l free ligand concentration in Con. j - PF purification factor - REC% recovery yield - R j rejection coefficient of total ligate in Con. j - R m membrane rejection coefficient of free ligate - R mc membrane rejection coefficient of contaminant - r e ratio of eluant to feed flow rate - r r ratio of affinity-recycle to feed flow rate - X oj mol/l inhibitor concentration in waste (j=1) or product (j=2) stream - X ej mol/l concentration of inhibitor bound to ligate in Con. j - X i mol/1 inhibitor concentration in eluant feed - X j mol/l free inhibitor concentration in Con. j - X tj mol/l total inhibitor concentration in Con. j The project is sponsored by the National Natural Science Foundation of China, 21st Century Science Foundation for Youth, Tianjin, and the Foundation of the State Education Commission of China.  相似文献   

5.
《Inorganica chimica acta》1986,118(2):179-185
Successful syntheses of the first examples of homodinuclear macrocyclic lanthanide complexes are reported. The complexes were obtained as compounds of the 2:2 Schiff base formed by condensing 2,6-diformyl-p-cresol and triethylenetetramine (L7) by a template procedure using lanthanide nitrates and perchlorates. When reactant methanolic solutions were concentrated the complexes were deposited as yellow or orange microcrystalline precipitates, Ln2L7(NO3)4sigma; nH2O or Ln2L7(NO3)4tau; x(OH)x, x = 1 or 2, whereas solutions diluted three times deposited complexes as flaky off-white crystalline precipitates of light lanthanides. The orange Ln2L7(NO3)2(OH)2 complexes can be converted in quantitative yield to the off-white flaky form of Ln2L7(NO3)4sigma; nH2O by refluxing them in methanolic solution containing triethylenetetramine and a three-fold excess of Ln(NO3)3. The complexes were characterized by elemental analysis, fast atom bombardment mass spectrometry, UV-Vis and infrared spectroscopy and thermogravimetry. Interesting and mostly new polyatomic oxo clusters, e.g. Ln2O3+, Ln3O4+, Ln4O6+, Ln5O7+, were dominant in the mass spectra but are treated in detail elsewhere.  相似文献   

6.
Osmotically driven water flow, u (cm/s), between two solutions of identical osmolarity, co (300 mM in mammals), has a theoretical isotonic maximum given by u = j/co, where j (moles/cm2/s) is the rate of salt transport. In many experimental studies, transport was found to be indistinguishable from isotonic. The purpose of this work is to investigate the conditions for u to approach isotonic. A necessary condition is that the membrane salt/water permeability ratio, ε, must be small: typical physiological values are ε = 10−3 to 10−5, so ε is generally small but this is not sufficient to guarantee near-isotonic transport. If we consider the simplest model of two series membranes, which secrete a tear or drop of sweat (i.e., there are no externally-imposed boundary conditions on the secretion), diffusion is negligible and the predicted osmolarities are: basal = co, intracellular ≈ (1 + ε)co, secretion ≈ (1 + 2ε)co, and u ≈ (1 − 2ε)j/co. Note that this model is also appropriate when the transported solution is experimentally collected. Thus, in the absence of external boundary conditions, transport is experimentally indistinguishable from isotonic. However, if external boundary conditions set salt concentrations to co on both sides of the epithelium, then fluid transport depends on distributed osmotic gradients in lateral spaces. If lateral spaces are too short and wide, diffusion dominates convection, reduces osmotic gradients and fluid flow is significantly less than isotonic. Moreover, because apical and basolateral membrane water fluxes are linked by the intracellular osmolarity, water flow is maximum when the total water permeability of basolateral membranes equals that of apical membranes. In the context of the renal proximal tubule, data suggest it is transporting at near optimal conditions. Nevertheless, typical physiological values suggest the newly filtered fluid is reabsorbed at a rate u ≈ 0.86 j/co, so a hypertonic solution is being reabsorbed. The osmolarity of the filtrate cF (M) will therefore diminish with distance from the site of filtration (the glomerulus) until the solution being transported is isotonic with the filtrate, u = j/cF.With this steady-state condition, the distributed model becomes approximately equivalent to two membranes in series. The osmolarities are now: cF ≈ (1 − 2ε)j/co, intracellular ≈ (1 − ε)co, lateral spaces ≈ co, and u ≈(1 + 2ε)j/co. The change in cF is predicted to occur with a length constant of about 0.3 cm. Thus, membrane transport tends to adjust transmembrane osmotic gradients toward εco, which induces water flow that is isotonic to within order ε. These findings provide a plausible hypothesis on how the proximal tubule or other epithelia appear to transport an isotonic solution.  相似文献   

7.
When the number of tumors is small, a significance level for the Cox-Mantel (log-rank) test Z is often computed using a discrete approximation to the permutation distribution. For j = 0,…, J let Nj(t) be the number of animals in group j alive and tumor-free at the start of time t. Make a 2 × (1+J) table for each time t of the number of animals Rj(t) with newly palpated tumor out of the total Nj(t) at risk. There are a total of say K tables, one for each distinct time t with observed death or newly palpated tumor. The usual discrete approximation to the permutation distribution of Z is defined by taking tables to be independent with fixed margins Nj(t) and ΣRj(t) for all t. However, the Nj(t) are random variables for the actual permutation distribution of Z, resulting in dependence among the tables. Calculations for the exact permutation distribution are explained, and examples are given where the exact significance level differs substantially from the usual discrete approximation. The discrepancy arisis primarily because permutations with different Z-scores under the exact distribution can be equal for the discrete approximation, inflating the approximate P-value.  相似文献   

8.
9.
To assess whether alterations in membrane fluidity of neonatal rat heart cells modulate gap junctional conductance (g j ), we compared the effects of 2mm 1-heptanol and 20 μm 2-(methoxyethoxy)ethyl 8-(cis-2-n-octylcyclopropyl)-octanoate (A2C) in a combined fluorescence anisotropy and electrophysiological study. Both substances decreased fluorescence steady-state anisotropy (rss), as assessed with the fluorescent probe 1-(4-trimethylammoniumphenyl)-6-phenyl-1,3,5-hexatriene (TMA-DPH) by 9.6±1.1% (mean ±sem,n=5) and 9.8±0.6% (n=5), respectively, i.e., both substances increased bulk membrane fluidity. Double whole-cell voltage-clamp experiments showed that 2mm heptanol uncoupled cell pairs completely (n=6), whereas 20 μm A2C, which increased bulk membrane fluidity to the same extent, did not affect coupling at all (n=5). Since gap junction channels are embedded in relatively cholesterol-rich domains of the membrane, we specifically assessed the fluidity of the cholesterol-rich domains with dehydroergosterol (DHE). Using DHE, heptanol increased rss by 14.9±3.0% (n=5), i.e., decreased cholesterol domain fluidity, whereas A2C had no effect on rss (−0.4±6.7%,n=5). Following an increase of cellular “cholesterol” content (by loading the cells with DHE), 2mm heptanol did not uncouple cell pairs completely:g j decreased by 80±20% (range 41–95%,n=5). The decrease ing j was most probably due to a decrease in the open probability of the gap junction channels, because the unitary conductances of the channels were not changed nor was the number of channels comprising the gap junction. The sensitivity of non-junctional membrane channels to heptanol was unaltered in cholesterol-enriched myocytes. These results indicate that the fluidity of cholesterol-rich domains is of importance to gap junctional coupling, and that heptanol decreasesg j by decreasing the fluidity of cholesterol-rich domains, rather than by increasing the bulk membrane fluidity.  相似文献   

10.
An inulinase was highly purified from the culture broth of Penicillium purpurogenum by chromatographies on DEAE-Sepharose CL-6B, Toyopearl HW-65, and Bio-Gel P-100. The enzyme was homogeneous by disc electrophoretic analysis. The molecular weight was 6.4 × 104 by SDS-disc electrophoresis and gel filtration on Bio-Gel P-150. The isoelectric point was pH 3.6 by isoelectric focusing. The enzyme hydrolyzed inulin rapidly, but did not affect sucrose. By paper chromatography analysis, the major products from inulin were tri-, tetra-, penta-, and hexa-saccharides. The substrate specificity of the enzyme on hydrolyses of fructo-oligosaccharides[1F(1-β-d-fructofuranosyl)n sucrose (n = 1 to 6 and n (average of polymerization degree) = 8)] were examined. The Km values and relative maximum velocities for the hydrolyses of inulin and fructo-oligosaccharides (GFn, n = 2 to 7 and n = 9) were as follows: inulin, (DP = 35) 0.21 mM and 100; GF9, 0.24 mM and 86.5; GF7, 0.33 mM and 132; GF6, 0.85 mM and 71.2; GF5, 3.8 mM and 25.4; GF4, 2.8 mM and 28.8; GF3, (nystose) 16 mM and 0.8; GF2 (1-kestose), 8.4 mM and 0.2. The molecular activities for the hydrolyses of fructo-oligosaccharides (GFn, n = 2 to 6) were increased depending on the degree of polymerization of fructosyl residues, and were nearly constant if the polymerization degree was over seven. These results strongly suggested that the endo-type inulinase from Penicillium purpurogenum had a subsite structure consisting of at least seven subsites.  相似文献   

11.
The effects of aliphatic hydrocarbons (n-hexadecane andn-dodecane) on the volumetric oxygen mass transfer coefficient (k L a) were studied in flat alveolar airlift reactor and continuous stirred tank reactors (CSTRs). In the flat alveolar airlift reactor, high aeration rates (>2 vvm) were required in order to obtain efficient organic-aqueous phase dispersion and reliablek L a measurements. Addition of 1% (v/v)n-hexadecane orn-dodecane increased thek l a 1.55-and 1.33-fold, respectively, compared to the control (superficial velocity: 25.8×10−3 m/s, sparger orifice diameter: 0.5 mm). Analysis of the gas-liquid interfacial areaa and the liquid film mass transfer coefficientk L suggests that the observedk L a increase was a function of the media's liquid film mass transfer. Addition of 1% (v/v)n-hexadecane orn-dodecane to analogous setups using CSTRs led to ak L a increase by a factor of 1.68 and 1.36, respectively (superficial velocity: 2.1×10−3 m/s, stirring rate: 250 rpm). These results propose that low-concentration addition of oxygen-vectors to aerobic microbial cultures has additional benefit relative to incubation in purely aqueous media.  相似文献   

12.
Eight lanthanide–copper coordination polymers of linear rigid 4-(4-pyridyl)benzoate(L1) and isonicotinate(L2), [LnCuI(L1)2(OAc) (H2O)]n (Ln = Pr, 1; Nd, 2; Sm, 3; Eu, 4; Gd, 5), [Ln2Cu4I3(L2)7 (H2O)]n (Ln = La, 6; Pr, 7), and [Nd2Cu7I6(L2)7 (H2O)6]n·2.5nH2O (8), were hydrothermally synthesized and structurally characterized by single-crystal X-ray diffraction. The three-dimensional frameworks of 15 can be described as wave-like layer modules of [Ln(L1)2(OAc)(H2O)]n linking with each other through dimeric units of Cu2I2, whereas that of compounds 6 and 7 are constructed by layer modules of and Cu4I3 clusters. As for 8, dimeric units of Nd2(L2)7(H2O)6 connect layered polymeric forming a 3D framework.  相似文献   

13.
A new class of polydentate Mannich bases featuring an N2S2 donor system, bis((2-mercapto-N-phenylacetamido)methyl)phosphinic acid H3L1 and bis((2-mercapto-N-propylacetamido)methyl)phosphinic acid H3L2, has been synthesised from condensation of phosphinic acid and paraformaldehyde with 2-mercaptophenylacetamide W1 and 2-mercaptopropylacetamide W2, respectively. Monomeric complexes of these ligands, of general formula K2[CrIII(Ln)Cl2], K3[M′II(Ln)Cl2] and K[M(Ln)] (M′ = Mn(II) or Fe(II); M = Co(II), Ni(II), Cu(II), Zn(II), Cd(II) or Hg(II); n = 1, 2) are reported. The structures of new ligands, mode of bonding and overall geometry of the complexes were determined through IR, UV–Vis, NMR, and mass spectral studies, magnetic moment measurements, elemental analysis, metal content, and conductance. These studies revealed octahedral geometries for the Cr(III), Mn(II) and Fe(II) complexes, square planar for Ni(II) and Cu(II) complexes and tetrahedral for the Co(II), Zn(II), Cd(II) and Hg(II) complexes. Complex formation studies via molar ratio in DMF solution were consistent to those found in the solid complexes with a ratio of (M:L) as (1:1).  相似文献   

14.
Studies in tower reactors with viscous liquids on flow regime, effective shear rate, liquid mixing, gas holdup and gas/ liquid mass transfer (k La) are reviewed. Additional new data are reported for solutions of glycerol, CMC, PAA, and xanthan in bubble columns with diameters of 0.06, 0.14 and 0.30 m diameter. The wide variation of the flow behaviour index (1 to 0.18) allows to evaluate the effective shear rate due to the gas flow. New dimensionless correlations are developed based on the own and literature data, applied to predict k La in fermentation broths, and compared to other reactor types.List of Symbols a(a) m–1 specific interfacial area referred to reactor (liquid) volume - Bo Bond number (g D c 2 L/) - c L(c L * ) kmol m–3 (equilibrium) liquid phase oxygen concentration - C coefficient characterising the velocity profile in liquid slugs - C s m–1 coefficient in Eq. (2) - d B(dvs) m bubble diameter (Sauter mean of d B) - d 0 m diameter of the openings in the gas distributor plate - D c m column diameter - D L m2s–1 diffusivity - E L(EW) m2 s–1 dispersion coefficient (in water) - E 2 square relative error - Fr Froude number (u G/(g Dc)0.5) - g m s–2 gravity acceleration - Ga Gallilei number (g D c 3 L 2 / eff 2 ) - h m height above the gas distributor the gas holdup is characteristic for - k Pasn fluid consistency index (Eq. 1) - k L m s–1 liquid side mass transfer coefficient - k La(kLa) s–1 volumetric mass transfer coefficient referred to reactor (liquid) volume - L m dispersion height - n flow behaviour index (Eq. 1) - P W power input - Re liquid slug Reynolds number ( L(u G +u L) D c/eff) - Sc Schmidt number ( eff/( L D L )) - Sh Sherwood number (k La D c 2 /DL) - t s time - u B(usw) m s–1 bubble (swarm) rise velocity - u G(uL) m s–1 superficial gas (liquid) velocity - V(VL) m3 reactor (liquid) volume Greec Symbols W m–2 K–1 heat transfer coefficient - y(y eff) s–1 (effective) shear rate - G relative gas holdup - s relaxation time of viscoelastic liquid - L(eff) Pa s (effective) liquid viscosity (Eq. 1) - L kg m–3 liquid density - N/m surface tension  相似文献   

15.
A series of PTH hybrids containing a diamine [NH2(CH2) n NH2; n = 4, 5, 6] in the C-terminal position was synthesized based on the H-Aib-Val-Aib-Glu-Ile-Gln-Leu-Nle-His-Gln-Har-NH2 (Har = homoarginine) template. The compounds were pharmacologically characterized at PTH1R receptors for agonist activity.  相似文献   

16.
The steady-state fluorescence anisotropy r has been measured at 25°C for dilute solutions of epicatechin units connected by interflavan bonds with 4β → 8 stereochemistry. The molecules studied are monodisperse oligomers from the monomer through the hexamer, and a polydisperse sample with a number-average degree of polymerization xn of 10. The hexamer and smaller oligomers have been removed from the polydisperse sample. All samples have a very small value of r in 1,4-dioxane and in methanol. Higher values of r are seen in ethylene glycol and in glycerol. In the latter two solvents, the monomer has significantly higher r than any species with xn > 1. This observation is interpreted as evidence for the presence of excitation migration from one monomer to another in the dimer and species of higher xn.  相似文献   

17.
A new class of asymmetric N-capped (dianionic/trianionic) tripodal proligands [Hx(Ln)] (x = 2, n = 1-6; x = 3, n = 7, 8) which possess pendant arms with N2OS, N2S2 or NOS2 donor groups and with different chelate ring sizes {5,5,5} or {5,6,5} has been prepared. Treatment of these ligands with [WO2Cl2(dme)] (dme = 1,2-dimethoxyethane) in the presence of base (triethylamine or KOH) leads to the formation of cis-dioxotungsten(VI) complexes of the types [WO2(Ln)] (n = 1-6) and K[WO2(Ln)] (n = 7, 8). Reaction of these tetradentate ligands with [MoO2(acac)2] (acac = acetylacetonate) gives the corresponding Mo(VI) analogues [MoO2(Ln)] (n = 1-6) and K[MoO2(Ln)] (n = 7, 8). Moreover, a new five coordinate dioxomolybdenum(VI) complex with an NS2 tridentate ligand [MoO2(L9)] has been synthesised using similar procedure. All these compounds have been spectroscopically characterised and the molecular structures of [MoO2(Ln)] (n = 2, 6) and [WO2(L6)] have been established by X-ray diffraction analysis. The electrochemistry and the catalytic activity for oxidation of allylic and benzylic alcohols of these dioxo complexes have also been investigated.  相似文献   

18.
The properties of triple-helix formation of (Pro-Pro-Gly)n were studied. The probability of hybridization between the polytripeptides (Pro-Pro-Gly)n, of different degrees of polymerization was investigated by gel filtrations of mixed solutions of them. Using samples selectively labeled with radioactivity, the elution pattern was detected by uv absorption and liquid scintillation counting. The hybridization was found only when the difference of polymerization is small. The amount of heterohelices (triple helices of the polypeptide chains with different degrees of polymerization) measured by integrated intensity of elution pattern was comparable to the theoretical value of Suezaki and Go. Concentration dependence of the helix–coil transition temperature of (Pro-Pro-Gly)n was also measured by the use of optical rotation and discussed with the theoretically expected values.  相似文献   

19.
Gap junction channels are gated by a chemical gate and two transjunctional voltage (V j)-sensitive gates: fast and slow. Slow V j gate and chemical gate are believed to be the same. The slow gate closes at the negative side of V j and is mostly inactive without uncouplers or connexin (Cx) mutations. In contrast, our present data indicate otherwise. Oocytes expressing Cx32 were subjected to series of −100 mV V j pulses (12-s duration, 30-s intervals). Both peak (PK) and steady-state (SS) junctional conductances (G j), measured at each pulse, decreased exponentially by 50−60% (tau = ∼1.2 min). G jPK dropped more dramatically, such that G jSS/G jPK increased from 0.4 to 0.6, indicating a drop in V j sensitivity. Less striking effects were obtained with –60 mV pulses. During recovery, G j, measured by applying 20 mV pulses (2-s duration, 30-s intervals), slowly returned to initial values (tau = ∼7 min). With reversal of V j polarity, G jPK briefly increased and G jSS/G jPK decreased, suggesting that V j-dependent hemichannel reopening is faster than hemichannel closing. Similar yet more dramatic results were obtained with COOH-terminus truncated Cx32 (Cx32-D225), a mutant believed to lack fast V j gating. The data indicate that the slow gate of Cx32 is active in the absence of uncouplers or mutations and displays unusual V j behavior. Based on previous evidence for direct calmodulin (CaM) involvement in chemical/slow gating, this may also be CaM-mediated.  相似文献   

20.
The decay constants (k j ) of the equation of inert gas exchanges are the roots of an algebraic equation of degreen+1, wheren is the number of distinct absorbing tissues. The coefficients of this equation can be obtained numerically by certain independent experiments to measure the tissue parameters. Graphical solution of this equation yields theoretical values of thek j . Combining these constants with the numerical values for the partial derivatives of thek j then gives the per cent rate of change of thek j as any one tissue parameter varies by a given fraction of its normal range. A numerical example of these calculations shows good conformity with experiment, and permits a quantitative estimate of variations in the speed of gas exchange from a knowledge of changes in the physiological state. The opinions expressed in this article are the private ones of the writers, and are not to be construed as reflecting the policies of the Navy Department or the Naval Service at large.  相似文献   

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