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1.
生化反应中一类三次系统的极限环   总被引:1,自引:0,他引:1  
研究生化反应中一类三次系统:dx/dt=-x-Ф1(x)+yФ2(x),dy/dt=a0+Ф1(x)-yФ2(x)其中Ф1(x)=Ax^3+ax^2+bx+B,Ф2(x)=cx^2+dx+e.较完整地解决了该系统极限环的存在性,唯一性与不存在性等问题.  相似文献   

2.
功能反应函数为kxθ的食饵-捕食系统的定性分析   总被引:1,自引:0,他引:1  
杨柳 《生物数学学报》2007,22(3):441-446
研究了具功能反应的一类食饵-捕食系统:x=x(a—bx^m-h(x))(z))-kx^θY,y=Y(-e+dkx^θ)(0〈θ≤1)并得到了系统在正平衡点外围的极限环的不存在性与存在唯一性的相关条件.  相似文献   

3.
本文运用Liapunov第二方法,论证了功能反应函数为x~(1/x)的食饵-捕食系统x=x-ax-2~3-x~(1/x)y,βy=-sy βx~(1/x)y-εy~2唯一正平衡点的稳定性.其次将该系统化为二次微分系统Ⅲ类方程的标准形式,进而研究了极限环的存在唯一性问题.  相似文献   

4.
一类具功能反应的食饵-捕食者两种群模型的定性分析   总被引:66,自引:5,他引:61  
研究了具功能反应的食饵-捕食者两种群模型:x=xg(x)-yф(x),y=y(-d eф(x))。在g(x)和ф(x)都是非线性情形下,讨论了该系统的平衡点的性态,并证明了极限环的存在性与唯一性及其全局稳定性。  相似文献   

5.
一类KOLMOGOROV系统的极限环   总被引:7,自引:0,他引:7  
关于两种群互相作用的Kolmogorov模型 x=xF_1(x,y), y=yF_2(x,y),文〔1〕根据生态意义对F_1、F_2给出较多限制条件下作过研究,由于现实中总结出的模型归结到F_1、F_2为x和y的多项式的形式不少〔2,3〕,本文讨论一类Kolmogorov系统x=x(a_0+a_1x-a_3x~2+a_2y+a_4xy),y=y(x-1) (1)极限环的存在性和唯一性,其中x和y分别表示两种群的密度,参数a_0>o,a_3>o,a_1、a_2、a_4不定号,它们各表示一定的生态意义,随不同的取值范围而反映两种群的不同作用〔1〕。  相似文献   

6.
一类具功能反应的食饵-捕食者模型的定性分析   总被引:3,自引:0,他引:3  
对一类具功能反应的食饵-捕食者模型:x=xg(x)-yφ(x),y=y(-d+eφ(x))进行了研究,讨论了该系统平衡点的性态,系统无环的充分条件及正平衡点外围存在唯一稳定极限环的条件.  相似文献   

7.
一类被开发的捕食系统的定性分析   总被引:11,自引:1,他引:10  
讨论了一类食饵种群被开发的两种群捕食系统: dx/dt=x(a0+a1x-a2x2-a3y3)-h0, dy/dt=y(x-1)其中a0>0,a2>0,a3>0,h0>0,a1不定号.文中主要讨论了系统平衡点的行为以及系统的稳定性.用Pioncare切性曲线法及Dulac函数法讨论闭轨不存在的充分条件;用Hopf分支方法及张芷芬唯一性定理证明了极限环的存在性与唯一性.同时对相应结论的生态学意义给予了说明.  相似文献   

8.
一类具功能反应的食饵-捕食者两种群模型的定性分析   总被引:32,自引:4,他引:28  
对具功能反应的食饵-捕食者两种群模型x=xg(x)-y( )(x),y=y(-d+e( )(x)).在g(x)=α-baα,( )(x)=cxα(a,b,c>0,1/2≤α<1)且α使函数f(x)=x1/a在(-∞,+∞)上为偶函数时进行了研究,讨论了该系统平衡点的稳定性态,系统无环的充分条件以及在正平衡点外围存在惟一稳定极限环的条件.  相似文献   

9.
一类稀疏效应下的捕食系统存在唯一极限环的充要条件   总被引:12,自引:0,他引:12  
给出了如下一类稀疏效应下的捕食系统:x=bx^2k-x)-bxy,y=-cy (βx-γy)y存在唯一极限环的充要条件。  相似文献   

10.
一类含单奇点的极限环的三次系统   总被引:1,自引:0,他引:1  
盖平 《生物数学学报》2003,18(4):445-447
证明具体三次系统x=y-εy~3,y=x(1-x~2)+(α-x~2)y,当α≥1或0<α≤1/3时,在区域|y|<1/ε~(1/2)内无含单奇点的极限环,这里ε>0.  相似文献   

11.
The conductance changes, gK(t) and gNa(t), of squid giant axon under voltage clamp (Hodgkin and Huxley, 1952) may be modeled by exponentiated exponential functions (Gompertz kinetics) from any holding potential VO to any membrane clamp potential V. The equation constants are set by the membrane potential V, and include, for any voltage step in the case of gK, the initial conductance, gO, the asymptote conductance g, and rate constant k: gK = g exp(-be-kt) where b = 1n g/gO. Equations of similar form relate g and k to the voltage V, and govern the corresponding parameters of the gNa system. For the gNa, the fast phase y = y exp (-be-kt) is cut down in proportion to a slow process p = (1 - p)e-k't + p, and thus gNa = py. The expo-exponential functions involve fewer constants than the Hodgkin-Huxley model. In particular, the role of the n, m, h parameters appears to be filled largely by 1n (g/gO) in the case of gK and by 1n (y/yO) in the case of gNa. Membrane action potentials during current clamp may be computed from the conductances generated by use of the appropriate differential forms of the equations; diverse other membrane behaviors may be predicted.  相似文献   

12.
Pregnancy weight gain may lead to long-term increases in maternal BMI for some women. The objective of this study was to examine maternal body weight change 1y-2y postpartum, and to compare classifications of 2y weight retention with and without accounting for 1y-2y weight gain. Early pregnancy body weight (EPW, first trimester) was measured or imputed, and follow-up measures obtained before delivery, 1 year postpartum (1y) and 2 years postpartum (2y) in an observational cohort study of women seeking prenatal care in several counties in upstate New York (n = 413). Baseline height was measured; demographic and behavioral data were obtained from questionnaires and medical records. Associations of 1y-2y weight change (kg) and 1y-2y weight gain (≥2.25 kg) with anthropometric, socioeconomic, and behavioral variables were evaluated using linear and logistic regressions. While mean ± SE 1y-2y weight change was 0.009 ± 4.6 kg, 1y-2y weight gain (≥2.25 kg) was common (n = 108, 26%). Odds of weight gain 1y-2y were higher for overweight (OR(adj) = 2.63, CI(95%) = 1.43-4.82) and obese (OR(adj) = 2.93, CI(95%) = 1.62-5.27) women than for women with BMI <25. Two year weight retention (2y-EPW ≥2.25 kg) was misclassified in 38% (n = 37) of women when 1y-2y weight gain was ignored. One year weight retention (1YWR) (1y-EPW) was negatively related to 1y-2y weight change (β(adj) ± SE = -0.28 ± 0.04, P < 0.001) and weight gain (≥2.25 kg) (OR(adj) = 0.91, CI(95%) = 0.87-0.95). Relations between 1y weight retention and 1y-2y weight change were attenuated for women with higher early pregnancy BMI. Weight change 1y-2y was predicted primarily by an inverse relation with 1y weight retention. The high frequency of weight gain has important implications for classification of postpartum weight retention.  相似文献   

13.
施氮水平对水稻生育后期地上部氨挥发的影响   总被引:8,自引:0,他引:8  
采用温室盆栽模拟试验,研究了不同施氮水平下水稻开花后地上部氨挥发及其影响因素.结果表明:不同品种水稻开花后地上部日氨挥发量和开花至成熟期的氨挥发总量均随施氮量的增加而增加,且不同施氮水平间存在一定差异.花期和成熟期水稻地上部氨挥发量(y)与功能叶片谷氨酰胺合成酶(GS)活性(x1)呈显著负相关,而与功能叶片质外体NH4+浓度(x2)呈显著正相关:y=-0.37846x1+0.41821x2+0.04925(R2=0.9471,n=16).水稻氮素收获指数(x1)和氮肥生理利用率(x2)均与地上部氨挥发总量(y)呈显著负相关:y=-0.02117x1+0.75186(R2=0.8426,n=8)和y=-1.10386x2+35.52676(R2=0.8489,n=8),说明高氮水平下水稻氮肥利用率的下降与水稻地上部氨挥发量的增加有关.  相似文献   

14.
Previous work demonstrated that l-arginine, the substrate for nitric oxide (NO) synthase, is carried into inner medullary collecting duct (IMCD) cells via system y+, that the major system y+ gene product in IMCD is the cationic amino acid transporter 1 (CAT1), and that blockade of l-arginine uptake in the renal medulla decreases NO and leads to systemic hypertension. The present study determined the influence of dietary sodium intake on l-arginine uptake in IMCD, on CAT1 immunoreactive protein in the renal medulla, and on the hypertensive response to blockade of l-arginine uptake in the renal medulla. Transport studies in bulk-isolated IMCD demonstrated that l-arginine uptake by IMCD was significantly greater (663 +/- 100 pmol x mg(-1) x min(-1), n = 6) in rats exposed to a low-sodium diet (0.4% NaCl) compared with rats on a normal (1% NaCl, 519 +/- 78 pmol x mg(-1) x min(-1), n = 6) or high-sodium diet (4.0% NaCl, 302 +/- 27 pmol x mg(-1) x min(-1), n = 6). Immunoblotting experiments demonstrated that CAT1 immunoreactive protein was significantly decreased by approximately 30% in rats maintained on a high-NaCl diet (n = 5) compared with rats on a low-NaCl diet (n = 5). In contrast to the l-arginine transport and immunoblotting data, in vivo blockade of l-arginine uptake led to hypertension of equal magnitude in rats maintained on a low- or high-NaCl diet. These results indicate that sodium loading leads to a decrease in immunoreactive CAT1 protein in the rat renal medulla, resulting in decreased l-arginine uptake capacity. The decrease in l-arginine uptake capacity, however, does not alter the blood pressure response to l-arginine uptake inhibition in the renal medulla.  相似文献   

15.
Using Bluetooth wireless technology, we developed an implantable telemetry system for measurement of the left ventricular pressure-volume relation in conscious, freely moving rats. The telemetry system consisted of a pressure-conductance catheter (1.8-Fr) connected to a small (14-g) fully implantable signal transmitter. To make the system fully telemetric, calibrations such as blood resistivity and parallel conductance were also conducted telemetrically. To estimate blood resistivity, we used four electrodes arranged 0.2 mm apart on the pressure-conductance catheter. To estimate parallel conductance, we used a dual-frequency method. We examined the accuracy of calibrations, stroke volume (SV) measurements, and the reproducibility of the telemetry. The blood resistivity estimated telemetrically agreed with that measured using an ex vivo cuvette method (y=1.09x - 11.9, r2= 0.88, n=10). Parallel conductance estimated by the dual-frequency (2 and 20 kHz) method correlated well with that measured by a conventional saline injection method (y=1.59x - 1.77, r2= 0.87, n=13). The telemetric SV closely correlated with the flowmetric SV during inferior vena cava occlusions (y=0.96x + 7.5, r2=0.96, n=4). In six conscious rats, differences between the repeated telemetries on different days (3 days apart on average) were reasonably small: 13% for end-diastolic volume, 20% for end-systolic volume, 28% for end-diastolic pressure, and 6% for end-systolic pressure. We conclude that the developed telemetry system enables us to estimate the pressure-volume relation with reasonable accuracy and reproducibility in conscious, untethered rats.  相似文献   

16.
The feasibility of calibrating a glucose sensor by using a wearable glucose meter for blood glucose determination and moderate variations of blood glucose concentration was assessed. Six miniaturized glucose sensors were implanted in the subcutaneous tissue of conscious dogs, and the parameters used for the in vivo calibration of the sensor (sensitivity coefficient and extrapolated current in the absence of glucose) were determined from values of blood glucose and sensor response obtained during glucose infusion. (1) Venous plasma glucose level and venous total blood glucose level were measured simultaneously on the same sample, using a Beckman analyser and a Glucometer II, respectively. The regression between plasma glucose (x) and whole blood glucose (y) was y = 1.12x-0.08 mM (n = 114 values, r = 0.96, p = 0.0001). The error grid analysis indicated that the use of a Glucometer II for blood glucose determination was appropriate in dogs. (2) The in vivo sensitivity coefficients were 0.57 +/- 0.11 nA mM-1 when determined from plasma glucose, and 0.51 +/- 0.07 nA mM-1 when determined from whole blood glucose (t = 1.53, p = 0.18, n.s.). The background currents were 0.88 +/- 0.57 nA when determined from plasma glucose, and 0.63 +/- 0.77 nA when determined from whole blood glucose (t = 0.82, p = 0.45, n.s.). (3) The regression equation of the estimation of the subcutaneous glucose level obtained from the two methods was y = 1.04x + 0.56 mM (n = 171 values, r = 0.98, p = 0.0001).(ABSTRACT TRUNCATED AT 250 WORDS)  相似文献   

17.
18.
Thiazolidinediones may slow the progression of type 2 diabetes by preserving pancreatic beta-cells. The effects of pioglitazone (PIO) on structure and function of beta-cells in KKA(y), C57BL/6J ob/ob, and C57BL/KsJ db/db mice (genetic models of type 2 diabetes) were examined. ob/ob (n = 7) and db/db (n = 9) mice were randomly assigned to 50-125 mg.kg body wt-1.day-1 of PIO in chow beginning at 6-10 wk of age. Control ob/ob (n = 7) and db/db mice (n = 9) were fed chow without PIO. KKA(y) mice (n = 15) were fed PIO daily at doses of 62-144 mg.kg body wt-1.day-1. Control KKA(y) mice (n = 10) received chow without PIO. Treatment continued until euthanasia at 14-26 wk of age. Blood was collected at baseline (before treatment) and just before euthanasia and was analyzed for glucose, glycosylated hemoglobin, and plasma insulin. Some of the splenic pancreas of each animal was resected and partially sectioned for light or electron microscopy. The remainder of the pancreas was assayed for insulin content. Compared with baseline and control groups, PIO treatment significantly reduced blood glucose and glycosylated hemoglobin levels. Plasma insulin levels decreased significantly in ob/ob mice treated with PIO. All groups treated with PIO exhibited significantly greater beta-cell granulation, evidence of reduced beta-cell stress, and 1.5- to 15-fold higher levels of pancreatic insulin. The data from these studies suggest that comparable effects would be expected to slow the progression of type 2 diabetes, either delaying or possibly preventing progression to an insulin-dependent state.  相似文献   

19.
We report the synthesis of new complexes with the general formula (R2SnX2)y.H2BiIm, where y = 1 or 2; R = Me, Et, Bun; X = Cl or Br (for R = Et) and H2BiIm = 2,2'-Biimidazole. The complexes have been characterized by elemental analysis and M?ssbauer, infra-red and 1H n.m.r. spectroscopy and tested (like the ligand, Me2SnCl2 and Et2SnCl2) against P388D1 leukemic cells.  相似文献   

20.
Li J  Wang T  Wu D  Zhang X  Yan J  Du S  Guo Y  Wang J  Zhang A 《Biomacromolecules》2008,9(10):2670-2676
Synthesis of novel zwitterionic block copolypeptides, poly(N-isopropylacrylamide)-block-poly(L-glutamic acid-co-L-lysine) [PNiPAM(n)(PLG(x)-co-PLLys(y))m , where n is the number-average degree of polymerization (DP(n)) of PNiPAM block, x and y are the mole fraction of glutamic acid and lysine residues, respectively, and m is the total DP(n) of the peptide block], and their stimuli-responsiveness to temperature and pH variation in aqueous solutions are described. Initiated with the amino-terminated poly(N-isopropylacrylamide) (PNiPAM(n)-NH2), ring-opening polymerization (ROP) of a mixture of gamma-benzyl-L-glutamate N-carboxyanhydride (BLG-NCA), and Boc-L-lysine N-carboxyanhydride (BLLys-NCA) afforded the block copolypeptides PNiPAM(n)(PBLG(x)-co-PBLLys(y))m, with a poly(N-isopropylacrylamide) block together with a random copolypeptide block, which was then deprotected with HBr/trifluoroacetic acid into the double hydrophilic block copolypeptides, PNiPAM(n)(PLG(x)-co-PLLys(y))m. Their block ratios and lengths, as well as the amino acid residue ratios in the random copolypeptide block are varied (n = 360, x = 0.4-0.5, y = 0.4-0.6, and m = 220-252). The secondary structures of the copolypeptides in aqueous solution at different pH conditions were examined. Phase transitions in aqueous solutions induced by both pH and temperature variation were investigated by (1)H NMR spectroscopy. The transitions induced by temperature were also explored by turbidity measurements using UV/vis spectroscopy for their lower critical aggregation temperature (LCAT) determination. Furthermore, these aggregation processes were followed by dynamic light scattering measurements.  相似文献   

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