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PubMed1991

A new oral lavage solution vs cathartics and enema method for preoperative colonic cleansing.

Sulfate free-electrolyte lavage solution is a new osmotically balanced electrolyte gut lavage solution for colon surgery that has been formulated for improved taste and reduced water and electrolyte changes. Sixty patients were prospectively randomized to receive a 1-day preparation with sulfate free-electrolyte lavage solution or a 3-day preparation using a clear liquid diet, cathartics, and enemas. The patient groups were similar in age, race, male-female ratio, and the types of colonic resections performed. Colonic cleansing was better with sulfate free-electrolyte lavage solution (100% vs 63% "good" to "excellent" cleansing). Patient tolerance evaluated by a questionnaire showed more overall discomfort with sulfate free-electrolyte lavage solution but no difference between the preparations in individual symptoms of fullness, cramping, nausea, or vomiting. One patient developed a low level of serum potassium after a cathartic and enema preparation, while there were no complications with sulfate free-electrolyte lavage solution. Patient taste questionnaires showed a slight preference for sulfate free-electrolyte lavage solution (53%) over a polyethylene glycol electrolyte lavage solution (47%). This study confirms that sulfate free-electrolyte lavage solution is a safe and effective method of preoperative colonic cleansing.

Administration, Oral↗
PubMed1994

Magnetic fields alter electrical properties of solutions and their physiological effects.

Calcium chloride and snail physiological salt solutions were exposed to static magnetic fields (2.3-350 mT), and the physical properties of the solutions as well as their biologic effects were studied. Our preliminary observations show that these fields alter physicochemical properties of CaCl2 solutions and the functional effects of physiological solutions. Experiments on CaCl2 solutions demonstrated field-dependent changes of electrical conductivity, with the magnitude and the direction of conductivity change being a function of both concentration and field intensity. The changes in conductivity were maintained for periods in excess of 1 h after exposure. Conductivity changes were not found after exposure of physiological solutions to static magnetic fields, but changes of biological consequence did occur. Other experiments showed that there were several changes in cellular function observed in ganglia and isolated neurons of Helix pomatia when the perfusing medium was changed from the normal physiologic solution to the same solution after exposure to magnetic fields. These changes include membrane depolarization and increased action potential discharge, reduced uptake of Ca into cells, altered content of cyclic nucleotides in ganglia, and increased volume of isolated cell bodies. A change in hydration of calcium ions may be one of the consequences of magnetic-field exposure, and in physiological solutions this change may have functional consequences.

Animals↗
PubMed1976

[Rheology and spinning of alkaline solutions of sunflower seed globulin and casein].

The specific demand of sodium hydroxide is determined for the dissolution of sunflower seed globulin, casein and a mixture of them to equal parts. In low protein-containing solutions it depends for sunflower seed globulin very much on the sodium chloride concentration. From sunflower seed globulin, casein and a mixture of them to equal parts are prepared with sodium hydroxide high protein-containing alkaline solutions. Sunflower seed globulin forms temporally a gel phase. After this phase the solution of sunflower seed globulin shows like casein and a mixture of sunflower seed globulin/casein (I:I) pseudoplastic flow. The flow curves of the pseudoplastic solutions are described mathematically with the OSWALDian power statement. By alkaline solutions of casein and sunflower seed globulin/casein (I:I) the flow exponent n is distributed statistically about 0.9, by solutions of sunflower seed globulin a distribution exists about the mean values n = 0.85 and n = 0.50. lg k depends in all protein solutions on the concentration of protein, sodium chloride, sodium hydroxide and on the temperature and time. For all protein solutions exists a linear relation between the logarithm of viscosity and the reciprocal temperature for lg k and I/T, which is derived normally for NEWTONian flow behaviour. In a suitable scope of spinning for all protein solutions are carried out complete factorial experiment, which guide to regression equations of lg k; in the case of sunflower seed globulin are calculated also a regression equation of the flow exponent n. Going out from the parameters of the spinning process the properties of the spun sunflower seed globulin/casein (I:I) fibers are described.

Caseins↗
PubMed1999

Trophallaxis in the honeybee, Apis mellifera : the interaction between viscosity and sucrose concentration of the transferred solution.

Trophallaxis by honeybee foragers was studied under the experimental conditions of an arena. The behaviour of pairs of bees, one (donor) fed with 50-&mgr;l sucrose solutions and another unfed recipient, was analysed as a function of the sucrose concentration, the concentration at constant viscosity (kept constant by adding tylose, an inert polysaccharide), and of the viscosity of a 30% sucrose solution. By increasing the concentration of solutions, the rate at which the solution was transferred to recipient bees (transfer rate of solution, in &mgr;l/s) increased up to a maximum value for 30% sucrose solution, and decreased beyond this concentration (concentration experiment). At constant viscosity, no modulation was observed for the lower sugar concentration range (10-30%), while the transfer rate of solution clearly increased beyond 30% (concentration experiment at constant viscosity). For the 30% sucrose solution, the transfer rate decreased with increasing viscosity (viscosity experiment). If only the sucrose compound is comparatively analysed, the transfer rate of sucrose (in mg/s) increased similarly in the first two experiments. These results give behavioural evidence suggesting that donor bees are capable of modulating the trophallactic food transfer as related to the sucrose concentrations carried into their crops within a considerable wide range, but viscosity prevents it. It also suggests that trophallactic transfer rate does not depend on abdominal volume, for even when all donor bees attained similar loads (50 &mgr;l), transfer rate of solution increased along with the offered sucrose concentration. Results are discussed in relation to the information exchange performed in the foraging context displayed by foragers. Copyright 1999 The Association for the Study of Animal Behaviour.

Journal Article↗
PubMed1996

Crystallization of Ice in Aqueous Solutions of Glycerol and Dimethyl Sulfoxide. 1. A Comparison of Mechanisms

The crystallization of ice from aqueous solutions of glycerol and dimethyl sulfoxide (Me2SO) has been studied using differential scanning calorimetry. In particular, the ice crystallization behavior of glycerol and Me2SO solutions containing approximately the same mole percent solute concentration (i.e., approximately 16 mol%) has been compared. These solutions (45 w/w% Me2SO (15.9 mol%) and 50 w/w% glycerol (16.4 mol%)) were shown to exhibit markedly different ice crystallization properties. For example, the peak homogeneous nucleation temperature of the Me2SO solution was observed to be 3°C above Tg, whereas the peak homogeneous nucleation temperature of the glycerol solution was shown to be 20°C above Tg. Further, the 50 w/w% glycerol solution was shown to devitrify at temperatures close to those of the peak nucleation rate, whereas the Me2SO solution was found to devitrify at temperatures much higher than the peak nucleation temperature. This, along with evidence from emulsion-based calorimetry experiments, indicates that the nucleation leading to devitrification in 45 w/w% Me2SO solutions is largely heterogeneous in nature.

Journal Article↗
PubMed1998

An overview of the role and diversity of compatible solutes in Bacteria and Archaea.

The accumulation of compatible solutes is a prerequisite for the adaptation of microorganisms to osmotic stress imposed by salt or organic solutes. Two types of strategies exist to cope with high external solute concentrations; one strategy is found in the extremely halophilic Archaea of the family Halobacteriaceae and the Bacteria of the order Haloanaerobiales involving the accumulation of inorganic ions. The other strategy of osmoadaptation involves the accumulation of specific organic solutes and is found in the vast majority of microorganisms. The organic osmolytes range from sugars, polyols, amino acids and their respective derivatives, ectoines and betaines. The diversity of these organic solutes has increased in the past few years as more organisms, especially thermophilic and hyperthermophilic Bacteria and Archaea, have been examined. The term compatible solute can also be applied to solutes that protect macromolecules and cells against stresses such as high temperature, desiccation and freezing. The mechanisms by which compatible solutes protect enzymes, cell components and cells are still a long way from being thoroughly elucidated, but there is a growing interest in the utilization of these solutes to protect macromolecules and cells from heating, freezing and desiccation.

Archaea↗
PubMed2002

Keeping central venous lines open: a prospective comparison of heparin, vitamin C and sodium chloride sealing solutions in medical patients.

OBJECTIVE: To prevent catheter occlusion, intermittently used central venous catheters are frequently sealed with vitamin C solution or heparin solution between use. The present study was designed to test the effectiveness of this approach and to compare the efficiency of sealing solutions. DESIGN AND SETTING: Prospective randomized study performed on a 9-bed medical ICU and on medical wards of an academic tertiary care center. PARTICIPANTS. Ninety-nine central venous line placements were prospectively included in the study and randomized into three treatment groups: sodium chloride 0.9%, vitamin C (200 mg/ml) and heparin (5000 IU/ml) sealing solutions. INTERVENTIONS AND MEASUREMENTS: Catheters were filled with the respective sealing solution and patency was tested once every 2 days using a standardized routine. Catheter patency was compared among the three groups using Kaplan-Meier statistics and log-rank testing. RESULTS: There was a significant difference in catheter patency between the three groups (p<0.03, log-rank test). A comparison of catheter survival between the catheters filled with heparin and those filled with sodium chloride, but not between those filled with vitamin C solution and with sodium chloride solution, exhibited significant differences in catheter patency (p<0.04, log-rank test). CONCLUSIONS: Local anticoagulation of intermittently used central venous catheters prolongs catheter patency. High-dose (5000 IU/ml) heparin solution is a useful anticoagulant for this purpose, while vitamin C solution does not prolong catheter patency.

Academic Medical Centers↗
PubMed2005

Changes in acid-base balance following bolus infusion of 20% albumin solution in humans.

OBJECTIVE: To evaluate changes in acid-base balance following bolus infusions of a 20% albumin solution. DESIGN AND SETTING: Randomized prospective study in a university hospital. PATIENTS AND PARTICIPANTS: Two groups of eight patients each undergoing gynecological surgery. INTERVENTIONS: Patients were randomly assigned to receive either 0.9% saline or lactated Ringer's solution. At the end of surgery two boluses of 0.5 g/kg body weight of a 20% albumin solution were administered. Arterial blood gases, electrolytes, and total protein were measured. The strong ion difference and the amount of weak plasma acid were calculated. pH and titratable acidity of the 20% albumin solution were determined. MEASUREMENTS AND RESULTS: The infusion of a 20% albumin solution resulted in a significant decrease in pH from 7.284 to 7.262 in the saline group and from 7.422 to 7.394 in the Ringer's group. In both groups the 20% albumin solution caused an increase in strong ion difference and an increase in the amount of weak plasma acid. The observed changes in serum bicarbonate concentration were in good agreement with the changes in strong ion difference and the amount of weak plasma acid. The 20% albumin solution possessed a pH of 6.95 and a titratable acidity of 8.5 [corrected] mEq/l. CONCLUSIONS: According to the Stewart approach, the observed changes in acid-base balance are the net result of the two opposing effects of the strong ion difference and the amount of weak plasma acid. Alternatively, the acidifying effect of the 20% albumin solution may stem from the titratable acid content of the solution.

Acid-Base Equilibrium↗
PubMed2005

Urothelial injury to the rabbit bladder caused by calcium dissolving agents including two new citrate solutions.

We compared the urothelial injury to the bladder caused by four agents capable of dissolving calcium salts. The solutions were administrated in an antegrade way through left ureterostomies in 54 rabbits for periods of 24, 48 and 72 h. The bladders were then removed and three routine histological sections were made for each. The following six solutions were used: physiological sodium chloride solution (Phys), artificial urine (Art), 0.03 M disodium EDTA buffered to pH 8.5 with triethanolamine (EDTA), 10% Renacidin (R), test solution 2 (S2, using D-gluconic acid-lactone and other compounds that differ from R in terms of ingredients or quantity), and test solution 1 (S1, using D-gluconic-acid instead of D-gluconic acid-lactone in S2 but keeping the other ingredients the same) for irrigation. At 24 h there was no observable urothelial damage caused by perfusion with Phys or Art; solutions R, S1 and S2 caused approximately the same level of injury to the rabbit bladder mucosa; however, irrigation with disodium-EDTA caused more serious urothelial injury than R, S1 and S2 (P<0.05, chi2-test) and may be unacceptable. The damage to bladder tissues treated with S1 and S2 was less than that caused by R, but this was not significant (P>0.05, chi2-test). Following a prolonged irrigation time, all of these solutions cause further urothelial damage, but EDTA caused the most, followed by R, S1, S2, Phys or Art, respectively, at 48 and 72 h. In view of the better solubility effect of solutions S1 and S2 compared with R, it might be justified in accepting the more pronounced urothelial irritation caused these solutions, but in order to enhance their effectiveness and reduce urothelial injury further study will be needed.

Animals↗
PubMed1981

Conformation of insulin and its fragments in surfactant solutions.

The conformation of insulin, A and B chains and des(B23-30)octapeptide insulin (DOI) in surfactant solutions was studied by circular dichroism (CD). Addition of sodium dodecyl sulfate (NaDodSO4), dodecylammonium chloride (DodNH3Cl) or dodecyltrimethylammonium chloride (Dod(CH3)3NCl) slightly alters the CD spectrum of insulin, but not DOI. The CD of insulin in NaDodSO4 solution resembles that of DOI without the surfactant, suggesting the dissociation of the COOH-terminal antiparallel beta-form of insulin oligomers (DOI lacks B23-30 and exists as monomers). Reduced insulin and DOI lose their ordered structure in water, but their helical conformation is restored in surfactant solutions. Reduced DOI in NaDodSO4 solution appears to be more helical than DOI with the disulfide bonds intact as judged from their ellipticities. Oxidized A and B chains of insulin are unordered in aqueous solution. A chain that lacks cationic side groups remains unordered in a NaDodSO4 solution. It shows a small amount of helix in a Dod(CH3)3NCl solution and forms the interchain beta-form in a DodNH3Cl solution. In contrast, B chain becomes partially helical in all three surfactant solutions.

Animals↗
PubMed1989

Thrombogenicity of total parenteral nutrition solutions: I. Effect on induction of monocyte/macrophage procoagulant activity.

Although thrombosis is a frequent complication of total parenteral nutrition (TPN), its pathogenesis has received little scientific attention. We have studied, in vitro, the effects of the component solutions of TPN on the induction and modulation of human monocyte procoagulant activity, an initiator of coagulation. Human peripheral blood mononuclear cells were cultured with (a) 200 microliters of dextrose solution (10%, 15%, 20%, 25%, and 50%), (b) 200 microliters of amino acid solution (full, one-half, and one-quarter strength), and (c) 200 microliters of isosmolar 10% lipid emulsion (LE). Cocultures of LE and 20% dextrose, LE and full-strength amino acid solution, and LE and bacterial lipopolysaccharide were also studied. Cells cultured with lipopolysaccharide or medium alone constituted positive and negative controls, respectively. In addition, cocultures of LE and 20% dextrose, LE and full-strength amino acid solution, and LE and lipopolysaccharide were also studied. Cells were incubated for intervals of 12-72 h, washed, frozen, and assayed for monocyte procoagulant activity (MPCA). Milliunits of MPCA were derived from a standard thromboplastin curve. In addition, spontaneous MPCA levels were measured in healthy volunteers (n = 4) and "home" total parenteral nutrition patients (n = 4) before and after a 2-h infusion of 500 ml of LE. Our results show that, in vitro, hypertonic dextrose and full-strength amino acid solutions induce significant levels of MPCA. Induction of MPCA by dextrose was lymphocyte-independent. Although a significant increase in MPCA by full-strength amino acid solution was seen in cultures of isolated monocytes, a lymphocyte requirement was demonstrated for full MPCA. In contrast, LE significantly inhibited the induction of MPCA by 20% dextrose and full-strength amino acid solution. This inhibitory activity was at the monocyte level. Subfractionation of the LE into triglyceride and phospholipid phases showed the inhibitory capacity to reside in the former. In vivo, patients on home total parenteral nutrition expressed higher spontaneous MPCA levels than normal controls. Ten percent lipid emulsion infusion abolished MPCA expression in both groups. These corroborative in vitro and in vivo data suggest a mechanism for the thrombogenicity of total parenteral nutrition solutions and that the inhibitory properties of LE may be of practical advantage in preventing thrombosis.

Adult↗
PubMed1987

Carbachol contracture of stomach smooth muscle of the newt in calcium-free solution.

A small muscle preparation of stomach circular muscle of the newt responded to carbachol (CCh) with a phasic contracture. At 20 degrees C, in Ca-free Ringer solution (+1 mM EGTA), the amplitude of CCh contracture was very rapidly inhibited to less than 10% of that in normal Ringer solution (1.8 mM Ca). The amplitude of this CCh contracture was markedly enhanced with increasing [K]0. CCh contracture in Ca-free Ringer solution was also enhanced after K contracture was induced once in the presence of 1.8 mM Ca, followed by soaking in normal Ringer solution. The amplitude of this enhanced CCh contracture persisted up to about 5 min, following rapid decrease to about 70%, and then gradually decreased to a steady level in Ca-free Ringer solution. This decrease in amplitude was prevented by increasing [K]0 during soaking in Ca-free solution; even when the temperature was elevated from 20 to 35 degrees C during the periods of soaking in Ca-free solution, CCh contracture was inhibited only by about 20% in Ca-free high K solution, whereas in Ca-free or Ca-free low Na (Tris) Ringer solution it was inhibited by more than 50%.

Animals↗
PubMed2005

Corrosion behavior and surface characterization of titanium in solution containing fluoride and albumin.

The objective of this study was to demonstrate the role of albumin on the corrosion behavior of titanium in a solution containing 2.0 g/l fluoride and either 0.1 or 1.0 g/l albumin. The corrosion behavior and surface characterization of passive films on titanium immersed in such a solution were examined. In addition, the change in pH and the concentration of dissolved titanium in the solution were examined. The results showed that the corrosion of titanium in a solution containing fluoride was distinct, and that adding albumin to the solution containing fluoride suppressed corrosion. Fluorine was detected on the titanium surface immersed in the solution containing fluoride, and dissolution of the titanium was confirmed. The titanium immersed in a solution containing both fluoride and albumin had an albumin film regardless of the albumin concentration. In addition, the amount of dissolved titanium from the titanium immersed in the solution was less than when the solution contained no albumin. It was suggested that the formation of adsorbed albumin films on or in the passive film acted to not only protect the titanium from attack by the fluoride but also suppressed dissolution of the titanium-fluoride compounds.

Albumins↗
PubMed2005

PCL microparticle-dispersed PLGA solution as a potential injectable urethral bulking agent.

The PCL microparticle-dispersed PLGA solutions were prepared as a potential injectable urethral bulking agent. The mixture solutions were prepared by mixing polycarprolactone (PCL) microparticles (diameter, 100 approximately 200mum; fabricated by a temperature-induced phase transition method) and poly(dl-lactic-co-glycolic acid) (PLGA) solution (dissolved in tetraglycol to 10wt%) with different PCL microparticle to PLGA solution ratio. The mixture solution was solidified by the precipitation of PLGA when the solution was contact with water. In contact with water, the PCL microparticles exhibited a well-packed structure entrapped in a solidified porous PLGA matrix, which can effectively prevent the microparticle migration in the body and retain its initial volume even after PLGA matrix degradation. The PCL microparticle-dispersed PLGA solution (particle to solution ratio, 45/55 (w/v)) was easily injected through 18G needle into back of hairless mouse (subcutaneously) and stably located at the apply site. The surrounding tissue including blood vessel were gradually infiltrated into the implant up to 8 weeks without the initial injected volume change and with little inflammatory response. The PCL microparticle-dispersed PLGA solution may be a good candidate as an injectable bulking agent for the treatment of urinary incontinence owing to its good injectability, volume retention potential as well as biocompatibility.

Animals↗
PubMed2005

The wettability of polytetrafluoroethylene and polymethyl methacrylate by aqueous solution of two cationic surfactants mixture.

Advancing contact angle (theta) measurements were carried out for aqueous solutions of cetyltrimethylammonium bromide (CTAB) and cetylpyridinium bromide (CPyB) mixtures on polytetrafluoroethylene (PTFE) and polymethyl methacrylate (PMMA). The obtained results indicate that the wettability of PTFE and PMMA by aqueous solutions of CTAB and CPyB mixtures depends on the composition and concentration of the mixture; however, synergism in the wettability does not exist. In the range of low concentrations of aqueous solution mixtures there is a linear dependence between the contact angle and composition of the mixtures, but at a concentration close to CMC a deviation from linear dependence is observed. In contrast to Zisman, there is no linear dependence between costheta and the surface tension of aqueous solution of CTAB and CPyB mixtures, but a linear dependence exists between the adhesional and surface tension, and these lines have a slope -1 and -0.34 for PTFE and PMMA, respectively, which suggests that adsorption of CTAB and CPyB mixtures at water-air and PTFE-water is the same, and the orientation of the CTAB and CPyB molecules at both interfaces in the saturated monolayer should also be the same. Adsorption of these mixtures at water-air interface is considerably higher than at PMMA-water interface, and CTAB and CPyB molecules should be parallelly oriented to PMMA surface in the saturated monolayer. Extrapolation of the straight lines to the points corresponding to the surface tension of aqueous solution, which completely spreads over the PTFE and PMMA surface, gives a critical surface tension of wetting equal to 23.44 and 33.13 mN/m, respectively. The value of 23.44 mN/m is higher than that of the surface tension of PTFE, but the value of 33.13 is lower than that of Lifshitz-van der Waals components of PMMA surface tension. On the basis of the critical surface tension, the surface tension of PTFE and PMMA, the Young equation, and thermodynamic analysis of the adhesion work of aqueous solution of surfactant to polymer surface, it was found that for PTFE and PMMA the changes of the contact angle of aqueous solution of two cationic surfactants mixtures on their surfaces as a function of the solution concentration resulted only from the decrease of the polar component of the solution surface tension.

Journal Article↗
PubMed2004

Analytical model of solute transport by unsteady unsaturated gravitational infiltration.

Penetration of reactive solute into a soil during a cycle of water infiltration and redistribution is investigated by deriving analytical closed form solutions for fluid flux, moisture content and contaminant concentration. The solution is developed for gravitational flow and advective transport and is applied to two scenarios of solute applications encountered in the applications: a finite pulse of solute dissolved in irrigation water and an instantaneous pulse broadcasted onto the soil surface. Through comparison to simulations of Richards' flow, capillary suction is shown to have contrasting effects on the upper and lower boundaries of the fluid pulse, speeding penetration of the wetting front and reducing the rate of drying. This leads to agreement between the analytical and numerical solutions for typical field and experimental conditions. The analytical solution is further incorporated into a stochastic column model of flow and transport to compute mean solute concentration in a heterogeneous field. An unusual phenomenon of plume contraction is observed at long times of solute propagation during the drying stage. The mean concentration profiles match those of the Monte-Carlo simulations for capillary length scales typical of sandy soils.

Gravitation↗
PubMed2007

Sensitivity of the solution of the Elder problem to density, velocity and numerical perturbations.

In this paper the Elder problem is studied with the purpose of evaluating the inherent instabilities associated with the numerical solution of this problem. Our focus is first on the question of the existence of a unique numerical solution for this problem, and second on the grid density and fluid density requirements necessary for a unique numerical solution. In particular we have investigated the instability issues associated with the numerical solution of the Elder problem from the following perspectives: (i) physical instability issues associated with density differences; (ii) sensitivity of the numerical solution to idealization irregularities; and, (iii) the importance of a precise velocity field calculation and the association of this process with the grid density levels that is necessary to solve the Elder problem accurately. In the study discussed here we have used a finite element Galerkin model we have developed for solving density-dependent flow and transport problems, which will be identified as TechFlow. In our study, the numerical results of Frolkovic and de Schepper [Frolkovic, P. and H. de Schepper, 2001. Numerical modeling of convection dominated transport coupled with density-driven flow in porous media, Adv. Water Resour., 24, 63-72.] were replicated using the grid density employed in their work. We were also successful in duplicating the same result with a less dense grid but with more computational effort based on a global velocity estimation process we have adopted. Our results indicate that the global velocity estimation approach recommended by Yeh [Yeh, G.-T., 1981. On the computation of Darcian velocity and mass balance in finite element modelling of groundwater flow, Water Resour. Res., 17(5), 1529-1534.] allows the use of less dense grids while obtaining the same accuracy that can be achieved with denser grids. We have also observed that the regularity of the elements in the discretization of the solution domain does make a difference in obtaining a unique stationary solution for this problem. The results of our study also indicate that the density differences are critical in the solution of the Elder problem and that high density differences lead to the physical instability that is inherent with this problem. Other than the physical instability associated with the level of density differences used in the Elder problem, the following two points should be considered in solving the Elder problem in a consistent manner: (i) strict attention should be paid to the vertical grid Peclet number in developing the criteria for convergent grid selection; and, (ii) with a globally continuous velocity calculation stable solutions can be obtained at lower grid densities.

Models, Theoretical↗
PubMed2004

On the stability of separable solutions of a sexual age-structured population dynamics model.

The Sharpe-Lotka-McKendrick-von Foerster equations for non-dispersing age-sex-structured populations with a harmonic mean type mating law are considered and their separable solutions are analysed. For certain forms of the demographic rates the underlying evolution equations are reduced to systems of ODEs, the long time behavior of their solutions is studied, and the stability of separable solutions is discussed. It is found that for the constant death rates and constant sex ratio of newborns with stationary birth rates this model admits one one-parameter class of separable solutions, two such classes (repeated or different) or no such ones. In the case of special forms of age-dependent birth rates, solutions of one of these two different classes corresponding to the greater root of the characteristic equation are locally stable, solutions of the other one corresponding to the smaller root are unstable, and the population dies out if the model does not admit separable solutions or if initial densities of newborns are small enough in the case of the existence of separable solutions. In the case of constant vital rates, the model has no separable solutions or admits only one class of such ones that are globally stable.

Age Distribution↗