A cross-diffusion model of forest boundary dynamics

A simple mathematical model of mono-species forest with two age classes which takes into account seed production and dispersal is presented in the paper. This reaction — diffusion type model is then reduced by means of an asymptotic procedure to a lower dimensional reaction — cross-diffusion model. The existence of standing and travelling wave front solutions corresponding to the forest boundary is shown for the later model. On the basis of the analysis, possible changes in forest boundary dynamics caused by antropogenic impacts are discussed.     

Bifurcation analysis of periodic SEIR and SIR epidemic models

The bifurcations of the periodic solutions of SEIR and SIR epidemic models with sinusoidally varying contact rate are investigated. The analysis is carried out with respect to two parameters: the mean value and the degree of seasonality of the contact rate. The corresponding portraits in the two-parameter space are obtained by means of a numerical continuation method. Codimension two bifurcations (degenerate flips and cusps) are detected, and multiple stable modes of behavior are identified in various regions of the parameter space. Finally, it is shown how the parametric portrait of the SEIR model tends to that of the SIR model when the latent period tends to zero.     

Thermal denaturation of Na- and Li-DNA in salt-free solutions

Thermal denaturation of Na- and Li-DNA from chicken erythrocytes was studied by means of scanning microcalorimetry in salt-free solutions at DNA concentrations (C_p) from 4.5 · 10^?2 to 1 · 10^?3 moles of nucleotides/liter (M). Linear dependencies of DNA melting temperature (T_m) vs lgC_p were obtained: ((1)) ((2)) for Na- and Li-DNA, respectively. Microcalorimetry data were compared with the results of spectrophotometric studies at 260 nm of DNA thermal denaturation in Me-DNA + MeCl solutions at C_p ? (6–8) · 10^?5 M and C_s = 0–40 mM (Me is Na or Li, C_s is salt concentration). It was found that Eqs. (1) and (2) are valid in DNA salt-free solutions over the C_p range 6 · 10^?5?4.5 · 10^?2M. Protonation of DNA bases due to the absorption of CO₂ from air in Na-DNA + NaCl solutions affects DNA melting parameters at C_s < 4 mM. Linear dependence of T_m on lga₊ is found in Na-DNA + NaCl at C_s > 0.4 mMin the absence of contact of solutions with CO₂ from air (a₊ is cation activity). A dependence of [dT_m/dlga₊] on Li⁺ activity was observed in Li-DNA + LiCl solutions at C_s < 10 mM: [dT_m/dlga₊] increases from 17°–18° at C_s > 10 mM to 28°–30° at C_s ? 0.2–0.4 mM. Spectrophotometric measurements at 282 nm show that this effect was caused by protonation of bases in fragments of denatured DNA in neutral solutions. The Poisson–Boltzmann (PB) equation was solved for salt-free DNA at the melting point. The linear dependence of T_m vs lgC_p was interpreted in terms of Manning's condensation theory. PB and Manning's theories fit the experimental data if charge density parameter (ξ) of denatured DNA is in the range 1.8–2.1 (assuming for native DNA ξ = 4.2). Specificity of Li ions in interactions with DNA is discussed. © 1994 John Wiley & Sons, Inc.     

Multiple attractors,catastrophes and chaos in seasonally perturbed predator-prey communities

A classical predator-prey model is considered in this paper with reference to the case of periodically varying parameters. Six elementary seasonality mechanisms are identified and analysed in detail by means of a continuation technique producing complete bifurcation diagrams. The results show that each elementary mechanism can give rise to multiple attractors and that catastrophic transitions can occur when suitable parameters are slightly changed. Moreover, the two classical routes to chaos, namely, torus destruction and cascade of period doublings, are numerically detected. Since in the case of constant parameters the model cannot have multiple attractors, catastrophes and chaos, the results support the conjecture that seasons can very easily give rise to complex populations dynamics.     

Firing activity of preoptic and supraoptic neurons upon mild alterations in osmo- and glucohomeostasis

Responses of neurons of the lateral (LPO) and medial (MPO) subdivisions of the preoptic region (RPO) and of the supraoptic nucleus (SO) of the hypothalamus at infusions of up to 400 µl of a hypotonic (0.2%) or a hypertonic (0.3%) NaCl solution or an isotonic (5.5%) glucose solution into the homolateral internal carotid artery were studied in acute experiments on ketamine-anesthetized cats. Changes in the firing frequency were exhibited by 69% of the examinedRPO andSO neurons, the response being of four different types: a monophasic increase (1st-type) or a monophasic decrease (2nd-type) in the activity; biphasic responses where an initial frequency rise was followed by inhibition (3rd-type) and vice versa (4th-type). Of all the neuronal responses to all stimulations, 50% (121/245) were of the 1st type; 11% (26/245), of the 2nd type; 5% (14/245), of the 3rd type; and 3% (7/245), of the 4th type. No neurons with 1st-type responses to infusion of the hypotonic NaCl solution were found in the medial sections of theMPO, and of the hypertonic solution, in the lateral sections of theLPO. Neurons with 2nd-type responses to infusion of hypo- and hypertonic NaCl solutions were almost solely detected in theSO, whereas units with such responses to glucose infusions were observed only in theRPO, being fully absent in theSO, where this stimulation gave rise only to 1st-type responses. Neurons with 3rd- and 4th-type responses to hypo- and hyperosmotic stimulations were detected predominantly in theMPO andSO, and to glucose stimulation, in theMPO andLPO.Neirofiziologiya/Neurophysiology, Vol. 25, No. 4, pp. 281–291, July–August, 1993.     

Magnetophoretic induction of curvature in coleoptiles and hypocotyls

Coleoptiles of barley (Hordeum vulgare) were positioned in a high gradient magnetic field (HGMF, dynamic factor gradient of H(2)/2 of 10(9)-10(10) Oe2 cm-1), generated by a ferromagnetic wedge in a uniform magnetic field and rotated on a 1 rpm clinostat. After 4 h 90% of coleoptiles had curved toward the HGMF. The cells affected by HGMF showed clear intracellular displacement of amyloplasts. Coleoptiles in a magnetic field next to a non-ferromagnetic wedge showed no preferential curvature. The small size of the area of nonuniformity of the HGMF allowed mapping of the sensitivity of the coleoptiles by varying the initial position of the wedge relative to the coleoptile apex. When the ferromagnetic wedge was placed 1 mm below the coleoptile tip only 58% of the coleoptiles curved toward the wedge indicating that the cells most sensitive to intracellular displacement of amyloplasts and thus gravity sensing are confined to the top 1 mm portion of barley coleoptiles. Similar experiments with tomato hypocotyls (Lycopersicum esculentum) also resulted in curvature toward the HGMF. The data strongly support the amyloplast-based gravity-sensing system in higher plants and the usefulness of HGMF to substitute gravity in shoots.     

Significance of the maternal levels of serum alpha-fetoprotein, human chorionic gonadotropin and unconjugated estriol in various congenital developmental defects in pregnancy trimester II]

Maternal serum alpha-fetoprotein (MSAFP), human chorionic gonadotropin (hCG) and unconjugated oestriol (uE3) concentrations were measured in maternal serum samples from 21 pregnancies with neural-tube defects, 4 pregnancies with ventral wall defects (VWD) and 1662 unaffected pregnancies in women. These congenital malformations were confirmed by ultrasound scanning. The mean multiplate of the median (MoM) for AFP and uE3 was significantly different from the control values in cases of open NTD (AFP median MoM = 5.95, p < 0.001, uE3 median MoM = 0.2, p < 0.001), while hCG values did not differ from those of matched controls (hCG median MoM = 0.9). The biological basis of altered levels of uE3 in pregnancies with fetal NTDs is unclear.     

Bifurcation analysis of a mathematical model of the interaction of cytotoxic lymphocytes with tumor cells. The effect of immunologic amplification of tumor growth and its interconnection with other "anomolous" phenomena of oncoimmunology]

Mathematical model of the immune response of the cytotoxic lymphocytes to the nonexponentially growing immunogenic tumour has been studied. Local and global biffurcations for realistic values of the parameters were determined. The connection of the oncoimmunological "anomalous" phenomena (immunostimulation of tumour growth, "sneaking through" of tumour, formation of the tumour "dormant" state) has been shown. The probability of manifestation of these effects in vivo was estimated.     

In vivo regulation of mitochondrial respiration in cardiomyocytes: specific restrictions for intracellular diffusion of ADP

Relative diffusivities of ADP and creatine in cardiomyocytes were studied. The isolated rat cardiomyocytes were lysed with saponin (40 micrograms/ml) to perforate or completely disrupt sarcolemma that was evidenced by leakage of 80-100% lactate dehydrogenase. In these cardiomyocytes mitochondria were used as 'enzymatic probes' to determine the average local concentration of substrates exerting acceptor control of respiration--ADP or creatine (the latter activates respiration via mitochondrial creatine kinase reaction)--when their concentrations in the surrounding medium were changed. The kinetic parameters for ADP and creatine in control of respiration of saponin-treated cardiomyocytes were compared with those determined in isolated mitochondria and skinned cardiac fibers. The apparent Km for creatine (at 0.2 mM ATP) was very close and in a range of 6.0-6.9 mM in all systems studied, showing the absence of diffusion difficulties for this substrate. On the contrary, the apparent Km for ADP increased from 18 +/- 1 microM for isolated mitochondria to 250 +/- 59 microM for cardiomyocytes with the lysed sarcolemma and to 264 +/- 57 microM for skinned fibers. This elevation of Km was not eliminated by inhibition of myokinase with diadenosine pentaphosphate. When 25 mM creatine was present, the apparent Km for ADP decreased to 36 +/- 6 microM. These data are taken to indicate specific restrictions of diffusion of ADP most probably due to its interaction with intermediate binding sites in cardiomyocytes. The important role of phosphocreatine-creatine kinase system of energy transport is to overcome the restrictions in regulation of energy fluxes due to decreased diffusivity of ADP.