Regulation of cardiac rhythm in hibernating mammals

The dramatic fall in heart rate exhibited by mammals entering hibernation begins before there is any noticeable fall in body temperature. The initial, progressive decrease in heart rate is the result of a cyclic parasympathetic activation that induces skipped beats and regular asystoles as well as slows the even heart beat. As body temperature subsequently falls, the parasympathetic influence is progressively withdrawn and periods of parasympathetic and sympathetic dominance alternate and give rise to regular periods of arrhythmia (tachycardia followed by bradycardia), and occasional long asystoles or periods of highly irregular cardiac activity. Superimposed on this is a vagally-mediated, respiratory sinus arrhythmia that is accentuated in species that breathe episodically. These events give way to a uniform heart rate in deep hibernation at low temperatures where both parasympathetic and sympathetic tone appear absent. The complete absence of tone is not a function of reduced temperature but is reflective of the state of deep, steady state hibernation. The elevation in heart rate that accompanies the onset of arousal is the result of dramatic increases in sympathetic activation that precede any increases in body temperature. As body temperature then rises, sympathetic influence is slowly withdrawn. Arrhythmias are also common during natural arousals or shifts from lower to warmer hibernation temperatures as periods of parasympathetic and sympathetic dominance again alternate en route to re-establishing a steady state in euthermia. The mechanism behind, and the biological significance of, cardiac changes mediated through orchestrated arrhythmias remain unknown.     

A problem in the mathematical biophysics of blood circulation: I

The standard approximation method used in mathematical biophysics is applied to the problem of flow of an incompressible viscous fluid in an elastic distensible tube. It is found that the wall of the tube may perform damped transversal harmonic oscillations due to that flow. The phenomenon is independent of the viscosity, the latter contributing only a damping factor. While, due to rather rough approximations, the practical applicability of the equation derived is rather limited, it is suggested that they may give a clue to the understanding of vibrations of the walls of blood vessels which long ago have been suggested as the possible source of some hemic murmurs.     

Regulation of excitation-contraction coupling in mouse cardiac myocytes: integrative analysis with mathematical modelling

Background  

The cardiomyocyte is a prime example of inherently complex biological system with inter- and cross-connected feedback loops in signalling, forming the basic properties of intracellular homeostasis. Functional properties of cells and tissues have been studied e.g. with powerful tools of genetic engineering, combined with extensive experimentation. While this approach provides accurate information about the physiology at the endpoint, complementary methods, such as mathematical modelling, can provide more detailed information about the processes that have lead to the endpoint phenotype.     

Some contributions to the mathematical biology of blood circulation. Reflections of pressure waves in the arterial system

If, along the length of a blood vessel, there is a discontinuous change of diameter, the pressure waves will be reflected at the discontinuity. The transmission and reflection coefficients of the waves are calculated in terms of the ratio of the diameters and the ratio of the propagation velocities of the waves in the parts of the blood vessel. We obtain also the reflection coefficient in terms of the ratios of the diameters, of the elasticity moduli, and of the wall thicknesses. The possible clinical importance of the results is pointed out for cases of coarctation, arteriosclerosis, and other pathological conditions which might effect local changes in the structure of the blood vessel wall.     

Spectral analysis of the cardiac rhythm of fishes

Spectral analysis of the rhythmograms in the cod Gadus morhua callarias, plaice Pleuronectes platessa, herring Clupea harengus membras and trout Salmo gairdneri revealed complex wave structure of their cardiac rhythm. In all the species investigated, slow (0.01-0.06 Hz), intermediate (0.06-0.25 Hz) and fast (0.25-0.5 Hz) waves were recorded. It is suggested that the wave structure of cardiac rhythm reflects rather complicated relationships between functional systems regulating cardiac activity.     

A mathematical model for the light affected system in the drosophila eclosion rhythm

This paper describes some analytical models for the system which regulates the daily eclosion rhythm of the drosophila. A general topological model is described which can simulate practically all the known experimental results about the behavior of the system under various light stimuli. From that a more specific model is proposed which can shortly be described as follows: The system contains a basic oscillator whose output is a substances. This is produced in the presence of an enzymer. During part of the cycler is deactivated ands dissipates until it reaches a lower level whenr is reactivated again. Light has the effect of deactivatingr immediately. The substances causes the production of a second substanceq which triggers a series of reactions leading to eclosion when it exceeds a threshold. The main oscillator (s—r) is temperature-compensated, but the production ofq is accelerated in the presence of light or higher temperature.     

Regulation of respiration and pulmonary blood circulation in experimental pneumonia

The experiments on anesthetized cats were carried out to determine the functional state of respiration centre (impulse activity of genuine respiration neurons and electrical activity of major and additional respiration muscles). Functional peculiarities of macro- and microcirculation of the lung tissue were also studied in the open and closed chest in normal subjects and in conditions of experimental pneumonia.     

Regulation of the cutaneous circulation

In this symposium, a diversity of perspectives was focused on how blood flow to the skin is controlled. Thus, control of the cutaneous circulation by reflexes aimed at body temperature regulation, blood pressure regulation, and the reflexes attending muscular exercise was discussed in detail, as were the similarities and differences between control of cutaneous arterioles and arteriovenous anastomoses. A mechanistic treatment of interaction between adrenergic control of cutaneous blood vessels and their temperature brought physical factors and pharmacological approaches to the consideration of reflex control. Finally, the more slowly developing changes in the control of the skin circulation that accompany circadian rhythms, changes in blood volume or its distribution, physical training, and acclimatization were discussed. Because the cutaneous circulation has potentially large vascular conductance, blood flow, and blood volume, control of the resistance and compliance vessels within the skin has an importance well beyond that of tissue nutrition. Indeed, overall hemodynamics are dependent on how much blood flow and how much blood volume are distributed to skin. Consequently, reflex factors, physical factors, and their interaction all have roles of importance with respect to exchange of heat with environment as well as maintenance of blood pressure, cardiac output, and blood flow to other tissues.     

Non-linear dynamic analysis of the cardiac rhythm during transient myocardial ischemia.

Coronary artery occlusions related to myocardial ischemia drive cardiac control system reactions that may lead to heart failure. The purpose of this study was to assess the autonomic nervous system (ANS) response during prolonged percutaneous transluminal coronary angioplasty (PTCA). Continuous ECG data were acquired from 50 patients before and during PTCA, with occlusions in the left anterior descending, left circumflex or right coronary artery. Heart rate variability (HRV) was analyzed for 3-min segments of the R-R interval signal obtained from ECG data. The ANS behavior was evaluated by HRV analysis using fractal-like indices. The fractal scalar exponent alpha(1) and power-law slope beta decreased considerably during PTCA. This indicates that significant reactions of autonomic control of the heart rate occurred during coronary artery occlusions, with a reduction in complexity of the ANS.     

Elemental analysis of blood of nigerian hypertensive subjects

Proton-induced X-ray emission (PIXE) has been used to obtain the concentrations of 11 elements (P, S, Cl, K, Ca, Fe, Cu, Zn, Br, Rb, and Cd) in whole-blood samples of 16 hypertensive subjects (mean age: 52.5 ± 0.5 yr) and 18 age-matched controls (mean age: 51.5 ± 0.5 yr) in a Nigerian population. The results of the study indicate that the hypertensive subjects have significantly higher mean concentration of Cl, Cd, Cu, and Zn when compared with the controls, and the mean concentration of P, K, and Ca was found to be significantly lower in the hypertensive group in comparison to the controls. Furthermore, the Zn : Cd ratio was found to be significantly higher in the controls than in the hypertensives, and the Cu : Zn ratio was significantly higher in the hypertensives.     

Usefulness of circadian amplitude of blood pressure in predicting hypertensive cardiac involvement.

Twenty-four-hour blood pressure (BP) profiles of 56 patients diagnosed as 'hypertensive' by WHO criteria were analyzed by the fit of a 24-hour cosine curve according to the single cosinor method. A left ventricular mass index (LVMI) was also assessed by two-dimensional echocardiography on each patient as a gauge of target organ involvement. LVMI and the BP MESOR correlates positively for systolic, S (r = 0.324), mean arterial, MA (r = 0.334) and diastolic, D (r = 0.267) BP (P less than 0.05), yet no statistically significant linear correlation between LVMI and the circadian BP amplitude (one-half of predictable change) was found. When a second-degree polynomial regression was fitted to the circadian BP amplitudes, an association was found (SBP: R2 = 0.138, P = 0.02; MAP: R2 = 0.167, P = 0.01; DBP: R2 = 0.128, P less than 0.01). The corresponding curves were characterized by peaks in the circadian amplitudes of SBP, MAP and DBP around a value of LVMI between 110 and 120 g/m2. For further scrutiny, three subgroups had been formed on the basis of literature, a priori with respect to the LVMI (group 1: LVMI less than 100); group 2: 100 less than LVMI less than 130; group 3: 130 less than LVMI). For MESORs, there was no difference between groups 1 and 2, whereas the MESOR of group 3 were larger than the other two groups. The circadian BP amplitudes of group 2 were larger than those of the other two groups for SBP, MAP and DBP. An increasing LVMI precedes a definitive increase of BP MESOR and coincides with an increase in the circadian BP amplitude; thus an increase in extent of circadian changes can alert the self-monitoring population of a target organ involvement.     

A global mathematical model of the cerebral circulation in man

A mathematical model of the cerebral circulation has been formulated. It was based on non-linear equations of pulsatile fluid flow in distensible conduits and applied to a network simulating the entire cerebral vasculature, from the carotid and vertebral arteries to the sinuses and the jugular veins. The quasilinear hyperbolic system of equations was numerically solved using the two-step Lax-Wendroff scheme. The model's results were in good agreement with pressure and flow data recorded in humans during rest. The model was also applied to the study of autoregulation during arterial hypotension. A close relationship between cerebral blood flow (CBF) and capillary pressure was obtained. At arterial pressure of 80 mmHg, the vasodilation of the pial arteries was unable to maintain CBF at its control value. At the lower limit of autoregulation (60 mm Hg), CBF was maintained with a 25% increase of zero transmural pressure diameter of nearly the whole arterial network.     

Regional blood flows and cardiac hemodynamics in renovascular and mineralocorticoid hypertensive rats

Regional blood flows and cardiac hemodynamics were studied in 3 models of hypertensive rats: one-kidney DOC-saline, one-kidney, one-clip and two-kidney, one-clip hypertension and in normotensive control rats. All hypertensive models were characterized by increased peripheral vascular resistance and normal cardiac output. Coronary and cerebral blood flows varied among the hypertensive models but did not significantly differ from the normotensive rats. However, coronary blood flow of one-kidney, one-clip rats (8.4 +/- 1.3 ml X min-1 X g-1) was significantly higher than that of the two-kidney one-clip rats (6.5 +/- 1.2 ml X min.-1 X g-1, P less than 0.05). Cerebral blood flow of DOC-saline rats was lower than that of two-kidney one-clip or one-kidney one-clip renovascular rats. Renal blood flows of the unclipped kidney of two-kidney renovascular rats (3.77 +/- 0.85 ml X min-1 X g-1) and DOC-saline rats (2.95 +/- 0.83 ml X min-1 X g-1) were significantly lower than those of normotensive rats (5.92 +/- 1.16 ml X min-1 X g-1, P less than 0.05). In conclusion, although vascular resistance becomes elevated in all models of experimental hypertension, regional vascular resistance and blood flow distribution may differ depending on the vasoconstrictor mechanisms that participate in each model.