The closest-individual method in the analysis of the distribution of capillaries

Microvascular anatomy suggests varying aerobic activity levels in the adipose tissues of diving tetrapods

Adipose tissue has many important functions including metabolic energy storage, endocrine functions, thermoregulation and structural support. Given these varied functions, the microvascular characteristics within the tissue will have important roles in determining rates/limits of exchange of nutrients, waste, gases and molecular signaling molecules between adipose tissue and blood. Studies on skeletal muscle have suggested that tissues with higher aerobic capacity contain higher microvascular density (MVD) with lower diffusion distances (DD) than less aerobically active tissues. However, little is known about MVD in adipose tissue of most vertebrates; therefore, we measured microvascular characteristics (MVD, DD, diameter and branching) and cell size to explore the comparative aerobic activity in the adipose tissue across diving tetrapods, a group of animals facing additional physiological and metabolic stresses associated with diving. Adipose tissues of 33 animals were examined, including seabirds, sea turtles, pinnipeds, baleen whales and toothed whales. MVD and DD varied significantly (P < 0.001) among the groups, with seabirds generally having high MVD, low DD and small adipocytes. These characteristics suggest that microvessel arrangement in short duration divers (seabirds) reflects rapid lipid turnover, compared to longer duration divers (beaked whales) which have relatively lower MVD and greater DD, perhaps reflecting the requirement for tissue with lower metabolic activity, minimizing energetic costs during diving. Across all groups, predictable scaling patterns in MVD and DD such as those observed in skeletal muscle did not emerge, likely reflecting the fact that unlike skeletal muscle, adipose tissue performs many different functions in marine organisms, often within the same tissue compartment.

Oxygen flux from capillary to mitochondria: integration of contemporary discoveries

Resting humans transport ~ 100 quintillion (10¹⁸) oxygen (O₂) molecules every second to tissues for consumption. The final, short distance (< 50 µm) from capillary to the most distant mitochondria, in skeletal muscle where exercising O₂ demands may increase 100-fold, challenges our understanding of O₂ transport. To power cellular energetics O₂ reaches its muscle mitochondrial target by dissociating from hemoglobin, crossing the red cell membrane, plasma, endothelial surface layer, endothelial cell, interstitial space, myocyte sarcolemma and a variable expanse of cytoplasm before traversing the mitochondrial outer/inner membranes and reacting with reduced cytochrome c and protons. This past century our understanding of O₂'s passage across the body's final O₂ frontier has been completely revised. This review considers the latest structural and functional data, challenging the following entrenched notions: (1) That O₂ moves freely across blood cell membranes. (2) The Krogh-Erlang model whereby O₂ pressure decreases systematically from capillary to mitochondria. (3) Whether intramyocyte diffusion distances matter. (4) That mitochondria are separate organelles rather than coordinated and highly plastic syncytia. (5) The roles of free versus myoglobin-facilitated O₂ diffusion. (6) That myocytes develop anoxic loci. These questions, and the intriguing notions that (1) cellular membranes, including interconnected mitochondrial membranes, act as low resistance conduits for O₂, lipids and H⁺-electrochemical transport and (2) that myoglobin oxy/deoxygenation state controls mitochondrial oxidative function via nitric oxide, challenge established tenets of muscle metabolic control. These elements redefine muscle O₂ transport models essential for the development of effective therapeutic countermeasures to pathological decrements in O₂ supply and physical performance.

Informational dynamics of vasomotion in microvascular networks: a review

Vasomotion refers to spontaneous oscillation of small vessels observed in many microvascular beds. It is an intrinsic phenomenon unrelated to cardiac rhythm or neural and hormonal regulation. Vasomotion is found to be particularly prominent under conditions of metabolic stress. In spite of a significant existent literature on vasomotion, its physiological and pathophysiological roles are not clear. It is thought that modulation of vasomotion by vasoactive substances released by metabolizing tissue plays a role in ensuring optimal delivery of nutrients to the tissue. Vasomotion rhythms exhibit a great variety of temporal patterns from regular oscillations to chaos. The nature of vasomotion rhythm is believed to be significant to its function, with chaotic vasomotion offering several physiological advantages over regular, periodic vasomotion. In this article, we emphasize that vasomotion is best understood as a network phenomenon. When there is a local metabolic demand in tissue, an ideal vascular response should extend beyond local microvasculature, with coordinated changes over multiple vascular segments. Mechanisms of information transfer over a vessel network have been discussed in the literature. The microvascular system may be regarded as a network of dynamic elements, interacting, either over the vascular anatomical network via gap junctions, or physiologically by exchange of vasoactive substances. Drawing analogies with spatiotemporal patterns in neuronal networks of central nervous system, we ask if properties like synchronization/desynchronization of vasomotors have special significance to microcirculation. Thus the contemporary literature throws up a novel view of microcirculation as a network that exhibits complex, spatiotemporal and informational dynamics.

The application of stereological methods for estimating structural parameters in the human heart

This study describes and exemplifies generally applicable design-based stereological methods for obtaining quantitative estimates of the numbers and sizes of capillaries, cardiomyocytes, and cardiomyocyte nuclei in immersion-fixed human left ventricles (N = 6). The design-based stereological methods are valid in all cardiac investigations onto quantifying changes in structure and function as seen under various conditions such as during development, aging, hypertrophy, and following ischemia/reperfusion. The applied principles of unbiased stereology were as follows: 1) uniform random sampling was taken at all levels, also in respect to orientations, for estimates of length and mean sizes. 2) All global structural quantities were estimated as total quantity = density x volume of the left ventricle. As an example, the left ventricle contains 1.5 x 10(9) capillaries with a total length of just below 200 km. 3) Stereological methods were used for estimating the volume density, surface area density, and length density of capillaries and cardiomyocytes. The numerical density of cardiomyocyte nuclei and capillaries was estimated, using the optical and physical disector, respectively. 4) In all local quantities, "size" was estimated either directly, using unbiased estimators to obtain the average individual size and size distribution parameters, or indirectly, using the relationship that: average size = total quantity/total number. In the six hearts constituting this study, we observed the anticipated correlation between left ventricular volume and global estimates such as total number of capillaries. There were no correlation between local quantities and total left ventricular volume (e.g., average star volume of individual cardiomyocytes).

Spatial Correlation Analysis of Isotropic Microvessels: Methodology and Application to Thyroid Capillaries

The study of relations between structural organization and functions of microcirculatory networks is a major aim of modern microangiology. Such a structural aspect of microvessels (MVs) as their spatial arrangement has substantial influence on their transport and other functional properties. This paper describes a methodology of spatial correlation analysis for isotropic blood and lymphatic MVs which is based on a stereological estimator of the pair correlation function [g3D(r)] created recently by the authors for systems of elongated objects. The following main features of the methodology are presented: (i) interpretation of the shape of g3D(r) curves, (ii) their quantitative description by numerical parameters, and (iii) limitations of the method arising from statistical requirements to MVs under investigation. The methodology is considered in the light of multilevel sampling designs, which are typical for biomedical morphology. The estimator with its methodological framework is applied to perifollicular blood capillaries in the adult rat thyroid. Related methods for studying the spatial arrangement of MVs are thoroughly discussed in the paper.

A Novel Three-Dimensional Computer-Assisted Method for a Quantitative Study of Microvascular Networks of the Human Cerebral Cortex

OBJECTIVE

Detailed information on microvascular network anatomy is a requirement for understanding several aspects of microcirculation, including oxygen transport, distributions of pressure, and wall shear stress in microvessels, regulation of blood flow, and interpretation of hemodynamically based functional imaging methods, but very few quantitative data on the human brain microcirculation are available. The main objective of this study is to propose a new method to analyze this microcirculation.

METHODS

From thick sections of india ink-injected human brain, using confocal laser microscopy, the authors developed algorithms adapted to very large data sets to automatically extract and analyze center lines together with diameters of thousands of brain microvessels within a large cortex area.

RESULTS

Direct comparison between the original data and the processed vascular skeletons demonstrated the high reliability of this method and its capability to manage a large amount of data, from which morphometry and topology of the cerebral microcirculation could be derived.

CONCLUSIONS

Among the many parameters that can be analyzed by this method, the capillary size, the frequency distributions of diameters and lengths, the fractal nature of these networks, and the depth-related density of vessels are all vital features for an adequate model of cerebral microcirculation.

The spatial pattern of coronary capillaries in patients with dilated, ischemic, or inflammatory cardiomyopathy

INTRODUCTION

The goal of the present study was to compare the pattern of coronary capillaries in healthy participants and in patients with end-stage heart failure due to idiopathic dilated cardiomyopathy (DCM), ischemic cardiomyopathy (ICM), or inflammatory cardiomyopathy (InfCM).

METHODS

Capillary patterns were studied in histological sections from resected hearts from patients with DCM (n=5), ICM (n=5), or InfCM (n=5) and compared with donor hearts showing no signs of cardiac disease (n=3). Patterns were characterized by the distribution of Voronoi polygon areas, A, associated with the centers of capillary profiles, nearest-neighbor distances, d, intercapillary distances (ICD), as well as by means of the pair correlation function g(r). The coefficient of variation of A, CV, was used to characterize capillary patterns as regular, random, or clustered.

RESULTS

CV increased from 30.5% (control) to 33.8% (DCM), 36.6% (ICM), and to 40.3% (InfCM). d was minimal in the control group (16.5+/-4.3 microm) and increased to 18.1+/-5.2 microm in the DCM group and to 20.9+/-6.8 and 20.6+/-6.6 microm in the ICM and InfCM groups, respectively. ICD increased from 25.6+/-7.9 (control) to 28.5+/-9.2 (DCM), 34.4+/-12.2 (ICM), and 33.6+/-12.0 microm (InfCM). In all groups, g(r) was markedly different from random points; in the control and DCM group, g(r) showed a weak but distinct first maximum, characteristic for short-range order in a point pattern.

CONCLUSIONS

Our data suggest that, for the patients studied, (1) the pattern of coronary capillaries is not purely random, (2) the regularity of the pattern diminishes from the control to DCM, ICM, and InfCM, and (3) ICD increases, whereas capillary density (CD) decreases, from control to DCM, ICM, and InfCM.

Microvascular and biochemical compensation during ventricular hypertrophy in male rainbow trout

We investigated whether there are compensatory changes in the coronary microvasculature, cardiac lipid metabolism, and myocyte ultrastructure associated with ventricular enlargement in male rainbow trout. Epicardial tissue was sampled at different stages of sexual maturation, and we estimated arterial capillary density, intercapillary diffusion distance, and applied a diffusion model to predict PO(2) at different workloads. We also measured biochemical indices of lipid metabolism and estimated fractional volumes of mitochondria and myofibrils in myocytes. Immature fish with nonenlarged ventricles had the highest capillary length densities (1620+/-158 mm mm(-3)). Maturing trout with moderate ventricular hypertrophy had lower capillary length densities (1103+/-58 mm mm(-3)) and similar diffusion distances (13.9+/-0.7 microm) compared with immature fish (11.7+/-0.9 microm). The largest ventricles had intermediate capillary length densities (1457+/-288 mm mm(-3)) and diffusion distances (12.8+/-0.8 microm). Modelling predicted that enlarged ventricles would not become anoxic even at maximal workloads. Biochemical markers of fatty acid metabolism and aerobic capacity were unchanged with hypertrophy. Volume densities of mitochondria and myofibrils were also not influenced by cardiac growth. In summary, ventricle hypertrophy results in expansion of the coronary capillary bed and the maintenance of the epicardial capacities for fat and oxidative metabolism.

Morphometry of coronary capillaries in hypoplastic left heart syndrome

BACKGROUND

Hypoplastic left heart syndrome is a condition characterized by a constellation of morphological malformations affecting the left side of the heart. We studied the capillary network, and quantified the capillarization of the ventricular myocardium, which, if different from normal, may have implications for the success of surgical reconstruction.

METHODS

The capillaries were detected by immunohistochemistry using a monoclonal antibody (von Willebrand's factor) against the endothelium. Hearts with hypoplastic left heart syndrome have higher mean and maximal diffusion distances from any arbitrary point to the nearest capillary than normal hearts.

RESULTS

There was no significant difference in the heterogeneity of capillary distribution between the hearts with hypoplastic left heart syndrome and the control heart. Increase in distance was found in both the right and left ventricles.

CONCLUSIONS

Hearts with hypoplastic left heart syndrome show a reduction in the capillarization of both the right and left ventricles compared with age-matched controls. We believe this may be an inherent abnormality of hypoplastic left heart syndrome that may have implications for ventricular development.

A computational study of the effect of capillary network anastomoses and tortuosity on oxygen transport

The objective of this study was to investigate the effects of capillary network anastomoses and tortuosity on oxygen transport in skeletal muscle, as well as the importance of muscle fibers in determining the arrangement of parallel capillaries. Countercurrent flow and random capillary blockage (e.g. by white blood cells) were also studied. A general computational model was constructed to simulate oxygen transport from a network of blood vessels within a rectangular volume of tissue. A geometric model of the capillary network structure, based on hexagonally packed muscle fibers, was constructed to produce networks of straight unbranched capillaries, capillaries with anastomoses, and capillaries with tortuosity, in order to examine the effects of these geometric properties. Quantities examined included the tissue oxygen tension and the capillary oxyhemoglobin saturation. The computational model included a two-phase simulation of blood flow. Appropriate parameters were chosen for working hamster cheek-pouch retractor muscle. Our calculations showed that the muscle-fiber geometry was important in reducing oxygen transport heterogeneity, as was countercurrent flow. Tortuosity was found to increase tissue oxygenation, especially when combined with anastomoses. In the absence of tortuosity, anastomoses had little effect on oxygen transport under normal conditions, but significantly improved transport when vessel blockages were present.

Microvessel organization and structure in experimental brain tumors: microvessel populations with distinctive structural and functional properties

We studied microvessel organization in five brain tumor models (ENU, MSV, RG-2, S635cl15, and D-54MG) and normal brain, including microvessel diameter (LMVD), intermicrovessel distance (IMVD), microvessel density (MVD), surface area (S(v)), and orientation. LMVD and IMVD were larger and MVD was lower in tumors than normal brain. S(v) in tumors overlapped normal brain values and orientation was random in both tumors and brain. ENU and RG-2 tumors and brain were studied by electron microscopy. Tumor microvessel wall was thicker than that of brain. ENU and normal brain microvessels were continuous and nonfenestrated. RG-2 microvessels contained fenestrations and endothelial gaps; the latter had a maximum major axis of 3.0 microm. Based on anatomic measurements, the pore area of RG-2 tumors was estimated at 7.4 x 10(-6) cm(2) g(-1) from fenestrations and 3.5 x 10(-5) cm(2) g(-1) from endothelial gaps. Increased permeability of RG-2 microvessels to macromolecules is most likely attributable to endothelial gaps. Three microvessel populations may occur in brain tumors: (1) continuous nonfenestrated, (2) continuous fenestrated, and (3) discontinuous (with or without fenestrations). The first group may be unique to brain tumors; the latter two are similar to microvessels found in systemic tumors. Since structure-function properties of brain tumor microvessels will affect drug delivery, studies of microvessel function should be incorporated into clinical trials of brain tumor therapy, especially those using macromolecules.

Quantification of tumour vasculature and hypoxia by immunohistochemical staining and HbO2 saturation measurements

Despite the possibility that tumour hypoxia may limit radiotherapeutic response, the underlying mechanisms remain poorly understood. A new methodology has been developed in which information from several sophisticated techniques is combined and analysed at a microregional level. First, tumour oxygen availability is spatially defined by measuring intravascular blood oxygen saturations (HbO2) cryospectrophotometrically in frozen tumour blocks. Second, hypoxic development is quantified in adjacent sections using immunohistochemical detection of a fluorescently conjugated monoclonal antibody (ELK3-51) to a nitroheterocyclic hypoxia marker (EF5), thereby providing information relating to both the oxygen consumption rates and the effective oxygen diffusion distances. Third, a combination of fluorescent (Hoechst 33342 or DiOC7(3)) and immunohistological (PECAM-1/CD31) stains is used to define the anatomical vascular densities and the fraction of blood vessels containing flow. Using a computer-interfaced microscope stage, image analysis software and a 3-CCD colour video camera, multiple images are digitized, combined to form a photo-montage and revisited after each of the three staining protocols. By applying image registration techniques, the spatial distribution of HbO2 saturations is matched to corresponding hypoxic marker intensities in adjacent sections. This permits vascular configuration to be related to oxygen availability and allows the hypoxic marker intensities to be quantitated in situ.

Vascular morphometry of KHT and RIF-1 murine sarcomas

Although tumor oxygenation and vascular structure have been studied extensively, previous work has most often been qualitative in nature. To clarify underlying physiological mechanisms, a more quantitative approach is needed. The current work considers two murine tumor lines of differing radiobiological hypoxic fraction (HF), the RIF-1 and the KHT fibrosarcomas. Following intravascular injection of India ink, histological sections were prepared and quantitated in terms of anatomical blood vessel-tumor cell distance distributions and vessel diameters. Vessel diameters increased with increasing tumor volume for RIF-1 tumors, while not changing significantly for the KHT. The fraction of the tumor within a given distance of the nearest blood vessel, varied as a function of: (i) tumor line, (ii) distance from tumor surface, and (iii) tumor volume. For small-volume tumors, intertumor differences in vessel-tumor cell distances correlated with differences in radiobiological HF, while for large-volume tumors, vessel-tumor cell differences were not significantly different between tumor lines. Combining current findings with previously determined intravascular oxyhemoglobin distributions in the same two tumor lines, it was apparent that not only is a substantial portion of the tumor volume beyond the expected oxygen diffusion limits of blood vessels, but, in addition, a relatively low percentage of these vessels is capable of supplying oxygen.

Maximal diffusion-distance within skeletal muscle can be estimated from mitochondrial distributions

Mitochondrial volume density (Vv [mit]) distributions were measured with a test pattern of concentric rings centered upon randomly chosen capillaries in oxidative skeletal muscle cells of two Antarctic fishes, Trematomus newnesi and Notothenia gibberifrons. Vv(mit) in both species was highest in the ring closest to the capillary, minimal further from the capillary (at a distance that was characteristic for each species), and rose in the annuli furthest from the capillary. Plots of Vv(mit) against total area between each ring and the central capillary fit the form of a second-order polynomial (r2 greater than 0.9). If PO2 or blood-borne metabolite concentration predicates the pattern of Vv(mit) distribution, minimal Vv(mit) is at the same position as the minimum in concentration or gaseous partial pressure of capillary-supplied commodities. This minimum is the boundary between cylinders of tissue being supplied by adjacent capillaries, and thus delineates the maximal diffusion-distance for capillary-supplied commodities. Maximal diffusion-distance (microns) for T. newnesi = 26.23 +/- 1.64; N. gibberifrons = 21.45 +/- 0.51. For O2, maximal diffusion-distance conventionally is referred to as Krogh's radius, R. With an easily obtained estimate of numerical capillary density, these R values can be used to calculate a capillary tortuosity constant (c[k,0]) and capillary length density (Jv[c,f]). c(k,0) values were also determined using an established method, and R and Jv(c,f) values calculated from these values did not significantly differ from values determined from mitochondrial distributions. Mitochondrial distribution analysis may more accurately reflect changes in capillary blood flow and heterogeneity of diffusion and solubility constants within muscle than currently existing techniques. Similar distributions of Vv(mit) reported for several species of vertebrates suggest wide applicability of the method.

New perspectives on left ventricular hypertrophy: anatomy, physiology, and significance

The advent of echocardiography has added an important and sensitive tool for assessment of left ventricular hypertrophy (increased left ventricular mass). Recent echocardiographic studies in large population-based samples suggest an epidemic of left ventricular hypertrophy. Preliminary data suggesting important prognostic importance for such left ventricular hypertrophy (independent of standard risk factors) has fueled interest in the development, determinants, and other features of the hypertrophy. Hemodynamic and neurohumoral factors are the most prominent stimuli to adaptive (physiologic) myocardial hypertrophy, which can progress to maladaptive (pathologic) hypertrophy. The overall blood pressure experience, overweight, the cardiovascular response to recurrent psychosocial stress and physical activity level are four important correlates and potential determinants of left ventricular mass in various urban-suburban populations. Determination of the relative contributions and interrelations of these and other factors (such as heredity) to various forms of left ventricular hypertrophy found in various demographic groups warrants intensive investigation.

Quantifying capillary distribution in four dimensions

Analysis of spatial distribution using numerical (O-D) distribution is limited to global estimates, while linear (1-D) separation of capillaries may be used to describe unrealistic spatial patterns. Intramuscular diffusion is best viewed as an integration of all distances between surrounding capillaries, or area (2-D) of influence for individual vessels. True planar analysis also accommodates other forms of heterogeneity, and may be extrapolated to give the volume (3-D) of tissue supplied by capillaries. Temporal (4-D) heterogeneity in functional spacing may then be quantified.

Capillary spatial pattern and muscle fiber geometry in three hamster striated muscles

The primary goal of this project was to elucidate the spatial pattern of capillaries in three hamster striated muscles according to statistical techniques of pattern analysis. The spatial pattern of capillaries and traditional measures of capillarity are important to understanding the supply and distribution of oxygen and nutrients in a tissue. Statistical tests based on the distance between nearest neighbor capillaries are the most sensitive for detecting regularity in a pattern. A mathematical model was created to simulate the observed muscle fields. The same statistical tests that were performed on the empirical data were performed on the modelled data. The results of the analysis of the modelled data agree sufficiently with those of the empirical data to justify overall confidence in the assumptions. Conclusions that may be drawn from this investigation are (1) the spatial pattern of capillaries tends to be more regular than random and never was there evidence for aggregation using the test statistics; (2) as many as 60-75% of capillaries are located at the corners of muscle fibers indicating that there is some preferential placement for capillaries, and (3) the model developed is a good first approximation to the real situation.

Differing patterns of capillary distribution in fish and mammalian skeletal muscle

The heterogeneity of capillary supply to muscles of different metabolic capacity and fibre size was assessed in slow and fast muscles from a fish and a mammal. The area surrounding each capillary delineated by equidistant boundaries from adjacent vessels, the capillary domain, was derived from morphometric analysis of histological sections. This 2-D integration of intercapillary distances may reveal heterogeneity of supply that is hidden by a global approach, especially when compared with the more usual 0- and 1-D indices of capillarisation. Mean radii of the equivalent Kroghian tissue cylinders (R) and heterogeneity of their lognormal distribution, represented by the logarithmic standard deviation (LogSD), were calculated. In eel slow muscle there was a 35-fold greater capillary density (CD) than fast muscle (698 vs 20 mm-2) although heterogeneity of capillary spacing was similar (LogSD congruent to 0.06). The difference in CD between slow and fast muscles of rat was less pronounced, but there was significantly lower heterogeneity in the aerobic tissue (LogSD = 0.08 vs 0.10) corresponding to a range in domain area of around 350-2300 microns 2 and 400-2900 microns 2, respectively. The overall capillary to fibre ratio (C:F) is inappropriate for sparse networks where many fibres lack direct capillary contact. The cumulative fraction of individual domains overlapping a muscle fibre (local capillary to fibre ratio, LCFR) plotted against fibre area showed the best correlation of any index in all tissue and was strongest in both fish muscles (r = 0.9), indicating a functionally homologous spatial distribution of capillaries with respect to muscle fibres in tissue of widely differing oxidative capacity. These data suggest that maximal oxygen supply to, or metabolite removal from, muscle fibres is not restricted to contiguous capillaries but also involves those remote from the fibre surface.

Muscle capillarity in rats with increased blood oxygen affinity

To investigate the effects of low P50Hb on muscle capillarity, rats were injected with Na-cyanate (50 mg/kg BW) every day for 2 or 4 weeks (experimental). Controls received injections of saline. After 2 weeks P50 was reduced in the experimental animals (20.4 vs 30.3 Torr). After 4 weeks experimental animals showed a 13% increase in hematocrit and Hb. PVO2 was lower in experimental than in control rats (28.3 +/- 1.0 vs 33.8 +/- 4.7 mm Hg). Fiber cross-sectional area (FCSA), capillary density (CD) and capillary-to-fiber ratio (C/F) were measured in sections treated with the ATPase technique. FCSA was smaller in experimental than in controls (3000 +/- 491 vs 4121 +/- 415 micron 2 for the soleus and 3633 +/- 236 vs 4251 +/- 194 micron 2 for the gastrocnemius) and CD was higher (729 +/- 99 vs 578 +/- 75 cap/mm2 in the soleus and 388 +/- 19 vs 323 +/- 14 cap/mm2 in the gastrocnemius) but C/F was not different. Diffusion distances for O2 measured by the closest individual method were not significantly different between the two groups. The higher CD in the experimental animals seems to be the result of their smaller FCSA and not the result of capillary proliferation. The volume of tissue served by a capillary was significantly reduced in the experimental animals. This could help the transfer of O2 to the muscle in animals with a low P50 Hb.

Volume density and distribution of mitochondria in myocardial growth and hypertrophy

The volume density and distribution of mitochondria relative to capillaries have been measured using the technique of point counting in concentric rings, on normal and hypertrophied guinea pig myocardium. Right ventricular hypertrophy was produced by hypobaric hypoxia. In control guinea pigs right ventricular weight increased linearly with body weight. In control and hypoxic guinea pigs fiber cross sectional area (FCSA) and ventricular weight were related by a single straight line. Capillary density decreased hyperbolically with FCSA in both control and hypoxic animals. Capillary density was significantly higher (P less than 0.001) in the right ventricles of the hypoxic animals than in controls when the fibers were small but this difference disappeared as the fibers hypertrophied beyond FCSA values of 260 microns2. Volume density of mitochondria reached a peak (29-35%) close to the capillary but then decreased significantly in the spaces farthest from the capillary (mean 25.2%). There was no significant difference in peak mitochondrial volume density in controls versus hypoxic animals. There was thus an increase in the total volume of mitochondria in these myofibers that was in direct proportion to the increases in FCSA and heart volume. The highest volume density of mitochondria was found at a distance that is approximately 15% of the total distance over which O2 must diffuse in myocardial tissue and the peak volume density of mitochondria was thus a function of capillary density. The speculation is presented that the distribution of mitochondria may be related both to oxygen supply to the mitochondria and to the movement of high energy phosphate compounds out of mitochondria for use by myofibrils.

Morphometric analysis of sparse capillary networks

Two methods were used to assess the heterogeneity of capillary supply to muscles of widely differing metabolic capacity and fibre size. Using the method of capillary domains (DOM; Hoofd et al., 1985) and the closest-individual method (CI; Kayar et al., 1981) radii of Kroghian cylinders (R) can be calculated, and the heterogeneity of their lognormal distribution represented by the logarithmic standard deviation (Log SD). Both methods yield similar values for mean R in a tissue. DOM is more direct and quicker than CI, and may be particularly useful in the analysis of capillary oxygen supply during functional hypertrophy and in muscle regeneration where a broad distribution of fibre areas may be found. Despite a 500-fold range of capillary density, to a minimum of 20 capillaries mm-2, heterogeneity of capillary supply was similar in all muscles, indicating a functionally homologous spatial distribution. The relationship between number of fibres overlapped by a capillary domain, and domain area has zero correlation in most tissues but shows a negative trend in fish fast muscle, reflecting hyperplastic and hypertrophic growth. Capillary/fibre ratio is inappropriate for sparse networks whereas the cumulative fraction of domains vs fibre area shows a strong correlation, suggesting that maximal oxygen supply to muscle fibres is not restricted to contiguous capillaries, but also involves those remote from the fibre surface.

Acute effects of endurance exercise on mitochondrial distribution and skeletal muscle morphology

Biopsies of vastus lateralis from seven well-trained males were studied 1 month before and 15-30 min after a 100-km race. The distribution of interfibrillar mitochondria was analyzed to determine whether a long bout of exercise induced a redistribution of mitochondria. Capillary densities and mean fiber areas were also estimated. Capillary density and mean interfibrillar mitochondrial volume density were found to be significantly correlated with running time in the race. An earlier study on these biopsies found that the mean volume densities of interfibrillar and subsarcolemmal mitochondria did not change after a race, but the volume densities of lipid droplets and interfibrillar glycogen decreased significantly. In the present study, volume density of interfibrillar mitochondria [Vv(mi,fim)] before the race was highest with a value of 0.098 +/- 0.007 near the fiber border, and decreased progressively with distance to 0.045 +/- 0.004 at the fiber center. After the race, Vv(mi,fim) was unchanged at the fiber border, but was significantly higher (0.062 +/- 0.005) in the center of the fiber. This increase in mitochondrial volume density was attributable to the shrinkage of the fibers from consumption of energy stores, which was relatively greater for interfibrillar glycogen than for subsarcolemmal glycogen. Thus the primary effect of this extended bout of endurance exercise on vastus lateralis was the nearly complete depletion of the interfibrillar glycogen and lipids, but there was no evidence of an acute redistribution of mitochondria.

Sequential perfusion of skeletal muscle capillaries

Rats were injected intraarterially with a fluorescent dye that binds to capillary endothelium, thereby labeling any capillary through which it has passed. After 10, 15, or 30 sec of circulation of the dye blood flow was interrupted, the gastrocnemius was frozen, and the density and distribution of labeled capillaries were measured in transverse sections of the central portion of the medial head. These tissue sections were then counterstained by the myosin ATPase method for capillaries to mark all capillaries. After 10 sec, 45% of all capillaries were labeled and after 15 sec, 59% of all capillaries were labeled. Thirty seconds after injection, all capillaries were labeled with the fluorescent dye. In all three time intervals, the distributions of labeled capillaries were ordered, suggesting that there is a tissue-level control mechanism for regulating capillary perfusion to maintain relatively short maximal oxygen diffusion distances.

Increased capillarity in skeletal muscle of growing guinea pigs acclimated to cold and hypoxia

Capillarity was evaluated on transverse sections of frozen gastrocnemius and soleus muscles of young, growing guinea pigs exposed to the combined stresses of cold (6 degrees C) (C) and hypoxia (ambient PO2 = 85 Torr) (H) for up to 16 weeks and these data were compared to those obtained in a control group of guinea pigs kept in Denver (22 degrees C, ambient PO2 = 133 Torr). Capillarity was assessed from measurements of capillary density and capillarity density to fiber density ratios. Mean (R) and maximal (R95) diffusion distances were measured by the closest individual method. The body growth rate of guinea pigs exposed to C + H was the same as that in the control condition. The gastrocnemius muscle grew at the same rate as in the control guinea pigs. Exposure to C + H produced a significant (P less than 0.001) increase in the capillary density and the C/F of the gastrocnemius, reducing the mean and the maximal diffusion distances. However, the soleus muscles of the guinea pigs in C + H did not grow at the same rate and relative to body size the soleus muscles of these guinea pigs in C + H were smaller due to their smaller fiber cross-section area; consequently, there was a relatively larger capillarity in these muscles. It is hypothesized that the increased muscle capillarity in animals exposed to C + H results from a marked lowering of the tissue PO2 which may result from a leftward shift of the Hb-O2 dissociation curve.

Effects of hypoxia on muscle capillarity in rats

Capillary density, fiber cross-sectional area, capillary/fiber ratio and fiber composition were determined in gastrocnemius and diaphragm muscles of laboratory rats following five weeks at 350 Torr ambient pressure. Growth rates of hypoxic rats were lower than normoxic controls, but the periods of sacrifice were adjusted to achieve similar body masses for the two groups. Hypoxic rats had significantly higher hematocrits and heart masses, characteristic of acclimation to hypoxia. However, capillary/fiber ratios in gastrocnemius and diaphragm were similar for hypoxic and normoxic rats suggesting that hypoxia did not stimulate capillarity in either muscle. In diaphragm, but not gastrocnemius, diffusion distances were significantly shorter in hypoxic rats than in controls. We conclude that the differences in diffusion distances represent an important secondary effect of hypoxia on the diaphragm associated with changes in demands on ventilation in response to low oxygen pressures.

Protamine inhibits capillary formation in growing rat hearts

Various indices of capillary supply to the rat heart were studied in neonatal rats injected for 2 or 4 weeks with protamine sulfate in saline (subcutaneously, 60 mg/kg body weight, 2 times/day). Cardiac capillarization was evaluated not only by traditional indices for the capillary supply, such as mean capillary density and myocyte-to-capillary ratio, but also by a more advanced morphometric method of capillary domains. This method allows the estimation of both the average radius of the Krogh tissue cylinder and its variability, which reflects the heterogeneity of capillary spacing found to be an independent morphological determinant of oxygen diffusion in the tissue. The results were evaluated with respect to regional differences (subendocardial vs. middle section), age differences, and the effect of protamine. No regional differences in capillary supply were found in this experimental situation. Hearts from older rats had significantly decreased capillary supply, expressed as lower capillary density, larger capillary domains, and greater radius of the tissue cylinder. On the other hand, the heterogeneity of capillary spacing decreased significantly with age. Protamine-injected animals, when compared to their control littermates, had a significantly higher cell-to-capillary ratio, lower capillary density, larger capillary domains, greater radius of the tissue cylinder, and larger variability in capillary spacing. Thus, protamine was effective in impeding rapid capillary growth in the hearts from rats in the early postnatal period. Close to half of all the existing capillaries in the adult rat hearts are formed during the first 3-4 postnatal weeks.

Myocardial capillarity in acclimation to hypoxia

Capillarity, O2 diffusion distances and fiber cross-sectional growth were measured in the hearts of guinea pigs exposed early during growth to hypobaric hypoxia (PB = 430 torr, PO2 = 90 torr). Twelve 5-week old males were maintained in a hypobaric chamber for 4-14 weeks. Their hearts were perfusion-fixed via the aorta with a 2.5% glutaraldehyde, 1% formaldehyde buffered solution; blocks were cut from left (LV) and right (RV) ventricles, post-fixed in OsO4, dehydrated and embedded in Spurr medium. Blocks were cut transversely to fiber orientation, 0.5 micron thick, stained with Toluidine Blue, and photographed at 400 X. Number and location of capillaries and fiber cross-sectional areas (FCSA) were scored from these photographs and from those of normoxic controls. Growth rates were similar for control and hypoxic guinea pigs. As animals grew, LV and RV weights increased linearly with body weight. Hypoxic guinea pigs had LV weights similar to controls but the RV showed varying degrees of hypertrophy. Control and hypoxic guinea pigs showed similar linear increases in FCSA with ventricular weight, suggesting that hypertrophy was due to increased FCSA. Capillary density (CD) decreased and capillary-to-fiber ratio (C:F) increased with FCSA, and O2 diffusion distances lengthened in LV and RV of animals in both groups. CD and C:F were higher and O2 diffusion distances were shorter in most hypoxic animals compared to controls. When RV hypertrophy was large (RV greater than 0.7 g) and failure imminent, CD, C:F and O2 diffusion distances were similar to controls suggesting that in these hearts oxygenation was impaired.

Capillarity, oxidative capacity and fibre composition of the soleus and gastrocnemius muscles of rats in hypothyroidism

Muscle capillarity, mean and maximal diffusion distances and muscle fibre composition were evaluated in frozen sections stained for myosin ATPase of the soleus and the white area of the gastrocnemius medial head (gastrocnemius) of rats made hypothyroid by the injection of propylthiouracil (PTU) (50 mg kg-1) every day for 21 or 42 days. Oxygen consumption in the presence of excess ADP and Pi with pyruvate plus malate as substrates and the activity of cytochrome c oxidase were measured in muscle homogenates. Treatment with PTU decreased body oxygen consumption and the concentration of triiodothyronine in plasma. The capacity of the soleus and gastrocnemius muscles' homogenates to oxidize pyruvate plus malate and their cytochrome c oxidase activity were reduced after 21 or 42 days of treatment with PTU. Fibre composition in the soleus muscle was changed by treatment with PTU. There was a decrease in the proportion of type IIa or fast glycolytic oxidative fibres and an increase in type I or slow oxidative fibres. After 21 days of PTU administration there was also an increase in the proportion of fibres classified as IIc. The changes in fibre composition are believed to be the result of changes in the types of myosin synthesized by the fibres. Therefore, the fibres classified as IIc are, most probably, IIa fibres in the process of changing their myosin to that of the type I fibres. No changes in fibre composition were evident in the white area of the gastrocnemius medial head, an area made up of IIb or fast glycolytic fibres. The indices of capillarity: capillary density and capillary to fibre ratio, as well as mean and maximal diffusion distances from the capillaries, were not changed by the treatment with PTU in the muscles studied. The lack of changes in capillarity in spite of significant changes in oxidative capacity indicates that in skeletal muscle capillarity is not necessarily related to the oxidative capacity of the fibres.

Capillarity and oxygen diffusion distances of the soleus muscle of guinea pigs and rats. Effects of hyperthyroidism

The relationship between capillarity and oxidative capacity in the soleus muscle of rats and guinea pigs injected with triiodothyronine (T3) or with saline for up to 4 weeks was studied. The rats' soleus weight and FCSA were not affected by T3, but the guinea pigs that received T3 had smaller muscle weight and FCSA than the controls. The activities of cytochrome c oxidase and citrate synthase were significantly (41 and 65%) higher in the T3 than in the control rats. T3 administration did not affect the activities of these enzymes in the soleus of the guinea pigs. Capillary density (CD) was higher in T3 rats (892 +/- 80 vs 622 +/- 54 caps/mm2), and in T3 guinea pigs (1219 +/- 95 vs 739 +/- 142 caps/mm2). The higher CD in T3 rats was due to growth of new microvessels, while in the T3 guinea pigs it was due to a reduction in FCSA. Mean and maximal diffusion distances evaluated by the closest individual method were reduced by 2.02 and 3.37 microns in rats, and by 3.73 and 6.16 microns in guinea pigs. The magnitude of the reduction in diffusion distances brought about by the increased capillary density was partially offset by a concomitant change in the capillary arrangement from an ordered (hexagonal), towards a random distribution. These results seem to indicate that skeletal muscle capillarity is not necessarily determined by the oxidative capacity of the fibers.

Volume overload hypertrophy elicited by cold and its effects on myocardial capillarity

Capillarity and fiber cross-sectional areas were measured in the hearts of guinea pigs exposed to cold early during growth. Twelve male guinea pigs were kept at 5 +/- 1 degrees C for 4-18 weeks. Hearts were perfusion fixed via the aorta with a 2.5% glutaraldehyde, 1% formaldehyde-buffered solution, blocks were cut from left (LV) and right (RV) ventricles, post-fixed in OsO4, dehydrated and embedded in Spurr medium. Blocks were cut transversely to fiber orientation, 0.5 micron thick, stained with Toluidine Blue and photographed at 400 x. Heart weights, number and location of capillaries and fiber cross-sectional areas (FCSA) were measured in cold-acclimated animals and in normothermic controls. Growth rates for all guinea pigs were similar. Acclimation to cold caused modest LV and RV hypertrophy. The greater LV weight seemed due to longer fibers of normal FCSA, whereas the greater RV weight was due to larger FCSA. Capillary density, capillary-to-fiber ratio and number of capillaries around the fibers were similar in the two groups of animals. Mean and maximal diffusion distances in cold-acclimated animals were not different from controls. Thus the myocardial hypertrophy induced by chronic volume overload was fully compensated for by increases in capillarity commensurate with increases in fiber girth.

Distribution of capillaries and diffusion distances in guinea pig myocardium

A frequency distribution of distances from random points to the nearest capillary was generated from high-magnification photomicrographs of thin sections of the myocardium of seven guinea pigs. Individual mean capillary densities taken from regions viewed in transverse section ranged from approximately 1800 to 2500 capillaries/mm2. Mean (R) and maximal (R95) diffusion distances measured by the closest individual method ranged from R = 6.6 to 8.7 microns and R95 = 11 to 18 microns. Further mathematical analysis of the frequency distributions of diffusion distances indicated that the capillaries of the myocardium are distributed in an ordered array.

The distribution of diffusion distances in the gastrocnemius muscle of various mammals during maturation

Large changes in fiber size, capillary density and capillary/fiber architecture occur during maturation of mammalian skeletal muscle. To examine the effect of these changes on oxygen diffusion distance, the mean (R) and maximal (R95) distances from the capillary to the tissue were measured in the gastrocnemius of maturing guinea pigs, rats and dogs. Hyperbolic relationships between capillary density and R and between capillary density and R95 were found for the combined data from these three species. The R and R95 increased with decreasing CD in growing guinea pigs and rats, but they remained constant in dogs. Statistical analyses showed that the capillaries in this muscle in all three species tended to be distributed in ordered arrays. These anatomical measurements are discussed in relation to their potential physiological impact on oxygen delivery to tissues.