Fractal analysis of vascular networks: Insights from morphogenesis

Considering their extremely complicated and hierarchical structure, a long standing question in vascular physio-pathology is how to characterize blood vessels patterns, including which parameters to use. Another question is how to define a pertinent taxonomy, with applications to normal development and to diagnosis and/or staging of diseases.To address these issues, fractal analysis has been applied by previous investigators to a large variety of healthy or pathologic vascular networks whose fractal dimensions have been sought. A review of the results obtained on healthy vascular networks first shows that no consensus has emerged about whether normal networks must be considered as fractals or not.Based on a review of previous theoretical work on vascular morphogenesis, we argue that these divergences are the signature of a two-step morphogenesis process, where vascular networks form via progressive penetration of arterial and venous quasi-fractal arborescences into a pre-existing homogeneous capillary mesh. Adopting this perspective, we study the multi-scale behavior of generic patterns (model structures constructed as the superposition of homogeneous meshes and quasi-fractal trees) and of healthy intracortical networks in order to determine the artifactual and true components of their multi-scale behavior. We demonstrate that, at least in the brain, healthy vascular structures are a superposition of two components: at low scale, a mesh-like capillary component which becomes homogeneous and space-filling over a cut-off length of order of its characteristic length; at larger scale, quasi-fractal branched (tree-like) structures. Such complex structures are consistent with all previous studies on the multi-scale behavior of vascular structures at different scales, resolving the apparent contradiction about their fractal nature.Consequences regarding the way fractal analysis of vascular networks should be conducted to provide meaningful results are presented. Finally, consequences for vascular morphogenesis or hemodynamics are discussed, as well as implications in case of pathological conditions, such as cancer.     

Generation of peptides by human erythrocytes: facts and artifacts

Previously reported data on peptide composition of human erythrocyte lysate were obtained under conditions that did not exclude proteolytic degradation of hemoglobin in the process of peptide isolation. Comparative chromatographic analysis of the diluted erythrocyte lysate incubated in acidic conditions with or without proteolytic enzyme inhibitors showed that several peptides earlier identified as intraerythrocyte ones in fact result from hemoglobin degradation by erythrocyte acidic protease(s) during incubation of the lysate. A rational scheme excluding postlysis proteolysis was developed for isolation of peptide fraction. Further analysis resulted in determination of structure and content of about 50 endogenous intraerythrocyte hemoglobin fragments. A primary endopeptidase splitting of alpha- and beta-globin chains followed by consecutive exopeptidase trimming of primary fragments is suggested as a degradation mechanism. The intraerythrocyte peptides were shown to differ from peptides excreted by the erythrocytes to the extracellular medium in the primary culture. It was also found that intraerythrocyte peptides cannot play the role of precursors of hemoglobin fragments present in tissue extracts.     

Chemical analysis of phenolic glycosides: art,facts, and artifacts

Summary Phenolic glycosides have been the subject of considerable interest in recent ecological and systematic studies, especially those involving the Salicaceae. But these compounds are markedly labile in aqueous media, and the consequences of spontaneous degradation for valid interpretation of results have been largely ignored by researchers. We found that freeze-drying and oven-drying of leaf samples from several Populus and Salix species produced dramatic changes in the total and relative concentrations of specific phenolic glycosides, when compared to analyses of fresh material. Extraction in aqueous and alcoholic media for extended (24 h) periods also effected changes in glycoside concentrations. Alterations in phenolic glycoside concentrations, interconversions among glycosides, and production of artifactual glycosides result from a series of hydrolytic reactions. These deleterious effects can be best (but not entirely) avoided by the use of fresh plant material, cold, nonaqueous extraction solvents, and short extraction times. Because individual phenolic glycosides exhibit very different biological activities against herbivores, we caution ecologists to use utmost care in the performance and interpretation of phenolic glycoside assays.     

The Haldane malaria hypothesis: facts, artifacts, and a prophecy

Heterozygous thalassemia and sickle cell disease produce mild hematological symptoms but provide protection against malaria mortality and severe malaria symptoms. Two explanations for resistance are considered in the literature - impaired growth of the parasite or enhanced removal by the host immune cells. A critical overview of studies that connect malaria resistance with impaired intra-erythrocytic growth is presented. All studies are fraught with two kinds of bias. The first one resides in the impossibility of reproducing the in vivo situation in the simplified model in vitro. The second stems from the generalized use of RPMI 1640 culture medium. RPMI 1640 has critically low levels of several amino acids; is devoid of hypoxanthine (essential for parasite growth) and adenine; and is low in reduced glutathione. Analysis of representative studies indicates that impaired parasite growth in heterozygous red blood cells (RBCs) may derive from nutrient limitations and, therefore, possibly be of artefactual origin. This conclusion seems plausible because studies were performed with RPMI 1640 medium at relatively high hematocrit and for prolonged periods of time. Mutations considered are particularly sensitive to nutrient deprivation because they have higher metabolic demands due to permanent oxidant stress related to unpaired globin chains, sickle hemoglobin and high levels of membrane-free iron. In addition, non-parasitized AS- and thalassemic-RBCs are dehydrated and microcytic. Thus, the number of metabolically active elements per unit of blood volume is remarkably larger in mutant RBCs compared to normocytes. The latter point may represent a confirmation of Haldane's prophetic statement: 'The corpuscles of the anaemic heterozygotes are smaller than normal, and more resistant to hypotonic solutions. It is at least conceivable that they are also more resistant to attacks by the sporozoa which cause malaria.'     

Measurement of oxidatively generated base damage to nucleic acids in cells: facts and artifacts

The search for DNA biomarkers of oxidative stress has been hampered for several decades by the lack of relevant information on base oxidation products and the challenging issue of measuring low amounts of lesions, typically a few modifications within the range 10⁶?C10⁸ normal bases. In addition and this was ignored for a long time, there is a risk of artifactual oxidation of overwhelming nucleobases during DNA extraction and subsequent workup that has led to overestimation of some base damage up to 2?C3 orders of magnitude. The main aim of the survey is to critically review the available methods that have been developed for measuring oxidatively generated base damage in nuclear and mitochondrial DNA. Among the chromatographic methods, high-performance liquid chromatography associated with tandem mass spectrometry (HPLC?CMS/MS) is the most accurate and versatile approach whereas HPLC?Celectrochemical detection (ECD) is restricted to electrochemically active modifications. These methods allow measuring several single oxidized pyrimidine and purine bases, tandem base lesions and interstrand DNA cross-links in nuclear DNA. As complementary analytical tools, enzymatic methods that associate DNA repair enzymes with either the alkaline comet assay or the alkaline elution technique are suitable for assessing low variations in the level of different classes of oxidatively generated DNA lesions. Most of the immunoassays suffer from a lack of specificity due to the occurrence of cross-reactivity with overwhelming normal bases. One major exception concerns the immunodetection of 5-hydroxymethylcytosine, produced in a relatively high yield as an epigenetic DNA modification. HPLC?CMS/MS is now recognized as the gold standard for measuring oxidized bases and nucleosides in human fluids such as urine, saliva, and plasma.     

Theoretical models for coronary vascular biomechanics: progress & challenges

A key aim of the cardiac Physiome Project is to develop theoretical models to simulate the functional behaviour of the heart under physiological and pathophysiological conditions. Heart function is critically dependent on the delivery of an adequate blood supply to the myocardium via the coronary vasculature. Key to this critical function of the coronary vasculature is system dynamics that emerge via the interactions of the numerous constituent components at a range of spatial and temporal scales. Here, we focus on several components for which theoretical approaches can be applied, including vascular structure and mechanics, blood flow and mass transport, flow regulation, angiogenesis and vascular remodelling, and vascular cellular mechanics. For each component, we summarise the current state of the art in model development, and discuss areas requiring further research. We highlight the major challenges associated with integrating the component models to develop a computational tool that can ultimately be used to simulate the responses of the coronary vascular system to changing demands and to diseases and therapies.     

Fractal dimensions and multifractility in vascular branching

A definition for the fractal dimension of a vascular tree is proposed based on the hemodynamic function of the tree and in terms of two key branching parameters: the asymmetry ratio of arterial bifurcations and the power law exponent governing the relation between vessel diameter and flow. Data from the cardiovascular system, which generally exhibit considerable scatter in the values of these two parameters, are found to produce the same degree of scatter in the value of the fractal dimension. When this scatter is explored for a multifractal pattern, however, it is found that the required collapse onto a single curve is achieved in terms of the coarse H?lder exponent. Thus, the presence of multifractility is confirmed, and the legitimacy of the defined dimension is affirmed in the sense of the theoretical Hausdorff limit in as much as this limit can be reached with experimental data.     

Cine 4DCT imaging artifacts: Quantification and correlations with scanning parameters and target kinetics

To study temporal resolved computed tomography imaging (4-Dimensional Computed Tomography: 4DCT) artifacts correlations with scanning parameters and target kinetics and to assess uncertainty introduced by 4DCT in radiotherapy treatment planning.In this work we classified 4DCT artifacts as finite gantry rotation speed related (FGS) and finite sampling frequency related (FSF). We studied FGS artifacts using a respiratory phantom and FSF artifacts using a Monte Carlo simulation of acquisition timing.From our analysis FGS localization error is comparable with image resolution determined by voxel dimensions. Remaining FGS artifacts are correlated with gantry rotation time (Trot), target velocity (v) and their interaction.FSF artifacts occurrence is correlated with sampling ratio (SR), i.e. the ratio of patient respiratory period (Tresp) and sampling time (Ts).In the studied velocity range (0–2 cm/s), using a Trot of 0,5s and a SR higher than 15, FGS and FSF artifacts became comparable with other sources of uncertainty.Our considerations are valid for “ideal” breathing pattern only. When variations from periodical breathing, high target velocity (more than 2 cm/s) or high peak to peak amplitude (more than 2 cm) are present, patient specific images artifacts analysis is recommended.     

Nutraceuticals: facts and fiction

Epidemiological studies show a link between the consumption of plant-derived foods and a range of health benefits. These benefits have been associated, at least partially, to some of the phytochemical constituents, and, in particular, to polyphenols. In the last few years, nutraceuticals have appeared in the market. These are pharmaceutical forms (pills, powders, capsules, vials, etc.) containing food bioactive compounds as active principles. The bioactive phytochemicals have become a very significant source for nutraceutical ingredients. Scientific research supports the biological activity of many of these food phytochemicals, but the health claims attributed to the final marketed nutraceutical products have often little or doubtful scientific foundation. This is due to the fact that a lot of the scientific evidence is derived from animal testing and in vitro assays, whereas human clinical trials are scarce and inconclusive. Some key issues such as bioavailability, metabolism, dose/response and toxicity of these food bioactive compounds or the nutraceuticals themselves have not been well established yet. Amongst the phytochemicals, several groups of polyphenols (anthocyanins, proanthocyanidins, flavanones, isoflavones, resveratrol and ellagic acid) are currently used in the nutraceutical industry. In this report, we have reviewed the most recent scientific knowledge on the bioavailability and biological activity of these polyphenols ('fact'), as well as the health claims (which are not always supported by scientific studies) ascribed to the polyphenols-containing nutraceuticals ('fiction'). The in vitro antioxidant capacity, often used as a claim, can be irrelevant in terms of in vivo antioxidant effects. Bioavailability, metabolism, and tissue distribution of these polyphenols in humans are key factors that need to be clearly established in association to the biological effects of these polyphenols-containing nutraceuticals. The future trends of phytochemistry research regarding nutraceuticals are discussed.     

Elastic and collagenous networks in vascular diseases

Supravalvular aortic stenosis (SVAS), Marfan syndrome (MFS) and Ehlers-Danlos syndrome type IV (EDS IV) are three clinical entities characterized by vascular abnormalities that result from mutations of structural components of the extracellular matrix (ECM). Analyses of naturally occurring human mutations and of artificially generated deficiencies in the mouse have provided insights into the pathogenesis of these heritable disorders of the connective tissue. SVAS is associated with haploinsufficiency of elastin, one of the two major components of the elastic fibers. SVAS is characterized by narrowing of the arterial lumen due to the failure of regulation of cellular proliferation and matrix deposition. Mutations in fibrillin 1 are the cause of dissecting aneurysm leading to rupture of the ascending aorta. Fibrillin-1 is the building block of the microfibrils that span the entire thickness of the aortic wall and are a major component of the elastic fibers that reside in the medial layer. The vascular hallmark of EDS IV is rupture of large vessels. The phenotype is caused by mutations in type III collagen. The mutations ultimately affect the overall architecture of the collagenous network and the biomechanical properties of the adventitial layer of the vessel wall. Altogether, these genotype-phenotype correlations document the diversified contributions of distinct extracellular macroaggregates to the assembly and function of the vascular matrix.