Evaluation of self-similar features in time series of serum growth hormone and prolactin levels by fractal analysis: Effect of delayed sleep and complexity of diurnal variation

We assayed the diurnal concentrations of growth hormone (GH) and prolactin (PRL) in 6 healthy male volunteers to evaluate the self-similar features in the time series of each hormone on the basis of fractal theory and to determine the fractal dimension as an index of the complexity of the diurnal variation. In addition, we assessed the effects of a 6-hour delay in the sleep period on the complexity of the diurnal variaton of these hormones. There was a statistically significant fractal feature in the serum levels of GH both under the nocturnal-sleep and delayed-sleep conditions in all subjects. The time series of the serum PRL concentrations also showed a statistically significant fractal feature under the nocturnal-sleep and delayed-sleep conditions in all subjects. The fractal dimensions of the patterns of the GH or PRL levels were 1.879 and 1.929 or 1.754 and 1.785 under the nocturnal-sleep and delayed-sleep conditions, respectively. Two-way ANOVA revealed no significant difference in the fractal dimension between the two sleep conditions but did reveal a significant difference between the fractal dimensions of the GH and PRL levels. These results showed (1) that delayed sleep had no significant effect on the complexity of the diurnal pattern of these hormones, and (2) that the diurnal pattern of the GH levels was more complex than that of the PRL levels.     

Morphology of horseradish peroxidase (HRP)-injected glial cells in the myenteric plexus of the guinea-pig

Glial cells of the myenteric plexus from guinea pig small intestine were intracellulary filled with horseradish peroxidase (HRP), and histochemically stained. Camera lucida-like drawings of twenty cells were morphologically and morphometrically analyzed. The cells have very small ellipsoid, somata (85±0.7 m equivalent diameter, i.e., about 330 m³ volume), and send up to 20 thin and short processes (less than 26 to about 110 m in length). The morphology of the cells appears to depend on their location within the plexus. Glial cells located within the ganglia are similar to CNS protoplasmic astrocytes; they are star-shaped, and their very short processes are irregularly, branched. In contrast, glial cells within the interganglionic fiber tracts resemble CNS fibrous astrocytes. They extend longer processes that are parallel to the fiber tracts, and show less tendency to branch. We propose that the morphology of enteric glia is determined by the structure of the microenvironment. Both cell types form several flat endfeet at a basal lamina either surrounding blood vessels or at the ganglionic border. Furthermore, the occurrence of holes in the glial cell processes suggests that particular neuronal cell processes may be enwrapped in a specific manner. Fractal analysis of camera lucida-like drawings of the cells showed that the cells have a highly complex surface structure, comparable to that of protoplasmic astrocytes in the brain. These tiny cells may possess a membrane surface area of 2000 m², almost 90% of which are contributed by the cell processes. This geometry may enable an intense exchange of metabolites and ions between neurons, glial cells, and the capillaries and/or environment of enteric ganglia.     

Canopy surface topography in a French Guiana forest and the folded forest theory

The canopy surface is an undulating surface that follows the irregular contours of the upper tree crowns and defines the inner and the outer limits of the forest volume. In French Guiana, the height of the canopy surface was surveyed in both a primary and a 20-years old clear-felled secondary forest plot. The topographic surface was displayed in a three-dimensional mesh, where X and Y are horizontal co-ordinates, and Z is the canopy height measured from the ground with an optical telemeter. The statistical dispersion of Z-data, and the spatial tree height variations, are interpreted at different levels of ecosystem organisation, from forest type (primary or secondary forest) to the trees themselves, following the folded forest model theory (Oldeman 1992, 1994). The vertical growth of trees creates a convex pattern in the relief of canopy surface, whereas gaps make concavities which delimit impact of perturbation on the forest structure. These events are either the result of the dynamic of single trees (emergent and decayed trees), or arise from the dynamic of a group of trees working together (group of emergent trees or complex gaps). At the plot scale, the elementary events, convexities and concavities, are gathered on similar topo-sequences, and form canopy units either higher or lower than the average canopy height. This study suggests that the topography of the canopy surface is defined by a complex nested system from trees, to groups of trees, to canopy units, within a delimited floristic and physical environment.     

次生针阔混交林动态经营后空间结构动态分析

本文运用"时空替代"方法和分形理论,探讨了对现有的次生针阔混交林实施"团块状保留母树团"经营后,不同经营时间林分组成树种的空间结构的动态变化。得出随经营时间的推移,乔木层占据空间的总体能力逐渐增强,也趋于稳定,形成多层次的林冠郁闭,同时红松、椴树、水曲柳逐渐占据优势地位;而灌木层与乔木层相反,随经营时间的推移占据空间的能力逐渐减小并趋于稳定,在它们中,经营之初占优势地位的喜光种类逐渐退出,以典型针阔混交林下种类如丁香、山梅花、刺五加逐渐占据优势。反映出该经营方式促进了林分快速地向典型的红松针阔混交林演替的趋势。     

岷江上游不同植被下土壤团聚体特征分析

以岷江上游卧龙自然保护区内不同植被条件下土壤为对象,研究了暗针叶林、针阔混交林、暗针叶林林窗下箭竹林、高山栎4种植被土壤的团聚体数量特征.结果表明,湿筛法得到的4种植被类型土壤团聚体服从对数正态分布,其几何平均直径与标准差之间存在负相关关系.其中,针阔混交林和高山栎林土壤具有较大的团聚体直径.土壤的分维数范围在2.40～2.78之间,＜0.25mm团聚体含量越高,土壤团聚体分形维数越大,暗针叶林土壤的第2层和暗针叶林窗箭竹林土壤的第3层的分形维数最大.土壤团聚体的保存机率以3～1mm、1～0.5mm粒径级团聚体为大,遭到破坏的可能性小;＞10mm、0.5～0.25mm粒径级的团聚体的保存机率小,容易遭到破坏.对团聚体稳定性指数进行剖面加权平均发现,针阔混交林土壤的稳定性指数最高,其次为高山栎林土壤、暗针叶林林窗下箭竹林和暗针叶林土壤,说明针阔混交林和高山栎林有利于土壤团聚体的稳定.团聚体的3个数量特征之间具有密切联系,均可用于说明土壤团聚体稳定性的大小.     

Histomorphometric parameters and fractal complexity of the equine placenta from healthy and sick foals

Computer-based digital image analysis of tissue samples shows promise both to reduce the subjectivity of traditional manual tissue assessments and potentially to shorten the time required to analyze each sample. The present study used digital image analysis to investigate the histomorphometric parameters and fractal complexity of the equine placenta from healthy and sick foals. We hypothesized that the placentas of sick foals could have a different growth pattern and complexity that could be objectively estimated by their fractal dimension (FD). Fourteen placentas from 30 mares were selected in the 2013 breeding season and divided into two groups: seven mares with normal pregnancy, eutocic delivery, and healthy foals (group 1) and seven mares with normal or high-risk pregnancy, eutocic delivery and sick foals (group 2). Four mares in group 2 were classified as having a high-risk pregnancy on the basis of anamnesis and/or ultrasound findings. Clinical diagnosis of group 2 foals included perinatal asphyxia syndrome (n = 4), prematurity/dysmaturity (n = 2), and both diagnoses (n = 1). Seven out of fourteen placentas showed diffuse gross abnormalities. Grossly abnormal placentas were observed in one out of seven (14.28%) animals in group 1 and in six out of seven (85.72%) animals in group 2. Digital image analysis proved to be reliable and efficient in segmentation, calculation, outline extraction of villi as also resulted in sampled test images. The placentas of group 1 foals displayed a uniform and homogeneous villi development, as revealed by geometric parameters and FD. These results can be interpreted as a harmonic growth pattern of microcotyledons throughout the placenta in healthy foals. By contrast, the placentas of group 2 foals showed a nonuniform growth pattern and complexity with more villi and more developed villi in pregnant horn (PH) and nonpregnant horn (NPH) compared with body (B) and higher FD in NPH than in the other areas. This finding can be interpreted as a compensatory growth with increased complexity. Our results show that morphometric analysis, particularly FD measurement, can be proposed as an ancillary histological tool for equine placenta evaluation. Chorionic villi tend to have greater branching and complexity in sick than in healthy foals, particularly in the NPH. This could represent an attempt to increase the exchange area between fetal and maternal compartments of the equine placenta, and merits further investigation.     

An Investigation into the Feasibility of Implementing Fractal Paradigms to Simulate Cancellous Bone Structure

Abstract

Cancellous bone consists of a framework of solid trabeculae interspersed with bone marrow. The structure of the bone tissue framework is highly convoluted and complex, being fractal and statistically self-similar over a limited range of magnifications. To date, the structure of natural cancellous bone tissue has been defined using 2D and 3D imaging, with no facility to modify and control the structure. The potential of four computer-generated paradigms has been reviewed based upon knowledge of other fractal structures and chaotic systems, namely Diffusion Limited Aggregation (DLA)perolation and Epidemics, Cellular Automata, and a regular Grid with randomly relocated nodes. The resulting structures were compared for their ability to create realistic structures of cancellous bone rather than reflecting growth and form processes. Although the creation of realistic computer-generated cancellous bone structures is difficult, it should not be impossible. Future work considering the combination of fractal and chaotic paradigms is underway.     

Modulation of angiogenesis by topical application of leptin and high and low molecular heparin using the Japanese quail chorioallantoic membrane model

Pathological angiogenesis characterized by uncontrollable vessel growth is an accompanying feature of many diseases. The avian embryo chorioallantoic membrane (CAM) is an excellent model for angiogenesis research. In our study we used a less common Japanese quail CAM model for the testing of angiogenic potential of leptin, high-molecular (heparin sodium) andlow-molecular (nadroparin calcium) heparins. Heparins play a significant role in vascular endothelial cell function, and they are able to modulate the activities of angiogenic growth factors. On embryonic day 7 leptin (5 μg per CAM), heparin sodium (75 IU per CAM) and nadroparin calcium (47.5 IU per CAM) in 500 μl PBS were applied on the CAM surface. After 24 h the fractal dimension (Df) of the vasculature was evaluated. Samples from each group were histologically analyzed and VEGF-A and Quek1 expression were detected by qPCR. Df was significantly increased in the leptin group. A moderate stimulatory effect of heparin sodium and an inhibitory effect of nadroparin calcium were observed. Both leptin and heparin sodium caused a noticeable increase in the CAM thickness compared to the control and nadroparin calcium groups. We observed an increased number of blood vessels and accumulation of fibroblasts. There was no significant impact on gene expression of VEGF-A and Quek1 24 h after treatment, however, trends similar to the changes in Df and CAM thickness were present. The resulting effect of nadroparin administration on Quek1 levels was exactly the opposite to that of leptin (p < 0.05).     

Some implications of Scale Relativity theory in avascular stages of growth of solid tumors in the presence of an immune system response

We present a traveling-wave analysis of a reduced mathematical model describing the growth of a solid tumor in the presence of an immune system response in the framework of Scale Relativity theory. Attention is focused upon the attack of tumor cells by tumor-infiltrating cytotoxic lymphocytes (TICLs), in a small multicellular tumor, without necrosis and at some stage prior to (tumor-induced) angiogenesis. For a particular choice of parameters, the underlying system of partial differential equations is able to simulate the well-documented phenomenon of cancer dormancy and propagation of a perturbation in the tumor cell concentration by cnoidal modes, by depicting spatially heterogeneous tumor cell distributions that are characterized by a relatively small total number of tumor cells. This behavior is consistent with several immunomorphological investigations. Moreover, the alteration of certain parameters of the model is enough to induce soliton like modes and soliton packets into the system, which in turn result in tumor invasion in the form of a standard traveling wave. In the same framework of Scale Relativity theory, a very important feature of malignant tumors also results, that even in avascular stages they might propagate and invade healthy tissues, by means of a diffusion on a Newtonian fluid.