Shell morphometry in barnacles: quantification of shape and shape change in Balanus

Geometric design in the barnacle genus Balanus has been studied in relation to variation in adult shell form, that includes differences among species, and size-related changes in shape. The genus comprises 40 Recent species, and as a group these display a more or less constant morphology over an extraordinary size range (10 to 200 mm in basal length).
Linear and volumetric measurements were collected from 232 adult individuals of 14 species representing the variation in size, shell form and shell design thought to occur in the genus. Specimens were chosen to represent the size ranges of the species. Only isolated individuals growing on planar surfaces were used; shells were complete, undamaged and undistorted.
Shell form differs among taxa, and no two species scale alike; intraspecific variation for five ratio variables shows strong allometry over the adult size range of each species. As size increases, there is a trend for the basis and orifice to maintain their shapes or to become slightly more elliptical, and for shells to become more conical and proportionately taller.
Throughout their size ranges, species can be described by these geometries: paraboloid (6 species), frustum of an ellipsoidal cone (5 species), frustum of a cone (2 species) and a cone (1 species). Shell geometry is not a function of species size, but there does appear to be a correlation between shell geometry and shell volume. Species with relatively small shell volumes are described by a frustum of an ellipsoidal cone, or by a cone, while those with a relatively large shell volume are described by a paraboloid, or by the frustum of a cone.     

Bacterial shape

In free-living eubacteria an external shell of peptidoglycan opposes internal hydrostatic pressure and prevents membrane rupture and death. At the same time, this wall imposes on each cell a shape. Because shape is both stable and heritable, as is the ability of many organisms to execute defined morphological transformations, cells must actively choose from among a large repertoire of available shapes. How they do so has been debated for decades, but recently experiment has begun to catch up with theory. Two discoveries are particularly informative. First, specific protein assemblies, nucleated by FtsZ, MreB or Mbl, appear to act as internal scaffolds that influence cell shape, perhaps by correctly localizing synthetic enzymes. Second, defects in cell shape are correlated with the presence of inappropriately placed, metabolically inert patches of peptidoglycan. When combined with what we know about mutants affecting cellular morphology, these observations suggest that bacteria may fabricate specific shapes by directing the synthesis of two kinds of cell wall: a long-lived, rigid framework that defines overall topology, and a metabolically plastic peptidoglycan whose shape is directed by internal scaffolds.     

Statistical shape modeling characterizes three-dimensional shape and alignment variability in the lumbar spine

The mechanics of the lumbar spine are heavily dependent on the underlying anatomy. Anatomical measures are used to assess the progression of pathologies related to low back pain and to screen patients for surgical treatment options. To describe anatomical norms and pathological differences for the population, statistical shape modeling, which uses full three-dimensional representations of bone morphology and relative alignment, can capture intersubject variability and enable comparative evaluations of subject to population. Accordingly, the objective of this study was to develop a comprehensive set of three-dimensional statistical models to characterize anatomical variability in the lumbar spine, by specifically describing the shape of individual vertebrae, and shape and alignment of the entire lumbar spine (L1-S1), with a focus on the L4-L5 and L5-S1 functional spinal units (FSU). Using CT scans for a cohort of 52 patients, lumbar spine geometries were registered to a template to establish correspondence and a principal component analysis identified the primary modes of variation. Scaling was the most prevalent mode of variation for all models. Subsequent modes of the statistical shape models of the individual bones characterized shape variation within the processes. Subsequent modes of variation for the FSU and entire spine models described alignment changes associated with disc height and lordosis. Quantification of anatomical variation in the spine with statistical models can inform implant design and sizing, assist clinicians in diagnosing pathologies, screen patients for treatment options, and support pre-operative planning.     

Cell shape development in plants

The shape of a plant cell has long been the cornerstone of diverse areas of plant research but it is only recently that molecular-genetic and cell-biological tools have been effectively combined for dissecting plant cell morphogenesis. Increased understanding of the polar growth characteristics of model cell types, the availability of many morphological mutants and significant advances in fluorescent-protein-aided live-cell visualization have provided the major impetus for these analyses. The cytoskeleton and its regulators have emerged as essential components of the scaffold involved in fabricating plant cell shape. In this article, I collate information from recent discoveries to derive a simple cytoskeleton-based operational framework for plant cell morphogenesis.     

Staying in shape with formins

Formins constitute a diverse protein family present in all eukaryotes examined. They are defined by the presence of a formin homology 2 (FH2) domain, which possesses intrinsic and conserved functions regulating cytoskeletal dynamics. Over the past few years, formins have become recognized as potent nucleators of linear actin filaments that control a large variety of cellular and morphogenetic functions. Here, we review the molecular principles of formin-induced cytoskeletal rearrangements and their consequences for a growing number of biological processes.     

Overview of cell shape: cytoskeletons shape bacterial cells

An evolving hypothesis is that bacterial cell shape is determined by cytoskeletal elements that localize peptidoglycan synthetic machineries. In most bacteria FtsZ assembles into the Z ring which recruits the machinery necessary for cytokinesis. Most rod shaped cells require MreB which assembles into cables that run between the poles of the cell and distribute various components of peptidoglycan metabolism along the cell length. Cells with other shapes have additional cytoskeletal elements that either localize synthetic machineries or possibly influence their activity.     

北京地区植被景观中斑块形状的指数分析

选取４个斑块形状指数（斑块的击长面积比ＳＩ１、斑块周长与等面积的圆周长之比ＳＩ２和身份个斑块分维ＳＩ３和ＳＩ４）并借助ＧＩＳ软件ＡＲＣ／ＩＮＦＯ对北京地区植被景观中的斑块形状进行分析,又地这四个形状指数进行 ｅａｒｓｏｎ相关分析和Ｓｐｅａｒｍａｎ秋相关分析,结果表明,ＳＩ１与ＳＩ４,ＳＩ２与ＳＩ３两两之间均呈显著的正的秩相关,ＳＩ１与ＳＩ２,ＳＩ２与ＳＩ４,ＳＩ３与ＳＩ４两两之间于垢负和秩相关。因     

Unloaded shape identification of human cornea by variational shape optimization

Abstract

The present study proposes a computational method to identify the unloaded corneal shape based on the prescribed surface profile of the cornea acquired from in vivo measurements. Variational shape optimization of the unloaded corneal shape was formulated to satisfy that the corneal shape at the mechanical equilibrium state in the physiological situation corresponded to the prescribed surface profile. The shape variation was calculated using the Lagrange multiplier method with a finite element solution. Numerical solution showed that the optimized corneal shape was in excellent agreement with the prescribed surface profile of the cornea without μm-scale surface irregularities.     

Egg shape mimicry in parasitic cuckoos

Parasitic cuckoos lay their eggs in nests of host species. Rejection of cuckoo eggs by hosts has led to the evolution of egg mimicry by cuckoos, whereby their eggs mimic the colour and pattern of their host eggs to avoid egg recognition and rejection. There is also evidence of mimicry in egg size in some cuckoo–host systems, but currently it is unknown whether cuckoos can also mimic the egg shape of their hosts. In this study, we test whether there is evidence of mimicry in egg form (shape and size) in three species of Australian cuckoos: the fan‐tailed cuckoo Cacomantis flabelliformis, which exploits dome nesting hosts, the brush cuckoo Cacomantis variolosus, which exploits both dome and cup nesting hosts, and the pallid cuckoo Cuculus pallidus, which exploits cup nesting hosts. We found evidence of size mimicry and, for the first time, evidence of egg shape mimicry in two Australian cuckoo species (pallid cuckoo and brush cuckoo). Moreover, cuckoo–host egg similarity was higher for hosts with open nests than for hosts with closed nests. This finding fits well with theory, as it has been suggested that hosts with closed nests have more difficulty recognizing parasitic eggs than open nests, have lower rejection rates and thus exert lower selection for mimicry in cuckoos. This is the first evidence of mimicry in egg shape in a cuckoo–host system, suggesting that mimicry at different levels (size, shape, colour pattern) is evolving in concert. We also confirm the existence of egg size mimicry in cuckoo–host systems.     

Neurons take shape

To construct the intricate network of connections that supports the functions of an adult nervous system, neurons must form highly elaborate processes, extending in the appropriate direction across long distances to form synapses with their partners. As the nervous system takes shape, the process of neuronal morphogenesis is controlled by a broad repertoire of cellular signals. These extracellular cues and cellular interactions are translated by receptors at the cell surface into physical forces that control the dynamic architecture of the neuron as it explores the surrounding terrain. The interpretation of these cues involves a large set of intracellular proteins, whose functional logic we are just beginning to appreciate. We shall consider the basic mechanics of neuronal morphogenesis and some of the emerging pathways that seem to link the outer and inner worlds of the neuron.