Bifurcations of nonlinear reaction-diffusion systems in oblate spheroids

Spontaneous pattern formation may arise in biological systems as primary and secondary bifurcations to nonlinear parabolic partial differential equations describing chemical reaction-diffusion systems. Bipolarity in mitosis and cleavage planes in cytokinesis may be related to this formation of prepatterns. Three dimensional prepatterns are investigated, as they emerge in flattened spheres (i.e. oblate spheroids). Pattern sequences and selection rules are established numerically. The results confirm previously recorded results of the spherical and prolate regions, upon which a prepattern theory of mitosis and cytokinesis is based. Especially, the phenomenon of 90 degree axis tilting and the formation of a highly symmetrical saddle shaped pattern, crucial for the prepattern theory of mitosis and cytokinesis, is examined. Present results show, that these phenomena are stabilized in oblate spheroids. The bipolar mitosis prepattern is found as well, although the polar axis may appear with an angle toward the axis of the oblate spheroid. These results are thus further support for the prepattern theory of mitosis and cytokinesis.     

Mitotic crossing over in chromosome I disomics of Aspergillus nidulans

Summary The frequency and pattern of homologous recombination in chromsome I disomics of Aspergillus nidulans is presented. Approximately 6% of randomly selected haploid breakdown sectors are recombinant. Most of these arise from double exchange events, one of which is located in the centromere region, the other distal on the left arm. Other marked regions are rarely involved in a recombination event. Reciprocal genotypes arise in approximately equal frequencies indicating that exchange results in reciprocally recombined non-sister chromatids at the four strand stage of mitosis. Possible theories for the extreme localisation of exchange events are discussed.     

Local perinuclear calcium signals associated with mitosis-entry in early sea urchin embryos

Using calcium-sensitive dyes together with their dextran conjugates and confocal microscopy, we have looked for evidence of localized calcium signaling in the region of the nucleus before entry into mitosis, using the sea urchin egg first mitotic cell cycle as a model. Global calcium transients that appear to originate from the nuclear area are often observed just before nuclear envelope breakdown (NEB). In the absence of global increases in calcium, confocal microscopy using Calcium Green- 1 dextran indicator dye revealed localized calcium transients in the perinuclear region. We have also used a photoinactivatable calcium chelator, nitrophenyl EGTA (NP-EGTA), to test whether the chelator- induced block of mitosis entry can be reversed after inactivation of the chelator. Cells arrested before NEB by injection of NP-EGTA resume the cell cycle after flash photolysis of the chelator. Photolysis of chelator triggers calcium release. TreatmenT with caFfeine to enhance calcium-induced calcium release increases the amplitude of NEB- associated calcium transients. These results indicate that calcium increases local to the nucleus are required to trigger entry into mitosis. Local calcium transients arise in the perinuclear region and can spread from this region into the cytoplasm. Thus, cell cycle calcium signals are generated by the perinuclear mitotic machinery in early sea urchin embryos.     

Bifurcations in Turing systems of the second kind may explain blastula cleavage plane orientation

Spontaneous pattern formation (emergence of Turing structures) may take place in biological systems as primary and secondary bifurcations to nonlinear parabolic partial differential equations describing biochemical reaction-diffusion systems. Bipolarity in mitosis and cleavage planes in cytokinesis may be related to this formation of prepatterns. Cleavage planes in early blastulas have an apparently well controlled spatial relationship to the polarity known as the animal-vegetal (A-V) axis: the mitotic spindles form perpendicular to this axis in the first two division stages, with cleavage planes going strictly through the A-V poles. The third-stage spindles are parallel to the A-V axis, and cleavage is roughly in the equatorial plane, thus separating the A-V poles. The reason for these phenomena are poorly understood with current mitosis/cytokinesis models based on intrinsic spindle properties. It is shown here by numerical simulation that a simple modification to the usual Turing equations yields selection rules which lead directly to these orientations of the prepatterns, without any further ad hoc assumptions. These results strongly support the prepattern model for mitosis and cytokinesis and the viewpoint that prepatterns play a fundamental role in nature.     

Possible prepatterns governing mitosis: The mechanism of spindle-free chromosome movement in Aulacantha scolymantha

Computer simulation of spontaneous pattern formation in chemical reaction-diffusion systems within a sphere shows prepatterns to arise, which account for observed poleward migration and other chromosome distributions previously recorded experimentally in the spindle-free nuclear division of the radiolarian Aulacantha scolymantha. It is suggested, that the observed patterns played a role in the evolution of mitosis, and through cytoplasmic organisation still may be connected to observed spindle forces and -orientation, as well as cytokinesis, in present-day protozoans.     

Computer simulations of mitosis and interdependencies between mitosis orientation, cell shape and epithelia reshaping

Finite element-based computer simulations are used to investigate mitosis and how mitosis, cell shape, and epithelium reshaping depend on each other. Frame- and cell-oriented patterns of mitosis with growing and non-growing daughter cells are considered. Previous simulations have shown that applied stresses or strains can reshape cells so that their long axes are aligned in the principal stretch direction. The simulations reported here show that this can produce global alignment of the mitosis cleavage planes. Other simulations reported here show that mitoses with suitably aligned cleavage planes can drive epithelium reshaping. Formulas that quantify these and other dependencies are derived. These formulas provide quantitative relationships against which current hypotheses regarding epithelia reshaping in real biological systems can be evaluated.     

Origin and proliferation of blastema cells during regeneration of Drosophila wing imaginal discs

Following a period of neglect, there has been a resurgence of interest in Drosophila imaginal discs as a model with which to analyze the relationships between growth and pattern formation during regeneration. To broaden our understanding of this process, we used cell lineage techniques to trace the origin of blastema cells and the early and late boundaries of the blastema in regenerating 3/4 wing disc fragments, examined the distribution of S-phase, mitotic and dead cells, and undertook clonal analysis to determine the topology of cell proliferation and its relationship to pattern formation. Using lineage tagging with the JNK phosphatase puckered (puc), we demonstrate that a substantial number of blastema cells arise from cells in which JNK is activated. Furthermore, we show that DNA synthesis and mitosis are activated well before wound healing is completed, in a region where the JNK pathway is activated; later, DNA synthesis and mitosis are observed in scattered cells throughout the blastema. Finally, clonal analysis shows a close relationship between the size and shape of clones and disparities in the positional values of the apposed surfaces.     

THE FINE STRUCTURE OF CHROMOSOMES IN THE MEIOTIC PROPHASE OF VERTEBRATE SPERMATOCYTES

The prophase chromosomes of the first meiotic division in pigeon, cat, and man contain a central structure or core consisting of a pair of dense fibrils (450 A) that are parallel to one another and equidistant from a delicate linear region of increased density midway between them. These parallel strands are present early in prophase and the chromosomes seem to arise by congregation and organization of the chromatin granules around them. They have not been observed in mitosis or in other stages of meiosis.     

Intermediate filaments of the vimentin-type and the cytokeratin-type are distributed differently during mitosis

Immunofluorescence microscopy has been used to follow the rearrangement of intermediate-sized filaments during mitosis in rat kangaroo PtK2 cells. These epithelial cells express two different intermediate filament systems: the keratin-related tonofilament-like arrays typical of epithelial cells, and the vimentin-type filaments characteristic of mesenchymal cells in vivo, and of many established cell lines. The two filament systems do not appear to depolymerize extensively during mitosis, but show differences in their organization and display which may indicate different functions. The most striking rearrangements have been seen with the vimentin filaments, and in particular in prometaphase a transient cage-like structure of vimentin fibers surrounding the developing spindle is formed. In metaphase, this cage disappears, and vimentin fibers are found in an elliptical band surrounding the chromosomes and the interzone. In telophase, these bands separate, usually breaking first on the side closest to where the cleavage furrow has started to form. Double label experiments with tubulin and vimentin antibodies have indicated that the microtubules and the chromosomes are contained within the thick crescents of vimentin filaments and suggest that the vimentin intermediate filaments may be involved in the orientation of the spindle and/or the chromosomes during mitosis. In contrast, extensive arrays of cytokeratin filaments are present throughout mitosis on the substrate-attached side of the cell and also in other cellular areas, although they are usually not present in the spindle region. Thus the cytokeratin filaments probably continue to play a cytoskeletal role during mitosis and may be responsible for the flat shape that certain epithelial cells such as PtK2 cells continue to maintain during mitosis.     

Differential dynamic properties of scleroderma fibroblasts in response to perturbation of environmental stimuli

Diseases are believed to arise from dysregulation of biological systems (pathways) perturbed by environmental triggers. Biological systems as a whole are not just the sum of their components, rather ever-changing, complex and dynamic systems over time in response to internal and external perturbation. In the past, biologists have mainly focused on studying either functions of isolated genes or steady-states of small biological pathways. However, it is systems dynamics that play an essential role in giving rise to cellular function/dysfunction which cause diseases, such as growth, differentiation, division and apoptosis. Biological phenomena of the entire organism are not only determined by steady-state characteristics of the biological systems, but also by intrinsic dynamic properties of biological systems, including stability, transient-response, and controllability, which determine how the systems maintain their functions and performance under a broad range of random internal and external perturbations. As a proof of principle, we examine signal transduction pathways and genetic regulatory pathways as biological systems. We employ widely used state-space equations in systems science to model biological systems, and use expectation-maximization (EM) algorithms and Kalman filter to estimate the parameters in the models. We apply the developed state-space models to human fibroblasts obtained from the autoimmune fibrosing disease, scleroderma, and then perform dynamic analysis of partial TGF-beta pathway in both normal and scleroderma fibroblasts stimulated by silica. We find that TGF-beta pathway under perturbation of silica shows significant differences in dynamic properties between normal and scleroderma fibroblasts. Our findings may open a new avenue in exploring the functions of cells and mechanism operative in disease development.     

The genetic analysis of mitosis in Aspergillus nidulans

We describe here recent work on the molecular genetics of mitosis in the filamentous fungus Aspergillus nidulans. Aspergillus is one of three simple eukaryotes with powerful genetic systems that have been used to analyze mitosis. The modern molecular biological techniques available with this organism have made it possible to use mutations to identify genes and proteins that play an important role in mitosis. Three Aspergillus genes that affect mitosis are described. One gene, nimA, is specifically expressed late in the cell cycle and codes for a putative protein kinase that induces mitosis, even in cells blocked in S-phase. The second gene, bimG, codes for a putative phosphatase that interacts functionally with the nimA kinase. The third gene, bimE, codes for a protein that suppresses mitosis during interphase, apparently by keeping nimA turned off. None of these genes appear to be similar to any of the genes affecting mitosis that have been characterized in other eukaryotes, but rather appear to be elements of a system that prevents mitosis from occurring during interphase.     

Importance of the CEP215-Pericentrin Interaction for Centrosome Maturation during Mitosis

At the onset of mitosis, the centrosome undergoes maturation, which is characterized by a drastic expansion of the pericentriolar material (PCM) and a robust increase in microtubule-organizing activity. CEP215 is one of the major PCM components which accumulates at the centrosome during mitosis. The depletion phenotypes indicate that CEP215 is essential for centrosome maturation and bipolar spindle formation. Here, we performed a series of knockdown-rescue experiments to link the protein-protein interaction properties of CEP215 to its biological functions. The results showed that CEP215 and pericentrin, another major PCM component, is interdependent for their accumulation at the spindle poles during mitosis. As a result, The CEP215-pericentrin interaction is required for centrosome maturation and subsequent bipolar spindle formation during mitosis. On the other hand, CEP215 interaction with γ-tubulin is dispensable for centrosome maturation. Our results provide an insight how PCM components are assembled to form a spindle pole during mitosis.     

Simulating Temporal Organization of Histogenesis

The paper discusses a discrete model of hepatic plate histogenesis based on the dissymmetry distribution times of cell cycles. The model is based on the assumption of the finality of cell time as an internal parameter of a single cycle of biological spacetime. Another assumption is the divisibility of maternal cell time in half between daughter cells, which makes it possible to consider the stem cell macrocycle in histogenesis as a system of nested cell cycles with progressively decreasing time. In addition, it was expected that at each step of cell division in homogeneous histogenesis, a asymmetric distribution of reference of cell time management by mitosis, which is related to the intron region of the genome. The obtained numerical model agrees with the characteristics of the architectonics of the liver, the limited number of cell divisions, and the frequency distribution of mitosis and aging as the extinction process of cells with short cycles.     

Long-range dielectric aspects of the eukaryotic cell cycle

The phases of the eukaryotic cell cycle are described in terms of H. Fr?hlich's theory of long-range coherence in biological systems. A phonon condensation is believed to initiate the S phase of the cycle. Following this event, an increasing polarization of the cell should occur, resulting in a phase transition to a metastable ferroelectric state at the beginning of mitosis. This polarized state is expected to be dissipated after mitosis is completed. It is believed that malignant cells possess a ferroelectric state throughout their life cycles.     

Diffusion and simultaneous chemical reactions: I. A method for solving the equations of some systems in which a fixed concentration exists at a boundary

Many solutions are available to the differential equations for systems consisting of a space region with a boundary at which the concentration is fixed, diffusion occurring across this boundary. A method is described for readily transforming these solutions into results for similar systems in which the diffusing substance is removed by a first-order reaction and also removed or produced at a rate which is expressible as a polynomial in the time variable. Subsidiary transformations and steady-state conditions are also discussed. An indication is given of biological applications of the results made available by this method.     

Systems biology in animal sciences

Systems biology is a rapidly expanding field of research and is applied in a number of biological disciplines. In animal sciences, omics approaches are increasingly used, yielding vast amounts of data, but systems biology approaches to extract understanding from these data of biological processes and animal traits are not yet frequently used. This paper aims to explain what systems biology is and which areas of animal sciences could benefit from systems biology approaches. Systems biology aims to understand whole biological systems working as a unit, rather than investigating their individual components. Therefore, systems biology can be considered a holistic approach, as opposed to reductionism. The recently developed 'omics' technologies enable biological sciences to characterize the molecular components of life with ever increasing speed, yielding vast amounts of data. However, biological functions do not follow from the simple addition of the properties of system components, but rather arise from the dynamic interactions of these components. Systems biology combines statistics, bioinformatics and mathematical modeling to integrate and analyze large amounts of data in order to extract a better understanding of the biology from these huge data sets and to predict the behavior of biological systems. A 'system' approach and mathematical modeling in biological sciences are not new in itself, as they were used in biochemistry, physiology and genetics long before the name systems biology was coined. However, the present combination of mass biological data and of computational and modeling tools is unprecedented and truly represents a major paradigm shift in biology. Significant advances have been made using systems biology approaches, especially in the field of bacterial and eukaryotic cells and in human medicine. Similarly, progress is being made with 'system approaches' in animal sciences, providing exciting opportunities to predict and modulate animal traits.     

Interaction between pancreatic β cell and electromagnetic fields: A systematic study toward finding the natural frequency spectrum of β cell system

Interaction between biological systems and environmental electric or magnetic fields has gained attention during the past few decades. Although there are a lot of studies that have been conducted for investigating such interaction, the reported results are considerably inconsistent. Besides the complexity of biological systems, the important reason for such inconsistent results may arise due to different excitation protocols that have been applied in different experiments. In order to investigate carefully the way that external electric or magnetic fields interact with a biological system, the parameters of excitation, such as intensity or frequency, should be selected purposefully due to the influence of these parameters on the system response. In this study, pancreatic β cell, the main player of blood glucose regulating system, is considered and the study is focused on finding the natural frequency spectrum of the system using modeling approach. Natural frequencies of a system are important characteristics of the system when external excitation is applied. The result of this study can help researchers to select proper frequency parameter for electrical excitation of β cell system. The results show that there are two distinct frequency ranges for natural frequency of β cell system, which consist of extremely low (or near zero) and 100–750 kHz frequency ranges. There are experimental works on β cell exposure to electromagnetic fields that support such finding.     

Synaptonemal Complex Components Promote Centromere Pairing in Pre-meiotic Germ Cells

Mitosis and meiosis are two distinct cell division programs. During mitosis, sister chromatids separate, whereas during the first meiotic division, homologous chromosomes pair and then segregate from each other. In most organisms, germ cells do both programs sequentially, as they first amplify through mitosis, before switching to meiosis to produce haploid gametes. Here, we show that autosomal chromosomes are unpaired at their centromeres in Drosophila germline stem cells, and become paired during the following four mitosis of the differentiating daughter cell. Surprisingly, we further demonstrate that components of the central region of the synaptonemal complex are already expressed in the mitotic region of the ovaries, localize close to centromeres, and promote de novo association of centromeres. Our results thus show that meiotic proteins and meiotic organization of centromeres, which are key features to ensure reductional segregation, are laid out in amplifying germ cells, before meiosis has started.     

Merotelic kinetochore orientation, aneuploidy, and cancer

Accurate chromosome segregation in mitosis is crucial to maintain a diploid chromosome number. A majority of cancer cells are aneuploid and chromosomally unstable, i.e. they tend to gain and lose chromosomes at each mitotic division. Chromosome mis-segregation can arise when cells progress through mitosis with mis-attached kinetochores. Merotelic kinetochore orientation, a type of mis-attachment in which a single kinetochore binds microtubules from two spindle poles rather than just one, can represent a particular threat for dividing cells, as: (i) it occurs frequently in early mitosis; (ii) it is not detected by the spindle assembly checkpoint (unlike other types of mis-attachments); (iii) it can lead to chromosome mis-segregation, and, hence, aneuploidy. A number of studies have recently started to unveil the cellular and molecular mechanisms involved in merotelic kinetochore formation and correction. Here, I review these studies and discuss the relevance of merotelic kinetochore orientation in cancer cell biology.