This book describes the shape formation of living organisms using mathematical models. Genes are deeply related to the shape of living organisms, and elucidation of a pathway of shape formation from genes is one of the fundamental problems in biology. Mathematical cell models are indispensable tools to elucidate this problem. The book introduces two mathematical cell models, the cell center model and the vertex model, with their applications. The cell center model is applied to elucidate the formation of neat cell arrangements in epidermis, cell patterns consisting of heterogeneous-sized cells, capillary networks, and the branching patterns of blood vessels. The vertex model is applied to elucidate the wound healing mechanisms of the epithelium and ordered pattern formation involving apoptosis. Pattern formation with differential cell adhesion is also described. The vertex model is then extended from a two-dimensional (2D) to a three-dimensional (3D) model. A cell aggregate involving a large cavity is described to explain the development of the mammalian blastocyst or the formation of an epithelial vesicle. Epithelial tissues and the polarity formation process of the epithelium are also explained. The vertex model also recapitulates active remodeling of tissues and describes the twisting of tissue that contributes to understanding the cardiac loop formation of the embryonic tube. The book showcases that mathematical cell models are indispensable tools to understand the shape formation of living organisms. Successful contribution of the mathematical cell models means that the remodeling of collective cells is self-construction. Examining the successive iterations of self-constructions leads to understanding the remarkable and mysterious morphogenesis that occurs during the development of living organisms. The intended readers of this book are not only theoretical or mathematical biologists, but also experimental and general biologists, including undergraduate and postgraduate students who are interested in the relationship between genes and morphogenesis.
This book describes the shape formation of living organisms using mathematical models. Genes are deeply related to the shape of living organisms, and elucidation of a pathway of shape formation from genes is one of the fundamental problems in biology. Mathematical cell models are indispensable tools to elucidate this problem. The book introduces two mathematical cell models, the cell center model and the vertex model, with their applications. The cell center model is applied to elucidate the formation of neat cell arrangements in epidermis, cell patterns consisting of heterogeneous-sized cells, capillary networks, and the branching patterns of blood vessels. The vertex model is applied to elucidate the wound healing mechanisms of the epithelium and ordered pattern formation involving apoptosis. Pattern formation with differential cell adhesion is also described. The vertex model is then extended from a two-dimensional (2D) to a three-dimensional (3D) model. A cell aggregate involving a large cavity is described to explain the development of the mammalian blastocyst or the formation of an epithelial vesicle. Epithelial tissues and the polarity formation process of the epithelium are also explained. The vertex model also recapitulates active remodeling of tissues and describes the twisting of tissue that contributes to understanding the cardiac loop formation of the embryonic tube. The book showcases that mathematical cell models are indispensable tools to understand the shape formation of living organisms. Successful contribution of the mathematical cell models means that the remodeling of collective cells is self-construction. Examining the successive iterations of self-constructions leads to understanding the remarkable and mysterious morphogenesis that occurs during the development of living organisms. The intended readers of this book are not only theoretical or mathematical biologists, but also experimental and general biologists, including undergraduate and postgraduate students who are interested in the relationship between genes and morphogenesis.
The lexicon of Japanese contains a large number of conventional mimetic words which vividly depict sounds, manners of action, states of mind etc. These words are notable for their distinctive syntactic properties, for the strikingly patterned way in which they exploit sound-symbolic correspondences, and for the copiousness of their use in conversation as well as in many written registers of Japanese. This dictionary is a comprehensive resource for linguists, language teachers, translators, and others who require detailed information about this important sector of the Japanese vocabulary. Examples created by the editors are accompanied by thousands of contextualized, referenced examples from published sources to illustrate the alternative meanings of each mimetic form. All examples appear in Japanese orthography, in romanization, and in English translation. Concise information is provided concerning the varieties of syntactic usage appropriate for each mimetic. An extensive English index facilitates comparison of English and Japanese vocabulary.
Hydrogen Gas Embrittlement: Mechanisms, Mechanics, and Design enables readers to understand complicated hydrogen-material interactions and conduct better material selection and strength design for hydrogen components. The book reviews the fundamental mechanisms of hydrogen embrittlement, the various behaviors of hydrogen in metallic materials such as diffusion, solution, and trapping, and emphasizes the necessary properties for effective strength design of various materials under the influence of hydrogen, including tensile properties, fatigue life, fatigue limit, fatigue crack-growth, and fracture toughness. Sections provide experimental data obtained in hydrogen gas at various pressures and temperatures together with the fractographic observations, including practical interpretation of hydrogen compatibility of materials based on tensile, fatigue and fracture mechanics testing results. Material testing machines and methods, the effects of hydrogen on various BCC steels, austenitic steels, and non-ferrous metals, and practical applications and methods of strength design for hydrogen vessels and components are all included as well. Enables a better understanding of hydrogen-material interactions, allowing for better material selection and strength design Provides insights on the hydrogen-induced degradation of materials strength at the atomic, macroscale and microscale Looks at a number of degradative behaviors in a variety of materials, including BCC steels, austenitic steels and non-ferrous metals Includes verification tests, case studies, applications and experimental data
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