Chemotaxis is the movement of an organism or entity in response to a chemical stimulus. Somatic cells, bacteria, and other single-cell or multicellular organisms direct their movements according to certain chemicals in their environment. This is important for bacteria to find food by swimming toward the highest concentration of food molecules, or to flee from poisons. In multicellular organisms, chemotaxis is critical to early development and development as well as in normal function and health. In addition, it has been recognized that mechanisms that allow chemotaxis in animals can be subverted during cancer metastasis, and the aberrant change of the overall property of these networks, which control chemotaxis, can lead to carcinogenesis. The aberrant chemotaxis of leukocytes and lymphocytes also contribute to inflammatory diseases such as atherosclerosis, asthma, and arthritis. Sub-cellular components, such as the polarity patch generated by mating yeast, may also display chemotactic behavior.
Morphogenesis is the biological process that causes a cell, tissue or organism to develop its shape. It is one of three fundamental aspects of developmental biology along with the control of tissue growth and patterning of cellular differentiation.
Skin is the layer of usually soft, flexible outer tissue covering the body of a vertebrate animal, with three main functions: protection, regulation, and sensation.
Systems biology is the computational and mathematical analysis and modeling of complex biological systems. It is a biology-based interdisciplinary field of study that focuses on complex interactions within biological systems, using a holistic approach to biological research.
Wound healing refers to a living organism's replacement of destroyed or damaged tissue by newly produced tissue.
Mathematical and theoretical biology, or biomathematics, is a branch of biology which employs theoretical analysis, mathematical models and abstractions of living organisms to investigate the principles that govern the structure, development and behavior of the systems, as opposed to experimental biology which deals with the conduction of experiments to test scientific theories. The field is sometimes called mathematical biology or biomathematics to stress the mathematical side, or theoretical biology to stress the biological side. Theoretical biology focuses more on the development of theoretical principles for biology while mathematical biology focuses on the use of mathematical tools to study biological systems, even though the two terms are sometimes interchanged.
Cell migration is a central process in the development and maintenance of multicellular organisms. Tissue formation during embryonic development, wound healing and immune responses all require the orchestrated movement of cells in particular directions to specific locations. Cells often migrate in response to specific external signals, including chemical signals and mechanical signals. Errors during this process have serious consequences, including intellectual disability, vascular disease, tumor formation and metastasis. An understanding of the mechanism by which cells migrate may lead to the development of novel therapeutic strategies for controlling, for example, invasive tumour cells.
John Mordecai Gottman is an American psychologist and professor emeritus of psychology at the University of Washington. His research focuses on divorce prediction and marital stability through relationship analyses. Insights from Gottman's work have significantly impacted the field of relationship counseling, aiming to enhance relationship functioning and mitigate behaviors detrimental to human relationships. Gottman's work has also influenced the development of important concepts on social sequence analysis.
The science of pattern formation deals with the visible, (statistically) orderly outcomes of self-organization and the common principles behind similar patterns in nature.
Paulien Hogeweg is a Dutch theoretical biologist and complex systems researcher studying biological systems as dynamic information processing systems at many interconnected levels. In 1970, together with Ben Hesper, she defined the term bioinformatics as "the study of informatic processes in biotic systems".
Reaction–diffusion systems are mathematical models that correspond to several physical phenomena. The most common is the change in space and time of the concentration of one or more chemical substances: local chemical reactions in which the substances are transformed into each other, and diffusion which causes the substances to spread out over a surface in space.
"The Chemical Basis of Morphogenesis" is an article that the English mathematician Alan Turing wrote in 1952. It describes how patterns in nature, such as stripes and spirals, can arise naturally from a homogeneous, uniform state. The theory, which can be called a reaction–diffusion theory of morphogenesis, has become a basic model in theoretical biology. Such patterns have come to be known as Turing patterns. For example, it has been postulated that the protein VEGFC can form Turing patterns to govern the formation of lymphatic vessels in the zebrafish embryo.
Lee Aaron Segel was an American applied mathematician primarily at the Rensselaer Polytechnic Institute and the Weizmann Institute of Science. He is particularly known for his work in the spontaneous appearance of order in convection, slime molds and chemotaxis.
The Turing pattern is a concept introduced by English mathematician Alan Turing in a 1952 paper titled "The Chemical Basis of Morphogenesis" which describes how patterns in nature, such as stripes and spots, can arise naturally and autonomously from a homogeneous, uniform state. The pattern arises due to Turing instability which in turn arises due to the interplay between differential diffusion of chemical species and chemical reaction. The instability mechanism is unforeseen because a pure diffusion process would be anticipated to have a stabilizing influence on the system.
In mathematics, a periodic travelling wave is a periodic function of one-dimensional space that moves with constant speed. Consequently, it is a special type of spatiotemporal oscillation that is a periodic function of both space and time.
Philip Kumar Maini is a Northern Irish mathematician. Since 1998, he has been the Professor of Mathematical Biology at the University of Oxford and is the director of the Wolfson Centre for Mathematical Biology in the Mathematical Institute.
Collective cell migration describes the movements of group of cells and the emergence of collective behavior from cell-environment interactions and cell-cell communication. Collective cell migration is an essential process in the lives of multicellular organisms, e.g. embryonic development, wound healing and cancer spreading (metastasis). Cells can migrate as a cohesive group or have transient cell-cell adhesion sites. They can also migrate in different modes like sheets, strands, tubes, and clusters. While single-cell migration has been extensively studied, collective cell migration is a relatively new field with applications in preventing birth defects or dysfunction of embryos. It may improve cancer treatment by enabling doctors to prevent tumors from spreading and forming new tumors.
The Cascade Model of Relational Dissolution is a relational communications theory that proposes four critically negative behaviors that lead to the breakdown of marital and romantic relationships. The model is the work of psychological researcher John Gottman, a professor at the University of Washington and founder of The Gottman Institute, and his research partner, Robert W. Levenson. This theory focuses on the negative influence of verbal and nonverbal communication habits on marriages and other relationships. Gottman's model uses a metaphor that compares the four negative communication styles that lead to a relationship's breakdown to the biblical Four Horsemen of the Apocalypse, wherein each behavior, or horseman, compounds the problems of the previous one, leading to total breakdown of communication.
Run-and-tumble motion is a movement pattern exhibited by certain bacteria and other microscopic agents. It consists of an alternating sequence of "runs" and "tumbles": during a run, the agent propels itself in a fixed direction, and during a tumble, it remains stationary while it reorients itself in preparation for the next run.
