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mathematics --- mathematics education --- mathematics teaching --- applications of mathematics --- Mathematics --- Mathematics. --- Math --- Science
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Mathematics --- Mathematics. --- Mathematical Theory --- Math --- Science --- interdisciplinary applications of mathematics and computation --- data mining --- applied mathematics --- mathematical modelling --- numerical analysis --- Mathematical statistics --- Computer. Automation
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interdisciplinary applications of mathematics --- computational mechanics --- Mathematics --- Biomechanics --- Mathematics. --- Biomechanics. --- Biological mechanics --- Mechanical properties of biological structures --- Biophysics --- Mechanics --- Contractility (Biology) --- Math --- Science --- Applied Mathematics. --- Mechanics. --- Mathematical Theory --- applied mathematics --- mathematical modelling --- mechanical engineering
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Computer. Automation --- Mathematics --- Mathématiques --- Periodicals --- Data processing --- Périodiques --- Informatique --- Electronic data processing --- Mathématiques --- 31.80 applications of mathematics --- Périodiques. --- #TS:TCPW --- #TS:WDEP --- 681.3 --- Computer science --- Environmental Sciences --- Ecosystems & Ecology --- Mathematical Sciences --- Applied Mathematics --- Environmental Sciences. --- Ecosystems & Ecology. --- Electronic data processing. --- 31.80 applications of mathematics. --- Data processing. --- ADP (Data processing) --- Automatic data processing --- EDP (Data processing) --- IDP (Data processing) --- Integrated data processing --- Computers --- Office practice --- Industries --- Automation --- 681.3* / / / / / / / / / / / / / / / / / / / / / / / / / / / /
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This open access volume presents a novel computational framework for understanding how collections of excitable cells work. The key approach in the text is to model excitable tissue by representing the individual cells constituting the tissue. This is in stark contrast to the common approach where homogenization is used to develop models where the cells are not explicitly present. The approach allows for very detailed analysis of small collections of excitable cells, but computational challenges limit the applicability in the presence of large collections of cells.
Biomathematics. --- Applied mathematics. --- Engineering mathematics. --- Mathematical models. --- Mathematical and Computational Biology. --- Applications of Mathematics. --- Mathematical Modeling and Industrial Mathematics. --- Models, Mathematical --- Simulation methods --- Engineering --- Engineering analysis --- Mathematical analysis --- Biology --- Mathematics --- Bioinformatics. --- Cell physiology. --- Computational biology. --- Excitation (Physiology) --- Irritability --- Nervous system --- Physiology --- Psychology --- Bioinformatics --- Cell function --- Cytology --- Bio-informatics --- Biological informatics --- Information science --- Computational biology --- Systems biology --- Data processing --- Mathematical and Computational Biology --- Applications of Mathematics --- Mathematical Modeling and Industrial Mathematics --- applied mathematics --- scientific computing --- computational physiology --- finite element methods --- cardiac modelling --- biomechanics --- numerical methods --- preconditioning --- open access --- Maths for scientists --- Mathematical modelling --- Maths for engineers
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Honored by the Max Planck Society with the Otto Hahn Medal 2007 for outstanding scientific achievements Aging is inevitable: this is gerontological dogma. And humans do inevitably grow old, which is probably why it seems so unlikely to us that other forms of life could escape aging. Escaping aging is not escaping death. Death is an inherent part of life, and it can strike any time. But the question is whether death necessarily becomes more likely as life proceeds. And it does not. The theoretical results in this monograph indicate that life provides alternative strategies. While some organisms will deteriorate over adult ages, for others mortality appears to fall or remain constant, at least over an extended period of life after reproductive maturity. This is empirically observed especially for species that keep on growing during adult ages. Perhaps the diversity of aging matches the diversity of life. My thesis, the central insight of this monograph, is: to deeply understand why some species age it is necessary to understand why other species do not.
Aging --- Physiological aspects. --- Population. --- Demography. --- Medicine. --- Evolution (Biology). --- Mathematics. --- Population Economics. --- Aging. --- Medicine/Public Health, general. --- Evolutionary Biology. --- Applications of Mathematics. --- Research. --- Math --- Science --- Animal evolution --- Animals --- Biological evolution --- Darwinism --- Evolutionary biology --- Evolutionary science --- Origin of species --- Biology --- Evolution --- Biological fitness --- Homoplasy --- Natural selection --- Phylogeny --- Clinical sciences --- Medical profession --- Human biology --- Life sciences --- Medical sciences --- Pathology --- Physicians --- Historical demography --- Social sciences --- Population --- Vital statistics --- Age --- Ageing --- Senescence --- Developmental biology --- Gerontology --- Longevity --- Age factors in disease --- Human population --- Human populations --- Population growth --- Populations, Human --- Economics --- Human ecology --- Sociology --- Demography --- Malthusianism --- Physiological effect --- Health Workforce --- Evolutionary biology. --- Applied mathematics. --- Engineering mathematics. --- Engineering --- Engineering analysis --- Mathematical analysis --- Mathematics
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