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This book presents original papers reflecting topics featured at
the international symposium entitled "Fusion of Mathematics and
Biology" and organized by the editor of the book. The symposium,
held in October 2020 at Osaka University in Japan, was the core
event for the final year of the research project entitled
"Establishing International Research Networks of Mathematical
Oncology." The project had been carried out since April 2015 as
part of the Core-to-Core Program of Japan Society for the Promotion
of Science (JSPS). In this book, the editor presents collaborative
research from prestigious organizations in France, the UK, and the
USA. By utilizing their individual strengths and realizing the
fusion of life science and mathematical science, the project
achieved a combination of mathematical analysis, verification by
biomedical experiments, and statistical analysis of chemical
databases. Mathematics is sometimes regarded as a universal
language. It is a valuable property that everyone can understand
beyond the boundaries of culture, religion, and language. This
unifying force of mathematics also applies to the various fields of
science. Mathematical oncology has two aspects, i.e., data science
and mathematical modeling, and definitely helps in the prediction
and control of biological phenomena observed in cancer evolution.
The topics addressed in this book represent several methods of
applying mathematical modeling to scientific problems in the
natural sciences. Furthermore, novel reviews are included that may
motivate many mathematicians to become interested in biological
research.
Polymer and cell dynamics play an important role in processes
like tumor growth, metastasis, embryogenesis, immune reactions and
regeneration. This volume based on an international workshop on
numerical simulations of polymer and cell dynamics in Bad Honnef
(Germany) in 2000 provides an overview of the relevant mathematical
and numerical methods, their applications and limits. The
contributions are from the fields of applied and numerical
mathematics, scientific computing, theoretical physics, molecular
biophysics, cell and molecular biology as well as chemical and
biomedical engineering. The volume will be of interest to
scientists and advanced undergraduates in the fields of
biotechnology, biomedicine, applied mathematics, biomathematics,
biophysics and bioinformatics."
Polymer and cell dynamics play an important role in processes
like tumor growth, metastasis, embryogenesis, immune reactions and
regeneration. This volume based on an international workshop on
numerical simulations of polymer and cell dynamics in Bad Honnef
(Germany) in 2000 provides an overview of the relevant mathematical
and numerical methods, their applications and limits. The
contributions are from the fields of applied and numerical
mathematics, scientific computing, theoretical physics, molecular
biophysics, cell and molecular biology as well as chemical and
biomedical engineering. The volume will be of interest to
scientists and advanced undergraduates in the fields of
biotechnology, biomedicine, applied mathematics, biomathematics,
biophysics and bioinformatics."
This book presents original papers reflecting topics featured at
the international symposium entitled "Fusion of Mathematics and
Biology" and organized by the editor of the book. The symposium,
held in October 2020 at Osaka University in Japan, was the core
event for the final year of the research project entitled
"Establishing International Research Networks of Mathematical
Oncology." The project had been carried out since April 2015 as
part of the Core-to-Core Program of Japan Society for the Promotion
of Science (JSPS). In this book, the editor presents collaborative
research from prestigious organizations in France, the UK, and the
USA. By utilizing their individual strengths and realizing the
fusion of life science and mathematical science, the project
achieved a combination of mathematical analysis, verification by
biomedical experiments, and statistical analysis of chemical
databases. Mathematics is sometimes regarded as a universal
language. It is a valuable property that everyone can understand
beyond the boundaries of culture, religion, and language. This
unifying force of mathematics also applies to the various fields of
science. Mathematical oncology has two aspects, i.e., data science
and mathematical modeling, and definitely helps in the prediction
and control of biological phenomena observed in cancer evolution.
The topics addressed in this book represent several methods of
applying mathematical modeling to scientific problems in the
natural sciences. Furthermore, novel reviews are included that may
motivate many mathematicians to become interested in biological
research.
The aim of these lecture notes is to give an introduction to
several mathematical models and methods that can be used to
describe the behaviour of living systems. This emerging field of
application intrinsically requires the handling of phenomena
occurring at different spatial scales and hence the use of
multiscale methods.Modelling and simulating the mechanisms that
cells use to move, self-organise and develop in tissues is not only
fundamental to an understanding of embryonic development, but is
also relevant in tissue engineering and in other environmental and
industrial processes involving the growth and homeostasis of
biological systems. Growth and organization processes are also
important in many tissue degeneration and regeneration processes,
such as tumour growth, tissue vascularization, heart and muscle
functionality, and cardio-vascular diseases.
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