Current biological research demands the extensive use of sophisticated mathematical methods and computer-aided analysis of experiments and data. This highly interdisciplinary volume focuses on structural, dynamical and functional aspects of cellular systems and presents corresponding experiments and mathematical models. The book may serve as an introduction for biologists, mathematicians and physicists to key questions in cellular systems which can be studied with mathematical models. Recent model approaches are presented with applications in cellular metabolism, intra- and intercellular...
Current biological research demands the extensive use of sophisticated mathematical methods and computer-aided analysis of experiments and data. This ...
This book is a compilation of the presentations given at the Fourth International Symposium on Fractals in Biology and Medicine held in Ascona, Switzerland on - th 13 March 2004 and was dedicated to Professor Benoit Mandelbrot in honour of his 80 birthday. The Symposium was the fourth of a series that originated back in 1993, always in Ascona. The fourth volume consists of 29 contributions organized under four sections: Fractal structures in biological systems Fractal structures in neurosciences Fractal structures in tumours and diseases The fractal paradigm Mandelbrot s concepts such as...
This book is a compilation of the presentations given at the Fourth International Symposium on Fractals in Biology and Medicine held in Ascona, Switze...
Many different single-cell-based models have been developed and applied to biological and medical problems. Computational approaches used are Monte-Carlo simulations, energy minimisation techniques, volume conservation laws, solutions of the equations of motion for each individual cell or for each point on the cell membrane. They differ in the level of detail that defines the cell structure and subsequently in the number of individual cells that the model can incorporate.
This volume presents a collection of mathematical and computational single-cell-based models and their...
Many different single-cell-based models have been developed and applied to biological and medical problems. Computational approaches used are Monte...
The construction of mathematical models is an essential scientific activity. Mathematics is associated with developments in science and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in other fields. This book demonstrates the application of mathematics to research topics in ecology and environmental science, health and medicine, phylogenetics and neural networks, theoretical chemistry, economics and management.
The construction of mathematical models is an essential scientific activity. Mathematics is associated with developments in science and engineering...
In March 2000 leading scientists gathered at the Centro Seminariale Monte Verita, Ascona, Switzerland, for the Third International Symposium on "Fractals 2000 in Biology and Medicine." This interdisciplinary conference was held over a four-day period and provided stimulating contributions from the very topical field Fractals in Biology and Medicine. This Volume III in the MBI series highlights the growing power and efficacy of the fractal geometry in understanding how to analyze living phenomena and complex shapes. Many biological objects, previously considered as hopelessly far from any...
In March 2000 leading scientists gathered at the Centro Seminariale Monte Verita, Ascona, Switzerland, for the Third International Symposium on "Fract...
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....
Polymer and cell dynamics play an important role in processes like tumor growth, metastasis, embryogenesis, immune reactions and regeneration. This...
Understanding the dynamics of cell and tissue motion forms an essential step in understanding the dynamics of life and biological self-organization. Biological motion is one of the most obvious expressions of self-organization, as it requires autonomous creation and regulated action of forces leading to shape formation and translocation of cells and tissues. The topics of the book include intracellular motility and cytoplasma dynamics (e.g. cell division), single cell movement in varying extracellular media (e.g. chemotaxis or contact guidance), cell aggregation and cooperative motion...
Understanding the dynamics of cell and tissue motion forms an essential step in understanding the dynamics of life and biological self-organization...
"Fractals in Biology and Medicine" explores the potential of fractal geometry for describing and understanding biological organisms, their development and growth as well as their structural design and functional properties. It extends these notions to assess changes associated with disease in the hope to contribute to the understanding of pathogenetic processes in medicine. The book is the first comprehensive presentation of the importance of the new concept of fractal geometry for biological and medical sciences. It collates in a logical sequence extended papers based on invited lectures and...
"Fractals in Biology and Medicine" explores the potential of fractal geometry for describing and understanding biological organisms, their development...
Here are a range of articles, from introductory texts to state-of-the-art research in biomathematics, with topics ranging from population genetics, population dynamics, speciation, adaptive dynamics, game theory, kin selection and stochastic processes.
Here are a range of articles, from introductory texts to state-of-the-art research in biomathematics, with topics ranging from population genetics, po...
The book presents a general overview of mathematical models in the context of evolution. It covers a wide range of topics such as population genetics, population dynamics, speciation, adaptive dynamics, game theory, kin selection, and stochastic processes. Written by leading scientists working at the interface between evolutionary biology and mathematics the book is the outcome of a conference commemorating Charles Darwin's 200th birthday, and the 150th anniversary of the first publication of his book "On the origin of species." Its chapters vary in format between general introductory and...
The book presents a general overview of mathematical models in the context of evolution. It covers a wide range of topics such as population geneti...
