Combined Discrete and Continual Approaches in Biological Modelling

Chapter 1. Introduction.- Chapter 2. Various methods of pattern formation.- Chapter 3. Clusterization of biological structures with high aspect ratio.- Chapter 4. Contact between biological attachment devices and rough.- Chapter 5. Anisotropic friction in biological systems.- Chapter 6. Mechanical interlocking of biological fasteners.- Chapter 7. Biomechanics at the microscale.- Chapter 8. Nanoscale pattern formation in biological surfaces.- Chapter 9. Ecology and evolution.

Alexander Filippov is Principal Scientist of Donetsk Institute for Physics and Engineering. He received his PhD degree in solid state physics, phase transitions and critical phenomenon in 1985 and in 1990 was habilitated as Doctor of Science in 1990 in former USSR. He is member of the Scientific Council of Donetsk Institute for Physics and Engineering of National Academy of Sciences of Ukraine. Filippov is known specialist in the fields of theoretical and applied physics. His interest ranges from atomic scale friction and planetary systems dynamis to the questions of biological evolution and ecology. He discovered for the first time so-called physical branch of solution of the exact local renormalization group equation and developed new variant of the perturbation theory based on naturally small Fisher exponent. Filippov performed a number of outstanding studies of critical phenomena in magnetic, traditional and high-temperature superconducting systems. Most these works are published in Nature, PNAS, Phys. Rev. Letters, Scientific Reports and other top journals. Using ideas of dynamic chaos and self-organization in nonlinear systems, Filippov published a number of studies related to the general theory of biological evolution and some applications to the bacterial growth, ecology of seed dispersal, animal behaviour, biomimetics, etc. He also has numerous publications in tribology on mesoscopic fractal and nano-scale surfaces, which are extremely well recognized and widely cited by the scientific community. He was invited by numerous working groups worldwide to theoretically solve specific experimental problems: Universite Pierre et Marie Curie (France), University of Nymegen (the Netherlands), Hong Kong  Baptist University (Hong Kong), Tel Aviv University (Israel), Berlin Technical University (Germany), International School for Advanced Studies (SISSA, Trieste, Italy), University of Kiel (Germany), Université de Montréal (Canada). In 2016, Filippov receivedthe

"The book is generously illustrated with both black-and-white and color figures; it has a useful list of references and a detailed index. The monograph is a valuable contribution to existing literature and would be of interest for researchers working in related areas. The book promotes novel ideas regarding self-organization and dynamics of complex biological systems and suggests new approaches to mathematical modeling of such systems leading to a better understanding of the living nature around us." (Yuriy V. Rogovchenko, Mathematical Reviews, January, 2023)
"The expository style adopted in the book is quite unique ... . Each chapter begins with an abstract, which prepares the reader to better absorb the mathematical details that follow. The chapters are quite self-contained and can be read independently. ... The book is suitable for undergraduate mathematical sciences and engineeringstudents who will benefit from learning ... core physical principles. The wide variety of examples could be beneficial to the quantitative-minded biology students and the advanced researchers as well." (Wasiur Rahman Khuda Bukhsh, zbMATH 1478.92002, 2022)