Dynamical Systems Pdes And Networks For Biomedical Applications Mathematical Modeling Analysis And Simulations

Dynamical Systems, PDEs and Networks for Biomedical Applications: Mathematical Modeling, Analysis and Simulations

Mathematical Modeling and Simulation

This concise and clear introduction to the topic requires only basic knowledge of calculus and linear algebra - all other concepts and ideas are developed in the course of the book. Lucidly written so as to appeal to undergraduates and practitioners alike, it enables readers to set up simple mathematical models on their own and to interpret their results and those of others critically. To achieve this, many examples have been chosen from various fields, such as biology, ecology, economics, medicine, agricultural, chemical, electrical, mechanical and process engineering, which are subsequently discussed in detail. Based on the author`s modeling and simulation experience in science and engineering and as a consultant, the book answers such basic questions as: What is a mathematical model? What types of models do exist? Which model is appropriate for a particular problem? What are simulation, parameter estimation, and validation? The book relies exclusively upon open-source software which is available to everybody free of charge. The entire book software - including 3D CFD and structural mechanics simulation software - can be used based on a free CAELinux-Live-DVD that is available in the Internet (works on most machines and operating systems).

Systems Biology Application in Synthetic Biology

This book introduces students to methods that will help them understand behaviour in terms of cellular components and their interactions in non-intuitive ways, which calls for an interdisciplinary approach combining mathematical, chemical, computational and biological strategies. Tibor Ganti was one of the early pioneers who proposed a theoretical framework to understand living principles in terms of chemical transformation cycles and their coupling. The twenty-first century then brought with it a novel ‘systems’ paradigm, which shone new light on all previous work and was accompanied by numerous implications for the way we conceive of chemical and biological complexity today. This book seeks to equip students to take advantage of any field that investigates living systems. Based on a conceptualisation of science-oriented branches, engineering-oriented branches and biology as astoundingly complex fields, those structures laden with biochemical detail encompass a deeper theory unifying our knowledge of designed systems. Readers will be pleasantly surprised at how lucidly the topics are presented. The book offers an indispensable resource for students and professionals working in systems and synthetic biology or any of the various related fields of research.