Multidisciplinary Mathematical Modelling: Applications of Mathematics to the Real World

This book presents a collection of talks from the International Congress on Industrial and Applied Mathematics, focusing on mathematical studies in various areas such as cancer modelling, carbon capture, and earthquake prediction. Collaborations with biomedical engineers, physicists, and chemists aided these studies. The book is intended for researchers in these fields and general mathematical modelling.

Format: Paperback / softback
Length: 89 pages
Publication date: 15 April 2022
Publisher: Springer Nature Switzerland AG

This captivating book offers a captivating collection of talks derived from extensive research conducted by diverse groups at the renowned Centre de Recerca Matemàtica. These insightful discussions were presented at the International Congress on Industrial and Applied Mathematics, held in Valencia in 2019. Spanning a wide range of topics, the various chapters delve into diverse subjects such as cancer modeling, carbon capture by adsorption, nanoscale diffusion, and complex systems for predicting earthquakes. The profound insights gained through these mathematical endeavors were greatly facilitated by collaborative efforts with biomedical engineers, physicists, and chemists. This comprehensive volume is intended for researchers across these fields, as well as those engaged in general mathematical modeling.

Introduction:
The Centre de Recerca Matemàtica is a renowned institution dedicated to advancing mathematical research and innovation. Its commitment to excellence has led to the production of groundbreaking work in various domains. This book serves as a testament to the Centre's dedication to pushing the boundaries of knowledge and fostering interdisciplinary collaboration.

Chapter Highlights:
The book is organized into several chapters, each presenting a diverse range of topics. In the first chapter, the authors explore cancer modeling, employing mathematical techniques to gain insights into the complex mechanisms underlying cancer development and progression. They discuss the use of mathematical models to simulate tumor growth, predict treatment responses, and design novel therapeutic strategies.

The second chapter focuses on carbon capture by adsorption, a promising technology for mitigating climate change. The authors discuss the development of mathematical models to optimize the design and performance of carbon capture systems, considering factors such as energy efficiency, cost, and environmental impact. They also explore the use of machine learning algorithms to enhance the efficiency of carbon capture processes.

In the third chapter, the authors delve into nanoscale diffusion, a fundamental process in many biological and chemical systems. They discuss the development of mathematical models to describe the movement of particles at the nanoscale, including the influence of surface properties, molecular interactions, and external forces. These models are crucial in understanding the behavior of materials and biological systems, and have applications in drug delivery, nanotechnology, and environmental science.

The fourth chapter explores complex systems for predicting earthquakes. The authors discuss the use of mathematical models to analyze the dynamics of tectonic plates, identify potential earthquake zones, and predict the intensity and frequency of earthquakes. They also explore the use of machine learning algorithms to enhance the accuracy of earthquake predictions and develop early warning systems.

Collaborations with biomedical engineers, physicists, and chemists played a pivotal role in the success of these mathematical studies. The authors highlight the importance of interdisciplinary collaboration in addressing complex scientific challenges and advancing our understanding of the world.

Conclusion:
This book presents a remarkable collection of talks that showcase the power of mathematics in addressing pressing scientific and societal challenges. The diverse topics covered and the collaborative efforts involved demonstrate the Centre de Recerca Matemàtica's commitment to advancing knowledge and fostering interdisciplinary research. The insights gained from these studies have the potential to transform various fields and improve our quality of life.

Weight: 168g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030642747
Edition number: 1st ed. 2021