Multidisciplinary Mathematical Modelling: Applications of Mathematics to the Real World (SEMA SIMAI Springer Series, 11)

This book presents a selection of the talks resulting from research carried out by different groups at the Centre de Recerca Matemàtica and presented at the International Congress on Industrial and Applied Mathematics, held in Valencia in 2019. The various chapters describe a wide variety of topics: cancer modelling, carbon capture by adsorption, nanoscale diffusion and complex systems to predict earthquakes. These mathematical studies were specifically aided via collaborations with biomedical engineers, physicists and chemists. The book is addressed to researchers in all of these areas as well as in general mathematical modelling. Preface 6 Contents 7 Editors and Contributors 8 About the Editors 8 Contributors 8 Spatiotemporal Dynamics of Cancer Phenotypic Quasispecies Under Targeted Therapy 10 1 Introduction 11 2 Mathematical and Computational Models of Cancer Phenotypic Quasispecies 14 2.1 Differential Equations Model 15 2.2 Stochastic Bit-Strings Model 18 2.3 The Impact of Targeted Therapy 25 3 Conclusions 27 References 28 Guyer–Krumhansl Heat Conduction in ThermoreflectanceExperiments 30 1 Introduction 30 2 Mathematical Model 32 3 Connections to Linear Viscoelasticity 34 4 Time-Harmonic Heating 35 5 Arbitrary Heating Functions 40 6 Conclusions 41 References 41 A Mathematical Model of Carbon Capture by Adsorption 44 1 Introduction 44 2 Mathematical Model 46 2.1 Nondimensional Model 47 3 Travelling Wave Solution 48 4 Asymptotic Solution for Small Times 50 5 Numerical Solution 51 6 Results and Discussion 52 7 Conclusions 55 References 56 Diffusion Processes at Nanoscale 58 1 Why Nanoscale Is so Interesting? 58 2 Nanoparticles Growth 59 2.1 Model for a Single Particle 60 2.2 Ostwald Ripening 63 2.3 N Particles System 64 3 Drug Delivery 65 3.1 Non-Newtonian Fluids 66 3.2 Advection–Diffusion Equation 68 3.3 Preliminary Results 69 4 Conclusions 70 References 71 Maximum Likelihood Estimation of Power-Law Exponents for Testing Universality in Complex Systems 73 1 Introduction 74 2 Merging Datasets 76 3 Performance Over Synthetic Datasets 79 4 Earthquake and Charcoal Labquake Catalogs 80 4.1 Effect of the Magnitude Resolution in Earthquake Catalogs 83 5 Merging Earthquake Catalogs 85 6 Merging Earthquake and Labquake Catalogs: Universality 86 7 Conclusions 94 References 95 "This book presents a selection of the talks resulting from research carried out by different groups at the Centre de Recerca Matemàtica and presented at the International Congress on Industrial and Applied Mathematics, held in Valencia in 2019. The various chapters describe a wide variety of topics: cancer modelling, carbon capture by adsorption, nanoscale diffusion and complex systems to predict earthquakes. These mathematical studies were specifically aided via collaborations with biomedical engineers, physicists and chemists. The book is addressed to researchers in all of these areas as well as in general mathematical modelling."-- Provided by publisher "This book presents a selection of the talks resulting from research carried out by different groups at the Centre de Recerca Matemàtica and presented at the International Congress on Industrial and Applied Mathematics, held in Valencia in 2019. The various chapters describe a wide variety of topics: cancer modelling, carbon capture by adsorption, nanoscale diffusion and complex systems to predict earthquakes. These mathematical studies were specifically aided via collaborations with biomedical engineers, physicists and chemists. The book is addressed to researchers in all of these areas as well as in general mathematical modelling"--Back cover C. Penella et al., Spatiotemporal dynamics of cancer phenotypic quasispecies under targeted therapy -- M. Hennessy and T. Myers, Guyer-Krumhansl heat conduction in thermoreflectance experiments -- F. Font et al., A mathematical model of carbon capture by adsorption -- C. Fanelli, Diffusion processes at nanoscale -- V. Navas-Portella et al., Maximum likelihood estimation of power-law exponents for testing universality in complex systems This book presents a selection of the talks resulting from research carried out by different groups at the Centre de Recerca Matematica and presented at the International Congress on Industrial and Applied Mathematics, held in Valencia in 2019. The book is addressed to researchers in all of these areas as well as in general mathematical modelling.