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Gaussian processes for machine learning
Authors: ---
ISBN: 026218253X 9780262182539 9780262256834 0262256835 1423769902 9781423769903 0262261073 9786612097966 1282097962 9786612096709 Year: 2006 Publisher: Cambridge, Mass. : MIT Press,


Book
Evolutionary Genomics : Statistical and Computational Methods
Authors: ---
ISBN: 1493990748 149399073X Year: 2019 Publisher: Springer Nature

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Abstract

This open access book addresses the challenge of analyzing and understanding the evolutionary dynamics of complex biological systems at the genomic level, and elaborates on some promising strategies that would bring us closer to uncovering of the vital relationships between genotype and phenotype. After a few educational primers, the book continues with sections on sequence homology and alignment, phylogenetic methods to study genome evolution, methodologies for evaluating selective pressures on genomic sequences as well as genomic evolution in light of protein domain architecture and transposable elements, population genomics and other omics, and discussions of current bottlenecks in handling and analyzing genomic data. Written for the highly successful Methods in Molecular Biology series, chapters include the kind of detail and expert implementation advice that lead to the best results. Authoritative and comprehensive, Evolutionary Genomics: Statistical and Computational Methods, Second Edition aims to serve both novices in biology with strong statistics and computational skills, and molecular biologists with a good grasp of standard mathematical concepts, in moving this important field of study forward.


Book
Mathematical Modeling of the Human Brain : From Magnetic Resonance Images to Finite Element Simulation / Kent-André Mardal, Marie E. Rognes, Travis B. Thompson, Lars Magnus Valnes.
Authors: --- --- ---
ISBN: 3030951367 3030951359 Year: 2022 Publisher: Cham Springer Nature

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This open access book bridges common tools in medical imaging and neuroscience with the numerical solution of brain modelling PDEs. The connection between these areas is established through the use of two existing tools, FreeSurfer and FEniCS, and one novel tool, the SVM-Tk, developed for this book. The reader will learn the basics of magnetic resonance imaging and quickly proceed to generating their first FEniCS brain meshes from T1-weighted images. The book's presentation concludes with the reader solving a simplified PDE model of gadobutrol diffusion in the brain that incorporates diffusion tensor images, of various resolution, and complex, multi-domain, variable-resolution FEniCS meshes with detailed markings of anatomical brain regions. After completing this book, the reader will have a solid foundation for performing patient-specific finite element simulations of biomechanical models of the human brain.


Book
Analysis of reaction-diffusion models with the Taxis mechanism
Authors: --- ---
ISBN: 981193763X 9811937621 Year: 2022 Publisher: Singapore Springer Nature

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Abstract

This open access book deals with a rich variety of taxis-type cross-diffusive equations. Particularly, it intends to show the key role played by quasi-energy inequality in the derivation of some necessary a priori estimates. This book addresses applied mathematics and all researchers interested in mathematical development of reaction-diffusion theory and its application and can be a basis for a graduate course in applied mathematics.

Keywords

Boundary value problems. --- Chemotaxis --- Navier-Stokes equations. --- Mathematical models. --- Equations, Navier-Stokes --- Differential equations, Partial --- Fluid dynamics --- Viscous flow --- Chemiotaxis --- Chemotropism --- Biochemistry --- Growth --- Taxes (Biology) --- Boundary conditions (Differential equations) --- Differential equations --- Functions of complex variables --- Mathematical physics --- Initial value problems --- Problemes de contorn --- Quimiotaxi --- Models matemàtics --- Equacions de Navier-Stokes --- Navier-Stokes (Equacions) --- Dinàmica de fluids --- Equacions en derivades parcials --- Models (Matemàtica) --- Models experimentals --- Models teòrics --- Mètodes de simulació --- Anàlisi de sistemes --- Mètode de Montecarlo --- Modelització multiescala --- Models economètrics --- Models lineals (Estadística) --- Models multinivell (Estadística) --- Models no lineals (Estadística) --- Programació (Ordinadors) --- Simulació per ordinador --- Teoria de màquines --- Models biològics --- Bioquímica --- Creixement --- Problemes de valor límit --- Equacions diferencials --- Física matemàtica --- Funcions de variables complexes --- Dispersió (Matemàtica) --- Equacions de Von Kármán --- Problema de Dirichlet --- Problema de Neumann --- Problemes de Riemann-Hilbert --- Problemes de valor inicial --- Reaction-Diffusion --- Haptotaxis --- Navier-Stokes --- Cancer invasion --- Coral fertilization --- Sensity-suppressed motility --- Oncolytic virotherapy --- Foraging scrounging interplay


Book
Model and mathematics : from the 19th to the 21st century
Authors: ---
ISBN: 3030978338 303097832X 9783030978327 Year: 2022 Publisher: Cham Springer Nature

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This open access book collects the historical and medial perspectives of a systematic and epistemological analysis of the complicated, multifaceted relationship between model and mathematics, ranging from, for example, the physical mathematical models of the 19th century to the simulation and digital modelling of the 21st century. The aim of this anthology is to showcase the status of the mathematical model between abstraction and realization, presentation and representation, what is modeled and what models. This book is open access under a CC BY 4.0 license.

Keywords

Mathematical models --- History. --- Models, Mathematical --- Simulation methods --- Models matemàtics --- Història --- Ciències socials --- Humanitats --- Ciències polítiques --- Conspiracions --- Cops d'Estat --- Cròniques --- Cronologia --- Demografia històrica --- Descobriments geogràfics --- Diplomàcia --- Escàndols --- Filosofia de la història --- Fonts històriques --- Història antiga --- Història constitucional --- Història contemporània --- Història de l'antropologia --- Història de l'art --- Història de l'urbanisme --- Història de la ciència --- Història de la civilització --- Història de la dona --- Història de la filosofia --- Història de la lingüística --- Història de la literatura --- Història de la psicologia --- Història de la tecnologia --- Història de la veterinària --- Història de les biblioteques --- Història del dret --- Història del llibre --- Història del transport --- Història eclesiàstica --- Història econòmica --- Història local --- Història medieval --- Història militar --- Història moderna --- Història pública --- Història social --- Història universal --- Historiografia --- Llocs històrics --- Migració de pobles --- Reis i sobirans --- Cinema històric --- Protohistòria --- Sociologia històrica --- Ciències auxiliars de la història --- Didàctica de la història --- Historiadores --- Historiadors --- Previsió --- Models (Matemàtica) --- Models experimentals --- Models teòrics --- Mètodes de simulació --- Anàlisi de sistemes --- Mètode de Montecarlo --- Modelització multiescala --- Models economètrics --- Models lineals (Estadística) --- Models multinivell (Estadística) --- Models no lineals (Estadística) --- Programació (Ordinadors) --- Simulació per ordinador --- Teoria de màquines --- Models biològics --- history of mathematics: 19th to the 21st century --- mathematical model --- model theory --- mathematization of nature --- Mathematics


Book
Pandemics : insurance and social protection
Authors: --- --- ---
ISBN: 3030783340 3030783332 Year: 2021 Publisher: Cham : Springer International Publishing AG,

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Abstract

This open access book collects expert contributions on actuarial modelling and related topics, from machine learning to legal aspects, and reflects on possible insurance designs during an epidemic/pandemic. Starting by considering the impulse given by COVID-19 to the insurance industry and to actuarial research, the text covers compartment models, mortality changes during a pandemic, risk-sharing in the presence of low probability events, group testing, compositional data analysis for detecting data inconsistencies, behaviouristic aspects in fighting a pandemic, and insurers' legal problems, amongst others. Concluding with an essay by a practicing actuary on the applicability of the methods proposed, this interdisciplinary book is aimed at actuaries as well as readers with a background in mathematics, economics, statistics, finance, epidemiology, or sociology.

Keywords

Assegurances --- Models matemàtics --- Estadística matemática --- Seguretat social --- Epidèmies --- Endèmias --- Malalties epidèmiques --- Pandèmies --- Pestes --- Epidemiologia --- Còlera --- Epidèmia de grip, 1918-1919 --- Febre groga --- Pandèmia de COVID-19, 2020 --- -Pesta --- Pesta Negra --- Assegurances obreres --- Assegurances socials --- Estat i assegurances --- Dret social --- Pensions --- Seguretat econòmica --- Assegurances de malaltia --- Indemnitzacions als treballadors --- Subsidi d'atur --- Subsidi de maternitat --- Benestar social --- Pensions no contributives --- Plans de pensions --- Distribució de la renda --- Renda mínima --- Estadística descriptiva --- Inferència estadística --- Matemàtica estadística --- Mètodes estadístics --- Estadística --- Anàlisi d'error (Matemàtica) --- Anàlisi de regressió --- Anàlisi de sèries temporals --- Anàlisi de variància --- Anàlisi multivariable --- Anàlisi seqüencial --- Astronomia estadística --- Correlació (Estadística) --- Dependència (Estadística) --- Estadística no paramètrica --- Estadística robusta --- Física estadística --- Mètode dels moments (Estadística) --- Models lineals (Estadística) --- Models no lineals (Estadística) --- Teoria de l'estimació --- Teoria de la predicció --- Tests d'hipòtesi (Estadística) --- Biometria --- Mostreig (Estadística) --- Models (Matemàtica) --- Models experimentals --- Models teòrics --- Mètodes de simulació --- Anàlisi de sistemes --- Mètode de Montecarlo --- Modelització multiescala --- Models economètrics --- Models multinivell (Estadística) --- Programació (Ordinadors) --- Simulació per ordinador --- Teoria de màquines --- Models biològics --- Finances privades --- Assegurances aèries --- Assegurances col·lectives --- Assegurances contra els riscs de guerra --- Assegurances d'accidents --- Assegurances d'automòbils --- Assegurances d'incendis --- Assegurances d'invalidesa --- Assegurances de crèdit --- Assegurances de l'empresa --- Assegurances de mercaderies --- Assegurances de responsabilitat civil --- Assegurances de viatgers --- Assegurances de vida --- Assegurances marítimes --- Companyies d'assegurances --- Gestió del risc --- Primes (Assegurances) --- Reassegurances --- Agents d'assegurances --- Risc (Assegurances) --- Epidemics. --- Insurance --- Social security. --- Mathematical models. --- Statistical methods. --- Insurance, Social --- Insurance, State and compulsory --- Social insurance --- Income maintenance programs --- Actuarial statistics --- Insurance statistics --- Disease outbreaks --- Diseases --- Outbreaks of disease --- Pestilences --- Communicable diseases --- Mathematics --- Outbreaks --- Epidemics --- Risk --- Social protection --- Actuarial modelling --- Open Access

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