04402nam a22005895i 4500 978-3-031-58519-7 DE-He213 20251030112624.0 cr nn 008mamaa 240712s2024 sz | s |||| 0|eng d 9783031585197 978-3-031-58519-7 10.1007/978-3-031-58519-7 doi TA342-343 PBWH bicssc TBJ bicssc MAT003000 bisacsh PBWH thema TBJ thema Quantitative Approaches to Microcirculation [electronic resource] : Mathematical Models, Computational Methods and Data Analysis / edited by Andreas Linninger, Kent-Andre Mardal, Paolo Zunino. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. IX, 219 p. 71 illus., 67 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda SEMA SIMAI Springer Series, 2199-305X ; 36 - Mathematical Models of the Cerebral Microcirculation in Health and Pathophysiology -- A computational model of the tumor microenvironment applied to fractionated radiotherapy -- Microvascular modeling for medical imaging and toxicity assessment -- Finite element software and performance for network models with multipliers -- A Fast-Fourier Preconditioned Schur Complement Method for the Simulation of Cerebrocortical Oxygen Supply -- Robust Preconditioning of Mixed-Dimensional PDEs on 3𝒅-1𝒅 domains coupled with Lagrange Multipliers -- Numerical approaches for multiphase microfluids -- Application of the Zenger correction to an elliptic PDE with Dirac source term. Microcirculation is a key area of interest within the realms of biology and medicine. As a vital discipline, microcirculatory biology forms a significant part of established medical fields like cardiovascular medicine and oncology, and is increasingly relevant in emerging fields such as neuroscience. With its multifaceted nature, the study of microcirculation has evolved from basic observations and experiments to embrace cutting-edge imaging technologies, quantitative methods, and the power of data science. This volume brings together a series of insightful chapters that highlight the latest trends in modeling microcirculation. It casts a spotlight on the vital role of microcirculation in brain function modeling and the innovative applications of microvascular models in oncology. Readers will be introduced to state-of-the-art methodologies of microcirculation modeling. A key focus is on mixed-dimensional models, mathematical methods adept at describing complex interactions within lower dimensional manifolds. Each chapter thoughtfully navigates the mathematical, computational, and practical challenges of these approaches, underscoring their effectiveness in capturing the essence of microcirculation. This book offers a window into the latest advancements and methodologies that are shaping the future of this vital field. Mathematical models. 66910 Mathematics Data processing. 65715 Mathematics. 65523 Mathematical Modeling and Industrial Mathematics. 66912 Computational Mathematics and Numerical Analysis. 66073 Applications of Mathematics. 65529 Linninger, Andreas. editor. edt http://id.loc.gov/vocabulary/relators/edt 80415 Mardal, Kent-Andre. editor. edt http://id.loc.gov/vocabulary/relators/edt 80416 Zunino, Paolo. editor. edt http://id.loc.gov/vocabulary/relators/edt 80417 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031585180 Printed edition: 9783031585203 Printed edition: 9783031585210 SEMA SIMAI Springer Series, 2199-305X ; 36 77521 https://doi.org/10.1007/978-3-031-58519-7 ZDB-2-SMA ZDB-2-SXMS 61528 61528