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Conference International Workshop "Multiscale Models in Mechano and Tumor Biology: Modeling, Homogenization and Applications" (2015 : Darmstadt, Germany)
Title Multiscale models in mechano and tumor biology : modeling, homogenization, and applications / Alf Gerisch, Raimondo Penta, Jens Lang, editors.
Imprint Cham, Switzerland : Springer, 2018.

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Conference International Workshop "Multiscale Models in Mechano and Tumor Biology: Modeling, Homogenization and Applications" (2015 : Darmstadt, Germany)
Series Lecture notes in computational science and engineering, 1439-7358 ; 122.
Lecture notes in computational science and engineering ; 122.
Subject Multiscale modeling -- Congresses.
Alt Name Gerisch, Alf,
Penta, Raimondo,
Lang, Jens,
Description 1 online resource.
polychrome rdacc
Bibliography Note Includes bibliographical references and index.
Note Online resource; title from PDF title page (SpringerLink, viewed March 21, 2018).
Contents 3.3.1 Description of the Models3.3.1.1 Microscopic Dynamics: The Intracellular Proton Concentration; Extracellular Proton Concentration; Cell Dynamics on the Macroscale; 3.3.2 Analytical Results; 3.3.3 Simulation Results; Simulations for the SMAMCI Model; Simulations for the SAIG Model; 3.4 Discussion; Appendix; References; 4 Numerical Simulation of a Contractivity Based Multiscale Cancer Invasion Model; 4.1 Introduction; 4.2 Mathematical Model; 4.3 Numerical Method; 4.3.1 Space Discretization; 4.3.2 Time Discretization; 4.3.3 Treatment of the Delay Term
4.3.4 Choice of the Time Step4.4 Experimental Results; 4.4.1 Description of Experiments; 4.5 Conclusions; References; 5 Modelling Tissue Self-Organization: From Micro to Macro Models; 5.1 Introduction; 5.2 Individual Based Model for Fibers Interacting Through Alignment Interactions; 5.3 Derivation of a Kinetic Model; 5.4 Scaling and Macroscopic Model; 5.5 Conclusion; References; 6 A Multiscale Modeling Approach to Transport of Nano-Constructs in Biological Tissues; 6.1 Biophysics of Cancer; 6.1.1 An Overview of Transport Phenomena in Tumors
6.2 A Microscale Approach to Transport of Nano-Constructs6.2.1 Microscopic Model; Hydrodynamic Retardations; Driving Forces; Microscopic Geometry; 6.2.2 Upscaling Method; 6.2.3 Numerical Methods; 6.2.4 Numerical Results; Sensitivity Analysis of Microscopic Effects; Nanofluid Motion Around a Cell; Nanofluid Motion into a Pore/Layer; 6.3 A Macroscale Approach to Transport in Vascularized Tissues; 6.3.1 Governing Equations of Flow at the Macroscale; 6.3.2 Governing Equations of Mass Transport at the Macroscale; 6.3.3 Computational Solver
Intro; Preface; Contents; List of Contributors; 1 An Introduction to Asymptotic Homogenization; 1.1 Introduction; 1.2 One Dimensional Diffusion Problem; 1.2.1 Basic Set of Assumptions; 1.2.2 The Homogenized Problem; (Sf (B0; (Sf (B1; (Sf (B2; 1.3 Multidimensional Diffusion Problem; (Sf (B0; (Sf (B1; (Sf (B2; 1.4 Porous Media Flow: Homogenization of the Stokes' Problem; 1.4.1 Non-Dimensionalisation; 1.4.2 The Homogenized Problem; (Sf (B0; (Sf (B1; 1.5 Concluding Remarks; References; 2 Asymptotic Homogenization with a Macroscale Variation in the Microscale; 2.1 Introduction; 2.1.1 Literature Review; 2.1.2 Chapter Outline
2.2 Model Set-Up2.3 Homogenization; 2.3.1 Transforming the Normal; 2.3.2 Homogenization Procedure; The O(1) Problem; The O((Sf (B) Problem; The O((Sf (B2) Problem; The Homogenized Equations; 2.4 Interpreting the Homogenized Problem; Appendix 1; Appendix 2; References; 3 Mathematical Models for Acid-Mediated Tumor Invasion: From Deterministic to Stochastic Approaches; 3.1 Introduction; 3.2 Continuum Mathematical Models: A Synopsis; 3.2.1 Deterministic Approaches; 3.2.2 Stochastic Approaches; 3.3 Multiscale Stochastic Models for Acid-Mediated Tumor Invasion
ISBN 9783319733715 (electronic bk.)
3319733710 (electronic bk.)
9783319733708 (print)
OCLC # 1029054914

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