Multiscale models in mechano and tumor biology : modeling, homogenization, and applications /: modeling, homogenization, and applications. (2018)

• Record Type: Book
• Further Information: Note: Alf Gerisch, Raimondo Penta, Jens Lang, editors.
• Editors: Gerisch, Alf; Penta, Raimondo; Lang, Jens
• Other Names: International Workshop "Multiscale Models in Mechano and Tumor Biology: Modeling, Homogenization and Applications"
• Contents: 3.3.1 Description of the Models3.3.1.1 Microscopic Dynamics: The Intracellular Proton Concentration; 3.3.1.2 Extracellular Proton Concentration; 3.3.1.3 Cell Dynamics on the Macroscale; 3.3.2 Analytical Results; 3.3.3 Simulation Results; 3.3.3.1 Simulations for the SMAMCI Model; 3.3.3.2 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; 6.2.1.1 Hydrodynamic Retardations; 6.2.1.2 Driving Forces; 6.2.1.3 Microscopic Geometry; 6.2.2 Upscaling Method; 6.2.3 Numerical Methods; 6.2.4 Numerical Results; 6.2.4.1 Sensitivity Analysis of Microscopic Effects; 6.2.4.2 Nanofluid Motion Around a Cell; 6.2.4.3 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
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 003/.3; Mathematics; Multiscale modeling -- Congresses; SCIENCE / System Theory; TECHNOLOGY & ENGINEERING / Operations Research; Multiscale modeling; Mathematics -- Applied; Mathematics -- Differential Equations; Mathematics -- Mathematical Analysis; Applied mathematics; Differential calculus & equations; Computer science_xMathematics; Physiology_xMathematics; Differential equations, partial; Mathematics -- Counting & Numeration; Numerical analysis; Electronic books; Conference papers and proceedings
• Languages: English
• ISBNs: 9783319733715; 3319733710
• Related ISBNs: 9783319733708
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed March 21, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.