Mobility and Cell Dynamics: Introduction to Tumor Dynamics and Growth
Additional Info
- ECTS credits: 6
- University: University of Granada
- Semester: 3
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Topics:
Topic 1: Collective Behavior of Species.
Microscopic Models: Agent-Based.Meso/Macroscopic Models: Kinetic and Hydrodynamic.Micro-Macro Scaling Limits: Mean-Field and Hydrodynamic Limits.Species Dynamics: Reynolds, Visek, Cucker-Smale Models, Aggregation, etc.Synchronization Processes: Kuramoto Model.
Topic 2: Introduction to Cellular Mobility Processes.
Mobility and Differentiation.Chemotaxis and Bioconvection Processes. Keller-Segel Model and Variants.Random Walkers and Macroscopic Descriptions.Central Limit Theorems and Anomalous Diffusion.
Topic 3: Cellular Communication.
Morphogenesis. Pattern Formation. Cellular Response.Signaling Pathways and Target Genes. Application to the Shh-Gli Pathway.Pattern Formation. Traveling Waves.Critical Analysis of Diffusive Models as Transport Engines.Optimal Mass Transport and Nonlinear Models for Morphogenesis.Synthetic Biology: Biobricks, Creation of Smart Drugs, Gene Therapy, Tissue Regeneration, Protein Design, and Bioplastics.
