Introduction to spatiotemporal modeling and simulation
This course teaches modeling techniques for spatially resolved systems. You will learn to account for the geometry of a system and for transport in space. After repetition of the basics from mathematics and physics, you will model processes such as diffusion and flow, and simulate them in the computer.
dimensionality analysis, causality diagrams, vector fields, particle methods, governing equations for diffusion and flow, hybrid particle-mesh methods for computer simulations, student project: simulation of a biological system.
Lecture: Tuesdays, 14:50-16:20h, CSBD Seminar Room Ground Floor (Pfotenhauerstr. 108)
Exercises: Tuesdays, 16:40-18:10h, CSBD Seminar Room Ground Floor (Pfotenhauerstr. 108)
2 SWS lecture, 2 SWS exercise, self-study
Programs / Modules
M.Sc. Computational Modeling and Simulation, Modules: CMS-CLS-MOS
B.Sc. Computer Science, Module: INF-B-510
Diplom Computer Science, Module: INF-D-510
Registration to the course
For students of the Master program "Computational Modeling and Simulation: via CampusNet SELMA
For students of the Computer Science programs: via jExam
For students of the IMPRS-CellDevoSys: via the program office
Lecture: Prof. Ivo F. Sbalzarini
Exercises: Karl Hoffmann
Analysis of the dynamic behavior of biological or physical systems with spatial structure
Formulation of a model of the system behavior
Computer simulation of the model using numerical methods
We focus on biological systems. The taught methods and concepts are, however, applicable in a much broader sense.
Lecture language: ENGLISH
Please find below the lecture syllabus, the slides, the self-check questions, and the exercises:
- Lecture 1 - Administration and Introduction
- Lecture 2 - Dimensional Analysis
- Lecture 3 - Modeling Dynamics: Reservoirs and Flows
- Lecture 4 - Recap on Vector Calculus
- Lecture 5 - Conservation Laws and Control Volume Methods
- Lecture 6 - Particle Methods
- Lecture 7 - Diffusion
- Lecture 8 - Reaction-Diffusion
- Lecture 9 - Advection-Diffusion
- Lecture 10 - Flow
- Lecture 11 - PDEs
Full lecture notes can be found here: Script (PDF).
The student project will aim at implementing the Quorum Sensing model proposed by J. Müller et al. as described in this publicly available preprint.