636-0118-00L  Introduction to Dynamical Systems with Applications to Biology

SemesterAutumn Semester 2018
LecturersM. H. Khammash, A. Gupta
Periodicityyearly recurring course
Language of instructionEnglish



Courses

NumberTitleHoursLecturers
636-0118-00 GIntroduction to Dynamical Systems with Applications to Biology
Lecture Wednesdays 11-13h
Tutorials Wednesdays 17-18h
Attention: Lecture starts on Sept. 26
3 hrs
Wed11:15-13:00BSA E 46 »
17:15-18:00BSA E 46 »
M. H. Khammash, A. Gupta

Catalogue data

AbstractMany physical systems are dynamic and are characterized by internal variables that change with time. Describing the quantitative and qualitative features of this change is the topic of dynamical systems theory. Dynamical systems arise naturally in virtually all scientific disciplines including physics, biology, chemistry and engineering. This course is a broad introduction to the topic dynamical s
ObjectiveThe goal of this course is to introduce the student to dynamical systems and to develop a solid understanding of their fundamental properties. The theory will be developed systematically, focusing on analytical methods for low dimensional systems, geometric intuition, and application examples from biology. Computer simulations using matlab will be used to demonstrate various concepts
ContentA dynamical view of the world; the importance of nonlinearity; solutions of differential equations; solving equations on the computer; the phase plane; fixed points and stability; linear stability analysis; classifications of linear systems; Liapunov functions and nonlinear stability; cycles and oscillations; bifurcations and bifurcation diagrams. Many biological examples will be used through the course to demonstrate the concepts
Lecture notesWill be provided as needed.
LiteratureStrogatz, S. H. (2018). Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering. CRC Press.

Segel, L. A., & Edelstein-Keshet, L. (2013). A Primer in Mathematical Models in Biology (Vol. 129). SIAM.
Prerequisites / NoticePrerequisites: Calculus; a first course in differential equations; basic linear algebra (eigenvalues and eigenvectors). Matlab programming.

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits4 credits
ExaminersM. H. Khammash, A. Gupta
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is only offered in the session after the course unit. Repetition only possible after re-enrolling.
Mode of examinationwritten 120 minutes
Additional information on mode of examinationFinal examination (60% of course grade)
Homework is compulsory continuous performance assessment of this course and will be assigned regularly and will be graded (40% of course grade)
Written aidsNone
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

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Only public learning materials are listed.

Groups

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Restrictions

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Offered in

ProgrammeSectionType
Biotechnology MasterBiomelecular-OrientatedWInformation
Biotechnology MasterSystem-OrientatedWInformation