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Syllabus for

Academic year
MVE075 - Morfomatics
 
Owner: TM
5,0 Credits (ECTS 7,5)
Grading: TH - Five, Four, Three, Not passed
Level: C
Department: 11 - MATHEMATICAL SCIENCES


Teaching language: English

Course module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 No Sp
0105 Examination 5,0 c Grading: TH   5,0 c    

In programs

TM Teknisk matematik, Year 2 (elective)
EMMAS MSc PROGR IN ENGINEERING MATHEMATICS, Year 1 (elective)

Examiner:

Bitr professor  Torbjörn Lundh



Eligibility:

For single subject courses within Chalmers programmes the same eligibility requirements apply, as to the programme(s) that the course is part of.

Course specific prerequisites

PDE, complex analysis, programming.

Aim

The main objective of the course is to study certain fundamental biological questions where geometry and dynamics is put into focus. We will present central, and in some cases relatively new, mathematical concepts and tools from a biological viewpoint. The underlying question which will follow us throughout the course is: How can a complex organism be created from a, more or less, uniform egg? We will also discuss different approaches on dynamical modeling. The word morphomatics was coined by Ian Stewart in Warwick in an attempt to describe a not-yet-developed mathematical theory on biological pattern-formation.

Goal

See aim above

Content

We will introduce biological pattern formation problems such as: the morphogenesis problem, the French-flag-problem, BZ-patterning, protein folding, scaling laws, anatomical invariances, wound healing, etc. We will also present some of the current morphogenesis models, such as the gradient method, chemotaxis, reaction-diffusion. Interfoliated with this, we will discuss mathematical concepts which can, or might, be useful for creating new models studying morphogenesis. These mathematical concepts are for example, fractals, conformal mappings, Lindenmeyer-systems, DLA, and free-boundaries. A central part in the course will be the work on your relatively open home assignments, which partly is about programming and simulating, and partly more theoretical.

Organisation

Lectures
Hand-ins

Literature

Life's other secret - the new mathematics of the living world, Ian Stewart (Penguin 1998 or John Wiley & Sons Inc. 1998). We will also use the lecture notes "Morphomatics", and some research papers. In addition to this, we will look at a couple of models presented in Jim Murry's books "Mathematical Biology" I and II, Springer Verlag 2002.

Examination

The examination will be based on the home assignment projects, and an oral examination.


Page manager Published: Thu 03 Nov 2022.