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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
Minimum participants: 5

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

In programs

TM Teknisk matematik, Year 2 (elective)
EMMAS MSc PROGR IN ENGINEERING MATHEMATICS, Year 1 (elective)
TKBIA BIOENGINEERING, Year 4 (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

The course starts with an introduction to developmental biology, and some of the central problems there, which in many cases have a geometrical flavour. 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, Lindenmeyer-systems, and free-boundaries.
We will also spend time studying developmental biology inspired computation, and applications of biologically inspired development.

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
A small project

Literature

On Growth, Form and Computers, Sanjeev Kumar and Peter J. Bentley (eds). Elsevier, Academic Press, 2003.


Complementary litterature:
Principles of Development, L. Wolpert et al, Oxford University Press.
Develpmental Biology, S. Gilbert, Sinauer Associates Inc. Sunderland MA.

Mathematical Biology I and II, J. Murray, Springer, 2003.

Examination

There will be three short home-assignment, and one a little more elaborate, plus a project. The project is to be hand in and distributed to all participants in the course one week before the presentation. On the presentation day you will shortly ( ~ 10 min) present your work, and discuss all the other projects as well. On top of that, there will be a very short individual interview (or oral examination) at the end of that day.The examination will be based on the home assignments the project, and the oral examination.


Page manager Published: Thu 03 Nov 2022.