Faculteit  Science and Engineering 
Jaar  2021/22 
Vakcode  WBBY02405 
Vaknaam  Modelling Life 
Niveau(s)  bachelor 
Voertaal  Engels 
Periode  semester I b 
ECTS  5 
Rooster  rooster.rug.nl 
Uitgebreide vaknaam  Modelling Life  
Leerdoelen  At the end of the course, the student is able to: 1. Apply elementary methods from algebra and calculus (e.g., solving equations, operations on vectors and matrices, differentiation and integration) in a biological context, and derive biological insight from the resulting outcomes. 2. Analyse differentialequation models by a variety of techniques, including elementary analytical solution methods, qualitative analysis and numerical simulation. 3. Construct mathematical models to describe basic biological processes, and interpret the quantitative and qualitative behaviour of these models from a biological perspective. 4. Analyse dynamical models of biological systems, based on a study of their associated vector fields, in order to infer equilibrium states and longterm and transient dynamical behaviours. 5. Infer how the stability of equilibrium states and longterm system behaviour is affected by (externally imposed) changes to system parameters 

Omschrijving  This course introduces students to the mathematical modelling of biological systems, and covers model development, analysis and interpretation. In order to deal with variation in prior knowledge, students have an opportunity to identify potential weak spots in their understanding of mathematics, and develop necessary baseline skills in an elearning environment (SOWISO), where students are able to select personalised practice material based on the results of selfevaluation tests. The new material covered in this course introduces mathematical tools to describe and analyse dynamical interactions and feedback mechanisms in a wide variety of biological systems, including generegulation networks, nerve cells, hormonal control mechanism, epidemics of infectious diseases and ecological interactions. On the basis of the textbook Modeling Life – The Mathematics of Biological Systems (Garfinkel et al., 2017), students learn how to develop dynamical models of biological systems and how to determine their dynamical behaviour and equilibrium states. Qualitative (graphical) analysis of the vector field and simulated system trajectories are the main tools for generating biological insight; analytical methods are introduced on a needtoknow basis. Topics covered in this course include: Dynamical modelling and simulation, Equilibrium behaviour, Nonequilibrium dynamics: oscillations and chaos, Linear algebra and Multivariable systems. Students prepare for each topic by reading sections of the book, and are introduced to the new material in a lecture. Next, they develop an active understanding of each topic by working on penandpaper and computer exercises, both individually and in a workinggroup setting. For each topic, one of the workinggroup assignments has to be handed in for evaluation. The course is concluded with a written exam. Modelling Life is a highpace threeweek block course with a fulltime schedule. Following other courses in parallel is not recommended. 

Uren per week  
Onderwijsvorm 
Hoorcollege (LC), Opdracht (ASM), Practisch werk (PRC), Werkcollege (T)
(Traditional lecture 14 hrs, Problemsolving in working groups 30 hrs, Math selfevaluation test 3 hrs, handin excercises 3 hrs, Computer practical 20 hrs, Penandpaper exercises 20 hrs, Self study 47 hrs) 

Toetsvorm 
Opdracht (AST), Schriftelijk tentamen (WE), Tussentoets (IT)
(WE40%, IT30%, AST30%. Students need to obtain at least a 50% score on the online math test and workinggroup assignments. The weighted average of the grades for the online math tests, the workinggroup assignments and the final exam has to be at least 6.0. The partial exam grade for the SOWISO math test remains valid for students who need to retake the course; other partial grades lapse at the end of the academic year.) 

Vaksoort  bachelor  
Coördinator  prof. dr. G.S. van Doorn  
Docent(en)  dr. A. Milias Argeitis ,prof. dr. G.S. van Doorn  
Verplichte literatuur 


Entreevoorwaarden  The course units assumes prior knowledge and skills, acquired from the following other course units and/or degree programmes : Highschool mathematics (equivalent to VWO wiskunde A and/or B) PLEASE NOTE Students from degree programmes other than Biology/Life Science & Technology who would like to participate in this course unit need to be available fulltime during the course. The course is a threeweek block course with a full schedule. It is not possible to follow another course next to this course. Students from the Bachelor's degree programmes Biology and Life Science & Technology take priority over students from other degree programmes when the course has a maximum capacity. 

Opmerkingen  Regular attendance at the working groups is necessary to satisfy the 50% score requirement for the working group handin assignments  
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