Lecture: Mathematics for Clinical Decision Support

The lecture (LSF) will be taught in English and addresses Master and PhD students in Mathematics or related fields. There is a short movie as a teaser for the lecture.

Progress of the lecture
Date Chapter Chapter Name Online? External Resources
13.10.21 1 Introduction to Clinical Decision Support yes
20.10.21 2 Ordinary Differential Equations yes
20.10.21 3.1 Growth Models yes
27.10.21 3.2 Oscillatory Systems yes
3.11.21 3.3 Epidemic Models yes
3.11.21 3.4 Source Detection for Extrasystoles yes ooECG
3.11.21 3.5 Wolff-Parkinson-White Syndrome yes ooWPW
3.11.21 3.6 Ventricular Assist Devices for Heart Failure yes ooHF
10.11.21 3.7 Decoding Complex Cardiac Arrhythmia no ooAFib
10.11.21 3.8 Simple Tumor Models no tedAngiogenesis
17.11.21 3.9 Acute Myeloid Leukemia no ooAML
17.11.21 3.10 Acute Lymphoblastic Leukemia no
17.11.21 3.11 Polycythaemia Vera no ooPV

The dates specify the day when the asynchronous content is discussed in presence at 9h15 in G02-106 or via zoom. External resources are links to complementary background, in most cases youtube videos of the Open Osmosis (oo) channel.

Technical setup, Mattermost registration, and (virtual) meetings

The content of the lecture will be provided asynchronously via videos and a lecture script on this password-protected page. Exercises and discussion rounds may either be virtual via zoom (as a password please use the abbreviation (mcds) of this lecture) or in presence. Typically, on Wednesday at 9h15 I will open the zoom session with a notebook in the lecture room G02-106, so you can decide yourself which way of participation you prefer. Note that the lecture time slots have been reallocated compared to the lsf entries after discussion at the first meeting to Wednesday, 9h-11h for the lecture and Wednesday, 11h-13h for the exercises and free time for the asynchronous content.

In addition to asynchronous content and regular meetings, there is also a MatterMost group dedicated to this lecture. I advise you to register directly and before the start of the lecture using this link.

Asynchronous Content, Exercises, and Downloads

On this password-protected page

Rechtlicher Hinweis: Die Vorlesungen und Vorlesungsvideos sind nichtöffentliche Dokumente und ausschließlich Teilnehmerinnen und Teilnehmern der Vorlesung nach vorheriger Anmeldung zugänglich. Alle Rechte liegen bei Prof. Dr. Sebastian Sager sowie beim Institut für Mathematische Optimierung. Jede öffentliche oder private Weitergabe oder Verbreitung der Videos, insbesondere das zur Verfügung stellen über YouTube und andere Plattformen, ist ausdrücklich untersagt. Achtung: auch einige Materialien sind urheberrechtlich geschützt und sollen nur für die Vorlesung genutzt, auf keinen Fall weitergegeben werden.

Information

We will use a hybrid or virtual format, with videos of the lectures that can be asynchronously assessed. Discussions and exercises take either place in presence or using zoom.

  • Lecture with 4+2 SWS and 9 ECTS-Credits
  • Time slot: Wed 9:15 - 10:45 for discussions concerning the lecture, via zoom or room G02-106
  • Time slot: Wed 11:15 - 12:45 for practical exercises, room G02-106, via zoom or room G02-106
  • Lecturers and practical exercises
Content

It will survey mathematical concepts for clinical decision support systems and apply them to models of biological/medical problems. We shall also address medical content for non-specialists (mathematicians).

A preliminary table of contents is the following.

  • Modeling
  • CDS Case Studies (most from oncology and cardiology)
  • Simulation
  • Sensitivity Analysis
  • Parameter and State Estimation
  • Identifiability
  • Optimization
  • Optimal Control
  • Experimental Design
  • Dual Control
  • Machine Learning

Practical exercises will complement the lecture.

Requirements

Mathematical basics (Analysis and Linear Algebra) and programming skills.

Module description
The lecture can be included in several curriculae, as listed on the LSF page. In particular, it is a master lecture in the mathematics curriculum and described in the module handbook as a Wahlpflicht module:
  • WPF MA (Module 12, 13, 14)
  • WPF MA; M 1-3 (Module M3D)

A translation of the module description:
  • Goals and competences: The students acquire competences with respect to modeling and algorithmically solving simulation and optimization problems that arise from the modeling of biological and medical topics. The results shall help to support clinical decision making. Examples are automatic classifications of cardiac arrhytmia, efficient strategies for finding a good ablation point, estimating the course of chemotherapy treatment, and a scheduling of treatments for polycythemia vera.
  • Content: In the lecture mathematical techniques are introduced, explained, and applied to concrete examples. This comprehends modeling, simulation, sensitivity analysis, parameter estimation, identifiability, experimental design, optimization, optimal control, dual control, and machine learning. The medical applications are mostly from cardiology and oncology.

The lecture is also open to other master and PhD students of OVGU. However, please note that the lecture is addressed to mathematical master students and assumes a good understanding of mathematical basics.

Questions?

Feel free to pose general questions and let me know if you plan to attend the lecture in our MatterMost channel.

  • currently no upcoming news

...more

Prof. Dr. Sebastian Sager
Head of MathOpt group
at the Institute of Mathematical Optimization
at the Faculty of Mathematics
at the Otto-von-Guericke University Magdeburg

Universitätsplatz 2, 02-224
39106 Magdeburg, Germany

: +49 391 67 58745
:

Susanne Heß

Universitätsplatz 2, 02-201
39106 Magdeburg, Germany

: +49 391 67 58756
:

  • currently no upcoming news

...more

Prof. Dr. Sebastian Sager
Head of MathOpt group
at the Institute of Mathematical Optimization
at the Faculty of Mathematics
at the Otto-von-Guericke University Magdeburg

Universitätsplatz 2, 02-224
39106 Magdeburg, Germany

: +49 391 67 58745
:

Susanne Heß

Universitätsplatz 2, 02-201
39106 Magdeburg, Germany

: +49 391 67 58756
: