Mathematical methods in biomedical applications - Part I of III
For Part II, see MS-Fr-D-60
For Part III, see MS-Fr-E-60

Date: August 13
Time: 16:00--18:00
Room: 310

(Note: Click title to show the abstract.)

Amigo, Jose (Universidad Miguel Hernandez)
Liang, X. San (Nanjing Inst. of Meteorology)
Small, Michael (Univ. of Western Australia)

Abstract: Mathematics is being successfully applied to a number of important topics in biology and medicine like biofluids, data analysis, drug design and discovery, epidemiology, evolution, genetics, image processing, immunology, medical instrumentation, neuroscience, plant growth, population dynamics (including ecology and microbiology), tumor propagation, virus dynamics, etc. The list of tools include virtually the whole applied mathematics. To cite just the most familiar ones: discrete dynamical systems, ordinary and time-delay differential equations, graph and network theory, integral transforms, numerical and computational mathematics, partial and stochastic differential equations, statistics, probability, and time series analysis. All this research has contributed and is increasingly contributing both to a better understanding of complex biological phenomena and to find practical ways of action. On the wake, new branches of applied mathematics have emerged, e.g., mathematical biology, theoretical biology, and computational neuroscience. But the most important consequence is the improvement in health care and life quality that results from, say, early and better diagnoses, more efficient drugs, plague control, or biotechnological know-how, all of which owe much to the mathematical research.

This being the case, the scope of the minisymposium hereby proposed is to give researchers the opportunity to share their latest applications of mathematical methods to biology and medicine in a multi- and interdisciplinary environment. The topics addressed have been intentionally left open with the objective of having a broader participation. Thus, researchers in computational neuroscience can benefit very much from a network-based approach or time series analysis. Researchers in deterministic models can get further inspiration from stochastic methods or fractional analysis. Moreover, specialists in one particular field can learn new, possibly unexpected applications of their technical skills or hear about other approaches.

With this scope in mind, the organizers of this minisymposium have invited a reduced number of experts who work on applications of mathematics to medicine and biology. Their theoretical backgrounds cover mainly nonlinear dynamics, computational neuroscience, time series analysis, network theory, and partial differential equations, thus a representative blend of current research. Specially important are the actual and potential applications to the biomedical industry of topics such as complex fluids, drug discovery, computational methods and information analysis, all of them included in the minisymposium. For instance, the parametric study of the flow in ventricular catheters for the treatment of hydrocephalus presented in one of the communications, has led new designs which are patent pending.

If approved, this minisymposium will be certainly a great place to create synergies in an area of mathematics which has scientific interest, applications to the biomedical industry, and social impact.

Parametric study of the flow in ventricular catheters
Amigo, Jose (Universidad Miguel Hernandez)
Galarza, Marcelo (Univ. Hospital of Murcia)
Gimenez, Angel (Universidad Miguel Hernandez de Elche)
Valero, Jose (Univ. Miguel Hernandez of Elche)

Self-organization of interacting agents and applications to population dynamics
Escudero, Carlos (Universidad Autonoma de Madrid)

Comparing structural and functional clusters for dynamic network data
Xu, Xiaoke (Dalian Nationalities Univ.)

Cardio-respiratory coordination during sleep
Wessel, Niels (Humboldt-Universität zu Berlin)


Code: Type-Date-Time-Room No.
Type : IL=Invited Lecture, SL=Special Lectures, MS=Minisymposia, IM=Industrial Minisymposia, CP=Contributed Papers, PP=Posters
Date: Mo=Monday, Tu=Tuesday, We=Wednesday, Th=Thursday, Fr=Friday
Time : A=8:30-9:30, B=10:00-11:00, C=11:10-12:10, BC=10:00-12:10, D=13:30-15:30, E=16:00-18:00, F=19:00-20:00, G=12:10-13:30, H=15:30-16:00
Room No.: TBA