Sponsor: Millipore (Shanghai) Trading Co., Ltd

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Scientific Committee:

Britta Basse, Canterbury University, Christchurch, New Zealand

Dirk Drasdo, University of Warwick, United Kingdom

Andreas Dress, PICB, Shanghai

Graeme Wake, Massey University, Auckland, New Zealand

Introduction

We are pleased to announce this international biomathematics hands-on workshop covering a range of relevant topics from current research in mathematical biology. It will focus on mathematics-based methodologies for the investigation of biological systems from a dominantly systems-theoretical point of view, and it will take participants through all four stages of the modeling process: formulation, solution, interpretation, and decision support.

The course will address concrete applications in fundamental biology (e.g. cell population dynamics and tissue growth, animal and human growth models, unstructured as well as age-, size-, and spatially-structured population models), epidemiology, medicine, agriculture, and environmental studies (mathematical ecology).

The material will be presented in the form of lectures and interactive workshops, supported by computer laboratory work.

The course is designed for advanced graduate students and postdoctoral fellows in mathematics, computer science, bioinformatics, and computational biology. In addition to having a keen interest in the subject matter (the most important prerequisite), students are expected to have a solid background in at least one of these fields and, in addition, some basic knowledge in the other three fields.

In particular, familiarity with (some of) the following mathematical techniques would be useful to participants: ordinary differential equations (ODEs), dynamical systems, partial differential equations (PDEs), discrete methods, stochastic differential equations, integral and differential delay equations, and numerical computation.

As an integral part of the workshop, five distinct applied biomathematics projects will be presented. Workshop participants will then be divided into five teams each concentrating on one project area. Each team is then expected to analyse, discuss, report, and present their findings to the other participants.

Information concerning participation:

The course is free. For students we will help for lodging and meals which charge about 50 RMB per night 25 RMB for meals per day. Do not hesitate to apply for registration and any nationality is welcome. It is a pity that a maximum of 30 students will be accepted because of our hall holding capacity. Applications including a CV and a short outline of the applicant's motivation for participation can be sent to Lisa (sqli@sibs.ac.cn)  with a email title " Application for the biomath course".  It is better for us to get two letters of recommendation (also sent electronically by emails) from references, but it is not  indispensable.  Applications will be assessed by the scientific committee according to the scientific quality of the candidate, the letters, and evidence that the course affords substantial benefit to the candidate's training. We will try to tell you about the application status as soon as possible. If we are slow please be patient or send email to ask.  Hope to see you in Shanghai!!! Anyway If have any question about the application just feel free to contact us!!

Contact information:  

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Program Outline

Idea: 30 graduates split into 5 groups of 6. Each group presents results during the week. One hour each with discussion and feedback.

Project 1: (GCW)

Modelling River Pollution:  Disposal of domestic and Industrial waste. In optimal fashion. (Previous work done on the Thames river in England could be adapted to Chinese rivers.) Methodologies used ODE’s and PDEs.

Project 2.  (BB)

Competing and Invasive Species:  Classical models Diffusion and Fishers equations. Level set methods. Looking at diffusive waves.  Applications to New Zealand spread of weeds.

Project 3 (BB+Dirk)

Cell growth: Size and age structured models.  Individual based modeling (Dirk?).  Applications to tumour cell growth and plankton.

Project 4 (GCW/?)

Epidemic Modelling.  SIR models and diffusive waves. Containing disease outbreaks such as bird flu, SARS, measles etc.  Epidemic waves. BioControls.

Project 5.  (GCW)

Animal and pasture growth. Optimal utilization of pasture. Models of animal growth. Delay models local and distributed.

Introductory references:

Murray, J.D.; Mathematical Biology. Volumes I and II. Springer Verlag 1990.

Edelstein-Keshet, Leah; Mathematical Models in Biology. SIAM. 2005.

Goel, N.S and Richter-Dyn, N.; Stochastic Models in Biology. Academic Press. 1974.

Shigesada, N. and Kawasaki, K.; Biological Invasions: Theory and Practice. Oxford University Press. 1997.

Diekmann, O. and Heesterbeek, J.A.P.; Mathematical Epidemiology of Infectious Diseases: Model Building, Analysis and Interpretation. Wiley, 2000.

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Relevant Publications

1. Cell-growth:

Begg R, Wake GC & Wall DJN “On a functional equation model of transient cell-growth”, IMA Journal of Mathematics in Medicine and Biology, 22, 2005, pp 371-390.

Basse B, Baguley BC, Marshall ES, Wake GC, & Wall DJN) “Modelling the flow of cytometric data obtained from unperturbed human tumour cell lines: Parameter fitting and comparison”, Bulletin of Math Biology, 67, No 4, 2005, 815 -830.

Drasdo D, Coarse graining in simulated cell populations Advances in Complex Systems, Vol. 8, Nos. 2 & 3 (2005) 319–363

Basse B, Baguley BC, Marshall E, Wake GC &Wall DJN) “Modelling cell population growth with applications to cancer therapy in human cell lines”, Prog Biophysics Mol Biol, 85, 2004, pp 353-368.

Basse B, Wake GC Wall DJN, & van-Brunt B). “On a cell-growth model for plankton” Mathematical Medicine and Biology: A Journal of the IMA; 21, 2004, pp 49-61.

Basse B, Baguley BC, Marshall WR, Joseph B, van-Brunt B, Wake GC, & Wall DJN) "Modelling cell death in human tumour cell lines exposed to the anticancer drug paclitaxel", Journal Mathematical Biology, 49, 2004, 329-357.

Basse B, Baguley BC, Marshall ES, Joseph WR, van Brunt B, Wake GC & Wall DJN. “A mathematical model for analysis of the cell cycle in cell lines derived from human tumours”, J Math Biol 2003, 47, pp 295-312.

A J Hall, Wake GC and P W Gandar). "Steady size distributions for cells in one-dimensional plant tissues" Journal of Mathematical Biology. Vol 30. No 2. pp 101-123. 1991.

A J Hall, Wake GC."A functional differential equation arising in modelling of cell growth". J Australian Math. Soc. Series B, Vol 30.424-435,1989.

2. Network evolution:

Drasdo D, Emergence of regulatory networks in simulated evolutionary processes Advances in Complex Systems, Vol. 8, Nos. 2 & 3 (2005) 285–318.

3. Mathematics in Medicine:

Chase, JG, Shaw, GM, Lin, J, Doran, CV, Wake GC, Bloomfield, M, Broughton, B, Hann, C and Lotz, T . “Impact of insulin-stimulated glucose removal saturation on dynamic modelling and control of hyperglycaemia,” Intl Journal of Intelligent Systems Technologies and Applications (IJISTA), 1, Nos ½, 2005, pp 79-94.

Chase JG, Rudge AD, Shaw GM, Wake GC, Lee D, Hudson I and Johnston L. “Modelling and Control of the agitation-sedation cycle for critical care patients” Medical Engineering and Physics J, Vol 26, No 6, 2004; pp 459-471.

Senararatne GG, Keam RB & Sweatman WI, & Wake GC. “Inverse methods for detection of internal objects using microwave technology: with potential for breast screening”, Proceedings of the 5th International Conference on Inverse Problems in Engineering: Theory and Practice, Cambridge, Leeds University Press July 2005, S 1-10.

4. Ecology and Agriculture:

Balakrishnan, E Wake GC & Khan QJA “Analysis of a predator-prey system with predator switching”, Bulletin of Math Biology, 66, 2004, pp 109-123.

K Louie, Wake GC, MG Lambert, A McKay & D Barker "A delay model for the growth of rye-grass-clover mixtures: Formulation and preliminary simulations", Ecological Modelling, 155, 2002, pp31-42.

H Rasmussen, Wake GC & J Donaldson).”Analysis of a class of distributed delay logistic differential equations” Mathematical and Computer Modelling, 2003, 38, pp 123-132.

AB Pleasants, Wake GC & CC Daly, “ Derivation of the probability density function for ultimate muscle pH in slaughtered animals” , ANZIAM J , 45, 2003, 27-34.

Pleasants, A.B., Wake, GC, McCall, D.G., and Watt, S.D. "Modelling pasture mass. through time in a managed grazing system subject to perturbations resulting from complexity in natural biological process", Agriculture Systems 53, 1997, pp 191-208. S J R Woodward & Wake GC "A differential-delay model of pasture accummulation and loss in controlled grazing systems" Math. Biosciences 121: 37 - 60, 1994

4. Epidemiology:

A Korobeinikov & Wake GC. ”Global stability of SIR epidemic models” Applied Mathematics Letters, 15, 2002, pp31-42. Basse, B & Wake GC ” A case study in Applied Mathematical Modelling: Epidemic Waves” in Modelling Case Studies 2001, edited by A. Fitt and E Cumberbatch, Cambridge University Press, September 2001, pp 132-154

2006-12-21 updated