November 14, 2018

Math-in-Medicine Study Group
Biomedical Problems Solving Workshop
Proposed Problems
June 22-26, 2009

Problem 1: Constitutive Models for Tumor Classification,
submitted by Dr. Corina Drapaca, Pennsylvania State University

Problem 2: Intramantle pressure gradients favoring hydrocephalus development are generated in the rat brain following disruption of beta-1 integrin-matrix interactions,
submitted by Dr. Miles Johnston, Sunnybrook Health Sciences Centre

Problem 3:
Identifying the mediators of mechanotransduction between bone cells
submitted by Svetlana V. Komarova, McGill University

Reference Materials
a) Vesicular ATP Is the Predominant Cause of Intercellular Calcium Waves
in Astrocytes
David N. Bowser and Baljit S. Khakh, Medical Research Council Laboratory of Molecular Biology, Cambridge

b) Intercellular Calcium Waves in Glia
Andrew Charles, Department of Neurology, UCLA School of Medicine

c) Signal transduction pathways involved in mechanotransduction
in bone cells
Astrid Liedert , Daniela Kaspar, Robert Blakytny, Lutz Claes, Anita Ignatius

d) Slow intercellular Ca2 signaling in wild-type and Cx43-null neonatal mouse cardiac myocytes
Sylvia O. Suadicani,1,3 Monique J. Vink,1 And David C. Spray1,2

e) Living with cracks: Damage and repair in human bone
David Taylor1*, Jan G. Hazenberg1,2 and T. Clive Lee1,2

f) Bone Strength: Current Concepts
Charles Turner, Orthopaedic Research Laboratories and Biomechanics and Biomaterials
Research Center, Indiana University Purdue University

Problem 4: Calcium carbonate formation in the presence of serum protein.
submitted by David C Bassett and Jake E Barralet
Faculty of Dentistry, McGill University, Montreal, Canada.

Reference Materials
a)In Situ Investigation of Complex BaSO4 Fiber Generation in the Presence of Sodium Polyacrylate. 1. Kinetics and Solution Analysis
Tongxin Wang, and Helmut Cölfen

b) In Situ Investigation of Complex BaSO4 Fiber Generation in the Presence of Sodium Polyacrylate. 2. Crystallization Mechanisms
Tongxin Wang, Antje Reinecke, and Helmut Cölfen

c)Formation of Self-Organized Dynamic Structure Patterns of Barium Carbonate Crystals in Polymer-Controlled Crystallization
Tongxin Wang, An-Wu Xu, and Helmut Cölfen

d)Mesocrystals: Inorganic Superstructures Made by Highly Parallel Crystallization and Controlled Alignment
Helmut Cölfen and Markus Antonietti

e)Science 323, 362 (2009); Juan Manuel García-Ruiz, et al.
Morphogenesis of Self-Assembled Nanocrystalline, Materials of Barium Carbonate and Silica

Problem 5: Sodium Flux During Hemodialysis
looking at the sodium concentration gradients during dialysis (both in the blood and in the solution used to remove the sodium).
submitted by Sushrut S. Waikar, MD, MPH , Brigham and Women’s Hospital

Reference Materials
a) Evolving concepts in the quantitative analysis of the determinants of the plasma water sodium concentration and the pathophysiology and treatment of the dysnatremias

I. Kurta and M.K. Nguyen

b) Diffusive-Convective Mass transfer Rates for Solutes Present on Both Sides of a Dialyzer Membrane
J.P. Sternby, A. Nilsson and L.C. Garre

Problem 6: Development of mathematical Models for estimating the Risk of vCJD transmission by Blood and Surgery
submitted by Dr. Mustafa Al- Zoughool & Dr. Tamer Oraby, McLaughlin Center for Population Health Risk Assessment, University of Ottawa, and Dr. Susie El Saadany (Public Healthy Agency of Canada)

Reference Materials
a) Projections of the future course of the primary vCJD epidemic in the UK: inclusion of subclinical infection and the possibility of wider genetic susceptibility
Paul Clarke and Azra C.Ghani

b) Is there the potential for an epidemic of variant Creutzfeldt-Jakob disease via blood transfusion in the UK?
Paul Clarke, Robert G. Will, & Azra C. Ghani

c) The transmission dynamics of BSE and vCJD
Azra C. Ghani, Christl A. Donnelly, Neil M. Ferguson, & Roy M. Anderson


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