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Topic: Mathematical biology


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  Mathematical biology - Wikipedia, the free encyclopedia   (Site not responding. Last check: 2007-10-21)
Mathematical biology or biomathematics is an interdisciplinary field of academic study which aims at modelling natural, biological processes using mathematical techniques and tools.
Applying mathematics to biology has a long history, but only recently has there been an explosion of interest in the field.
Hoppensteadt, Mathematical theories of populations: demographics, genetics and epidemics.
en.wikipedia.org /wiki/Mathematical_biology   (551 words)

  
 MATHEMATICS AND BIOLOGY-Executive Summary
For example, whereas population genetics and evolutionary biology were fields historically concerned largely with inferring process from pattern, the explosion of knowledge and the cellular and molecular levels have permitted complementation of that approach with that in which one begins from knowledge of processes at the micro level.
Mathematical approaches allow the use of genetic data to analyze multi-locus traits, which are so important, for example, to plant breeding, and have made possible a much more quantitative approach to such issues.
Mathematics is the "lens through which to view the universe" and serves to identify the important details of the biological data and suggest the next series of experiments.
www.math.rutgers.edu /~sontag/math-bio-interface/E.html   (2443 words)

  
 Conservation Ecology: The Mathematical Biology of Human Infections   (Site not responding. Last check: 2007-10-21)
Mathematical models of HIV infection have led to the idea that disease progression may be a consequence of virus evolution during individual infections.
Mathematical models show that the main problem of resistance is whether or not resistant virus mutants are present in a patient prior to treatment.
Finally, mathematical models of the complex interaction between replicating infectious agents and the immune system will allow immunologists to employ more quantitative approaches to their data, such as in the measurement of turnover rates and the exact abundances of certain immune cell types.
sunsite.wits.ac.za /eco/vol3/iss2/art12   (6032 words)

  
 Section of Mathematical Biology
Mathematical models have been developed to shed quantitative insight on the complex biochemical interactions encountered in the regulation of the cell cycle.
Mathematical models for the probability of tumor control are used to analyze clinical radiotherapy data and to determine the expected efficacy of new treatment schedules.
Based on this observation, mathematical modeling studies have been initiated to investigate the extent to which the correlation between fibroblast radiosensitivity and clinical complications would be expected to improve as the precision of the assay is sharpened.
odin.mdacc.tmc.edu /biomath/programs/Math_Biology_Report.html   (5922 words)

  
 Warwick Mathematics Institute – Research Areas
Mathematical Biology is an active and growing research area in the Mathematics Institute, and Warwick in general.
Mathematical immunology, epidemiology, ecology and genetics are the main areas in the department, exploiting mathematical techniques from both the deterministic (ODEs, PDEs) and stochastic arenas.
David Rand has a long history of interest mathematical biology, from spatial heterogeneity driven evolution of sex and altruism, pair models in epidemiology and ecology, to the more recent activities in T cell activation in immunology and genetic circuits in clocks.
www.maths.warwick.ac.uk /research/research_areas/math_bio.html   (486 words)

  
 LMS/EPSRC Short Course on Mathematical Biology
Many mathematics departments in the UK now offer courses in Mathematical Biology but typically the syllabi of these courses only cover a small subset of the entire field, reflecting the research interests within each department.
The aim of this course is to provide first and second year mathematics PhD students with an overview of four main research areas in Mathematical Biology.
Following this, four problems in the area of physiological fluid mechanics will be studied in greater detail: (i) pulse wave propagation and flow patterns in the arteries; (ii) collapsible tube models for blood flow in the veins; (iii) flow patterns in the lung; Taylor dispersion; (iv) airway closure; surface-tension-driven instabilities of the lung's liquid lining.
www.ma.man.ac.uk /~mheil/BioMaths   (725 words)

  
 Mathematical Biology Major   (Site not responding. Last check: 2007-10-21)
Mathematical and computational components are vital to many areas of contemporary biological research, such as genomics, molecular modeling, structural biology, ecology, evolutionary biology, and systems analysis of neurobiology, physiology, and metabolism.
Students interested in the interface between biology and mathematics may pursue the Mathematical Biology Major, which is jointly administered by the Biology and Mathematics Departments.
Students who choose this major become immersed in the scientific and intellectual cultures of both biology and mathematics, and the major is sufficiently flexible to allow students to concentrate in a particular area of mathematical biology.
www2.hmc.edu /www_common/biology/academics/biomath.html   (347 words)

  
 Category:Biology - Wikipedia, the free encyclopedia
It is concerned with the characteristics and behaviors of organisms; how individuals come into existence, and how species evolve; and the interactions they have with each other and with their environment.
Biology encompasses a broad spectrum of academic fields that are often considered independent disciplines many of which are listed below as subcategories.
The main article for this category is Biology.
en.wikipedia.org /wiki/Category:Biology   (153 words)

  
 Mathematics in Medicine and Biology by Charles Tier   (Site not responding. Last check: 2007-10-21)
Mathematical models of biological and biomedical systems will be developed and studied.
Mathematical ideas, such as matrices, probability, and difference and differential equations, will be introduced as needed in the context of the specific models.
Yeargers, Shonkwiler, Herod, An Introduction to the Mathematics of Biology, Birkhauser, 1996.
www.math.uic.edu /~tier/M494   (204 words)

  
 Mathematical Biology in Dundee   (Site not responding. Last check: 2007-10-21)
Moving to the present day, the Mathematical Biology and Applied Analysis group at the Department of Mathematics, Dundee University, is directed by Dr. MAJ Chaplain and Dr. PD Smith.
Work is currently being undertaken in modelling problems in developmental biology (cell movement via chemotaxis, haptotaxis, nonlinear diffusion), morphogenesis, plant cell wall growth and expansion, the theory of pain, solid tumour growth and development, angiogenesis (formation of capillary networks), tumour invasion and metastasis, host-parasitoid interactions, wound healing and transport in soil environments.
Mathematical Biology at SCRI is undertaken in the Unit of Integrative Bioscience, lead by Dr JW Crawford, heading a team comprising Drs IM Young, G. Squire, B. Marshall, K. Ritz, J. Liu, B. Griffiths.
www.mcs.dundee.ac.uk /~chaplain/math_biol.html   (372 words)

  
 Amazon.com: Mathematical Models in Biology: Books: Leah Edelstein-Keshet   (Site not responding. Last check: 2007-10-21)
Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology.
A favorite in the mathematical biology community since its first publication in 1988, the book shows how relatively simple mathematics can be applied to a variety of models to draw interesting conclusions.
Leah Edelstein-Keshet is a member of the Mathematics Department at the University of British Columbia and past president of the Society for Mathematical Biology.
www.amazon.com /exec/obidos/tg/detail/-/0898715547?v=glance   (1127 words)

  
 Mathematical Biology at the University of Utah
The Department of Mathematics at the University of Utah has a research group consisting of 5 faculty, 9 postdoctoral fellows, and 24 graduate students, whose work is at the forefront of mathematical biology research and education.
Research in Mathematical Biology is in four broad areas: Biofluids, Ecology and Evolutionary Biology, Neuroscience and Physiology.
Math 5110 is designed to introduce the mathematically apt to some of the basic models and methods of mathematical biology.
www.math.utah.edu /research/mathbio   (268 words)

  
 MA390 Topics in Mathematical Biology
Mathematical Biology is a relatively new area of applied mathematics in which mathematical models are used to study biological phenomena in areas such as ecology, epidemiology, biochemistry, development and, medicine.
Wave phenomena are important in biology and will be considered in the next section of the course with an introduction to the Reaction Diffusion equation for dilute systems.
The last part of the course is on mathematical modelling of pattern formation in the brain.
www.maths.warwick.ac.uk /pydc/pink/pink-MA390.html   (282 words)

  
 Amazon.com: Mathematical Biology II: Books: J.D. Murray   (Site not responding. Last check: 2007-10-21)
In the ten years since the first edition of this book appeared the field of mathematical biology has grown at an astonishing rate and has established itself as a distinct discipline.
Mathematical modelling is now being applied in every major discipline in the biomedical sciences.
The applications of mathematics to biology are now exploding and this book is an excellent example of that.
www.amazon.com /exec/obidos/tg/detail/-/0387952284?v=glance   (1132 words)

  
 Mathematical Biology
The PIMS Thematic Summer in Mathematical Biology consists of 5 workshops held at the University of British Columbia during June-August, 1999.
Mathematical biology is as diverse as are the areas making up the biological and medical sciences.
Consequently, the models and the mathematical techniques used to solve and study the models have been diverse, from simple discrete models using simple automata algorithms and to highly complex models consisting of coupled systems of nonlinear partial differential equations for which no mathematical theories exist.
www.pims.math.ca /science/1999/bio99   (746 words)

  
 Society for Mathematical Biology Home Page
The Bulletin of Mathematical Biology is now published by Springer.
We have added a listing for mathematical biology related courses.
Meeting support is offered by SMB for travel to the SMB annual meeting, travel to other meetings of interest and assistance with hosting a meeting on mathematical biology.
www.smb.org   (140 words)

  
 NSF: MPS Division of Mathematical Sciences
Mathematical science research related to biocomplexity, bioprocessing and bioconversion, bioelectronics and bionetworks, agricultural applications, and marine biotechnology is especially encouraged.
Mathematical merit and novelty, as well as breadth and quality of impact on applications, are important factors.
The purposes of the Collaborations in Mathematical Geosciences (CMG) activity are to enable collaborative research at the intersection of mathematical sciences and geosciences, and to encourage cross-disciplinary education through summer graduate training activities.
www.maa.org /nsf   (6519 words)

  
 genome.gov | Computational and Mathematical Biology Applications to Genomics and Genetics Research
Develop an institutional K01 program award that would provide a critical mass of non-biologists working in the areas of computational and mathematical biology in institutions where there are foci of scientists working in interdisciplinary areas critical to genome research and genome analysis and interpretation.
In fact, many of the current leaders in the field of computational and mathematical biology today are individuals whose doctoral degree is in one of the specialties in biology.
One of the interviewees suggested that the role of mathematics in biology extends beyond the HGP and into other disciplines in biology and thus other components of NIH should also be considering the establishment of interdisciplinary training programs.
www.genome.gov /10001512   (5190 words)

  
 Centre for Mathematical Biology
The Centre is designed to promote research in mathematical biology at the University of Alberta through interdisciplinary research collaboration, a visitor program, a seminar series, a summer school, and postdoctoral and graduate education.
The 4th Annual PIMS-MITACS Mathematical Biology Summer Workshop entitled "Mathematics of Biological Systems" was held May 2-12, 2005.
The focus of the CMB is on research across the disciplines of Mathematics and Biology and on research between departments and institutions.
www.math.ualberta.ca /~mathbio   (160 words)

  
 Introduction to Mathematical Biology (MATH 463)
Mathematical biology is a fast growing and exciting modern application of mathematics which has gained worldwide recognition.
Mathematical topics covered include derivation of relevant PDEs from first principles; reduction of PDEs to ODEs under steady state, quasi-steady state, and traveling wave assumptions; solution techniques for PDEs and concepts of spatial stability and instability.
The former is the second edition of a well written and classic text in mathematical biology by one of the pioneers of this field.
www.math.lsa.umich.edu /~tjacks/Math563_05.html   (392 words)

  
 James D. Murray
Professor Murray was awarded his baccalaureate degree in mathematics and doctorate in applied mathematics at the University of St. Andrews (Scotland) in 1953 and 1956 respectively.
Professor Murray's research interests are in mathematical biology, mainly the application of mathematical modelling in medicine, psychology, ecology, epidemiology and developmental biology.
Prior to coming to Washington, he was Professor of Mathematical Biology and Director of the Centre for Mathematical Biology at the University of Oxford.
www.amath.washington.edu /people/faculty/murray   (415 words)

  
 Research in Mathematical Biology
Mathematical Biology is the application of mathematical modelling to solve problems in biology and physiology.
It is one of the fastest growing research areas in mathematics and is contibuting significantly to our understanding of the biological world and the processes in disease.
A new Centre for Mathematics Applied to the Life Sciences has recently been established to promote interdisciplinary research and scholarship in Mathematical Biology.
www.maths.gla.ac.uk /research/groups/biology   (211 words)

  
 [No title]
Text Books on Mathematical Modeling in Biology Compiled from the Internet by Michael Knorrenschild, modified by Louis Gross, Oct. 1995, May 2000, March 2001, June 2003 Allan, Linda J. (2003) An Introduction to Stochastic Processes with Applications to Biology.
Basic overview of deterministic models and data of population biology and population genetics.
Collection of case studies dealing with mathematical programming in application to forest management, conservation biology and develops this for discrete reaction-diffusion models.
www.tiem.utk.edu /~gross/math.modeling.books.txt.fmt   (1623 words)

  
 [No title]
(11) Iwasa, Y. "Population biology", "Evolutionary ecology", and "Sociobiology".
Mathematical models of the evolution of cooperation: repeated game on lattice population.
(71) Iwasa, Y. Mathematical biology in Japan and the Japanese association for mathematical biology.
bio-math10.biology.kyushu-u.ac.jp /~iwasa/kaisetsu-e.html   (1791 words)

  
 Math Biol Conferences
Computational and Mathematical Population Dynamics, (jointly the 7th Conference on Mathematical Population Dynamics (MPD) and the 3rd Conference on Deterministic and Stochastic Models for Biological Interactions (DeStoBio)), Trento, Italy, 21-25 June, 2004.
Symposium on Mathematical Biology 2004, The 14th Annual Meeting of the Japanese Society for Mathematical Biology, Hiroshima, Japan, 22-25 Sept, 2004.
European Conference for Mathematical and Theoretical Biology, 6th tri-annual conference of the European Society for Mathematical and Theoretical Biology and annual meeting of the Society for Mathematical Biology, Dresden, Germany, 18-22 July 2005.
www.maths.bath.ac.uk /~nfb/confs.html   (326 words)

  
 New Directions Short Course   (Site not responding. Last check: 2007-10-21)
The course in Cellular Physiology will be taught by James Keener, Professor of Mathematics and Adjunct Professor of Bioengineering at University of Utah and author of the award-winning text Mathematical Physiology and Alexander Mogilner, Professor and Chancellor's Fellow at the Department of Mathematics and Center for Genetics and Development at University of California at Davis.
Participants will gain an understanding the key mathematical issues in the topic, some familiarity with the relevant literature, ideas about problems to whose resolution they can contribute, and the basic knowledge necessary to initiate meaningful interdisciplinary collaborations in the field.
The overall goal of the course will be to familiarize the participants with specific mindset and style of the field of the modern mathematical biology, and to enable them to start working in the field on their own.
www.ima.umn.edu /new-directions/NDcourse.html   (829 words)

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