Mathematical biology : an introduction with Maple and Matlab

Author(s)

Bibliographic Information

Mathematical biology : an introduction with Maple and Matlab

Ronald W. Shonkwiler, James Herod

(Undergraduate texts in mathematics)

Springer, c2009

2nd ed

  • : hbk

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Note

Includes bibliographical references and index

Description and Table of Contents

Description

Biology is a source of fascination for most scientists, whether their training is in the life sciences or not. In particular, there is a special satisfaction in discovering an understanding of biology in the context of another science like mathematics. For- nately there are plenty of interesting problems (and fun) in biology, and virtually all scienti?c disciplines have become the richer for it. For example, two major journals, MathematicalBiosciences andJournalofMathematicalBiology, have tripled in size since their inceptions 20-25 years ago. More recently, the advent of genomics has spawned whole new ?elds of study in thebiosciences,?eldssuchasproteomics,comparativegenomics,genomicmedicine, pharmacogenomics, and structural genomics among them. These new disciplines are as much mathematical as biological. Thevariousscienceshaveagreatdealtogivetooneanother, buttherearestilltoo many fences separating them. In writing this book we have adopted the philosophy that mathematical biology is not merely the intrusion of one science into another, but that it has a unity of its own, in which both biology and mathematics should be equal, complete, and ?ow smoothly into and out of one another. There is a timeliness in calculating a protocol for administering a drug. Likewise, the signi?cance of bones being "sinks" for lead accumulation while bonemeal is being sold as a dietary c- cium supplement adds new meaning to mathematics as alifescience. The dynamics of a compartmentalized system are classical; applications to biology can be novel. Exponential and logistic population growths are standard studies; the delay in the increaseofAIDScasesbehindtheincreaseintheHIV-positivepopulationisprovo- tive.

Table of Contents

Cells, Signals, Growth, and Populations.- Reproduction and the Drive for Survival.- Interactions Between Organisms and Their Environment.- Age-Dependent Population Structures.- Random Movements in Space and Time.- Neurophysiology.- The Biochemistry of Cells.- Biology, Mathematics, and a Mathematical Biology Laboratory.- Systems and Diseases.- The Biological Disposition of Drugs and Inorganic Toxins.- A Biomathematical Approach to HIV and AIDS.- Parasites and Their Diseases.- Cancer: A Disease of the DNA.- Some Mathematical Tools.- Genomics.- Genetics.- Genomics.- Phylogenetics.

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Details

  • NCID
    BA91353889
  • ISBN
    • 9780387709833
  • LCCN
    2009929779
  • Country Code
    ne
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Dordrecht
  • Pages/Volumes
    xiii, 551 p.
  • Size
    25 cm
  • Classification
  • Parent Bibliography ID
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