Mathematical biology : modeling and analysis

Author(s)

• Friedman, Avner
• Conference Board of the Mathematical Sciences

Bibliographic Information

Mathematical biology : modeling and analysis

Avner Friedman

（Regional conference series in mathematics, no. 127）

Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, c2018

Note

Published with support from the National Science Foundation

"2018 NSF-CBMS Regional Research Conferences in the Mathematical Sciences on "Mathematical Biology: Modeling and Analysis" hosted by Howard University in Washington, DC, May 21-25, 2018"--T.p. verso

"Applied mathematics"--Cover

Includes bibliographical references (p. 95-97) and index

Description and Table of Contents

Description

The fast growing field of mathematical biology addresses biological questions using mathematical models from areas such as dynamical systems, probability, statistics, and discrete mathematics. This book considers models that are described by systems of partial differential equations, and it focuses on modeling, rather than on numerical methods and simulations. The models studied are concerned with population dynamics, cancer, risk of plaque growth associated with high cholesterol, and wound healing. A rich variety of open problems demonstrates the exciting challenges and opportunities for research at the interface of mathematics and biology. This book primarily addresses students and researchers in mathematics who do not necessarily have any background in biology and who may have had little exposure to PDEs.

Table of Contents

Introductory biology Introduction to modeling Models of population dynamics Cancer and the immune system Parameters estimation Mathematical analysis inspired by cancer models Mathematical model of artherosclerosis: Risk of high cholesterol Mathematical analysis inspired by the atherosclerosis model Mathematical models of chronic wounds Mathematical analysis inspired by the chronic wound model Introduction to PDEs Bibliography Index

by "Nielsen BookData"

Details

• NCID: BB26338397
• ISBN:
  • 9781470447151
• LCCN: 2018015203
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: [Providence, R.I.]
• Pages/Volumes: viii, 100 p.
• Size: 26 cm
• Classification:
  • LCC : QH323.5
  • DC23 : 570.1/5118
• Subject Headings:
  • LCSH : Biology -- Mathematical models
• Parent Bibliography ID:
  • BA0000944X