Book Details

Transport Equations in Biology

Publication year: 2007

ISBN: 978-3-7643-7842-4

Internet Resource: Please Login to download book


The book contains many ex- ples without mathematical analysis.In some other cases complete mathematical proofs are detailed, but the choice has been a compromise between technicality and ease of interpretation of the mathematical result. It is usual in the ?eld to see mathematics as a blackboxwhere to enter specifc models, often at the expense of simplifcations. Here, the idea is di?erent; the mathematical proof should be close to the ‘natural’ structure of the model and refect somehow its meaning in terms of applications. Dealing with frstorder PDEs,onecould think that the senotesarerelyingon the burden of using the method of characteristics and of defning weak solutions.


Subject: Mathematics and Statistics, adaptive dynamics, biology, cell motion, chemotaxis, entropy, hyperbolic equation, partial differential equation, population balance equations, population dynamics, renewal equation, transport equations