On the Inverse Problem for a Size-Structured Population Model

Details On the Inverse Problem for a Size-Structured Population Model On the Inverse Problem for a Size-Structured Population Model

2006-11-02

arxiv.org/abs/math/0611052v1

Mathematics

Analysis of PDEs

Scientific paper

10.1088/0266-5611/23/3/012

We consider a size-structured model for cell division and address the question of determining the division (birth) rate from the measured stable size distribution of the population. We formulate such question as an inverse problem for an integro-differential equation posed on the half line. We develop firstly a regular dependency theory for the solution in terms of the coefficients and, secondly, a novel regularization technique for tackling this inverse problem which takes into account the specific nature of the equation. Our results rely also on generalized relative entropy estimates and related Poincar\'e inequalities.

Affiliated with

Also associated with

No associations

Rating

On the Inverse Problem for a Size-Structured Population Model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Inverse Problem for a Size-Structured Population Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Inverse Problem for a Size-Structured Population Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-292152