Modeling of proliferation of gene mutations in aged structured populations
- Speaker(s)
- Aleksandra Falkiewicz
- Affiliation
- Politechnika Łódzka, doktorantka
- Date
- Jan. 20, 2016, 2:15 p.m.
- Room
- room 4050
- Seminar
- Seminar of Biomathematics and Game Theory Group
One of the basic methods in modeling the proliferation of gene mutations
is by the systems of ordinary differential equations expressing
appropriate conservation principles. Another possibility is to use a
model containing more information about the micro parameters such as the
age population density. This approach is provided by the transport
equations on network. We will prove the existence, find the form of
solution to such problems and explain in what sense the transport model
on a network can be regarded as a generalization of a model of
population balance. Our work answers the question when it is reasonable
to use a macro model for describing cells’ mutations and when the micro
information essentially changes the long time behavior of the system.
(References: A singular limit for an age structured mutation problem, J. Banasiak, A. Falkiewicz, submitted to MATHEMATICAL BIOSCIENCES AND ENGINEERING)
(References: A singular limit for an age structured mutation problem, J. Banasiak, A. Falkiewicz, submitted to MATHEMATICAL BIOSCIENCES AND ENGINEERING)