Fwd: 70 year old problem solved :)

Dear Martin, Ivana, Ben,

we just put online this paper on the number of mutants in an exponentially growing population. Cell death is included and mutations can be advantageous, neutral or deleterious. http://arxiv.org/abs/1410=3307v1 I'm very happy about this.

This is the problem set up by Luria and Delbruck and generalized to our setup by Martin, Yoh and Francisca. We completed those results.

Also, Kessler and Levine gave an approximate method and solve the large population small mutation limit. Our solution is for general parameters, but recover their results as limits, in a much simpler and rigorous way.

That's all, these results now can be used in future models.

All the best, Tibor

Tibor ANTAL
Tel: +44 1316-517-672
School of Mathematics, Edinburgh University
http://www.maths.ed.ac.uk/~antal

The University of Edinburgh is a charitable body, registered in Scotland, with registration number SC005336.

tibor announces solution of luria delbrueck