LASP1 (LIM and SH3 protein)

Review on LASP1 (LIM and SH3 protein), with data on DNA, on the protein encoded, and where the gene is implicated

t(11;17)(q23;q12-21) MLL/LASP1

Review on t(11;17)(q23;q12-21) MLL/LASP1, with data on clinics, and the genes involved

t(9;9)(q34;q34)

Review on t(9;9)(q34;q34), with data on clinics, and the genes involved

dic(7;9)(p11-13;p11)

Review on dic(7;9)(p11-13;p11), with data on clinics, and the genes involved

SET (SET translocation (myeloid leukemia-associated))

Review on SET (SET translocation (myeloid leukemia-associated)), with data on DNA, on the protein encoded, and where the gene is implicated

PAX5 (paired box gene 5)

Review on PAX5 (paired box gene 5), with data on DNA, on the protein encoded, and where the gene is implicated

NUP214 (nucleoporin 214kDa)

Review on NUP214 (nucleoporin 214kDa), with data on DNA, on the protein encoded, and where the gene is implicated

t(11;17)(q23;q12-21) MLL/AF17

Review on t(11;17)(q23;q12-21) MLL/AF17, with data on clinics, and the genes involved

A study of blow-ups in the Keller-Segel model of chemotaxis

We study the Keller-Segel model of chemotaxis and develop a composite particle-grid numerical method with adaptive time stepping which allows us to accurately resolve singular solutions. The numerical findings (in two dimensions) are then compared with analytical predictions regarding formation and interaction of singularities obtained via analysis of the stochastic differential equations associated with the Keller-Segel model

On double Hurwitz numbers in genus 0

We study double Hurwitz numbers in genus zero counting the number of covers \CP^1\to\CP^1 with two branching points with a given branching behavior. By the recent result due to Goulden, Jackson and Vakil, these numbers are piecewise polynomials in the multiplicities of the preimages of the branching points. We describe the partition of the parameter space into polynomiality domains, called chambers, and provide an expression for the difference of two such polynomials for two neighboring chambers. Besides, we provide an explicit formula for the polynomial in a certain chamber called totally negative, which enables us to calculate double Hurwitz numbers in any given chamber as the polynomial for the totally negative chamber plus the sum of the differences between the neighboring polynomials along a path connecting the totally negative chamber with the given one.Comment: 17 pages, 3 figure