13 citations · 36 across the 18 of their papers we have counts for
18 papers
Morphogenesis Software based on Epigenetic Code Concept
N. Bessonov, O. Butuzova, A. Minarsky +4
The process of morphogenesis is an evolution of the shape of an organism together with the differentiation of its parts. This process encompasses numerous biological processes rang…
On the multistationarity of chemical reaction networks
Marcelle Kaufman, Christophe Soulé
We present a new conjecture about a necessary condition that a (bio)chemical network has to satisfy for it to exhibit multistationarity. According to a Theorem of Feliu and Wiuf [2…
Theory of Morphogenesis
Andrey Minarsky, Nadya Morozova, Robert Penner +1
A model of morphogenesis is proposed based on seven explicit postulates. The mathematical import and biological significance of the postulates are explored and discussed.
Erratum : Linear projections and successive minima
Christophe Soule
Given a euclidean lattice and a curve in the corresponding projective space, our goal is to relate the height of the curve to the successive minima of the lattice. The proof of suc…
On the arithmetic Chern character
H. Gillet, C. Soule
We consider a short sequence of hermitian vector bundles on some arithmetic variety. Assuming that this sequence is exact on the generic fiber we prove that the alternated sum of t…
Linear projections and successive minima
C. Soule
Using linear projections one gets new inequalities for the successive minima of the lattice of sections of an hermitian line bundle on an arithmetic surface.