143 citations · 921 across the 50 of their papers we have counts for
51 papers
Singularities and growth of higher order discrete equations
Ralph Willox, Takafumi Mase, Alfred Ramani +1
We study the link between the degree growth of integrable birational mappings of order higher than two and their singularity structures. The higher order mappings we use in this st…
Predicting regrowth of low-grade gliomas after radiotherapy
Stephane Plaszczynski, Basile Grammaticos, Johan Pallud +2
Diffuse low grade gliomas are invasive and incurable brain tumours that inevitably transform into higher grade ones. A classical treatment to delay this transition is radiotherapy…
On the singularity structure of a discrete modified-Korteweg-deVries equation
Basil Grammaticos, Thamizharasi Tamizhmani, Ralph Willox
We study the singularities of a modified lattice Korteweg-deVries (KdV) equation and show that it admits three families of singularities, with analogous properties to those found i…
Levy geometric graphs
S. Plaszczynski, G. Nakamura, C. Deroulers +2
We present a new family of graphs with remarkable properties. They are obtained by connecting the points of a random walk when their distance is smaller than a given scale. Their d…
Modeling cooperation and competition in biological communities
F. Meloni, G. Nakamura, B. Grammaticos +2
The far-reaching consequences of ecological interactions in the dynamics of biological communities remain an intriguing subject. For decades, competition has been a cornerstone in…
Radiotherapy Effects on Diffuse Low-Grade Gliomas: Confronting Theory With Clinical Data
Leo Adenis, Stephane Plaszczynski, Basile Grammaticos +2
Diffuse low grade gliomas are slowly growing tumors that always recur after treatment. In this paper, we revisit the modeling of the tumor radius evolution before and after the rad…