1 Presentation

This event should gather pre-doc students and accademic scientists at the interface between biology, mechanics and applied mathematics. We should be concerned with modelling and mathematical analysis at cell’s scale or sub-scale.

We are manly concerned with systemic and mechanic features of cells as dynamic entities in mammals as well as in plants.

The event will be two-fold :

• a summer school (2 weeks)

• a final conference (1 week) during the summer 2024 at Roscoff (most probably).

We are concerned in understanding various features of the cell :

• at cell’s scale : polarisation, internal information transmission, auto-regulation, cell morphogenesis.

• cell motility per se : the coupling between the internal physics of the cell and its environement leading to spontaneous motion.

• cell’s shape organisation : mechanical description of cell’s deformation leading to various phenomenons as migration, relaxation to a steady state, adhesion to the extracellular matrix, etc.

• collective behaviour and external forces : avoiding meso-scale, we would like to show initiation of aggregation and cell clusterring, we could as well consider cell/blood-flow interactions. Tissue level

• genetic trajectories and optimal transport : genetic evolution through division/mutation/selection. Genetic data is a collection of trait snapshots. Optimal transport is a mathematical tool well suited for providing possible trajectories through these snapshots leading to philogenetic trees at cell’s scale.

2 List of possible speakers

2.1 Cell’s scale : polarisation, internal information transmission, auto-regulation, cell morphogenesis.

2.2 Cell motility per se : the coupling between the internal physics of the cell and its environement leading to spontaneous motion

2.3 Collective behaviour and external forces: avoiding meso-scale, we would like to show initiation of aggregation and cell clusterring, we could as well consider cell/blood-flow interactions. Tissue level

2.4 Cell’s shape organisation : mechanical description of cell’s deformation leading to various phenomenons as migration, relaxation to a steady state, adhesion to the extracellular matrix, etc.

2.5 Genetic trajectories and optimal transport : genetic evolution through division/mutation/selection. Genetic data is a collection of trait snapshots. Optimal transport is a mathematical tool well suited for providing possible trajectories through these snapshots leading to philogenetic trees at cell’s scale

3 Schedule

The summer school will be held for two weeks starting from June 17th 2024 at Igesa Trez-Hir (close to Brest), and the corresponding conference should follow from July the first until the fifth.