6 papers
Theory of adhesion-driven self-organisation in growing tissues
Carles Falcó, Samuel W. S. Johnson, Mohit P. Dalwadi +1
Cell invasion and spatial pattern formation are two distinct manifestations of cellular self-organisation in development, regeneration, and disease. Here, we develop and analyse a…
Cell-cell adhesion cannot sustain extended follower streams in a minimal non-local model of leader-follower migration
Thomas Jun Jewell, Samuel W. S. Johnson, Ruth E. Baker +1
Cell-cell adhesion is widely hypothesised to maintain cohesion within the long streams of follower cells that trail leader subpopulations during collective migration, including in…
Spatial correlations in SIS processes on random regular graphs
Alexander Leibenzon, Samuel W. S. Johnson, Ruth E. Baker +1
In network-based SIS models of infectious disease transmission, infection can only occur between directly connected individuals. This constraint naturally gives rise to spatial cor…
The spontaneous emergence of leaders and followers in a mathematical model of cranial neural crest cell migration
Samuel W. S. Johnson, Ruth E. Baker, Philip K. Maini
Many agent-based mathematical models of cranial neural crest cell (CNCC) migration impose a binary phenotypic partition of cells into either leaders or followers. In such models, t…
An energy-based mathematical model of actin-driven protrusions in eukaryotic chemotaxis
Samuel W. S. Johnson, Maddy Parsons, Ruth E. Baker +1
In eukaryotic cell chemotaxis, cells extend and retract transient actin-driven protrusions at their membrane that facilitate both the detection of external chemical gradients and d…
Optimal control in combination therapy for heterogeneous cell populations with drug synergies
Simon F. Martina-Perez, Samuel W. S. Johnson, Rebecca M. Crossley +3
Cell heterogeneity plays an important role in patient responses to drug treatments. In many cancers, it is associated with poor treatment outcomes. Many modern drug combination the…