“…While diffusive waves have been observed in a variety of biological processes, they have also been experimentally probed in a variety of spatial contexts – in quasi-1D tubes ( Cheng and Ferrell, 2018 ; Chang and Ferrell, 2013 ; Nolet et al, 2020 ), in quasi-2D droplets and chambers ( Nolet et al, 2020 ; Afanzar et al, 2020 ), on 2D surfaces in fly eggs ( Vergassola et al, 2018 ), and on substrates of finite thickness ( Parkin and Murray, 2018 ; Pálsson and Cox, 1996 ). And while the phenomenology of diffusive waves has been studied for years, in the context of cell signaling it is less well-understood how the propagation and initiation of such waves are affected by the dimensionalities of the cellular distribution and the diffusive environment – or even how to identify the system dimensionality – as previous modeling work has largely assumed quasi-1D dynamics ( Kessler and Levine, 1993 ; Meyer, 1991 ; Gelens et al, 2014 ; Vergassola et al, 2018 ).…”