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We investigate an off-lattice Eden model where the growth of new cells isperformed with a probability dependent on the availability of resources comingexternally towards the growing aggregate. Concentration of nutrients necessaryfor replication is assumed to be proportional to the voids connecting thereplicating cells to the outer region, introducing therefore an nonlocaldependence on the replication rule. Our simulations point out that theKadar-Parisi-Zhang (KPZ) universality class is a transient that can last forlong periods in plentiful environments. For conditions of nutrient scarcity weobserve a crossover from regular KPZ to unstable growth, passing by a transientconsistent with the quenched KPZ class at the pinning transition. Our analysissheds light on results reporting on the universality class of kineticroughening in akin experiments of biological growth.

Eden model with nonlocal growth rules and the kinetic roughening in biological systems