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

dc.creatorFerreira, Silvio C.
dc.creatorSantalla, Silvia N.
dc.date2019-04-11T16:48:40Z
dc.date2019-04-11T16:48:40Z
dc.date2018-08
dc.date.accessioned2023-09-27T21:56:54Z
dc.date.available2023-09-27T21:56:54Z
dc.identifier05562813
dc.identifierhttps://doi.org/10.1103/PhysRevE.98.022405
dc.identifierhttp://www.locus.ufv.br/handle/123456789/24495
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8968494
dc.descriptionWe investigate an off-lattice Eden model where the growth of new cells is performed with a probability dependent on the availability of resources coming externally towards the growing aggregate. The concentration of nutrients necessary for replication is assumed to be proportional to the voids connecting the replicating cells to the outer region, introducing therefore a nonlocal dependence on the replication rule. Our simulations point out that the Kadar–Parisi–Zhang (KPZ) universality class is a transient that can last for long periods in plentiful environments. For conditions of nutrient scarcity, we observe a crossover from regular KPZ to unstable growth, passing by a transient consistent with the quenched KPZ class at the pinning transition. Our analysis sheds light on results reporting on the universality class of kinetic roughening in akin experiments of biological growth.
dc.formatpdf
dc.formatapplication/pdf
dc.languageeng
dc.publisherPhysical Review
dc.relationVolume 98, Issue 02, Pages 01- 07, August 2018
dc.rightsOpen Acess
dc.subjectEden model
dc.subjectBiological systems
dc.titleEden model with nonlocal growth rules and kinetic roughening in biological systems
dc.typeArtigo


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