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

Silvia N. Santalla and Silvio C. Ferreira
Phys. Rev. E 98, 022405 – Published 13 August 2018

Abstract

We 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.

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  • Received 11 June 2018

DOI:https://doi.org/10.1103/PhysRevE.98.022405

©2018 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsPhysics of Living Systems

Authors & Affiliations

Silvia N. Santalla1 and Silvio C. Ferreira2,3

  • 1Departamento de Física and Grupo Interdisciplinar de Sistemas Complejos, Universidad Carlos III de Madrid, Leganés, Spain
  • 2Departamento de Física, Universidade Federal de Viçosa, 36570-900, Viçosa, Minas Gerais, Brazil
  • 3National Institute of Science and Technology for Complex Systems, Rio de Janeiro, Brazil

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Issue

Vol. 98, Iss. 2 — August 2018

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