Fractal dimension and universality in avascular tumor growth

FL Ribeiro, RV Dos Santos, AS Mata - Physical Review E, 2017 - APS
For years, the comprehension of the tumor growth process has been intriguing scientists.
New research has been constantly required to better understand the complexity of this …

Growth modeling approach with the Verhulst coexistence dynamic properties for regulation purposes

AJ Morales-Erosa, J Reyes-Reyes… - Theory in …, 2023 - Springer
For this research, the properties of the logistic growth model for independent and coexisting
species were used to set definitions for the possible regulation of one or two growth …

Models for Allee effect based on physical principles

RV dos Santos, FL Ribeiro, AS Martinez - Journal of theoretical biology, 2015 - Elsevier
We propose some models of single species with Allee effect based on physical principles. A
method is used to obtain the expression for the per capita growth rate (a macroscopic …

Analytical solution for the long-and short-range every-pair-interactions system

FL Ribeiro, Y Li, S Born, D Rybski - Chaos, Solitons & Fractals, 2024 - Elsevier
Many physical, biological, and social systems exhibit emergent properties arising from their
components' interactions (cells). In this study, we systematically treat every-pair interactions …

[HTML][HTML] An attempt to unify some population growth models from first principles

FL Ribeiro - Revista Brasileira de Ensino de Fisica, 2016 - SciELO Brasil
In this work, some phenomenological growth models based only on the population
information (macroscopic level) are deduced in an intuitive way. These models, for instance …

A non-phenomenological model of competition and cooperation to explain population growth behaviors

FL Ribeiro - Bulletin of mathematical biology, 2015 - Springer
This paper is an extension of a previous work which proposes a non-phenomenological
model of population growth that is based on the interactions among the individuals of a …

Generalized Metropolis dynamics with a generalized master equation: An approach for time-independent and time-dependent Monte Carlo simulations of generalized …

R da Silva, JR Drugowich de Felicio, AS Martinez - Physical Review E …, 2012 - APS
The extension of Boltzmann-Gibbs thermostatistics, proposed by Tsallis, introduces an
additional parameter q to the inverse temperature β. Here, we show that a previously …

[HTML][HTML] A one dimensional model of population growth

FL Ribeiro, KN Ribeiro - Physica A: Statistical Mechanics and its …, 2015 - Elsevier
In this work, a one dimensional population growth model is proposed. The model, based on
the cooperative and competitive individual–individual distance-dependent interaction …

Richards-like two species population dynamics model

F Ribeiro, BCT Cabella, AS Martinez - Theory in biosciences, 2014 - Springer
The two-species population dynamics model is the simplest paradigm of inter-and intra-
species interaction. Here, we present a generalized Lotka–Volterra model with intraspecific …

Analytical solutions of microplastic particles dispersion using a Lotka–Volterra predator–prey model with time-varying intraspecies coefficients

LS Dos Santos, JR Alcarás, LM Da Costa… - Mathematical and …, 2022 - mdpi.com
Discarded plastic is subjected to weather effects from different ecosystems and becomes
microplastic particles. Due to their small size, they have spread across the planet. Their …