Metastases Growth Patterns in vivo—A Unique Test Case of a Metastatic Colorectal Cancer Patient
Frontiers in Applied Mathematics and Statistics, 2019 Colorectal cancer (CRC) is one of the most common causes of cancer-related mortality worldwide. Most cases of deaths result from metastases, assumed to be shed, in many cases, before disease detection.
Gili Hochman +4 more
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Nonlinear models to describe height and diameter of sugarcane RB92579 variety
Revista Ciência Agronômica, 2020 Brazil is the world’s largest sugarcane producer (Saccharum spp.), followed by India and China. In 2019, Brazil produced 642.7 million tons of sugarcane, having collected 1.44 billion and 983.52 million dollars from sugar and ethanol exports ...
Sérgio Alberto Jane +3 more
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Pricing Pandemic Bonds under Hull–White & Stochastic Logistic Growth Model
Risks, 2023 Pandemic bonds can be used as an effective tool to mitigate the economic losses that governments face during pandemics and transfer them to the global capital market.
Vajira Manathunga, Linmiao Deng
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Halo-shaped bifurcation curves in ecological systems
Electronic Journal of Differential Equations, 2014 We examine the structure of positive steady state solutions for a diffusive population model with logistic growth and negative density dependent emigration on the boundary. In particular, this class of nonlinear boundary conditions depends on both the
Jerome Goddard II, Ratnasingham Shivaji
doaj
Mathematical Modeling and Simulation of Logistic Growth
Applied SciencesWe propose a reproducible pipeline of work consisting of the time-driven simulation of discrete logistic growth based on the corresponding master equation, focusing on demographic variation under a carrying capacity limit.
Camilla Pelagalli +2 more
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Estimation of the parameters of a stochastic logistic growth model [PDF]
, 2013 We consider a stochastic logistic growth model involving both birth and death rates in the drift and diffusion coefficients for which extinction eventually occurs almost surely.
Campillo, Fabien +2 more
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Extended logistic growth model for heterogeneous populations [PDF]
Journal of Theoretical Biology, 2017 AbstractCell proliferation is the most important cellular-level mechanism responsible for regulating cell population dynamics in living tissues. Modern experimental procedures show that the proliferation rates of individual cells can vary significantly within the same cell line.
Jin, Wang +2 more
openaire +3 more sources
Density-Dependence as a Size-Independent Regulatory Mechanism
, 2005 The growth function of populations is central in biomathematics. The main dogma is the existence of density dependence mechanisms, which can be modelled with distinct functional forms that depend on the size of the population.
Allee +42 more
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Mathematical Model of \u3cem\u3eChlorella minutissima\u3c/em\u3e UTEX2341 Growth and Lipid Production Under Photoheterotrophic Fermentation Conditions [PDF]
, 2011 To reduce the cost of algal biomass production, mathematical model was developed for the first time to describe microalgae growth, lipid production and glycerin consumption under photoheterotrophic conditions based on logistic, Luedeking–Piret and ...
Hristova, Krassimira R. +5 more
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Non-linear density dependence in time series is not evidence of non-logistic growth
, 2008 Time series of population density are often used to seek deviations from logistic regulation by testing for a non-linear decline in per capita growth rate with density.
Doncaster, C. Patrick
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