Despite internal complexity, tumor growth kinetics follow relatively simple laws that can be
expressed as mathematical models. To explore this further, quantitative analysis of the most …

Consider the one-parameter generalizations of the logarithmic and exponential functions
which are obtained from the integration of non-symmetrical hyperboles. These …

A mathematical model for the scheduling of angiogenic inhibitors in combination with a
chemotherapeutic agent is formulated. Conditions are given that allow tumor eradication …

A two-compartment model of cancer cells population dynamics proposed by Gyllenberg and
Webb includes transition rates between proliferating and quiescent cells as non-specified …

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 …

Socio-economic related properties of a city grow faster than a linear relationship with the
population, in a log–log plot, the so-called superlinear scaling. Conversely, the larger a city …

The distribution and accumulation of nanoparticle dosage in a tumor are important in
evaluating the effectiveness of cancer treatment. The cell survival rate can quantify the …

In the current study we present a Gompertzian model for cell growth as a function of cell
phenotype using six human tumour cell lines (A‐549, NCI‐H596, NCI‐H520, HT‐29, SW …

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 …

Objectives: A class of sigmoid functions designated generalized von Bertalanffy,
Gompertzian and generalized Logistic has been used to fit tumour growth data. Various …