Toward predictive multiscale modeling of vascular tumor growth: computational and experimental oncology for tumor prediction
New directions in medical and biomedical sciences have gradually emerged over recent
years that will change the way diseases are diagnosed and treated and are leading to the …
years that will change the way diseases are diagnosed and treated and are leading to the …
Optimal control for a nonlinear stochastic PDE model of cancer growth
We study an optimal control problem for a stochastic model of tumour growth with drug
application. This model consists of three stochastic hyperbolic equations describing the …
application. This model consists of three stochastic hyperbolic equations describing the …
Analysis and numerical solution of stochastic phase‐field models of tumor growth
Carcinogenesis, as every biological process, is not purely deterministic as all systems are
subject to random perturbations from the environment. In tumor growth models, the values of …
subject to random perturbations from the environment. In tumor growth models, the values of …
Estimating and determining the effect of a therapy on tumor dynamics by means of a modified Gompertz diffusion process
A modified Gompertz diffusion process is considered to model tumor dynamics. The
infinitesimal mean of this process includes non-homogeneous terms describing the effect of …
infinitesimal mean of this process includes non-homogeneous terms describing the effect of …
Inference on an heteroscedastic Gompertz tumor growth model
G Albano, V Giorno, P Román-Román… - Mathematical …, 2020 - Elsevier
We consider a non homogeneous Gompertz diffusion process whose parameters are
modified by generally time-dependent exogenous factors included in the infinitesimal …
modified by generally time-dependent exogenous factors included in the infinitesimal …
Estimating a non-homogeneous Gompertz process with jumps as model of tumor dynamics
A non-homogeneous stochastic model based on a Gompertz-type diffusion process with
jumps is proposed to describe the evolution of a solid tumor subject to an intermittent …
jumps is proposed to describe the evolution of a solid tumor subject to an intermittent …
On the effect of a therapy able to modify both the growth rates in a Gompertz stochastic model
G Albano, V Giorno, P Román-Román… - Mathematical …, 2013 - Elsevier
A Gompertz-type diffusion process characterized by the presence of exogenous factors in
the drift term is considered. Such a process is able to describe the dynamics of populations …
the drift term is considered. Such a process is able to describe the dynamics of populations …
A stochastic model of cancer growth subject to an intermittent treatment with combined effects: Reduction in tumor size and rise in growth rate
A model of cancer growth based on the Gompertz stochastic process with jumps is proposed
to analyze the effect of a therapeutic program that provides intermittent suppression of …
to analyze the effect of a therapeutic program that provides intermittent suppression of …
A stochastic Gompertz model with logarithmic therapy functions: Parameters estimation
R Gutiérrez, R Gutiérrez-Sanchez - Applied Mathematics and …, 2012 - Elsevier
This paper is concerned with the estimation of the parameters of interest in the drift
coefficient of a stochastic Gompertz model with logarithmic therapeutic functions. The …
coefficient of a stochastic Gompertz model with logarithmic therapeutic functions. The …
A stochastic Gompertz model highlighting internal and external therapy function for tumour growth
R Gutiérrez-Sanchez, MC Melchor… - Applied Mathematics …, 2014 - Elsevier
This paper proposes a model of tumour cell growth based on a Gompertz-type
nonhomogeneous stochastic diffusion, whose drift coefficient depends on two functions of …
nonhomogeneous stochastic diffusion, whose drift coefficient depends on two functions of …