Estimating a non-homogeneous Gompertz process with jumps as model of tumor dynamics

DOI10.1016/j.csda.2016.10.005zbMath1466.62078OpenAlexW2533096059MaRDI QIDQ1658473

Y. Aharonov

Publication date: 14 August 2018

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2016.10.005

zbMATH Keywords

inferencefirst-passage-timeintermittent therapynon-homogeneous Gompertz diffusion processtherapeutic application

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08)

Related Items (7)

A generalized Gompertz growth model with applications and related birth-death processes ⋮ Inferring time non-homogeneous Ornstein Uhlenbeck type stochastic process ⋮ Parameter least-squares estimation for time-inhomogeneous Ornstein-Uhlenbeck process ⋮ Predictive drug dosage control through a Fokker-Planck observer ⋮ Inference in a Non-Homogeneous Vasicek Type Model ⋮ Predicting the effectiveness of chemotherapy using stochastic ODE models of tumor growth ⋮ Hyperbolastic type-III diffusion process: obtaining from the generalized Weibull diffusion process

Uses Software

• fptdApprox

Cites Work

• Unnamed Item
• More general problems on first-passage times for diffusion processes: a new version of the fptdApprox R package
• Inference on a stochastic two-compartment model in tumor growth
• A stochastic model of cancer growth subject to an intermittent treatment with combined effects: reduction in tumor size and rise in growth rate
• Development of a mathematical model that predicts the outcome of hormone therapy for prostate cancer
• Stochastic Gompertz model of tumour cell growth
• Inferring the effect of therapy on tumors showing stochastic Gompertzian growth
• Estimating and determining the effect of a therapy on tumor dynamics by means of a modified Gompertz diffusion process
• Solving an Inverse First-Passage-Time Problem for Wiener Process Subject to Random Jumps from a Boundary
• Investigating the Distribution of the First-Crossing Area of a Diffusion Process with Jumps Over a Threshold
• Mathematical Modelling of the Response of Breast Cancer to Drug Therapy
• Parameter Estimation in a Gompertzian Stochastic Model for Tumor Growth
• On the Risk of Extinction for a Population Subject to a Random Markov Evolution with Jumps
• Mathematical modelling of prostate cancer growth and its application to hormone therapy

This page was built for publication: Estimating a non-homogeneous Gompertz process with jumps as model of tumor dynamics