Toward predictive multiscale modeling of vascular tumor growth: computational and experimental oncology for tumor prediction

JT Oden, EABF Lima, RC Almeida, Y Feng… - … Methods in Engineering, 2016 - Springer
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 …

[HTML][HTML] Mechanotransduction in tumor dynamics modeling

B Blanco, H Gomez, J Melchor, R Palma, J Soler… - Physics of Life …, 2023 - Elsevier
Mechanotherapy is a groundbreaking approach to impact carcinogenesis. Cells sense and
respond to mechanical stimuli, translating them into biochemical signals in a process known …

[PDF][PDF] Review of optimization methods for cancer chemotherapy treatment planning

H Sbeity, R Younes - Journal of Computer Science & Systems …, 2015 - researchgate.net
Tumors in humans are believed to be caused by a sequence of genetic abnormality.
Understanding these sequences is important for improving cancer treatments. Biologists …

Control of tumor growth distributions through kinetic methods

L Preziosi, G Toscani, M Zanella - Journal of theoretical biology, 2021 - Elsevier
The mathematical modeling of tumor growth has a long history, and has been
mathematically formulated in several different ways. Here we tackle the problem in the case …

A deterministic and stochastic model for the system dynamics of tumor–immune responses to chemotherapy

X Liu, Q Li, J Pan - Physica A: Statistical Mechanics and its Applications, 2018 - Elsevier
Modern medical studies show that chemotherapy can help most cancer patients, especially
for those diagnosed early, to stabilize their disease conditions from months to years, which …

Uncertainty quantification and control of kinetic models of tumour growth under clinical uncertainties

A Medaglia, G Colelli, L Farina, A Bacila, P Bini… - International Journal of …, 2022 - Elsevier
In this work, we develop a kinetic model of tumour growth taking into account the effects of
clinical uncertainties characterising the tumours' progression. The action of therapeutic …

A pharmacodynamic model for the time course of tumor shrinkage by gemcitabine+ carboplatin in non–small cell lung cancer patients

LS Tham, L Wang, RA Soo, SC Lee, HS Lee… - Clinical Cancer …, 2008 - AACR
Purpose: This tumor response pharmacodynamic model aims to describe primary lesion
shrinkage in non–small cell lung cancer over time and determine if concentration-based …

[HTML][HTML] Long-term time-dependent stochastic modelling of extreme waves

E Vanem - Stochastic Environmental Research and Risk …, 2011 - Springer
This paper presents a literature survey on time-dependent statistical modelling of extreme
waves and sea states. The focus is twofold: on statistical modelling of extreme waves and …

[HTML][HTML] A generalized Gompertz growth model with applications and related birth-death processes

M Asadi, A Di Crescenzo, FA Sajadi, S Spina - Ricerche di Matematica, 2023 - Springer
In this paper, we propose a flexible growth model that constitutes a suitable generalization of
the well-known Gompertz model. We perform an analysis of various features of interest …

Analysis of a growth model inspired by Gompertz and Korf laws, and an analogous birth-death process

A Di Crescenzo, S Spina - Mathematical biosciences, 2016 - Elsevier
We propose a new deterministic growth model which captures certain features of both the
Gompertz and Korf laws. We investigate its main properties, with special attention to the …