[PDF][PDF] Computational determination of the optimal dose of the cis-platinum to maximize the life time of patients diagnosed with cancer

E Kozłowska, K Puszynski - Mathematica Applicanda, 2019 - bibliotekanauki.pl
In this work, we present the results of our study over the expected lifetime of the patients
diagnosed with relapsed squamous cell lung cancer, which is a subtype of non-small cell …

Mathematical model predicts response to chemotherapy in advanced non-resectable non-small cell lung cancer patients treated with platinum-based doublet

E Kozłowska, R Suwiński, M Giglok… - PLoS Computational …, 2020 - journals.plos.org
We developed a computational platform including machine learning and a mechanistic
mathematical model to find the optimal protocol for administration of platinum-doublet …

Mathematical analysis and simulations involving chemotherapy and surgeryon large human tumours under a suitable cell-kill functional response

DS Rodrigues… - … Biosciences & Engineering, 2012 - aimsciences.org
Dosage and frequency of treatment schedules are important for successful chemotherapy.
However, in this work we argue that cell-kill response and tumoral growth should not be …

Theoretical and computational study of a mathematical model for cancer tumor growth, including chemotherapy

I Lasheras Bujanda - 2023 - repositorio.unican.es
Cancer tumor growth can be studied using mathematical models. In this work, we will focus
on the model proposed by P. Hahnfeldt et al. for the growth of some cancer tumors and on its …

[引用][C] A Control Model for the Growth of Cancer Stem and Non-Stem Cells for the Administration of Doxorubicin

A Fakharzadeh Jahromi, F Bahmani B… - Journal of Advanced …, 2022 - jamm.scu.ac.ir
Cells in all tissues of the body are constantly growing and dividinginto new cells. Abnormal
proliferation of tissues outside the body leads tocancer. In all tissues of the body, a type of …

A mathematical model of breast and ovarian cancer treated with paclitaxel

JC Panetta - Mathematical biosciences, 1997 - Elsevier
A mathematical model that describes the effects of cell-cycle-specific drugs on cancer and
normal tissue is developed. The model takes into account the proliferating cells, which are …

Modelling cell death in human tumour cell lines exposed to the anticancer drug paclitaxel

B Basse, BC Baguley, ES Marshall, WR Joseph… - Journal of Mathematical …, 2004 - Springer
Most anti-cancer drugs in use today exert their effects by inducing a programmed cell death
mechanism. This process, termed apoptosis, is accompanied by degradation of the DNA …

Optimal control in reducing side effects during and after chemotherapy of solid tumors

Z Joorsara, SM Hosseini… - Mathematical Methods in …, 2024 - Wiley Online Library
In this paper, we discuss the effect of optimal chemotherapy doses on solid tumor during
treatment and cancer recurrence after the end of treatment. First, an optimal control problem …

Comparative study of the optimization theory for cancer treatment

H Sbeity, R Younes, S Topsu… - 2011 4th International …, 2011 - ieeexplore.ieee.org
In order to assure hygiene safety for patients, optimal use of drugs is necessary for
controlling the number of clinically observed tumor cells. Based on a mathematical model of …

A new mathematical modeling and sub-optimal chemotherapy of cancer

N Darandis, M Nazari - Journal of Biological Systems, 2021 - World Scientific
The development of more accurate cancer mathematical models leads to present more
realistic treatment protocols, especially in model-based treatment protocol design. Hence, a …