25 citations · 64 across the 9 of their papers we have counts for
9 papers
Mathematical model of brain tumour growth with drug resistance
José Trobia, Kun Tian, Antonio Marcos Batista +9
Brain tumours are masses of abnormal cells that can grow in an uncontrolled way in the brain. There are different types of malignant brain tumours. Gliomas are malignant brain tumo…
Effects of drug resistance in the tumour-immune system with chemotherapy treatment
José Trobia, Enrique C Gabrick, Evandro G Seifert +10
Cancer is a term used to refer to a large set of diseases. The cancerous cells grow and divide and, as a result, they form tumours that grow in size. The immune system recognise th…
The role of dose-density in combination cancer chemotherapy
Álvaro G. López, Kelly C. Iarosz, Antonio M. Batista +3
A multicompartment mathematical model is presented with the goal of studying the role of dose-dense protocols in the context of combination cancer chemotherapy. Dose-dense protocol…
Nonlinear cancer chemotherapy: modelling the Norton-Simon hypothesis
Álvaro G. López, Kelly C. Iarosz, Antonio M. Batista +3
A fundamental model of tumor growth in the presence of cytotoxic chemotherapeutic agents is formulated. The model allows to study the role of the Norton-Simon hypothesis in the con…
Symplectic Maps for Diverted Plasmas
I. L. Caldas, B. F. Bartoloni, D. Ciro +8
Nowadays, divertors are used in the main tokamaks to control the magnetic field and to improve the plasma confinement. In this article, we present analytical symplectic maps descri…
Mathematical Model with Autoregressive Process for Electrocardiogram Signals
Ronaldo M Evaristo, Antonio M Batista, Ricardo L Viana +3
The cardiovascular system is composed of the heart, blood and blood vessels. Regarding the heart, cardiac conditions are determined by the electrocardiogram, that is a noninvasive…
The dose-dense principle in chemotherapy
Alvaro G. Lopez, Kelly C. Iarosz, Antonio M. Batista +3
Chemotherapy is a class of cancer treatment that uses drugs to kill cancer cells. A typical chemotherapeutic protocol consists of several drugs delivered in cycles of three weeks.…
The impact of cancer on the neural activity
Kelly Cristiane Iarosz, Antonio Marcos Batista, Murilo da Silva Baptista +1
We study the impact of the decrease in the neural population on the neuronal firing rate. We propose a cellular automaton model from cancerous growth in a brain tissue and the deat…
Model for tumour growth with treatment by continuous and pulsed chemotherapy
F. S. Borges, K. C. Iarosz, H. P. Ren +5
In this work we investigate a mathematical model describing tumour growth under a treatment by chemotherapy that incorporates time-delay related to the conversion from resting to h…