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333
Tuberculosis (TB) is the leading cause of death among individuals infected with the
hepatitis B virus (HBV). The study of the joint dynamics of HBV and TB present formidable
mathematical challenges due to the fact that the models of transmission are quite
distinct. We formulate and analyze a deterministic mathematical model which incorporates
of the co-dynamics of hepatitis B and tuberculosis. Two sub-models, namely: HBV-only and
TB-only sub-models...
Tumour immunotherapy is aimed at the stimulation of the otherwise inactive immune system to remove, or at least to restrict, the growth of the original tumour and its metastases. The tumour-immune system interactions involve the stimulation of the immune response by tumour antigens, but also the tumour induced death of lymphocytes. A system of two non-linear ordinary differential equations was used to describe the dynamic process of interaction between the immune system and the tumour. Three different...
While drawing a link between the papers contained in this issue and those present in a previous one (Vol. 2, Issue 3), this introductory article aims at putting in evidence some trends and challenges on cancer modelling, especially related to the development of multiphase and multiscale models.
The paper presents a new system for ECG (ElectroCardioGraphy) signal recognition using different neural classifiers and a binary decision tree to provide one more processing stage to give the final recognition result. As the base classifiers, the three classical neural models, i.e., the MLP (Multi Layer Perceptron), modified TSK (Takagi-Sugeno-Kang) and the SVM (Support Vector Machine), will be applied. The coefficients in ECG signal decomposition using Hermite basis functions and the peak-to-peak...
In this paper we develop and study numerically a model to describe some aspects of sound propagation in the human lung, considered as a deformable and viscoelastic porous medium (the parenchyma) with millions of alveoli filled with air. Transmission of sound through the lung above 1 kHz is known to be highly frequency-dependent. We pursue the key idea that the viscoelastic parenchyma structure is highly heterogeneous on the small scale ε and use two-scale homogenization techniques to derive effective...
Developing a model based digital human meridian system is one of the interesting ways of understanding and improving acupuncture treatment, safety analysis for acupuncture operation, doctor training, or treatment scheme evaluation. In accomplishing this task, how to construct a proper model to describe the behavior of human meridian systems is one of the very important issues. From experiments, it has been found that the hysteresis phenomenon occurs in the relations between stimulation input and...
In this paper, we consider a system of nonlinear delay-differential equations
(DDEs) which models the dynamics of the interaction between chronic myelogenous
leukemia (CML), imatinib, and the anti-leukemia immune response. Because of the
chaotic nature of the dynamics and the sparse nature of experimental data, we
look for ways to use computation to analyze the model without employing direct
numerical simulation. In particular, we develop several tools using
Lyapunov-Krasovskii analysis that allow...
We tackle the numerical simulation of reaction-diffusion equations modeling multi-scale
reaction waves. This type of problems induces peculiar difficulties and potentially large
stiffness which stem from the broad spectrum of temporal scales in the nonlinear chemical
source term as well as from the presence of large spatial gradients in the reactive
fronts, spatially very localized. A new resolution strategy was recently introduced
? that combines...
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