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Cancer is the second cause of death in developed countries after cardiovascular diseases. Our work serves in a better understanding of pRb-E2F process, a significant pathway of the cell cycle control and a frequent target of mutational events in the most human cancers. Using a mathematical model, the simulated phenomena that characterize the real system, preserves the logical structure, allowing to...
This paper is devoted to a numerical analysis of the solutions of the equations system describing the dynamics of the concentration of p53 and Mdm2 proteins in their interaction. A detailed study of the solutions was made when the mathematical model parameters deviated from the basal values. Within the numerical experiments, the states of the system, such as threat by the uncontrolled apoptotic death...
Drug binding to its surrounding proteins is known as a resistive factor towards effective drug penetration that reduces the diffusing drug concentration inside the tumour. This drug reduction fails to remove tumour mass completely and becomes one cause of treatment failure and tumour recurrence. Various mathematical models have been developed to calculate bioreductive drug (particularly, tirapazamine)...
Cancer is the second leading cause of death in the United States. It is believed that many people develop cancers in their lifetime but the immune system kills these cells without the need for outside treatments. In cancer progression, however, tumor cells may evade the immune system by a mechanism that is not fully understood. Soluble fibrin (sFn), a marker for disseminated intravascular coagulation,...
Cell growth and cell division are fundamental aspects of cell behavior in all organisms. Recent insights from many model organisms have shed light on the molecular mechanisms that control cell growth and cell division. A significant body of evidence has now been accumulated, showing a direct link between deregulation of components of cell cycle machinery and cancer. Cancer can be described as a genetic...
Heat shock protein, denoted by HSP throughout this paper for the simplicity, is one of the families of proteins which plays an important role to keep the normal activity of a cell. Actually, when a cell is given a stress by heat, metal ion, alcohol and so on, HSP is synthesized a lot to keep the life of a cell from such stress. In this paper, we pay attention to the biochemical reaction of HSP synthesis...
Extra-cellular signal regulated kinase (ERK) signal transduction is an important signaling pathway, involved in a variety of processes in cell and closely related to the occurrences of diverse tumors. This raises the question how these diverse functions are specified and coordinated. In this work, we present an integrated computational model of ERK signal transduction pathway, investigating the regulatory...
A numerical analysis for a mathematical model of the tumor angiogenesis and tumor immune system interaction was performed in this paper. The optimal control was characterized related to chemotherapy treatment administration. The model is expressed in terms of ordinary differential equations and describes the dependency of the tumor size, protein production and vessel density on the effective vessel...
Near infrared (NIR) spectroscopy has been demonstrated as a new means to quantify oxygenation of tissue vasculature, in particular changes in hemoglobin concentrations and oxygen saturation. A novel application such oximetry to monitoring of tumor vascular oxygenation during respiratory interventions will be presented. Our recent results obtained with a one-channel NIR spectrometer observing rat breast...
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