Pathway network analysis and an application to the ODE model of MMP2 activation in the early stage of cancer cell invasion Available to Purchase

Cancer is known as the leading causes of death in the world, particularly in developing countries. Metastasis is believed as factor that make the situation worse. Cancer cell has the ability to invade and metastasize to a distant part of body. The mechanism of cancer cell invasion involving three molecules; MT1-MMP, TIMP2, and MMP2. The interaction of the three molecules activates MMP2 by cutting the MMP2 binding from a specific complex. The MMP2 activation leads to the release of cancer cell from its primary state towards distant part of body. In this paper, we will present the result of recent studies about MMP2 activation from mathematical point of view. We study the MMP2 activation model using law of mass action and conservation. We propose a method based on attachment and detachment rules and conservation law to analyze the ordinary differential equations system of pathway network associated with the MMP2 activation. As the result, we obtain possible way to suppress the spread of cancer cell.