ESMTB organizes a monthly online colloquium featuring talks of interest to the members of ESMTB. The colloquia run on the last Friday of every month at 13.00h. 

Access to the online talk is given to those subscribed to the ESMTB mailing list.

We hope you will join us!!

Upcoming colloquia

    • 28 May 2021
    • 13:00 (UTC+02:00)
    • Virtual

    Title: A Mathematical Framework for Modelling the Metastatic Spread of Cancer

    Abstract: Invasion and metastasis are two of the hallmarks of cancer and are intimately connected processes. Invasion, as the name suggests, involves cancer cells spreading out from the main cancerous mass into the surrounding tissue, through production and secretion of matrix degrading enzymes. Metastatic spread is the process whereby invasive cancer cells enter nearby blood vessels (or lymph vessels), are carried around the body in themain circulatory system and then succeed in escaping from the circulatory system at distant secondary sites   where the growth of the cancer starts again. It is this metastatic spread that is responsible for around 90% of deaths from cancer. To shed light on the metastatic process, we present a mathematical modelling framework that captures for the first time the interconnected processes of invasion and metastatic spread of individual cancer cells in a spatially explicit manner—a multigrid, hybrid, individual-based approach. This framework accounts for the spatiotemporal evolution of mesenchymal- and epithelial-like cancer cells, membrane-type-1 matrix metalloproteinase (MT1-MMP) and the diffusible matrix metalloproteinase-2 (MMP-2), and for their interactions with the extracellular matrix. Using computational simulations, we demonstrate that our model captures all the key stepsof the invasion-metastasis cascade, i.e. invasion by both heterogeneous cancer cell clusters and by single mesenchymal-like cancer cells; intravasation of these clusters and single cells both via active mechanisms mediated by matrix-degrading enzymes (MDEs) and via passive shedding; circulation of cancer cell clusters and single cancer cells in the vasculature with the associated risk of cell death and disaggregation of clusters; extravasation of clusters and single cells; and metastatic growth at distant secondary sites in the body.

    About Mark Chaplain:

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    • 25 Jun 2021
    • 13:00 (UTC+02:00)
    • Virtual

    Title: Population dynamics, from qualitative modelling to experimentally validated models

    Abstract: To model population dynamics, structured population equations have been developed and know a long-lasting interest in the mathematical community for more than sixty years. They describe a population dynamics in terms of well-chosen traits, assumed to characterize well the individual behaviour.  More recently, thanks to the huge progress in experimental measurements, the question of estimating the parameters from individual-based or population measurements also attracts a growing interest, since it finally allows to compare model and data, and thus to validate - or invalidate - the "structuring" character of the traits. However, the so-called structuring variable may be quite abstract ("maturity" replacing age), and/or not directly measurable (such as a complex network of proteins), whereas the quantities effectively measured may be linked to the structuring one in an unknown or intricate manner. We can thus formulate a general question: is it possible to estimate the dependence of a population on a given variable, which is not experimentally measurable, by taking advantage of the measurement of the dependence of the population on another - experimentally quantified - variable? In this talk, we give first hints to answer this question, and as a telling example we apply it to the growth and division of bacteria, for which we review three types of models: the timer model / age-structured equation, the sizer model / growth-fragmentation / size-structured equation, and the adder model / "increment of size"-structured equation.

    About Marie Doumic:

    Access to the streaming link is given to members of our mailing list. Everyone can subscribe.

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