Di Costanzo Ezio, Giacomello Alessandro, Messina Elisa, Natalini Roberto, Pontrelli Giuseppe, Rossi Fabrizio, Smits Robert, Twarogowska Monika
Istituto per le Applicazioni del Calcolo - Consiglio Nazionale delle Ricerche, Rome, Italy.
Department of Molecular Medicine, Pasteur Institute Cenci-Bolognetti Foundation, Sapienza University of Rome, Rome, Italy.
Math Med Biol. 2018 Mar 14;35(1):121-144. doi: 10.1093/imammb/dqw022.
We propose a discrete in continuous mathematical model describing the in vitro growth process of biophsy-derived mammalian cardiac progenitor cells growing as clusters in the form of spheres (Cardiospheres). The approach is hybrid: discrete at cellular scale and continuous at molecular level. In the present model, cells are subject to the self-organizing collective dynamics mechanism and, additionally, they can proliferate and differentiate, also depending on stochastic processes. The two latter processes are triggered and regulated by chemical signals present in the environment. Numerical simulations show the structure and the development of the clustered progenitors and are in a good agreement with the results obtained from in vitro experiments.
我们提出了一个离散于连续的数学模型，用于描述生物物理学衍生的哺乳动物心脏祖细胞以球体（心脏球）形式成簇生长的体外生长过程。该方法是混合的：在细胞尺度上是离散的，在分子水平上是连续的。在当前模型中，细胞受自组织集体动力学机制支配，此外，它们还可以增殖和分化，这也取决于随机过程。后两个过程由环境中存在的化学信号触发和调节。数值模拟显示了成簇祖细胞的结构和发育情况，并且与体外实验获得的结果高度吻合。
