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A multilevel approach to cancer growth modeling

机译：癌症生长建模的多层次方法

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Cancer growth models may be divided into macroscopic models, which describe the tumor as a single entity, and microscopic ones, which consider the tumor as a complex system whose behavior emerges from the local dynamics of its basic components, the neoplastic cells. Mesoscopic models (e.g. as based on the Local Interaction Simulation Approach [Delsanto, P.P., Mignogna, R., Scalerandi, M., Schechter, R., 1998. In: Delsanto, P.P. Saenz, A.W. (Eds.), New Perspectives on Problems in Classical and Quantum Physics, vol. 2. Gordon & Breach, New Delhi, p. 5174]), which explicitly consider the behavior of cell clusters and their interactions, may be used instead of the microscopic ones, in order to study the properties of cancer biology that strongly depend on the interactions of small groups of cells at intermediate spatial and temporal scales. All these approaches have been developed independently, which limits their usefulness, since they all include relevant features and information that should be cross-correlated for a deeper understanding of the mechanisms involved. In this contribution we consider multicellular tumor spheroids as biological reference systems and propose an intermediate model to bridge the gap between a macroscopic formulation of tumor growth and a mesoscopic one. Thus we are able to establish, as an important result of our formalism, a direct correspondence between parameters characterizing processes occurring at different scales. In particular, we analyze their dependence on an important limiting factor to tumor growth, i.e. the extra-cellular matrix pressure. Since the macro and meso-models stem from totally different roots (energy conservation and clinical observations vs. cell groups dynamics), their consistency may be used to validate both approaches. It may also be interesting to note that the proposed formalism fits well into a recently proposed conjecture of growth laws universality. (C) 2007 Elsevier Ltd. All rights reserved.
机译：癌症生长模型可以分为宏观模型和微观模型，宏观模型将肿瘤描述为单个实体，微观模型将肿瘤视为一个复杂的系统，其行为来自其基本成分（肿瘤细胞）的局部动力学。介观模型（例如，基于局部相互作用模拟方法[Delsanto，PP，Mignogna，R.，Scalerandi，M.，Schechter，R.，1998。在：Delsanto，PP Saenz，AW（Eds。），关于新观点《古典与量子物理学中的问题》，第2卷，Gordon＆Breach，新德里，第5174页）明确考虑了细胞团簇的行为及其相互作用，可以用来代替微观团簇，以便研究癌症生物学的特性在很大程度上取决于小群细胞在中间时空尺度上的相互作用。所有这些方法都是独立开发的，因此限制了它们的实用性，因为它们都包含相关的功能和信息，应该对它们进行相互关联，以加深对所涉及机制的了解。在这一贡献中，我们将多细胞肿瘤球体视为生物学参考系统，并提出了一个中间模型来弥合宏观的肿瘤生长形式与介观的肿瘤之间的差距。因此，作为形式主义的重要结果，我们能够建立表征不同规模过程的参数之间的直接对应关系。特别地，我们分析了它们对肿瘤生长的重要限制因素的依赖性，即细胞外基质压力。由于宏模型和介观模型源自完全不同的根源（能量守恒和临床观察与细胞群动力学的关系），因此它们的一致性可用于验证两种方法。有趣的是，提出的形式主义很适合最近提出的关于增长法普遍性的猜想。 （C）2007 Elsevier Ltd.保留所有权利。

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