Mathematical Sciences: Spatial Stochastic Models in Biology; May 26-28, 1994; Colorado Springs, Colorado

9312348 Schinazi会议将汇聚一批对将概率模型应用于生物学感兴趣的杰出生物学家和数学家。近年来，在理解一些相互作用的粒子系统(马尔可夫空间随机模型)和传统上用于模拟生态系统的一类微分方程组之间的相互作用方面取得了重大进展。随机模型扩展了传统的确定性生物模型，为概率学家和生物学家提出了新的问题。事实上，在这一公认的数学建模领域获得了新的视角和立足点，这一领域有望取得相当丰硕的成果。一方面，更广泛的观点可能被用来证明生物学家所做的各种模拟是合理的，并为模拟提供新的想法，另一方面，它提出了关于新的随机模型的几个有趣的概率问题。最近在相互作用的粒子系统和数学生物学方面的研究人员之间的合作表明，过去所做的随机生物模型的分析有时可以用现代概率论的观点来澄清。从这个新的视角来看，由数学生物学家和生态学家提出的最初的随机模型除了提出了一些重要的新的生物学见解外，还获得了统一的含义。这次会议是在一个统一的论坛上推进数学生物学、概率论、生态学和流行病学的独特机会。***

9312348 Schinazi The conference proposed here will bring together a group of outstanding biologist and mathematicians who are interested in applying Probability models to Biology. Recently there have been significant advances in understanding the interplay between some interacting particle systems (Markovian spatial stochastic models) and the class of differential equations traditionally used to model ecological systems. The stochastic models extend the traditional deterministic biological models and open new issues for probabilists and biologists alike. Indeed a fresh perspective and foothold has been gained in this well established area of mathematical modelling which promises to quite fruitful. On the one hand the broader view may be used to justify various simulations done by biologist as well as give new ideas for simulations, while on the other hand it raises several interesting probability questions about new stochastic models. Recent collaboration between researchers in interacting particle systems and mathematical biology has shown that analyses of stochastic biological models which have been done in the past can sometimes be clarified using the modern probablilisitic viewpoint. Seen from this new light, the original stochastic models introduced by mathematical biologist and ecologists acquire a unified meaning besides presenting a number of important new biological insights. This conference represents a unique opportunity to advance mathematical biology, probability, ecology, and epidemiology in a unified forum. ***