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

数学科学：生物学中的空间随机模型；

• 批准号: 9312348
• 负责人: Rinaldo Schinazi
• 金额: $ 1.31万
• 依托单位: University of Colorado at Colorado Springs
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-01-15 至 1994-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9312348&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Spatial; Stochastic; Models

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. ***

小行星9312348 这里提议的会议将汇集一群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。 最近，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微分方程类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，并为概率学家和生物学家提出了新的问题。 事实上，一个新的视角和立足点已经获得了在这个既定的领域的数学建模，这有望相当富有成效。 一方面，更广泛的观点可以用来证明生物学家所做的各种模拟，以及为模拟提供新的想法，而另一方面，它提出了一些有趣的概率问题，新的随机模型。 最近在相互作用粒子系统和数学生物学的研究人员之间的合作表明，在过去已经完成的随机生物模型的分析，有时可以澄清使用现代probablisitic的观点。 从这一新的角度看，数学生物学家和生态学家所提出的原始随机模型除了提供了许多重要的新的生物学见解之外，还获得了统一的含义。 这次会议代表了一个独特的机会，推进数学生物学，概率，生态学和流行病学在一个统一的论坛。 ***