A Workshop: Dynamical Systems in Biology

应用数学的主要成就是在人口动力学和神经科学方面。人口动态包括人口统计学、遗传学、流行病和生态学。它的研究是为了管理生长，改善健康和生活质量，并了解疾病和信息的传播。神经科学研究我们的大脑，以控制疾病，理解记忆的存储和回忆，设计脑机接口，并开发电子计算的新范例。人口生物学家和神经学家似乎很少交谈。应用数学家为这些独立领域的研究创造了新的领域，包括随机过程；统计与数据挖掘；建模、分析、计算机仿真和可视化。数学对结构进行分类，因此，在一个领域为一个问题导出的模型在另一个完全不同的领域被发现，这并不奇怪。例如，流行病的传播阈值与神经元种群的传播阈值相当，两者都像燃烧中的爆炸极限。数学建模在这些领域之间提供了一个共同的基础。这次会议名为“生物学中的动力系统”，汇集了数学、人口生物学和神经科学领域的工作人员，以及其他数学家、科学家和工程师、新博士和学生，以进一步发展这一共同语言。会议将使与会者的不同背景和兴趣集中在提出和解决共同关心的重要问题上。

Major successes of applied mathematics are in population dynamics and in neuroscience. Population dynamics includes demographics, genetics, epidemics, and ecology. It is studied to manage growth, improve health and quality of life, and understand transmission of disease and information. Neuroscience studies our brain to manage disease, to understand storage and recall of memory, to engineer brain-machine interfaces, and to develop new paradigms for electronic computation. Population biologists and neuroscientists seem rarely talk to each other.Applied mathematicians have created new fields for studies in these separate areas, including random processes; statistics and data mining; and, modeling, analysis, computer simulation and visualization. Mathematics classifies structures, so it is not surprising that a model derived in one area for one problem is discovered in an entirely different area for another. For example, epidemics have thresholds of propagation that are comparable to those in neuron populations, and both are like explosion limits in combustion. Mathematical modeling provides a common ground between these areas. The conference, Dynamical Systems in Biology, brings together workers in mathematical population biology and neuroscience with other mathematicians, scientists and engineers, recent Ph.D.s and students to further develop this common language. The conference will focus participants' diverse backgrounds and interests on posing and addressing important problems of common interest.