CAREER: Enabling Methods for Micro-Cantilever Based Nanotechnology

纳米技术将通过对科学和技术的根本性贡献来彻底改变人类的状况。在原子尺度上控制和操纵物质的能力有着巨大的潜力——尤其是在生物学、材料科学和物理学领域。从过去二十年在原子尺度上探测和操纵物质的目标上取得的非凡成就来看，它的影响已经显而易见。这项技术的潜力从它在量子计算、量子信息、药物发现和具有原子尺度特异性的裁剪材料方面的应用来看是显而易见的。基于微悬臂的原理（例如原子力显微镜）形成了在纳米尺度上研究和操纵物质的主要方法。基于这些原理的设备首次证明了在原子尺度上对物质进行常规询问、控制和操纵的可行性。尽管令人印象深刻的科学已经导致了它们的使用，但要充分挖掘它们的潜力，还需要迎接重大挑战。这项提议旨在利用这一潜力，从而使纳米技术的前景得以实现。根据该提案的目标，PI将利用一个基本思想，即复杂动力学通常表现为动力学定性行为的突然变化，可以用来提供检测环境变化的无与伦比的分辨率。将开发理论和实验工具来理解复杂的动力学和控制和触发突变的参数。这些参数将与被检测的属性相关联。很明显，为了实现在纳米尺度上询问和操纵物质的目标，强大的宽带纳米定位是必要的。目前的方法主要采用临时方法，导致可实现带宽的巨大缺陷，因为它们无法解决压电致动器的非线性行为，耦合效应，定位器动力学对成像的影响以及不确定和多样化环境的多目标问题。PI将开发一个强大的宽带纳米定位范例，重点是纳米成像。这一范例将被用于实现最新的原子力显微镜。微悬臂力传感器提供了一种独特的特异性，可以揭示各种分子之间的生物亲和力。基于这一特征，有各种利用微悬臂进行药物发现的组合策略。有几个相关目标属于资源分配问题的范畴。这些优化问题是非凸的，计算复杂。PI将为控制界的几个小组正在解决的组合资源分配问题提供一个独特而有吸引力的理论方向。这些算法将基于数据压缩界使用的确定性退火方法的中心概念。将着重于在资源上存在代数和动态约束的情况下获得全局最优解。将与分子生物学家合作研究药物发现问题的相关指标。在许多基于微悬臂的策略中，数据以预定的模式存储。例如，纳米阵列将生物测定结果存储在具有良好特征的细胞阵列中，而在IBM的数据存储设备中，数据以预先指定的模式排列的位的形式存储。在数据检索过程中，微悬臂端几何与数据卷积，有可能显著降低空间分辨率。pi将使用他开创的独特方法开发图像恢复方法，利用数据存储方式的模式。这个问题超出了AFM的应用范围，PI将专注于开发一个通用框架，并将其专门用于AFM应用。更广泛的影响：该提案汇集了来自工程、数学、物理和生物学等传统领域的研究人员。它是动态系统与控制理论、控制应用、数值分析和优化理论的融合。所有提议的目标都是面向纳米技术的——成功完成提议的项目将使人们对这些设备有一个很好的理论理解，并转化为巨大的技术和经济收益。拟议研究的实验方面将与庇护研究，生物力纳米科学公司和IBM研究实验室合作完成，苏黎世。这为参与的实验室提供了一个学习不同领域的工具和方法的机会，并为行业提供了扩展。所涉及的研究生将以独特的跨学科方式接受培训，使他们接触到所提到的各种专业知识。他们将接受理论和实验方面的培训，这是提案需要的保证

Nanotechnology is set to revolutionize the human condition through fundamental contribution to scienceand technology. The ability to control and manipulate matter at atomic scales wields an immense potential -especially in areas of biology, material science and physics. Its impact is already evident from the remarkablefeats achieved in the last two decades towards the goals of probing and manipulating matter at atomic scales.The potential of this technology is evident from its proposed use in quantum computing, quantum information,drug discovery and tailoring material with atomic scale specificity. Micro-cantilever based principles, (AtomicForce Microscopy for example) form the main methods by which matter is investigated and manipulated at thenanoscale. Devices based on these principles were the first to demonstrate the feasibility of routine interrogation,control and manipulation of matter at atomic scales. Even though impressive science has resulted with their usesignificant challenges need to be met to tap their full potential. This proposal is geared towards harnessing thispotential thereby enabling the nanotechnology promise to be realized.Under the proposal's goals the PI will exploit a fundamental idea that complex dynamics often manifestthemselves as an abrupt change in the qualitative behavior of the dynamics that can be employed to provideunparalleled resolution in detection of changes in the environment. Theoretical and experimental tools to understandthe complex dynamics and the parameters that control and trigger the abrupt change will be developed.These parameters will be associated with the property being detected.It is evident that robust broadband nanopositioning is a necessity to realize the goal of interrogating andmanipulating matter at the nanoscale. Present methods predominantly employ ad-hoc methods that result inlarge deficits in achievable bandwidth as they fail to address the multi-objective concerns of nonlinear behaviorof piezoelectric actuators, coupling effects, the effects of positioner dynamics on imaging and the uncertain anddiverse environment. The PI will develop a paradigm for robust broadband nanopositioning with emphasis onnano imaging. This paradigm will be utilized in realizing a new state of the art atomic force microscope.The microcantilever force sensor provides for a unique specificity with which bio-affinity between variousmolecules can be unravelled. Based on this feature there are various combinatorial strategies that utilize microcantileversfor drug discovery. Several of the associated objectives fall under the rubric of resource allocationproblems. These optimization problems are non-convex and computationally complex. The PI will develop aunique and attractive theoretical direction for combinatorial resource allocation problems that several groups inthe control community are addressing. The algorithms will be based on the central concepts of the deterministicannealing method used by the data compression community. There will be an emphasis on obtaining globaloptima in the presence of algebraic and dynamic constraints on the resources. Related metrics will be researchedfor the drug discovery problem in collaboration with a molecular biologist.Data in many microcantilever based strategies are stored in predetermined patterns. For example, the nanoarraysstore bio-assays in arrays of cells that are well characterized and in IBM's data storage devices data isstored in the form of bits arranged in a prespecified pattern. During the retrieval of the data the micro-cantilevertip geometry convolves with the data and has the potential to significantly lower the spatial resolution. The PIwill develop methods for image restoration using unique methods that he has pioneered that exploit the patternin the way the data is stored. Such a problem transcends AFM applications and the PI will focus on developinga general framework and specialize it to the AFM applications.Broader Impacts: This proposal brings together researchers from the traditional areas of engineering, mathematics,physics and biology. It is at the confluence of dynamic systems and control theory, control applications,numerical analysis and optimization theory. All of the proposed goals are geared towards nanotechnology -the successful completion of the proposed project will give a good theoretical understanding of the devices andtranslate into huge technological and economic gains. The experimental aspects of the proposed research willbe accomplished in collaboration with Asylum Research, Bioforce Nanosciences Inc. and IBM Research Lab,Zurich. This provides an opportunity for the labs involved to learn the tools and methods of different areas andfor outreach to the industry. The graduate students involved will be trained in a unique interdisciplinary mannerthat exposes them to the diverse set of expertise mentioned. They will be trained both in the theoretical andexperimental aspects as is warranted by the proposal needs.1