Mathematical Modeling of Swimming Soft Microrobots

IIslam S.M. Khalil received his Ph.D. degree in mechatronics engineering from Sabanci University in 2011 and became a postdoctoral research associate with the Robotics and Mechatronics research group and MIRA–Institute for Biomedical Technology and Technical Medicine, University of Twente, The Netherlands. In 2014, he became an assistant professor with the German University in Cairo, Egypt, Department of Mechatronics, where he directed the Medical Micro and Nano Robotics Laboratory. In 2018, he was appointed as associate professor at the same department. In 2019, he became an assistant professor with the University of Twente, Department of Biomechanical Engineering. His research interests include modeling, design, and control of soft microrobots, biologically inspired systems, motion control systems, mechatronics system design, and untethered magnetic micro/nanorobotics with applications to micro/nanomanipulation, magnetic manipulation, and targeted drug delivery. Anke Klingner received the Diploma and Ph.D. degrees in physics from TU Dresden (Germany) and Ulm University (Germany). She is currently an Assistant Professor with the German University in Cairo. For three years she was a researcher and teaching assistant with the University Ulm German. Her research interests include nanotechnology, electrospinning, microfluidic devices, mechanical behavior of polymers, modeling of biologically inspired microrobots, microrobotics, magnetics, fluid dynamics, and characterization of microrobotic systems. Sarthak Misra joined the University of Twente in 2009. He is a Professor in the Department of Biomechanical Engineering within the Faculty of Engineering Technology. He directs the Surgical Robotics Laboratory, and is affiliated with MIRA - Institute for Biomedical Technology and Technical Medicine. He is also affiliated with the Department of Biomedical Engineering, University of Groningen and University Medical Center Groningen. Sarthak obtained his doctoral degree in the Department of Mechanical Engineering at the Johns Hopkins University, Baltimore, USA. Prior to commencing his studies at Johns Hopkins, he worked for three years as a dynamics and controls analyst at MacDonald Dettwiler and Associates on the International Space Station Program. Sarthak received his Master of Engineering degree in Mechanical Engineering from McGill University, Montreal, Canada. He is the recipient of the European Research Council (ERC) Consolidator, Starting and Proof-of-Concept grants, Netherlands Organization for Scientific Research (NWO) VENI and VIDI awards, Link Foundation fellowship, McGill Major fellowship, and NASA Space Flight Awareness award. He is the co-chair of the IEEE Robotics and Automation Society Technical Committee on Surgical Robotics, and area co-chair of the IFAC Technical Committee on Biological and Medical Systems. Sarthak’s broad research interests are primarily in the area of applied mechanics at both macro and micro scales. He is interested in the modeling and control of electro-mechanical systems with applications to medical robotics.

1. Introduction

Part I Fundamentals of the Theory of Elasticity2. Review of Classical Mechanics3. Two-Dimensional Deformations

Part II Fundamentals of Electromagnetics4. Electrostatic and Magnetostatic Fields5. Magnetic forces and materials

Part III Fundamentals of Fluid Mechanics6. Viscous fluids7. Flow with small Reynolds numbers

Part IV Soft Microrobotic Systems8. Resistive-Force Theory9. Modelling of Internally Actuated Soft Microrobots10. Modelling of Externally Actuated Rigid and Soft Microrobots

Part V AppendixesA: Review of Vector calculusB: Units Appendix C: Material Constants