{"title":"EM-based algorithms for single particle tracking of Ornstein-Uhlenbeck motion from sCMOS camera data.","authors":"Ye Lin, Sean B Andersson","doi":"10.23919/acc50511.2021.9483034","DOIUrl":"https://doi.org/10.23919/acc50511.2021.9483034","url":null,"abstract":"<p><p>Single particle tracking plays an important role in studying physical and kinetic properties of biomolecules. In this work, we introduce the application of Expectation Maximization (EM) based algorithms for solving localization and parameter estimation problems in SPT using data captured from scientific complementary metal-oxide semiconductor (sCMOS) camera sensors. Two representative methods are considered for generating the filtered and smoothed distributions needed by EM: Sequential Monte Carlo - EM, and Unscented - EM. The SMC method uses particle filtering and particle smoothing to handle general distributions, while the U scheme reduces the computational burden through the use of an unscented Kalman Filter and an unscented Rauch-Tung Striebel Smoother. We also investigate the influence of the number of images in the dataset on the final estimates through intensive simulations as well as the computational efficiency of the two methods.</p>","PeriodicalId":74510,"journal":{"name":"Proceedings of the ... American Control Conference. American Control Conference","volume":"2021 ","pages":"3945-3950"},"PeriodicalIF":0.0,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8411991/pdf/nihms-1711781.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39402493","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Modeling zebrafish geotaxis as a feedback control process.","authors":"Daniel A Burbano-L, Maurizio Porfiri","doi":"10.23919/acc50511.2021.9483149","DOIUrl":"https://doi.org/10.23919/acc50511.2021.9483149","url":null,"abstract":"<p><p>Developing mathematical models of the feedback control process underlying animal behavior is of critical importance to understand their interactions with the environment and emotional responses. For instance, fish geotaxis (the tendency to swim at the bottom of the tank) is known to be a highly sensitive measure of anxiety, but how and why animals tend to display such a complex response is yet to be fully clarified. Leveraging the theory of stochastic differential equations, we develop a data-driven model of geotaxis in the form of a feedback control loop where fish use information about the hydrostatic pressure to dive towards the bottom of the tank. The proposed framework extends open-loop models by incorporating a simple, yet effective, control mechanism to explain geotaxis. We focus on the zebrafish animal model, which is a species of choice in the study of anxiety disorders. We calibrate the model using available experimental data on acute ethanol treatment of adult zebrafish, and demonstrate its effectiveness across a wide range of comparisons between theoretical predictions and empirical observations.</p>","PeriodicalId":74510,"journal":{"name":"Proceedings of the ... American Control Conference. American Control Conference","volume":"2021 ","pages":"660-665"},"PeriodicalIF":0.0,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8522050/pdf/nihms-1746541.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39560687","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Learning from Having Learned: An Environment-adaptive Parking Space Detection Method","authors":"Yi Yang, Sitan Jiang, Lu Zhang, Jianhang Wang","doi":"10.23919/ACC45564.2020.9147934","DOIUrl":"https://doi.org/10.23919/ACC45564.2020.9147934","url":null,"abstract":"Although parking space detection is a classic application in the field of image processing, most of commonly used methods can only guarantee their accuracy of detecting standard parking spaces due to the limitation of environmental diversity. Inspired by the close connection between vehicles and parking spaces in the parking environment, we believe that well-trained vehicle detection method can help improve the environmental adaptability of the parking space detection method. In this paper, we propose an environment-adaptive available parking space detection method. Based on the detection results obtained by vehicle detection and orientation estimation, our method enables the vision-only autonomous vehicle to learn environmental information near parked cars, and to detect available parking spaces accordingly. Results from real-world experiments have shown the functionality of the presented approach.","PeriodicalId":74510,"journal":{"name":"Proceedings of the ... American Control Conference. American Control Conference","volume":"12 1","pages":"4022-4027"},"PeriodicalIF":0.0,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87128159","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Safety-Guaranteed, Accelerated Learning in MDPs with Local Side Information.","authors":"Pranay Thangeda, Melkior Ornik","doi":"10.23919/acc45564.2020.9147372","DOIUrl":"10.23919/acc45564.2020.9147372","url":null,"abstract":"<p><p>In environments with uncertain dynamics, synthesis of optimal control policies mandates exploration. The applicability of classical learning algorithms to real-world problems is often limited by the number of time steps required for learning the environment model. Given some local side information about the differences in transition probabilities of the states, potentially obtained from the agent's onboard sensors, we generalize the idea of indirect sampling for accelerated learning to propose an algorithm that balances between exploration and exploitation. We formalize this idea by introducing the notion of the value of information in the context of a Markov decision process with unknown transition probabilities, as a measure of the expected improvement in the agent's current estimate of transition probabilities by taking a particular action. By exploiting available local side information and maximizing the estimated value of learned information at each time step, we accelerate the learning process and subsequent synthesis of the optimal control policy. Further, we define the notion of agent safety, a vital consideration for physical systems, in the context of our problem. Under certain assumptions, we provide guarantees on the safety of an agent exploring with our algorithm that exploits local side information. We illustrate agent safety and the improvement in learning speed using numerical experiments in the setting of a Mars rover, with data from onboard sensors acting as the local side information.</p>","PeriodicalId":74510,"journal":{"name":"Proceedings of the ... American Control Conference. American Control Conference","volume":"2020 ","pages":"1099-1104"},"PeriodicalIF":0.0,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7676387/pdf/nihms-1643044.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38640130","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Constrained and Sparse Switching Times Optimization via Augmented Lagrangian Proximal Methods","authors":"A. Marchi","doi":"10.23919/ACC45564.2020.9147892","DOIUrl":"https://doi.org/10.23919/ACC45564.2020.9147892","url":null,"abstract":"In this paper we reformulate a switching times optimization problem with non-uniform switching costs and dwell-time constraints via direct multiple shooting, sparsity-inducing regularization and semi-continuous variables. The transformed problem has composite smooth/nonsmooth objective function and smooth constraints. Necessary optimality conditions for such problems are derived, resembling results from smooth optimization. A safeguarded, primal-dual, augmented Lagrangian proximal method is proposed for its numerical solution, and the global convergence toward points satisfying the necessary conditions is detailed. Finally, numerical results demonstrate the efficacy and limitations of the method.","PeriodicalId":74510,"journal":{"name":"Proceedings of the ... American Control Conference. American Control Conference","volume":"82 1","pages":"3633-3638"},"PeriodicalIF":0.0,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88170940","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A time-varying approach to single particle tracking with a nonlinear observation model.","authors":"Boris I Godoy, Ye Lin, Sean B Andersson","doi":"10.23919/acc45564.2020.9147877","DOIUrl":"10.23919/acc45564.2020.9147877","url":null,"abstract":"<p><p>Single Particle Tracking (SPT) is a powerful class of tools for analyzing the dynamics of individual biological macromolecules moving inside living cells. The acquired data is typically in the form of a sequence of camera images that are then post-processed to reveal details about the motion. In this work, we develop a local time-varying estimation algorithm for estimating motion model parameters from the data considering nonlinear observations. Our approach uses several well-known existing tools, namely the Expectation Maximization (EM) algorithm combined with an Unscented Kalman filter (UKF) and an Unscented Rauch-Tung-Striebel smoother (URTSS), and applies them to the time-varying case through a sliding window methodology. Due to the shot noise characteristics of the photon generation process, this model uses a Poisson distribution to capture the measurement noise inherent in imaging. In order to apply our time-varying approach to the UKF, we first need to transform the measurements into a model with additive Gaussian noise. This is carried out using a variance stabilizing transform. Results from simulations show that our approach is successful in tracing time-varying diffusion constants at a range of physically relevant signal levels. We also discuss the initialization for the EM algorithm based on the available data.</p>","PeriodicalId":74510,"journal":{"name":"Proceedings of the ... American Control Conference. American Control Conference","volume":"2020 ","pages":"5151-5156"},"PeriodicalIF":0.0,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8411988/pdf/nihms-1611707.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39385379","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Scarcity of Cellular Resources Decreases the Robustness of Toggle Switches to Noise","authors":"A. György","doi":"10.23919/ACC45564.2020.9147271","DOIUrl":"https://doi.org/10.23919/ACC45564.2020.9147271","url":null,"abstract":"","PeriodicalId":74510,"journal":{"name":"Proceedings of the ... American Control Conference. American Control Conference","volume":"8 9","pages":"4264-4269"},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72618107","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Monte Carlo Simulation of Brownian Motion using a Piezo-Actuated Microscope Stage.","authors":"Nicholas A Vickers, Sean B Andersson","doi":"10.23919/acc.2019.8814397","DOIUrl":"https://doi.org/10.23919/acc.2019.8814397","url":null,"abstract":"<p><p>Single particle tracking is a powerful tool for studying and understanding the motions of biological macromolecules integral to cellular processes. In the past three decades there has been continuous and rapid development of these techniques in both optical microscope design and in algorithms to estimate the statistics and positions of the molecule's trajectory. Although there has been great progress, comparison between different microscope configurations and estimation algorithms has been difficult beyond simulated data. In this paper we explore using a piezo actuated microscope stage to reproduce Brownian motion. Our goal is to use this as a tool to test performance of single particle tracking optical microscopes and estimation algorithms. In this study, Monte Carlo simulations were used to assess the ability of piezo actuated microscope stages for reproducing Brownian motion. Surprisingly, the dynamics of the stage together with configuration of the system allow for preservation of the Brownian motion statistics. Further, feed forward model inverse control allows for low error tracking of Brownian motion trajectories over a wide range of diffusion constants, varying stage response times, and trajectory discrete time steps. These results show great promise in using a piezo actuated microscope stage for testing single particle tracking experimental setups.</p>","PeriodicalId":74510,"journal":{"name":"Proceedings of the ... American Control Conference. American Control Conference","volume":"2019 ","pages":"567-572"},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.23919/acc.2019.8814397","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38247571","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Simone Bruno, M Ali Al-Radhawi, Eduardo D Sontag, Domitilla Del Vecchio
{"title":"Stochastic analysis of genetic feedback controllers to reprogram a pluripotency gene regulatory network.","authors":"Simone Bruno, M Ali Al-Radhawi, Eduardo D Sontag, Domitilla Del Vecchio","doi":"10.23919/acc.2019.8814355","DOIUrl":"https://doi.org/10.23919/acc.2019.8814355","url":null,"abstract":"<p><p>Cellular reprogramming is traditionally accomplished through an open loop (OL) control approach, wherein key transcription factors (TFs) are injected in cells to steer the state of the pluripotency (PL) gene regulatory network (GRN), as encoded by TFs concentrations, to the pluripotent state. Due to the OL nature of this approach, the concentration of TFs cannot be accurately controlled. Recently, a closed loop (CL) feedback control strategy was proposed to overcome this problem with promising theoretical results. However, previous analyses of the controller were based on deterministic models. It is well known that cellular systems are characterized by substantial stochasticity, especially when molecules are in low copy number as it is the case in reprogramming problems wherein the gene copy number is usually one or two. Hence, in this paper, we analyze the Chemical Master Equation (CME) for the reaction model of the PL GRN with and without the feedback controller. We computationally and analytically investigate the performance of the controller in biologically relevant parameter regimes where stochastic effects dictate system dynamics. Our results indicate that the feedback control approach still ensures reprogramming even when both the PL GRN and the controller are stochastic.</p>","PeriodicalId":74510,"journal":{"name":"Proceedings of the ... American Control Conference. American Control Conference","volume":"2019 ","pages":"5089-5096"},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.23919/acc.2019.8814355","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"37682223","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Aditya Jagarapu, Rajveer Mann, Michael J Piovoso, Ryan Zurakowski
{"title":"Positive feedback through inflammation creates bistable behavior in HIV tissue sanctuaries.","authors":"Aditya Jagarapu, Rajveer Mann, Michael J Piovoso, Ryan Zurakowski","doi":"10.23919/acc.2019.8815245","DOIUrl":"https://doi.org/10.23919/acc.2019.8815245","url":null,"abstract":"<p><p>Combination Antiretroviral Therapy (cART) consists of a cocktail of drugs administered to HIV-infected patients that can suppress the amount of HIV in the patient's blood plasma to an undetectable level. Our previous work has suggested that some HIV-infected patients, despite being placed on cART, can still have ongoing viral replication occurring in self-sustaining inflamed lymph node follicle sanctuary sites. Spatial models of the putative sites show that inflammation is a necessary condition for ongoing HIV replication. In this study, we model the hypothesis that ongoing HIV replication may provide a sufficiently strong pro-inflammatory signal to maintain inflammation levels consistent with continued HIV replication. A system of ordinary differential equations integrated with a reactive-diffusion system is used to model the HIV dynamics and the diameter of a lymph node follicle as a function of time and external influence. The estimates of the parameters in our model come from prior data when available. The results of our study show that these dynamics have two stable steady-state solutions, one with low inflammation and no ongoing HIV replication in the site, and one with high inflammation and high levels of ongoing HIV replication in the site. We furthermore show that the system can transition between the two outcomes in response to a transient exogenous addition of pro-inflammatory signaling, consistent with the antigenic stimulus of a secondary infection. The spatial isolation of the sites results in a low viral load in the blood plasma for both conditions.</p>","PeriodicalId":74510,"journal":{"name":"Proceedings of the ... American Control Conference. American Control Conference","volume":"2019 ","pages":"3456-3461"},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.23919/acc.2019.8815245","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"37717852","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}