scholarly journals Mathematical modeling and identification of surface vessel model parameters

Author(s):  
Khac Tung Nguyen ◽  
S.M. Vlasov ◽  
A.V. Skobeleva
Author(s):  
Yaswanth Siramdasu ◽  
Farbod Fahimi

Sliding mode controller for trajectory tracking of a surface vessel is designed based on a 3DOF dynamic model. The model has six unknown parameters. For parameter identification, four special test scenarios are defined to isolate and identify one of the six parameters at a time. The identification tests are performed on a robotic boat which has an onboard PC104 computer and a navigation sensor providing vessel’s dynamic states in real-time. The data from experiments are used to determine the model parameters. A sliding mode controller is designed based on the identified model, and is implemented and tested on a real robotic boat. The experiments show the excellent performance of the controller.


2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Pan Tang ◽  
Daqing Xu ◽  
Qing Dai ◽  
Tingting Huang

In this paper we established a mathematical model for national fitness in China. Based on a questionnaire and data of the General Administration of Sport of China and the National Bureau of Statistics of China, the dynamics for three classes of people are expressed by a system of three-dimensional ordinary equations. Model parameters are estimated from the data. This study indicated that national fitness put out by the Chinese government is reasonable. By finding the key parameter, the best measure to promote national fitness is put forward. In order to increase the number of people who frequently participate in sport exercise in a short period of time, if only one measure can be chosen, guiding people who never take part in physical exercise will be the best measure.


Author(s):  
Л.С. Ибрагимова ◽  
L.S. Ibragimova

The usage of a non-autonomous discrete model (Ricker model) for describing the dynamics of a biological population is considered. It is shown that in case of periodic changes in parameters, the model can be reduced into equivalent autonomous system. The problems of determining the model parameters in a situation where these parameters depend on time are discussed. As an application, the problem of mathematical modeling of the dynamics of the number of families of the natural population of the Burzyan wild-hive honeybee living on the territory of the Republic of Bashkortostan is considered. The results convincingly demonstrate the fact that the dynamics of the Burzyan Wild-Hive Honeybee is significantly influenced by a combination of natural factors. For example the sum of the precipitation in February is particularly significant here (in particular, the increase in precipitation affects the number of bees negatively) and the temperature values in March, April and June.


2017 ◽  
Vol 18 (1) ◽  
pp. 127 ◽  
Author(s):  
Marcia De Fatima Brondani ◽  
Airam Teresa Zago Romcy Sausen ◽  
Paulo Sérgio Sausen ◽  
Manuel Osório Binelo

In this paper, a Simulated Annealing (SA) algorithm is proposed for the Battery model parametrization, which is used for the mathematical modeling of the Lithium Ion Polymer (LiPo) batteries lifetime. Experimental data obtained by a testbed were used for model parametrization and validation. The proposed SA algorithm is compared to the traditional parametrization methodology that consists in the visual analysis of discharge curves, and from the results obtained, it is possible to see the model efficacy in batteries lifetime prediction, and the proposed SA algorithm efficiency in the parameters estimation.


Blood ◽  
2009 ◽  
Vol 114 (22) ◽  
pp. 506-506 ◽  
Author(s):  
Andrew Stein ◽  
Thea Kalebic ◽  
Dean Bottino

Abstract Abstract 506 Background: In a majority of chronic myeloid leukemia patients treatment with imatinib (IM) induces durable hematologic, cytogenetic, and molecular responses, which in turn results in a dramatic improvement of progression-free survival. A new challenge for further optimizing the management of CML is to determine if treatment with TKIs such as IM could eventually cure the patients, particularly those with sustained undetectable disease, by reducing or eliminating the leukemic self-renewing cell (LSC) population thought to drive the disease. Given the challenges in directly assessing LSC burden in patients, we have applied mathematical modeling to molecular response data from patients on IM therapy to infer whether LSC levels can be reduced during IM treatment. Methods: To conduct our study we have utilized 281 patients on the IM arm of the International Randomized Study of Interferon Versus STI571 (IRIS) trial (Drucker et al., NEJM, 2006; 355, 2408). The 281 patients maintained a 90% dose intensity over the course of treatment (up to 7 years) and had a sufficient number of PCR samples above the quantitation limit to support parameter estimation. We have modeled the Bcr-Abl/Bcr transcript ratio time course R(t) as a biexponential (R(t) = Aeαt + Beβt ) and estimated the model parameters for each patient using maximum likelihood methods. The parameter α < 0 describes the rapid initial decline in log10(R) upon treatment start while β describes the shallower slope of the subsequent log10(R) kinetics (figure 1a). Results: nearly every patient response trajectory (93%-263/281) was well-described by the bi-exponential model. The key parameter β, corresponding to the steady-state per-year reduction in log10 transcript levels, ranged from a minimum = -9.2, lower quartile = -1.1, median = -0.6, upper quartile = -0.2, maximum = 10.5 (see figure 1b). Approximately 21% (54/263) of patients had β>0, suggestive of molecular relapse, while 79% (209/263) have β<0, corresponding to continued transcript decline. Discussion: The durable reduction in Bcr-Abl transcripts in the majority of patients has two possible interpretations: either LSCs are depleted at a rate β, or LSCs are not depleted but leukemic progenitor cells in the bone marrow have a median half-life of over one year in many patients. However, leukemic progenitor dynamics appear to occur at a time scale of months (Abe et al, Int J Hematol. 2008; 88, 471); thus a durable reduction in transcript level must correspond to a depletion of LSCs. Our hypothesis that IM induces LSC depletion is also consistent with the observation that 50% of patients maintain undetectable Bcr-Abl transcript levels upon treatment discontinuation (Guastafierro et al, Leukemia Res. 2009; 33, 1079). Conclusions: Mathematical modeling which combines pathophysiologic principles of CML with 7-year molecular response data in individual patients predicts that most patients (∼79%) experience reduction in LSC burden while on sustained IM treatment. In the future, this modeling approach can be used to analyze data from patients who stop IM after achieving CMR in the context of carefully conducted clinical trials, with the goal of assessing (a) the potential impact of IM interruption on LSC levels, particularly in those patients who relapse upon stopping IM and then are re-induced, and (b) whether the probability of achieving cure depends on duration of CMR, the steepness of response prior to achieving CMR (β), and/or additional factors. Disclosures: Stein: Novartis: Employment. Kalebic:Novartis: Employment. Bottino:Novartis: Employment.


Processes ◽  
2019 ◽  
Vol 7 (5) ◽  
pp. 271 ◽  
Author(s):  
Chenghan Chen ◽  
Han Qin

A mathematical modeling of glucose–water separation through a reverse osmosis (RO) membrane was developed to research the membrane’s performance during the mass transfer process. The model was developed by coupling the concentration–polarization (CP) model, which uses one-dimensional flow assumption, with the irreversible thermodynamic Spiegler–Kedem model. A nonlinear parameter estimation technique was used to determine the model parameters Lp (hydraulic permeability constant), σ (reflection coefficient), and Bs (solute transport coefficient). Experimental data were obtained from the treatment of a pre-treated glucose solution using a laboratory-scale RO system, and studies on the validation of the model using experimental results are presented. The calculated results are consistent with the experimental data. The proposed model describes the RO membrane concentration process and deduces the expression of k (mass transfer coefficient in the CP layer). The verification shows that the expression of k well-describes the reverse osmosis mass transfer of a glucose solution.


2018 ◽  
Vol 62 ◽  
pp. 1-16
Author(s):  
Ayuna Barlukova ◽  
Stéphane Honoré ◽  
Florence Hubert

Microtubule-targeted agents (MTAs), widely used in chemotherapy, are molecules that are able to block cancer cell migration and division. Their effect on microtubule (MT) dynamic instability is measured by their influence on observable parameters of MT dynamics such as growth speed, time-based catastrophe frequency, time-based rescue fre- quency, etc. In this paper, we propose a new mathematical model that is able to reproduce MT dynamics with an appropriate estimation of the main observable parameters. Using the experimental data on paclitaxel effect in presence of EB proteins, we fitted param- eters of the model from several drug concentrations. It enable us to understand which non-observable model parameters are able to reproduce the effect of MTAs and thus to highlight a new potential mechanism of action associated with MTAs effect in presence of EB protein.


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