stochastic modelling
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Author(s):  
Yashaswini Kunjali Ajeeth Kumar ◽  
Adithya Kishore Saxena

In the present state of health and wellness, mental illness is always deemed less importance compared to other forms of physical illness. In reality, mental illness causes serious multi-dimensional adverse effect to the subject with respect to personal life, social life, as well as financial stability. In the area of mental illness, bipolar disorder is one of the most prominent type which can be triggered by any external stimulation to the subject suffering from this illness. There diagnosis as well as treatment process of bipolar disorder is very much different from other form of illness where the first step of impediment is the correct diagnosis itself. According to the standard body, there are classification of discrete forms of bipolar disorder viz. type-I, type-II, and cyclothymic. Which is characterized by specific mood associated with depression and mania. However, there is no study associated with mixed-mood episode detection which is characterized by combination of various symptoms of bipolar disorder in random, unpredictable, and uncertain manner. Hence, the model contributes to obtain granular information with dynamics of mood transition. The simulated outcome of the proposed system in MATLAB shows that resulting model is capable enough for detection of mixed mood episode precisely


2021 ◽  
Author(s):  
Daniele Da Re ◽  
Wim Van Bortel ◽  
Friederike Reuss ◽  
Ruth Muller ◽  
Sebastien Boyer ◽  
...  

Mosquito species belonging to the genus Aedes have attracted the interest of scientists and public health officers for their invasive species traits and efficient capacity of transmitting viruses affecting humans. Some of these species were brought outside their native range by human activities such as trade and tourism, and colonised new regions thanks to a unique combination of eco-physiological traits. Considering mosquito physiological and behavioural traits to understand and predict the spatial and temporal population dynamics is thus a crucial step to develop strategies to mitigate the local densities of invasive Aedes populations. Here, we synthesised the life cycle of four invasive Aedes species (Ae. aegypti, Ae. albopictus, Ae. japonicus and Ae. koreicus) in a single multi-scale stochastic modelling framework which we coded in the R package dynamAedes. We designed a stage-based and time-discrete stochastic model driven by temperature, photo-period and inter-specific larval competition that can be applied to three different spatial scales: punctual, local and regional. These spatial scales consider different degrees of spatial complexity and data availability, by accounting for both active and passive dispersal of mosquito species as well as for the heterogeneity of the input temperature data. Our overarching aim was to provide a flexible, open-source and user-friendly tool rooted in the most updated knowledge on species biology which could be applied to the management of invasive Aedes populations as well as for more theoretical ecological inquiries.


2021 ◽  
Vol 5 (2) ◽  
pp. 76-82
Author(s):  
Syed Tahir Hussainy ◽  
Shabeer B

All reliability models consisting of random time factors form stochastic processes. In this paper we recall the definitions of the most common point processes which are used for modelling of repairable systems. Particularly this paper presents stochastic processes as examples of reliability systems for the support of the maintenance related decisions. We consider the simplest one-unit system with a negligible repair or replacement time, i.e., the unit is operating and is repaired or replaced at failure, where the time required for repair and replacement is negligible.When the repair or replacement is completed, the unit becomes as good as new and resumes operation. The stochastic modelling of recoverable systems constitutes an excellent method of supporting maintenance related decision-making processes and enables their more rational use.


2021 ◽  
Vol 1 (2) ◽  
Author(s):  
Dariusz SALA ◽  
Bogusław BIEDA

The purpose of the paper is to present the results of the stochastic modelling with uncertaintyperformed with the use of Monte Carlo (MC) simulation with 10,000 cycles and a confidence interval of95 %, as recommended. Analysed REEs were fitted by lognormal distributions by using the Crystal Ball®(CB) spreadsheet-based software after defining the geometric mean value (μg) and the standard deviation(σg), automatically calculated (matches) the lower, as well as, upper boundaries of lognormal distribution.The number of replications of a simulation affects the quality of the results. The principal output reportprovided by CB and presented in this study consists of the graphical representation in the form of thefrequency chart, percentiles summary, and statistics summary. Additional CB options provide a sensitivityanalysis with tornado diagrams. The data that was used for MC simulation of the LCI model includesavailable and published data concerning associated with the REEs. This paper discusses the results andshow that the adopted approach is applicable for any REEs used in the LCI studies under uncertainty. Theresults obtained from this study can be used as the first step in performing a full LCA analysis and helppractitioners as well as decision-makers in the environmental engineering and management.


2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Shidong Song ◽  
Alexander F. Mason ◽  
Richard A. J. Post ◽  
Marco De Corato ◽  
Rafael Mestre ◽  
...  

AbstractRandom fluctuations are inherent to all complex molecular systems. Although nature has evolved mechanisms to control stochastic events to achieve the desired biological output, reproducing this in synthetic systems represents a significant challenge. Here we present an artificial platform that enables us to exploit stochasticity to direct motile behavior. We found that enzymes, when confined to the fluidic polymer membrane of a core-shell coacervate, were distributed stochastically in time and space. This resulted in a transient, asymmetric configuration of propulsive units, which imparted motility to such coacervates in presence of substrate. This mechanism was confirmed by stochastic modelling and simulations in silico. Furthermore, we showed that a deeper understanding of the mechanism of stochasticity could be utilized to modulate the motion output. Conceptually, this work represents a leap in design philosophy in the construction of synthetic systems with life-like behaviors.


2021 ◽  
pp. 411-432
Author(s):  
Anindya Ghosh ◽  
Bapi Saha ◽  
Prithwiraj Mal
Keyword(s):  

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