A Generalized Logistic Function and Its Applications

Rza̧dkowski, Grzegorz; Sobczak, Lidia

doi:10.2478/fman-2020-0007

Cited by 15 publications

(3 citation statements)

References 25 publications

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“…The authors have cited additional references within the Supporting Information. [90][91][92][93][94][95][96][97][98][99][100][101][102][103][104][105][106]…”

Section: Supporting Informationmentioning

confidence: 99%

Trajectories for Lithium‐Ion Battery Cost Production: Can Metal Prices Hamper the Deployment of Lithium‐Ion Batteries?

Orangi,

Manjong,

Clos

et al. 2023

Batteries & Supercaps

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Cost‐savings in lithium‐ion battery production are crucial for promoting widespread adoption of Battery Electric Vehicles and achieving cost‐parity with internal combustion engines. This study presents a comprehensive analysis of projected production costs for lithium‐ion batteries by 2030, focusing on essential metals. It explores the complex interplay of factors, including economies of scale, R&D innovations, market dynamics, and metal price trends. The findings highlight the significant role of R&D innovations and economies of scale in substantial cost reductions by 2030, with projected ranges of 21‐28% and 25‐37%, respectively. However, potential cost escalations due to elevated metal prices, particularly for nickel‐cobalt‐containing chemistries, are also cautioned. To address these challenges, the study proposes a strategic shift towards robust LFP chemistry to mitigate cost pressures and meet predefined cost targets. Moreover, by analyzing medium or low metal price trends, the study reveals the potential for significant cost savings, with exceptional scenarios demonstrating up to a remarkable 65% reduction in costs. Given the broad range of cost likelihoods, the study underscores the importance of vertical integration and international cooperation in managing the essential metals supply chain securely. The research has profound implications for policymakers and industry decision‐makers, providing valuable insights into the lithium‐ion battery industry.

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“…The authors have cited additional references within the Supporting Information. [90][91][92][93][94][95][96][97][98][99][100][101][102][103][104][105][106]…”

Section: Supporting Informationmentioning

confidence: 99%

Trajectories for Lithium‐Ion Battery Cost Production: Can Metal Prices Hamper the Deployment of Lithium‐Ion Batteries?

Orangi,

Manjong,

Clos

et al. 2023

Batteries & Supercaps

View full text Add to dashboard Cite

show abstract

“…The logistic function as a nonlinear growth function has the appropriate shape for describing the current behavior. A logistic function is a familiar S-shaped curve (sigmoid curve) and a popular model for predicting later changes with the below equation [43,44]:…”

Section: Tablementioning

confidence: 99%

Investigation of critical factors effect to predict leakage current and time to failure due to ECM on PCB under humidity

Bahrebar

Ambat

2021

Microelectronics Reliability

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Experiments using the Design of Experiment (DoE) methodology were carried out to investigate the effects of pitch distance (P), temperature (T), voltage (V), and contamination (C) on the leak current measured on surface insulation resistance (SIR) test boards. A 2 4 full factorial design with eight replications was performed, and the response was measured continuously over a 20 hour period for each experiment. Current measured over time exhibited a clear pattern of an initial low and stable current, followed by a transition to a much higher current. Microscopic analysis of the boards indicates that the transition is due to dendrite formation due to electrochemical migration (ECM). The time at the start of this transition phase was identified as the time to failure (TTF) for each experiment. Leakage current (LC) was also calculated as the mean current prior to failure. Analysis of Variance methods were used to model both TTF and LC. Both TTF and LC were found to be significantly affected by P, T, and C. However, the effect of V was found to be significant only for TTF. The general current behavior over the prolonged experimental period and the resulting statistical models give new insight into the failure process related to ECM.

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“…Figure 3: Nash equilibrium predictions of ATP, ADP, and AMP content (mM), and energy charge for static cold storage (SCS) as a Function of Storage Time: a) ATP content (mM): • NE simulation iterations,least-squares fit of NE iterations, ▲ Berendsen et al36 , ◼ Bruinsma et al37 , b) ADP content (mM), c) AMP content (mM), d) Energy charge.…”

mentioning

confidence: 99%

Modeling Energy Depletion in Rat Livers Using Nash Equilibrium Metabolic Pathway Analysis

Lucia

Ferrarese

Uygun

2021

Preprint

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The current gold standard of Static Cold Storage (SCS), which is static cold storage on ice (about +4°C) in a specialized media such as the University of Wisconsin solution (UW), limits storage to few hours for vascular and metabolically active tissues such as the liver and the heart. The liver is arguably the pinnacle of metabolism in human body and therefore metabolic pathway analysis immediately becomes very relevant. In this article, a Nash Equilibrium (NE) approach, which is a first principles approach, is used to model and simulate the static cold storage of a proposed model of liver cells. Simulations of energy depletion in the liver in static cold storage measured by ATP content and energy charge are presented along with comparisons to experimental data. In addition, conversion of Nash Equilibrium iterations to time are described along with an uncertainty analysis for the parameters in the model. Results in this work show that the Nash Equilibrium approach provides a good match to experimental data for energy depletion and that the uncertainty in model parameters is very small with percent variances less than 0.1%.

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A Generalized Logistic Function and Its Applications

Cited by 15 publications

References 25 publications

Trajectories for Lithium‐Ion Battery Cost Production: Can Metal Prices Hamper the Deployment of Lithium‐Ion Batteries?

Trajectories for Lithium‐Ion Battery Cost Production: Can Metal Prices Hamper the Deployment of Lithium‐Ion Batteries?

Investigation of critical factors effect to predict leakage current and time to failure due to ECM on PCB under humidity

Modeling Energy Depletion in Rat Livers Using Nash Equilibrium Metabolic Pathway Analysis

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