23 papers · ranked by Valyu relevance
Francis Lavergne, Nicolas Marie
This paper deals with a skew-normal model of the relation between a dose d > 0 and a quantitative measure E(d) of an effect of the administered drug. Precisely, E(d) is a measure of the therapeutic response or a measure of a side-effect. Some existing and additional properties of the logistic functions are proved, and…
Grzegorz Rządkowski
The paper deals with the comparison of the Gompertz function and the logistic function. We show that the Gompertz function can be approximated with high accuracy by a sum of three logistic functions (multilogistic function). Two of them are increasing and one is decreasing. We use second-order logistic wavelets to…
Grzegorz Rządkowski, Iwona Głażewska, Katarzyna Sawińska
In the present paper we propose a new approach to investigate the logistic function, commonly used in mathematical models in economics and management. The approach is based on indicating in a given time series, having a logistic trend, some characteristic points corresponding to zeroes of successive derivatives of the…
Alina Malyutina, Jing Tang, Alberto Pessia
Analysis of dose-response data is an important step in many scientific disciplines, including but not limited to pharmacology, toxicology, and epidemiology. The R package drda is designed to facilitate the analysis of dose-response data by implementing efficient and accurate functions with a familiar interface. With…
Ágnes Kovács, Krisztián Papp, József Prechl, Tamás Pfeil
Conventional approaches to the titration of serum antibody binding use mid-point or end-point titers that are in a relative space and are therefore difficult to standardize. Here we propose the use of the thermodynamic titer, which, under appropriate measurement conditions, is a universal measure of the thermodynamic…
Matteo Carandini
Logistic classification is a simple way to make choices based on a set of factors: give each factor a weight, sum them, and use the result to set the log odds of a random draw. This operation is known to describe human and animal choices based on value (economic decisions). There is increasing evidence that it also…
Stefano Pasetto, Isha Harshe, Renee Brady-Nicholls, Robert. A. Gatenby + 1 more
The observed time evolution of a population is well approximated by a logistic function in many research fields, including oncology, ecology, chemistry, demography, economy, linguistics, and artificial neural networks. Initial growth is exponential at a constant rate and capped at a limit size, i.e., the carrying…
Beatriz Bueno-Larraz, José R. Berrendero, Antonio Cuevas
In this work we address the problem of functional logistic regression, relying on the theory of RKHS's. The most common approach in the literature is to directly extend the multiple logistic model, replacing the inner product in R d with the inner product in L 2 [0, 1]. In contrast, we propose to use the inner product…
Elvan Akın, Neslihan Nesliye Pelen, Ismail Uğur Tiryaki, Fusun Yalcin + 1 more
'Fusun Yalcin' 'J. Alberto Conejero'] In this paper, we generalize and compare Gompertz and Logistic dynamic equations in order to describe the growth patterns of bacteria and tumor. First of all, we introduce two types of Gompertz equations, where the first type 4-paramater and 3-parameter Gompertz curves do not…
Humphrey Brydon, Rénette Blignaut, Joachim Jacobs
The latest population estimates released by Statistics South Africa indicate that 25.03% of all deaths in 2017 in South Africa were AIDS-related. Along with these results, it is also reported that 7.06% of the population were living with HIV, with the HIV-prevalence among youth (aged 15-24) at 4.64% for 2017 (STATSSA.…
Manuel Escabias, Ana M. Aguilera, Christian Acal
The functional logit regression model was proposed by Escabias et al. (2004) with the objective of modeling a scalar binary response variable from a functional predictor. The model estimation proposed in that case was performed in a subspace of L 2 (T) of squared integrable functions of finite dimension, generated by a…
Ayman Alzaatreh, Mohammad Aljarrah, Ayanna Almagambetova, Nazgul Zakiyeva + 1 more
'Nazgul Zakiyeva' 'Antonio M. Scarfone'] The traditional linear regression model that assumes normal residuals is applied extensively in engineering and science. However, the normality assumption of the model residuals is often ineffective. This drawback can be overcome by using a generalized normal regression model…
Wang Jin, Esha T Shah, Catherine J Penington, Scott W McCue + 2 more
Scratch assays are used to study how a population of cells re-colonises a vacant region on a two–dimensional substrate after a cell mono-layer is scratched. These experiments are used in many applications including drug design for the treatment of cancer and chronic wounds. To provide insights into the mechanisms that…
Arwa M. Alshangiti, M. Kayid, B. Alarfaj
The purpose of this paper is to provide further study of the Marshall-Olkin log-logistic model that was first described by Gui (Appl Math Sci 7:3947-3961, [8]). This model is both useful and practical in areas such as reliability and life testing. Some statistical and reliability properties of this model are presented…
Lihan Yan, Yongmin Sun, Michael R. Boivin, Paul O. Kwon + 1 more
This paper reviews several common challenges encountered in statistical analyses of epidemiological data for epidemiologists. We focus on the application of linear regression, multivariate logistic regression, and log-linear modeling to epidemiological data. Specific topics include: (a) deletion of outliers, (b)…
William J. Zamora Ramírez, Esteban Bertsch Aguilar, Sebastián Suñer Sánchez, Silvana Pinheiro
- 1. 1. CBio3 Laboratory, School of Chemistry, University of Costa Rica, San Pedro, San José, Costa Rica - 2. 2. Laboratory of Computational Toxicology and Artificial Intelligence (LaToxCIA), Biological Testing Laboratory (LEBi), University of Costa Rica, San Pedro, San José, Costa Rica - 3. 3. Advanced Computing Lab…
Theo Knijnenburg, Gunnar Klau, Francesco Iorio, Mathew Garnett + 3 more
Mining large datasets using machine learning approaches often leads to models that are hard to interpret and not amenable to the generation of hypotheses that can be experimentally tested. Finding ‘actionable knowledge’ is becoming more important, but also more challenging as datasets grow in size and complexity. We…
Markus Kreer, Ayşe Kızılersü, Jake Guscott, Lukas Christopher Schmitz + 1 more
'Lukas Christopher Schmitz' 'A. W. Thomas'] The maximum likelihood estimation of the left-truncated log-logistic distribution with a given truncation point is analyzed in detail from both mathematical and numerical perspectives. These maximum likelihood equations often do not possess a solution, even for small…
Hans Strasburger
The retino-cortical visual pathway is retinotopically organized: Neighborhood relationships on the retina are preserved in the mapping to the cortex. Size relationships in that mapping are also highly regular: The size of a patch in the visual field that maps onto a cortical patch of fixed size, follows, along any…
Resve Saleh, A. K. Ehsanes Saleh
—This paper analyzes a popular loss function used in machine learning called the log-cosh loss function. A number of papers have been published using this loss function but, to date, no statistical analysis has been presented in the literature. In this paper, we present the distribution function from which the log-cosh…
Chenxi Sui, Ziyang Jiang, Genesis Higueros, David Carlson + 1 more
High-performance batteries are poised for electrification of vehicles and therefore mitigate greenhouse gas emissions, which, in turn, promote a sustainable future. However, the design of optimized batteries is challenging due to the nonlinear governing physics and electrochemistry. Recent advancements have…
Esteban Bertsch Aguilar, Sebastián Suñer Sánchez, Silvana Pinheiro, William J. Zamora Ramírez
- 1. 1. CBio3 Laboratory, School of Chemistry, University of Costa Rica, San Pedro, San José, Costa Rica - 2. 2. Laboratory of Computational Toxicology and Artificial Intelligence (LaToxCIA), Biological Testing Laboratory (LEBi), University of Costa Rica, San Pedro, San José, Costa Rica - 3. 3. Advanced Computing Lab…
Authors not listed
Phase equilibrium calculations are crucial in chemical engineering design and optimization processes. The PC-SAFT equation of state (EoS) can precisely calculate phase equilibrium, but is relatively complex and computationally intensive. Surrogate models are mathematically simple models that map or regress the…