Article
Multidisciplinary Sciences
Chi-Fai Lo, Ho-Yan Ip
Summary: This study reformulated the Leaky Competing Accumulator (LCA) model with multiple alternatives based on the stochastic Gompertz law of population growth, ensuring the positive-definiteness of evidence accumulation, and successfully derived the N-dimensional joint probability density function and marginal probability density function for each alternative. By constructing a likelihood function using the joint probability density function, model-fitting procedures become feasible, and it was demonstrated that calibrating model parameters based on Monte Carlo simulated time series is efficient and accurate. Furthermore, the proposed Lie-algebraic approach can also be applied to tackle the modified LCA model with time-varying parameters.
SCIENTIFIC REPORTS
(2021)
Article
Computer Science, Interdisciplinary Applications
Antonio Rafael Selva Castaneda, Josue Marino del Pozo, Erick Eduardo Ramirez-Torres, Eduardo Jose Roca Oria, Sorangel Bolanos Vaillant, Juan Montijano, Luis Enrique Bergues Cabrales
Summary: By extending the Gompertz equation, this study simulated the spatiotemporal behavior of anisotropic tumors and conducted a theoretical analysis. The results showed that direct current treatment is most effective for highly heterogeneous, anisotropic, aggressive, and hypodense malignant solid tumors.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2023)
Article
Agricultural Engineering
Diego Tassinari, Moacir de S. Dias Junior, Bruno M. Silva, Geraldo C. de Oliveira, Teotonio S. de Carvalho, Eduardo da C. Severiano, Wellington W. Rocha
Summary: The determination of soil precompression stress has evolved over the years, with various methods tested and compared in this study. Experimental factors and their interactions have been found to affect the determination of sigma(p), with different methods suitable for different strain-attributes. The bi-linear intersection method is recommended for bulk density attribute.
BIOSYSTEMS ENGINEERING
(2021)
Article
Multidisciplinary Sciences
Petras Rupsys, Edmundas Petrauskas
Summary: The study utilized a dynamic and stochastic modeling approach for growth regulatory networks in biology, demonstrating parameter estimation and data analysis using a combination of three Gompertz-type diffusion processes with mixed effects and conditional normal copula functions.
Article
Mathematics, Applied
M. S. Hashmi, Zainab Shehzad, Asifa Ashraf, Zhiyue Zhang, Yu-Pei Lv, Abdul Ghaffar, Mustafa Inc, Ayman A. Aly
Summary: This paper presents an efficient numerical technique for solving time fractional modified anomalous subdiffusion equation, using B-spline curve to approximate the solution curve, approximating the time fractional derivative with the discretized form of the Riemann-Liouville derivative, and solving the system of algebraic equations using a variant of Thomas algorithm.
JOURNAL OF FUNCTION SPACES
(2021)
Article
Physics, Fluids & Plasmas
Pece Trajanovski, Petar Jolakoski, Kiril Zelenkovski, Alexander Iomin, Ljupco Kocarev, Trifce Sandev
Summary: The Ornstein-Uhlenbeck process is a Brownian motion in a harmonic potential. It exhibits properties like bounded variance, stationary probability distribution, and mean reverting behavior. Two examples of the generalized Ornstein-Uhlenbeck process are studied, one on a comb model and the other with stochastic resetting.
Article
Multidisciplinary Sciences
Huijun Lv, Guitian He, Hui Cheng, Yun Peng
Summary: In this work, an improved Gompertz tumor growth model is introduced and the expressions of steady probability distributions are studied using the technique of Fokker-Planck equation. The dynamic behaviors of the model are further investigated, and expressions for mean, variance, skewness, and mean first-passage time are derived. The influence of noise intensity, correlation coefficient, and noise correlation time on steady probability distributions is analyzed, and the impact of adjusting birth and death parameters is also significant.
Article
Physics, Mathematical
Guilherme Eduardo Freire Oliveira, Christian Maes, Kasper Meerts
Summary: We present a stochastic multi-photon dynamics model in reciprocal space, where the diffusion limit of a tagged photon is shown to be a nonlinear Markov process on frequency, with the nonlinearity originating from stimulated emission. Specifically, in the case of Compton scattering with thermal electrons, the limiting process captures the dynamic fluctuations around the Kompaneets equation. Furthermore, we develop a photon frequency diffusion process that allows for the inclusion of nonequilibrium effects, providing a means to explore modifications of the Planck Law, with a focus on the low-frequency regime.
JOURNAL OF STATISTICAL PHYSICS
(2022)
Article
Engineering, Biomedical
Xiangyu Deng, Wenbo Yang, Zengwu Shao, Yanli Zhao
Summary: The research utilizes genetically modified live attenuated bacteria in combination with Chlorin e6 (Ce6) for photodynamic therapy, achieving precise tumor inhibition.
Article
Chemistry, Analytical
Lei Cheng, Rong Jin, Dechen Jiang, Jian Zhuang, Xiaobo Liao, Qiangqiang Zheng
Summary: High-spatial-resolution local electrochemical impedance spectroscopy (LEIS) was achieved using scanning electrochemical cell microscopy (SECCM-LEIS), with a spatial resolution of approximately 180 nm. The stability and reliability of this platform were confirmed through long-term tests and Kramers-Kronig transformation. This technology revealed larger electric double-layer capacitance and smaller interfacial resistance at the edges of N-doped reduced graphene oxide compared to the planar surface, suggesting high electrochemical activity at the edges.
ANALYTICAL CHEMISTRY
(2021)
Article
Biotechnology & Applied Microbiology
Fangpeng Shu, Taowei Yang, Xuefeng Zhang, Wenbin Chen, Kaihui Wu, Junqi Luo, Xumin Zhou, Guochang Liu, Jianming Lu, Xiangming Mao
Summary: The study demonstrates the development of an organic nanoagent with oxygen-evolved and targeted ability for improved phototherapeutic efficacy. The nanoagent shows catalase-like activity in the presence of hydrogen peroxide and improved generation of reactive oxygen species under near-infrared laser irradiation. Targeted uptake in tumor cells and superior phototherapeutic efficacy over non-targeted counterparts are confirmed in vitro and in vivo.
JOURNAL OF NANOBIOTECHNOLOGY
(2021)
Article
Mathematics, Interdisciplinary Applications
E. Pelinovsky, M. Kokoulina, A. Epifanova, A. Kurkin, O. Kurkina, M. Tang, E. Macau, M. Kirillin
Summary: The paper reports on the application of the Gompertz model for describing the growth dynamics of COVID19 cases during the first wave of the pandemic in various countries. The study modeled 23 countries and compared the accuracy of the Gompertz model with the simple logistic model using regression analysis. The results indicate that the Gompertz model performs better.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Applied
Lei Wang, Xuguang Yang, Huili Wang, Zhenhua Chai, Zhouchao Wei
Summary: In this study, a modified regularized lattice Boltzmann model is developed for convection-diffusion equation (CDE) with a source term, which can recover the target CDE without deviation term through the Chapman-Enskog analysis. Numerical results show that the present model exhibits better numerical stability and accuracy compared to the traditional model, and it is comparable to the classical multiple-relaxation-time model in numerical accuracy.
APPLIED MATHEMATICS LETTERS
(2021)
Article
Statistics & Probability
Nils Caillerie, Julien Vovelle
Summary: In this study, we derive the hydrodynamic limit of a kinetic equation with a stochastic, short range perturbation of the velocity operator. By establishing a diffusion-approximation result under some mixing hypotheses on the stochastic perturbation, we obtain a parabolic stochastic partial differential equation on the macroscopic parameter, the density.
ANNALS OF APPLIED PROBABILITY
(2021)
Review
Oncology
Shan Xiao, Huan Gu, Li Deng, Xiongtao Yang, Dan Qiao, Xudong Zhang, Tian Zhang, Tao Yu
Summary: APA is a molecular process that generates diversity in the 3' end of RNA transcripts from a majority of human genes. It plays a role in post-transcriptional gene regulation, as does microRNA. NUDT21 is a crucial mediator of APA and has been found to have dual roles in cancer. This review focuses on the functions of APA, microRNA, and their interactions in tumor development.
FRONTIERS IN ONCOLOGY
(2023)
Article
Biology
Maraelys M. Gonzalez, Dasha F. Morales, Luis E. B. Cabrales, Daniel J. Perez, Juan I. Montijano, Antonio R. S. Castaneda, Victoriano G. S. Gonzalez, Oscar O. Posada, Janet A. Martinez, Arlem G. Delgado, Karina G. Martinez, Mayrel L. Mon, Kalet L. Monzon, Hector M. C. Ciria, Emilia O. Beaton, Soraida C. A. Brooks, Tamara R. Gonzalez, Manuel V. Jarque, Miguel A. O. Mateus, Jorge L. G. Rodriguez, Enaide M. Calzado
BIOELECTROMAGNETICS
(2018)
Article
Mathematics, Applied
Luigi Brugnano, Juan I. Montijano, Luis Randez
NUMERICAL ALGORITHMS
(2019)
Article
Computer Science, Interdisciplinary Applications
Luigi Brugnano, Juan Montijano, Luis Randez
JOURNAL OF COMPUTATIONAL PHYSICS
(2019)
Article
Multidisciplinary Sciences
Antonio Rafael Selva Castaneda, Erick Ramirez Torres, Narciso Antonio Villar Goris, Maraelys Morales Gonzalez, Juan Bory Reyes, Victoriano Gustavo Sierra Gonzalez, Maria Schonbek, Juan Ignacio Montijano, Luis Enrique Bergues Cabrales
Article
Engineering, Multidisciplinary
Enaide Maine Calzado, Jorge Luis Garcia Rodriguez, Luis Enrique Bergues Cabrales, Francisco Monier Garcia, Antonio Rafael Selva Castaneda, Ivelice Maria Gonzalez Delgado, Leonardo Mesa Torres, Fidel Valentin Giro Uribazo, Maraelys Morales Gonzalez, Soraida Candida Acosta Brooks, Tamara Rubio Gonzalez, Eduardo Jose Roca Oria, Leonardo Lorenzo Bravo Roger, Hugo Enrique Hernandez Figueroa, Geisa Davila Perez
APPLIED MATHEMATICAL MODELLING
(2019)
Article
Medicine, Research & Experimental
Narciso Antonio Villar Goris, Jorge Luis Garcia Rodriguez, Maraelys Morales Gonzalez, Beatriz Olivares Borges, Dasha Fuentes Morales, Enaide Maine Calzado, Antonio Rafael Selva Castaneda, Leonardo Mesa Torres, Juan Ignacio Montijano, Victoriano Gustavo Sierra Gonzalez, Daniel Jay Perez, Oscar Ortiz Posada, Janet Avellanet Martinez, Arlem Garcia Delgado, Karina Garcia Martinez, Mayrel Labrada Mon, Kalet Leon Monzon, Hector Manuel Camue Ciria, Luis Enrique Bergues Cabrales
JOURNAL OF TRANSLATIONAL MEDICINE
(2020)
Article
Physics, Multidisciplinary
N. A. Villar Goris, A. R. Selva Castaneda, E. E. Ramirez-Torres, J. Bory Reyes, L. Randez, L. E. Bergues Cabrales, J. Montijano
REVISTA MEXICANA DE FISICA
(2020)
Article
Computer Science, Interdisciplinary Applications
M. Calvo, J. Montijano, L. Randez
Summary: A family of TASE operators for stiff IVPs is proposed, with the order of the TASE operator depending on multiple free parameters for different stability and accuracy requirements. A study on A-stability properties for explicit RK schemes supplemented with TASE operators is conducted, providing specific schemes suitable for stiff problems.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Computer Science, Interdisciplinary Applications
Antonio Rafael Selva Castaneda, Josue Marino del Pozo, Erick Eduardo Ramirez-Torres, Eduardo Jose Roca Oria, Sorangel Bolanos Vaillant, Juan Montijano, Luis Enrique Bergues Cabrales
Summary: By extending the Gompertz equation, this study simulated the spatiotemporal behavior of anisotropic tumors and conducted a theoretical analysis. The results showed that direct current treatment is most effective for highly heterogeneous, anisotropic, aggressive, and hypodense malignant solid tumors.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2023)
Article
Mathematics, Applied
Manuel Calvo, Lin Fu, Juan I. Montijano, Luis Randez
Summary: This paper proposes new explicit integrators for numerical solution of stiff evolution equations. The new integrators have simpler computation process and better stability properties compared to previous methods. A series of numerical experiments demonstrates that the new integrators provide a simple and stable solver for stiff systems.
JOURNAL OF SCIENTIFIC COMPUTING
(2023)
Article
Mathematics, Applied
Antonio Rafael Selva Castaneda, Erick Eduardo Ramirez-Torres, Luis Eugenio Valdes-Garcia, Hilda Maria Morandeira-Padron, Diana Sedal Yanez, Juan I. Montijano, Luis Enrique Bergues Cabrales
Summary: The study proposes a modified SEIR model to describe the behavior of symptomatic, asymptomatic, and hospitalized patients in an epidemic, considering the effect of demographic evolution. The growth ratio is assumed to be proportional to the total population, following a Logistic law. Theoretical analysis, computation of the basic reproduction number R0, and numerical simulations are conducted to validate the model and its properties. The model is fitted to experimental data on COVID-19 in Cuba, providing a correct estimation of asymptomatic cases. Overall, the model is deemed an appropriate tool for studying and controlling infectious diseases.
APPLIED MATHEMATICS AND COMPUTATION
(2023)
Article
Computer Science, Interdisciplinary Applications
Vitaly Chernik, Pavel Buklemishev
Summary: The paper introduces a simple 2D model for describing the cell motility on a homogeneous isotropic surface. The model incorporates the dynamics of complex actomyosin liquid, which affects the boundary dynamics and cell motility. It consists of a system of equations with a free boundary domain and includes a non-local term. The numerical solution of this model is presented in this work.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
Hasan Karjoun, Abdelaziz Beljadid
Summary: In this study, we developed a numerical model based on the depth-averaged shallow water equations to simulate flows through vegetation field. The model takes into account the drag and inertia forces induced by vegetation, using different formulations for the stem drag coefficient. Turbulence induced by vegetation is also considered through the addition of diffusion terms in the momentum equations. The proposed numerical model is validated through numerical simulations and shows good accuracy in simulating overland flows under vegetation effects.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
Bechir Naffeti, Hamadi Ammar, Walid Ben Aribi
Summary: This paper proposes a branch and bound multidimensional Holder optimization method, which converts a multivariate objective function into a single variable function and minimizes it using an iterative optimization method. The method is applied to solve a parameters identification problem resulting from the increase in infections, providing information about the prevalence and infection force.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
Heba F. Eid, Erik Cuevas, Romany F. Mansour
Summary: The proposed modified Bonobo optimizer algorithm dynamically adjusts the trajectory of each search agent to overcome the flaw of the original algorithm and improve the performance and solution quality by exploring and exploiting different regions of the solution space.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
Farshid Mehrdoust, Idin Noorani, Juho Kanniainen
Summary: This paper proposes a Markov-switching model to evaluate the dynamics of commodity futures and spot prices, and introduces a hidden Markov chain to model the sudden jumps in commodity prices. The model is calibrated using the crude oil spot price and estimation-maximization algorithm. The study also evaluates European call options written on crude oil futures under the regime-switching model and derives Greek formulas for risk assessment. The importance of this paper is rated at 8 out of 10.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
Rupa Mishra, Tapas Kumar Saha
Summary: This paper presents a control scheme for distributed generation units to operate in stand-alone and grid-connected modes, with a smooth transition between the two. The control strategy includes predictive control for voltage and frequency regulation in stand-alone mode, and power control for symmetrical and unbalanced grid voltage conditions in grid-connected mode. The proposed control method improves power factor, reduces grid current harmonics, and eliminates grid frequency ripple.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
Yu Wang, Yang Tian, Yida Guo, Haoping Wang
Summary: This paper proposes a multi-level control strategy for lower limb patient-exoskeleton coupling system (LLPECS) in rehabilitation training based on active torque. The controller consists of three sub-controllers: gait adjustment layer, interaction torque design layer, and trajectory tracking layer. The effectiveness of the proposed control strategy is demonstrated through co-simulations in the SimMechanics environment using an exoskeleton virtual prototype developed in SolidWorks.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
Takuji Arai, Yuto Imai
Summary: The Barndorff-Nielsen and Shephard model is a jump-type stochastic volatility model, and this paper proposes two simulation methods for computing option prices under a representative martingale measure. The performance of these methods is evaluated through numerical experiments.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
Wanai Li
Summary: This paper proposes a new framework that combines quadrature-based and quadrature-free discontinuous Galerkin methods and applies them to triangular and tetrahedral grids. Four different DG schemes are derived by choosing specific test functions and collocation points, improving computational efficiency and ease of code implementation.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
Xiyuan Chen, Qiubao Wang
Summary: This paper introduces a technique that combines dynamical mechanisms and machine learning to reduce dimensionality in high-dimensional complex systems. The method utilizes Hopf bifurcation theory to establish a model paradigm and utilizes machine learning to train location parameters. The effectiveness and robustness of the proposed method are tested and validated through experiments and simulations.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
Muhammad Farman, Aqeel Ahmad, Anum Zehra, Kottakkaran Sooppy Nisar, Evren Hincal, Ali Akgul
Summary: Diabetes is a significant public health issue that affects millions of people worldwide. This study proposes a mathematical model to understand the mechanisms of glucose homeostasis, providing valuable insights for diabetes management. The model incorporates fractional operators and analyzes the impact of a new wave of dynamical transmission on equilibrium points, offering a comprehensive understanding of glucose homeostasis.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
Gholamreza Shobeyri
Summary: This study introduces two improved Laplacian models for more accurate simulation of free surface flows in the context of the MPS method. The higher accuracy of these models compared to the traditional methods is verified through solving 2D Poisson equations and solving three benchmark free surface flow problems. These models can also resolve the issue of wave damping in the original MPS computations.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
Qiang Li, Jinling Liang, Weiqiang Gong, Kai Wang, Jinling Wang
Summary: This paper addresses the problem of nonfragile state estimation for semi-Markovian switching complex-valued networks with time-varying delay. By constructing an event-triggered generator and solving matrix inequalities, less conservative criteria are obtained, and the gains of the nonfragile estimator are explicitly designed. A numerical example is provided to demonstrate the effectiveness of the proposed estimation scheme.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
Gengen Zhang, Jingyu Li, Qiong-Ao Huang
Summary: In this paper, a novel class of unconditionally energy stable schemes are constructed for solving gradient flow models by combining the relaxed scalar auxiliary variable (SAV) approach with the linear multistep technique. The proposed schemes achieve second-order temporal accuracy and strictly unconditional energy stability.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
S. Clain, J. Figueiredo
Summary: This study proposes a detailed construction of a very high-order polynomial representation and introduces a functional to assess the quality of the reconstruction. Several optimization techniques are implemented and their advantages in terms of accuracy and stability are demonstrated.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
