Article
Mathematics
Kerioui Nadjah, Abdelouahab Mohammed Salah
Summary: This paper investigates the dynamics of a new bioeconomic predator-prey system with only predator's harvesting and Holling type III response function. The mathematical analysis shows that the positive equilibrium point is locally asymptotically stable when profit is below a critical value, but can become unstable through a Hopf bifurcation as profit increases. The study highlights the role of economic revenue in making the system stable and includes numerical simulations to support the analytical findings.
ELECTRONIC RESEARCH ARCHIVE
(2021)
Article
Multidisciplinary Sciences
Shota Kato, Chunpu Zhang, Manabu Kano
Summary: Mathematical formulas are crucial in STEM documents, and understanding them requires distinguishing between groups of equations. This study develops an algorithm using a computer algebra system to determine the equivalence of equation groups. The algorithm eliminates variables unique to each group and compares equations based on their algebraic solutions. Testing on 50 pairs of equation groups showed accurate results, indicating the potential for enhancing understanding of mathematical information in STEM documents and aiding machines in comprehending equations.
SCIENTIFIC REPORTS
(2023)
Article
Physics, Applied
Ryuhei Yamaguchi, Gaku Tanaka, Nadia Shaira Shafii, Kahar Osman, Yasutomo Shimizu, Khalid M. Saqr, Makoto Ohta
Summary: This study investigated the hemodynamics of an elastic aneurysm model using particle image velocimetry. The results showed that wall elasticity suppressed the magnitude of wall shear stress in the aneurysm and attenuated the flow fluctuation.
JOURNAL OF APPLIED PHYSICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Shi-Shuenn Chen, Jun-Yang Shi, Minh -Tam Doan
Summary: This paper proposes a novel modeling approach based on meta-heuristic optimization to construct adaptive lumped-parameter models for approximating the dynamic response of a shallow foundation in layered soil. The developed model is adaptive to complexities of impedance functions for different types of soil deposits. The optimal parameters of the proposed model are computed using three optimization algorithms, with forensic-based investigation outperforming the others. A parametric study is conducted to verify the model's appropriateness and it is found that the dynamic responses of the simplified systems are consistent with those computed using existing impedances and software.
COMPUTERS AND GEOTECHNICS
(2023)
Article
Mathematics, Applied
Daoxiang Zhang, Xinmei Wang
Summary: In this paper, a fractional differential-algebraic model with two discrete delays and double linear species harvesting is formulated. The delays represent the digestion time of the prey and the negative feedback of predator density, respectively. Economic profit is taken into account, and linear predator and prey harvesting are incorporated into the predator-prey system. The paper discusses the conditions for the existence of nontrivial positive equilibrium from a biological perspective. Stability theory of fractional differential-algebraic equations and bifurcation theory are used to study delay-induced instability and Hopf bifurcations. Numerical simulations are conducted to verify the theoretical analysis and explore the effects of delays, economic profit, and fractional exponents on system stability.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Mathematics
Zouhair Diab, Juan L. G. Guirao, Juan A. Vera
Summary: The present paper studies the presence of bifurcations of zero-Hopf type at a generalized Genesio differential equation by transforming it into a first-order differential system in R-3. It is proven that a zero-Hopf bifurcation exists, leading to periodic trajectories near the equilibrium point when the parameters a and c are zero and b is positive.
Article
Mathematics, Applied
L. Lopez, S. Maset
Summary: This paper considers numerical methods for locating events of differential algebraic equations. Convergence theorems are given for the numerical event time and event point to approach the true values. The order of convergence of the event location is shown to be equivalent to the convergence order of the continuous extension for semi-implicit methods or Rosenbrock methods, and to the convergence order of the implicit Runge-Kutta method. (c) 2022 IMACS. Published by Elsevier B.V. All rights reserved.
APPLIED NUMERICAL MATHEMATICS
(2022)
Article
Mathematics
Marc Paul Noordman, Marius Van der Put, Jaap Top
Summary: This study provides a 'complete' answer to the problem of algebraic dependence of solutions to (non-linear) first order autonomous equations over an algebraically closed field of characteristic zero, independent of model theoretic results on differentially closed fields. Instead, the key ingredient is provided by the geometry of curves and generalized Jacobians. The study also tackles the classification and formal solutions of autonomous equations and applies the results to the question of D-n-finiteness of solutions of first order differential equations.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
(2022)
Article
Computer Science, Interdisciplinary Applications
Zhongyou Li, Xiao Li, Fei Yan, Lingjun Liu, Taoping Bai, Wentao Jiang, Ruiqi Dong
Summary: LLHE enhances lower limb blood flow and improves the blood flow of both the arterial trunk and visceral arteries. However, further investigation is needed for the increased blood flow reversal in the thoracic and abdominal aortas.
COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE
(2023)
Article
Mathematics, Interdisciplinary Applications
Tri Dat Nguyen, Lam Xuan Chau Ngo
Summary: This paper investigates the Liouvillian general solutions of autonomous algebraic ordinary differential equations (AODEs) of order one, and presents the necessary and sufficient conditions for these equations to have Liouvillian solutions. Additionally, an algorithm for determining a Liouvillian general solution of an autonomous AODE of order one is proposed based on these results.
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
(2023)
Article
Mathematics, Applied
Saima Akram, Allah Nawaz, Mariam Rehman
Summary: In this article, periodic solutions from a fine focus U = 0 are achieved for several different classes, with polynomial and trigonometric coefficients. By employing a systematic bifurcation procedure under coefficient perturbation, the highest known multiplicity of 10 is found for specific classes with algebraic and trigonometric coefficients. Symbolic computation in Maple 18 is used to discuss polynomials of different degrees and coefficients, with all results validated and found to be novel and authentic in their respective domains.
Article
Mathematics, Applied
Weibing Wang, Xiaoxin Zuo
Summary: In this paper, the existence, nonexistence, and multiplicity of positive solutions for an impulsive periodic boundary value problem with a positive parameter λ are investigated. Using the critical point theorem, a bifurcation type result on positive solutions is obtained; that is, there exists 0<λ<Λ under the appropriate conditions.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Engineering, Marine
Luis A. Padron, Sandro Carbonari, Francesca Dezi, Michele Morici, Jacob D. R. Bordon, Graziano Leoni
Summary: This study focuses on the dynamic and seismic response of offshore wind turbines' support structures of different rated powers. It reveals that even low and moderate intensity earthquakes can significantly increase the structural demands of large wind turbines, with a clear tendency for Soil-Structure Interaction to be beneficial as the turbine size increases.
Article
Mathematics, Applied
Yuhong Sheng, Nan Zhang
Summary: The paper introduces three methods for parameter estimation of uncertain differential equations, based on the linear equation, Euler scheme, and midpoint scheme solutions, respectively. The unknown parameters can be obtained through the correlation operation of the solution obeying the same distribution as the observed value, as demonstrated with numerical examples.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Article
Chemistry, Multidisciplinary
Dariush Bodaghi, Qian Xue, Xudong Zheng, Scott Thomson
Summary: The study found that subglottic stenosis only affects voice production when its severity exceeds a certain threshold, leading to rapid decreases in glottal flow, vocal fold vibration amplitude, and vocal efficiency. Changing the location of subglottic stenosis has no significant effect on the dynamics of voice production.
APPLIED SCIENCES-BASEL
(2021)
Article
Biophysics
C. D. Bertram, C. Macaskill, M. J. Davis, J. E. Moore
BIOMECHANICS AND MODELING IN MECHANOBIOLOGY
(2018)
Article
Biology
Michael G. Watson, Helen M. Byrne, Charlie Macaskill, Mary R. Myerscough
JOURNAL OF THEORETICAL BIOLOGY
(2018)
Article
Biophysics
C. D. Bertram, C. Macaskill, J. E. Moore
JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME
(2019)
Article
Biophysics
B. O. Ikhimwin, C. D. Bertram, S. Jamalian, C. Macaskill
BIOMECHANICS AND MODELING IN MECHANOBIOLOGY
(2020)
Correction
Biophysics
B. O. Ikhimwin, C. D. Bertram, S. Jamalian, C. Macaskill
BIOMECHANICS AND MODELING IN MECHANOBIOLOGY
(2020)
Editorial Material
Oncology
Qian Xu, James E. Moore
JOURNAL OF PATHOLOGY
(2020)
Article
Biology
Michael G. Watson, Helen M. Byrne, Charlie Macaskill, Mary R. Myerscough
JOURNAL OF MATHEMATICAL BIOLOGY
(2020)
Article
Multidisciplinary Sciences
Sarah C. Johnson, Sanjukta Chakraborty, Anastasios Drosou, Paula Cunnea, Dimitrios Tzovaras, Katherine Nixon, David C. Zawieja, Mariappan Muthuchamy, Christina Fotopoulou, James E. Moore
Article
Biophysics
Christopher J. Morris, David C. Zawieja, James E. Moore
Summary: The study developed a multiscale computational model to simulate phasic and tonic contractions in lymphatic muscle and coupled it with a lymphangion pumping model to investigate lymphedema treatment. By relating model results to experiments and showing similarities with rat experiments, it provided initial estimates of lymphatic muscle contraction energetics.
BIOMECHANICS AND MODELING IN MECHANOBIOLOGY
(2021)
Article
Nanoscience & Nanotechnology
Willy V. Bonneuil, Daniel J. Watson, Jennifer Frattolin, Matthew J. Russell, Francesca Fasanella Masci, Mikaila Bandara, Bindi S. Brook, Robert J. B. Nibbs, James E. Moore
Summary: This study presents a microfluidic chip that can generate precisely controlled chemotactic gradients under advective-diffusive conditions. By using torque-actuated membranes and modifying the resistance of fluid channels, stable gradients and constant interstitial flow can be achieved. This method is important for studying the formation and maintenance of molecular gradients and cell migration under physiological conditions.
Article
Biology
E. J. Hancock, S. D. Zawieja, C. Macaskill, M. J. Davis, C. D. Bertram
Summary: This article introduces a model that simulates oscillations in membrane voltage and intracellular calcium concentrations of lymphatic muscle cells, and demonstrates the application of this model in phase plane analysis. The model helps to understand the mechanisms of lymphoedema and find targets for pharmacological treatment.
COMPUTERS IN BIOLOGY AND MEDICINE
(2022)
Article
Multidisciplinary Sciences
Sarah C. Johnson, Jennifer Frattolin, Lowell T. Edgar, Mohammad Jafarnejad, James E. Moore
Summary: The research indicates that swelling in lymph nodes can enhance the activation of T cells, but early occurrence of swelling or low TC cognate frequency can reduce CD8(+) T cell production. Temporarily extending retention of effector T cells can mitigate the negative effects of swelling.
JOURNAL OF THE ROYAL SOCIETY INTERFACE
(2021)
Article
Mathematical & Computational Biology
Christopher D. Bertram, Bernard O. Ikhimwin, Charlie Macaskill
Summary: The majority of lymphatic valves tend to form near vessel junctions due to disturbed flow leading to accumulation of transcription factors, which initiate valvogenesis. However, experiments show that under certain flow conditions, flow at vessel junctions is not disturbed, and the concentration of Prox1 transcription factor is not significantly correlated with shear stress.
MATHEMATICAL BIOSCIENCES AND ENGINEERING
(2021)
Meeting Abstract
Cardiac & Cardiovascular Systems
M. G. Watson, H. M. Byrne, C. Macaskill, M. R. Myerscough
CARDIOVASCULAR DRUGS AND THERAPY
(2019)
Review
Engineering, Biomedical
James E. Moore, Bindi S. Brook, Robert J. B. Nibbs
CURRENT OPINION IN BIOMEDICAL ENGINEERING
(2018)