Topic Editors

1. Department of Mathematics and Computer Sciences, Necmettin Erbakan University, Meram Yeniyol, 42090 Meram, Konya, Turkey
2. Department of Mathematics, College of Engineering, Mathematics and Physical Sciences, University of Exeter, Cornwall TR10 9FE, UK
Prof. Dr. Necati Ozdemir
Department of Mathematics, Balikesir University, 10145 Balıkesir, Turkey
Prof. Dr. Mouhcine Tilioua
MAIS Laboratory, MAMCS Group, Moulay Ismail University of Meknes, P.O. Box 509, Boutalamine, Errachidia 52000, Morocco
MAIS Laboratory, MAMCS Group, Moulay Ismail University of Meknes, P.O. Box 509, Boutalamine, Errachidia 52000, Morocco

Analytical and Numerical Methods for Stochastic Biological Systems

Abstract submission deadline
closed (9 February 2024)
Manuscript submission deadline
closed (10 May 2024)
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6532

Topic Information

Dear Colleagues,

Stochastic mathematical models have been recognized as the most effective tools for understanding, analyzing, and predicting the real-world problems that humanity faces every day. These problems are addressed and introduced by researchers working in all fields of applied sciences. Perhaps the major challenge for researchers is the process of mathematical analysis and prediction. To analyze these models, one must solve them numerically or analytically and use the solution to make predictions based on the shape of perturbations and its associated theoretical framework. Due to the complexity of these models, new numerical charts and analysis methods have been developed to solve these models. Generally, this Topics aims to publish original and high-quality research articles covering the new analytical and numerical methods for perturbed real-world biological systems. In this context, continuous and discrete time stochastic processes will be discussed, as well as stochastic differential equations, stochastic partial differential equation, Lévy processes, first-passage-time problems, stochastic optimal control, parameter estimation, and advanced simulation techniques. All the above topics are intended to be treated in the spirit of modeling the evolution of stochastic systems of interest in biology. Potential topics include but are not limited to the following:

  • Stability analysis for stochastic differential equations in biology.
  • Partial differential equation models in biology.
  • Jump-diffusion processes.
  • Markov and semi-Markov processes.
  • Stochastic optimal control.
  • Numerical solutions of stochastic differential equations.
  • Parameter Estimation in stochastic differential equations.

The aim of this Topics is to compile a collection of articles reflecting the latest developments in stochastic modeling in biology, with the aim of studying the qualitative and quantitative behavior of phenomena in which a random component is necessary.

Dr. Mehmet Yavuz
Prof. Dr. Necati Ozdemir
Prof. Dr. Mouhcine Tilioua
Prof. Dr. Yassine Sabbar
Topic Editors

Keywords

  • stochastic differential equations in biology
  • partial differential equation in biology
  • jump-diffusion processes
  • Markov and semi-Markov processes

Participating Journals

Journal Name Impact Factor CiteScore Launched Year First Decision (median) APC
Algorithms
algorithms
1.8 4.1 2008 15 Days CHF 1600
Computation
computation
1.9 3.5 2013 19.7 Days CHF 1800
Entropy
entropy
2.1 4.9 1999 22.4 Days CHF 2600
Fractal and Fractional
fractalfract
3.6 4.6 2017 20.9 Days CHF 2700
Mathematical and Computational Applications
mca
1.9 - 1996 28.8 Days CHF 1400

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Published Papers (2 papers)

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16 pages, 1090 KiB  
Article
Estimating Surface EMG Activity of Human Upper Arm Muscles Using InterCriteria Analysis
by Silvija Angelova, Maria Angelova and Rositsa Raikova
Math. Comput. Appl. 2024, 29(1), 8; https://doi.org/10.3390/mca29010008 - 23 Jan 2024
Cited by 4 | Viewed by 2797 | Correction
Abstract
Electromyography (EMG) is a widely used method for estimating muscle activity and could help in understanding how muscles interact with each other and affect human movement control. To detect muscle interactions during elbow flexion and extension, a recently developed InterCriteria Analysis (ICrA) based [...] Read more.
Electromyography (EMG) is a widely used method for estimating muscle activity and could help in understanding how muscles interact with each other and affect human movement control. To detect muscle interactions during elbow flexion and extension, a recently developed InterCriteria Analysis (ICrA) based on the mathematical formalisms of index matrices and intuitionistic fuzzy sets is applied. ICrA has had numerous implementations in different fields, including biomedicine and quality of life; however, this is the first time the approach has been used for establishing muscle interactions. Six human upper arm large surface muscles or parts of muscles responsible for flexion and extension in shoulder and elbow joints were selected. Surface EMG signals were recorded from four one-joint (pars clavicularis and pars spinata of m. deltoideus [DELcla and DELspi, respectively], m. brachialis [BRA], and m. anconeus [ANC]) and two two-joint (m. biceps brachii [BIC] and m. triceps brachii-caput longum [TRI]) muscles. The outcomes from ten healthy subjects performing flexion and extension movements in the sagittal plane at four speeds with and without additional load are implemented in this study. When ICrA was applied to examine the two different movements, the BIC–BRA muscle interaction was distinguished during flexion. On the other hand, when the ten subjects were observed, four interacting muscle pairs, namely DELcla-DELspi, BIC-TRI, BIC-BRA, and TRI-BRA, were detected. The results obtained after the ICrA application confirmed the expectations that the investigated muscles contribute differently to the human upper arm movements when the flexion and extension velocities are changed, or a load is added. Full article
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19 pages, 1645 KiB  
Article
Stochastic Modeling of Three-Species Prey–Predator Model Driven by Lévy Jump with Mixed Holling-II and Beddington–DeAngelis Functional Responses
by Jaouad Danane, Mehmet Yavuz and Mustafa Yıldız
Fractal Fract. 2023, 7(10), 751; https://doi.org/10.3390/fractalfract7100751 - 12 Oct 2023
Cited by 8 | Viewed by 1561
Abstract
This study examines the dynamics of a stochastic prey–predator model using a functional response function driven by Lévy noise and a mixed Holling-II and Beddington–DeAngelis functional response. The proposed model presents a computational analysis between two prey and one predator population dynamics. First, [...] Read more.
This study examines the dynamics of a stochastic prey–predator model using a functional response function driven by Lévy noise and a mixed Holling-II and Beddington–DeAngelis functional response. The proposed model presents a computational analysis between two prey and one predator population dynamics. First, we show that the suggested model admits a unique positive solution. Second, we prove the extinction of all the studied populations, the extinction of only the predator, and the persistence of all the considered populations under several sufficient conditions. Finally, a special Runge–Kutta method for the stochastic model is illustrated and implemented in order to show the behavior of the two prey and one predator subpopulations. Full article
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