Theory in Biosciences最新文献

A semi-analytical approach and theoretical investigation to multi-dimensional DNA models. 多维DNA模型的半解析方法及理论研究。

IF 1.4 4区生物学

Theory in Biosciences Pub Date : 2025-09-30 DOI: 10.1007/s12064-025-00448-5

Khalid K Ali, Mohamed S Mohamed, M Maneea, Monica Botros

{"title":"A semi-analytical approach and theoretical investigation to multi-dimensional DNA models.","authors":"Khalid K Ali, Mohamed S Mohamed, M Maneea, Monica Botros","doi":"10.1007/s12064-025-00448-5","DOIUrl":"https://doi.org/10.1007/s12064-025-00448-5","url":null,"abstract":"The dynamics of DNA molecules play a crucial role in understanding genetic information storage, replication, and transmission. This study investigates the nonlinear dynamics of double-chain DNA systems using fractional-order differential equations, addressing the need for accurate mathematical models to capture the complex, non-local interactions inherent in biological systems. Traditional integer-order models often fail to account for memory effects and anomalous diffusion observed in DNA behavior. By employing fractional calculus, we develop a more realistic framework to model longitudinal and transverse displacements in DNA strands. The Laplace Residual Power Series Method (L-RPSM) is utilized to derive analytical solutions for (2+1)- and (3+1)-dimensional fractional DNA models, validated through numerical and graphical comparisons with exact solutions. Numerical experiments demonstrate that the method achieves absolute errors up to <math><msup><mn>10</mn> <mrow><mo>-</mo> <mn>18</mn></mrow> </msup> </math> compared with exact solutions. Our results demonstrate the efficacy of fractional calculus in capturing the nuanced dynamics of DNA, offering insights into soliton propagation and structural analysis, which are vital for applications in biophysics and genetic engineering.","PeriodicalId":54428,"journal":{"name":"Theory in Biosciences","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145201877","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"生物学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Smart and smarter: improving on a classic egg shape model. 更聪明，更聪明：改进了经典的鸡蛋形状模型。

IF 1.4 4区生物学

Theory in Biosciences Pub Date : 2025-09-26 DOI: 10.1007/s12064-025-00447-6

Valeriy G Narushin, Natalia A Volkova, Alan Yu Dzhagaev, Darren K Griffin, Michael N Romanov, Natalia A Zinovieva

{"title":"Smart and smarter: improving on a classic egg shape model.","authors":"Valeriy G Narushin, Natalia A Volkova, Alan Yu Dzhagaev, Darren K Griffin, Michael N Romanov, Natalia A Zinovieva","doi":"10.1007/s12064-025-00447-6","DOIUrl":"https://doi.org/10.1007/s12064-025-00447-6","url":null,"abstract":"Smart's model (SM) describing the geometry of avian eggs is, uniquely, based on physiological characteristics of eggs formation in oviduct walls transforming a sphere to an ellipsoid, to an ovoid. The purpose of this study was to revisit and perform a more in-depth examination of SM, providing a possible improvement in terms of reducing the number of initial parameters and compliance with geometric principles fundamental for bodies of revolution. SM requires measuring five egg parameters: length (L), maximum breadth (B), displacement of the central axis to the level of maximum breadth (w), and two radii of the egg at a point shifted by ¼L from the pointed (r) and blunt (R) ends, respectively. A practical test for the reproduction degree of three egg shape varieties using five-parameter model confirmed its maximum accuracy compared to all others. Modifications using four parameters (L, B, w and r or B0, which is egg diameter at ½L) were also relatively accurate, and only slightly inferior. Using three parameters (L, B and w) was clearly insufficient; however, one of our three-parameter models met the requirements of the \"Main Axiom of the mathematical formula of the bird's egg\". In our opinion, two of Smart's postulates, the point of applying an oviduct force to provide the appropriate egg shape and the equality of L and the length of original ellipsoid, were used as fixed initial premises, which allowed to exclude many other possible options and to derive a mathematical model. Such an assumption arose according to the theoretical studies presented herein. Nevertheless, Smart's formula derivation based on physiology of egg formation is a pioneering approach to the development of egg-shape models.","PeriodicalId":54428,"journal":{"name":"Theory in Biosciences","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145151878","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"生物学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A novel passivity-based design for Lipschitz nonlinear systems with application to hepatitis B disease. 一种新的基于被动的Lipschitz非线性系统设计及其在乙肝疾病中的应用。

IF 1.4 4区生物学

Theory in Biosciences Pub Date : 2025-09-16 DOI: 10.1007/s12064-025-00445-8

Shaghayegh Gorji, Ahmad Fakharian, Rezvan Abbasi

引用次数: 0

Modeling influenza transmission and control: epidemic theory insights across Mexico, Italy, and South Africa. 模拟流感传播和控制：流行理论见解在墨西哥，意大利和南非。

IF 1.4 4区生物学

Theory in Biosciences Pub Date : 2025-08-30 DOI: 10.1007/s12064-025-00446-7

Md Kamrujjaman, Kazi Mehedi Mohammad

{"title":"Modeling influenza transmission and control: epidemic theory insights across Mexico, Italy, and South Africa.","authors":"Md Kamrujjaman, Kazi Mehedi Mohammad","doi":"10.1007/s12064-025-00446-7","DOIUrl":"https://doi.org/10.1007/s12064-025-00446-7","url":null,"abstract":"A mathematical analysis of influenza virus transmission is undertaken, combining rigorous theoretical development with numerical simulations informed by real-world data. The terms in the equations introduce parameters which are determined by fitting the model for matching clinical data sets using nonlinear least-square method. Wave patterns, critical illness factors, and forecasts of influenza transmission at national levels in Mexico, Italy, and South Africa are examined, alongside evaluations of the effectiveness of existing control measures and proposals for alternative policy interventions. Data for 120 weeks from October 2021 to March 2023 are used to fit the model. Numerical simulations and sensitivity analysis reveal the effectiveness of various prevention strategies. We performed data fitting using Latin hypercube sampling, sensitivity indices, Partial Rank Correlation Coefficient (PRCC), and p values to estimate the basic reproduction number <math><msub><mi>R</mi> <mn>0</mn></msub> </math> and validate the model with data from these countries. Leveraging this validation, we identify optimal control strategies involving antiviral treatment protocols to suppress viral spread, reduce new infections, and minimize systemic costs. The existence and uniqueness of the optimal control pair are rigorously established, with the derived optimality system solved numerically. Additionally, we investigated the qualitative behavior of the threshold quantity, which determines whether the disease dies out or persists in the population. Finally, numerical experiments illustrate the impact of key parameters on transmission dynamics, corroborating theoretical predictions.","PeriodicalId":54428,"journal":{"name":"Theory in Biosciences","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144979103","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"生物学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Traveling wave solutions in a delayed local and nonlocal diffusion model for a generalized SIR epidemic model. 广义SIR流行病模型的延迟局部和非局部扩散模型的行波解。

IF 1.3 4区生物学

Theory in Biosciences Pub Date : 2025-07-17 DOI: 10.1007/s12064-025-00443-w

Rassim Darazirar

{"title":"Traveling wave solutions in a delayed local and nonlocal diffusion model for a generalized SIR epidemic model.","authors":"Rassim Darazirar","doi":"10.1007/s12064-025-00443-w","DOIUrl":"https://doi.org/10.1007/s12064-025-00443-w","url":null,"abstract":"In this paper, we investigate traveling wave solutions for a delayed reaction-diffusion epidemic model incorporating both local and nonlocal diffusion mechanisms. The model describes the dynamics of susceptible, infected, and recovered populations, with infection spreading influenced by delayed interactions. The susceptible and recovered populations follow a nonlocal diffusion process, while the infected population undergoes local diffusion. We derive comprehensive results regarding the existence and nonexistence of traveling wave solutions. Specifically, we demonstrate that if the basic reproduction number <math><msub><mi>R</mi> <mn>0</mn></msub> </math> satisfies <math> <mrow><msub><mi>R</mi> <mn>0</mn></msub> <mo><</mo> <mn>1</mn></mrow> </math> , the system does not admit any traveling wave solutions. Conversely, when <math> <mrow><msub><mi>R</mi> <mn>0</mn></msub> <mo>></mo> <mn>1</mn></mrow> </math> we identify a critical wave speed <math> <mrow><msup><mi>ρ</mi> <mo>∗</mo></msup> <mo>></mo> <mn>0</mn></mrow> </math> , such that for any <math><mrow><mi>ρ</mi> <mo>≥</mo> <msup><mi>ρ</mi> <mo>∗</mo></msup> </mrow> </math> , the system admits a non-critical bounded traveling wave solution. For <math><mrow><mi>ρ</mi> <mo><</mo> <msup><mi>ρ</mi> <mo>∗</mo></msup> </mrow> </math> , however, the model does not admit bounded, non-negative traveling wave solutions. Numerical simulations are performed to validate these theoretical results, highlighting the influence of both diffusion and delay mechanisms on wave propagation in the SIR model.","PeriodicalId":54428,"journal":{"name":"Theory in Biosciences","volume":" ","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144661009","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"生物学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Optimal representation in biological systems. 生物系统中的最优表示。

IF 1.3 4区生物学

Theory in Biosciences Pub Date : 2025-07-05 DOI: 10.1007/s12064-025-00444-9

Subhash Kak

引用次数: 0

Role of predator and time delay on an eco-epidemic spatial model: an appearance of chaos and complexity. 捕食者和时间延迟对生态流行病空间模型的作用：混沌和复杂性的表现。

IF 1.3 4区生物学

Theory in Biosciences Pub Date : 2025-07-02 DOI: 10.1007/s12064-025-00442-x

Sevak Ram Sahu, Sharada Nandan Raw

{"title":"Role of predator and time delay on an eco-epidemic spatial model: an appearance of chaos and complexity.","authors":"Sevak Ram Sahu, Sharada Nandan Raw","doi":"10.1007/s12064-025-00442-x","DOIUrl":"https://doi.org/10.1007/s12064-025-00442-x","url":null,"abstract":"Traditionally, disease spread is attributed to direct individual contact. However, various mechanisms influence transmission. This paper formulates a delay-induced reaction-diffusion system where predators significantly contribute to disease spread in prey populations. Theoretical analyses include boundedness, equilibrium existence and stability, Turing bifurcation, Turing instability, and Hopf bifurcation. Species exhibit both spatially homogeneous and heterogeneous distributions. Predators accelerate disease transmission, hindering species coexistence. A positive Lyapunov exponent confirms chaotic attractors, while random species movement destabilizes the system due to predator influence. In contrast, prey movement remains stable without predators. Increasing infectious delay shifts the system from oscillatory to stable dynamics, and a specific delay controls homogeneous periodic behavior. Thus, time delay has both stabilizing and destabilizing effects. Moreover, healthy prey cannot persist if disease transmission surpasses infected prey mortality in the absence of predators. The study suggests that predator-mediated disease spread, control strategy, complexities, and chaotic behavior can provide deeper insights to understand the complexity of the system in the presence of delay and diffusion.","PeriodicalId":54428,"journal":{"name":"Theory in Biosciences","volume":" ","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144546174","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"生物学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Analyzing the double-chain deoxyribonucleic acid model: bifurcation, chaos, and sensitivity insights through advanced analytical techniques. 分析双链脱氧核糖核酸模型：分岔，混沌，通过先进的分析技术的敏感性见解。

IF 1.3 4区生物学

Theory in Biosciences Pub Date : 2025-06-25 DOI: 10.1007/s12064-025-00439-6

Sadique Rehman, Aamir Farooq, H W A Riaz, Kamran Ullah Khan, Majid Hussain Shah, Muhammad Ramzan

{"title":"Analyzing the double-chain deoxyribonucleic acid model: bifurcation, chaos, and sensitivity insights through advanced analytical techniques.","authors":"Sadique Rehman, Aamir Farooq, H W A Riaz, Kamran Ullah Khan, Majid Hussain Shah, Muhammad Ramzan","doi":"10.1007/s12064-025-00439-6","DOIUrl":"https://doi.org/10.1007/s12064-025-00439-6","url":null,"abstract":"This study advances the understanding of genetic transmission by exploring the dynamic behavior of double-chain deoxyribonucleic acid (DNA) through a newly established dynamic model using the Galilean transformation. Using planar dynamical systems theory, we apply bifurcation techniques to reveal the model's sensitivity to initial conditions and assess its stability, supported by numerical simulations via the Runge-Kutta method. To explore chaotic dynamics, we introduce perturbations and perform a detailed analysis using two-phase portraiture, two-dimensional phase diagrams, and Lyapunov exponents. Furthermore, we derive novel soliton solutions using the improved generalized Riccati method and the double expansion technique. Graphical results generated in MATLAB illustrate key features such as bifurcation points, conditions for chaos, and the influence of perturbations, providing deeper insights into DNA dynamics. Overall, this research enhances theoretical understanding while bridging applied mathematics and experimental biology, offering valuable perspectives on the complex behavior of DNA.","PeriodicalId":54428,"journal":{"name":"Theory in Biosciences","volume":" ","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144487121","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"生物学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A generalized Price equation for fuzzy set-mappings. 模糊集映射的广义Price方程。

IF 1.3 4区生物学

Theory in Biosciences Pub Date : 2025-06-01 Epub Date: 2025-05-30 DOI: 10.1007/s12064-025-00438-7

Matthias Borgstede

引用次数: 0

Stability of density-dependent model with indirect feedback and biomass inhibition. 具有间接反馈和生物量抑制的密度依赖模型的稳定性。

IF 1.3 4区生物学

Theory in Biosciences Pub Date : 2025-06-01 Epub Date: 2025-06-05 DOI: 10.1007/s12064-025-00440-z

Nabil Ben Ali, Nahla Abdellatif

{"title":"Stability of density-dependent model with indirect feedback and biomass inhibition.","authors":"Nabil Ben Ali, Nahla Abdellatif","doi":"10.1007/s12064-025-00440-z","DOIUrl":"10.1007/s12064-025-00440-z","url":null,"abstract":"In this study, we conduct a mathematical and numerical investigation of a density-dependent model for the anaerobic digestion process, described by a system of four nonlinear ordinary differential equations, featuring an indirect feedback loop. Our analysis focuses on the acetogenesis and hydrogenotrophic methanogenesis phases. The model incorporates two microbial populations, acetogenic bacteria and hydrogenotrophic methanogens, and two substrates, volatile fatty acids (VFA) and hydrogen, with a specific emphasis on the inhibition of acetogen growth by methanogens. Using a broad class of nonmonotonic growth functions, we establish the necessary and sufficient conditions for the existence and stability of the system's steady states through rigorous mathematical analysis. Operating diagrams are constructed as functions of inlet substrate concentrations and the dilution rate. Numerical simulations further reveal the range of dynamic behaviors, highlighting the impact of methanogen-induced inhibition on acetogen dynamics. Contrary to the findings of Di and Yang in (JRSI 16:20180859, 2019), we demonstrate that when inhibition is sufficiently strong and VFA concentrations are high, the microbial community exhibits damped oscillations that converge to a positive steady state. These results illustrate the system's ability to stabilize at a coexistence equilibrium, even under the influence of an indirect feedback loop.","PeriodicalId":54428,"journal":{"name":"Theory in Biosciences","volume":" ","pages":"173-188"},"PeriodicalIF":1.3,"publicationDate":"2025-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144227651","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"生物学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0