Pub Date : 2023-11-17DOI: 10.1142/s0218339024500104
Sanjay Kumar Pandey, Anupam Kumar Pandey
{"title":"Flow in a catheterized exponentially diverging tube with a peripheral layer of different viscosity by means of peristaltic waves of dilating amplitude","authors":"Sanjay Kumar Pandey, Anupam Kumar Pandey","doi":"10.1142/s0218339024500104","DOIUrl":"https://doi.org/10.1142/s0218339024500104","url":null,"abstract":"","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139262923","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-11-17DOI: 10.1142/s0218339024500116
Tiancai Liao, Xinyang Ruan
{"title":"Deterministic and stochastic analysis of a size-dependent phytoplankton-zooplankton model with additive Allee effect","authors":"Tiancai Liao, Xinyang Ruan","doi":"10.1142/s0218339024500116","DOIUrl":"https://doi.org/10.1142/s0218339024500116","url":null,"abstract":"","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139263739","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-11-17DOI: 10.1142/s021833902450013x
Renee Maria Argana Marquez, Maria Seanna Cabero Minas, Jordan Vance Taitano Santos, Kangsan Yoon, V. N. Campo, Hyunju Oh, J. Rychtář, Dewey T. Taylor
{"title":"Game-theoretical model of COVID-19 vaccination in the endemic equilibrium","authors":"Renee Maria Argana Marquez, Maria Seanna Cabero Minas, Jordan Vance Taitano Santos, Kangsan Yoon, V. N. Campo, Hyunju Oh, J. Rychtář, Dewey T. Taylor","doi":"10.1142/s021833902450013x","DOIUrl":"https://doi.org/10.1142/s021833902450013x","url":null,"abstract":"","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139265215","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-11-03DOI: 10.1142/s021833902350050x
DAVID H. MARGARIT, MARCELA V. REALE, ARIEL F. SCAGLIOTTI, LILIA M. ROMANELLI
Cancer and its metastasis in children have a high degree of lethality and side effects, so its characteristics need to be studied independently of adult cancer. The aim of this work is to model the metastasis pathways of the main childhood cancers worldwide by Absorbing Markov Chains, an important mathematical tool used for different applications in science. Statistical information was collected to detect the main affected organs (primary sites) and those where cancer cells generally spread and metastasize (secondary sites). Taking into account that it is a branching process, a directed graph was developed, and the associated transition matrices for the first and second metastases were constructed. Organs whose cancers generally remain encapsulated and do not spread their cancer cells are considered absorbing states in terms of Markov processes. For the selected organs, the probability of ending up in each of the absorption states according to the primary site was calculated, as well as the number of possible previous metastases until reaching one of these states. Although the lung in childhood cancer is not a characteristic primary site, it is one of the main sites of metastasis. Therefore, this work dedicates a section to including this organ as a site of possible metastasis.
{"title":"ABSORBING MARKOV CHAINS TO CHARACTERIZE AND PREDICT METASTASIS PATHWAYS IN CHILDHOOD CANCER","authors":"DAVID H. MARGARIT, MARCELA V. REALE, ARIEL F. SCAGLIOTTI, LILIA M. ROMANELLI","doi":"10.1142/s021833902350050x","DOIUrl":"https://doi.org/10.1142/s021833902350050x","url":null,"abstract":"Cancer and its metastasis in children have a high degree of lethality and side effects, so its characteristics need to be studied independently of adult cancer. The aim of this work is to model the metastasis pathways of the main childhood cancers worldwide by Absorbing Markov Chains, an important mathematical tool used for different applications in science. Statistical information was collected to detect the main affected organs (primary sites) and those where cancer cells generally spread and metastasize (secondary sites). Taking into account that it is a branching process, a directed graph was developed, and the associated transition matrices for the first and second metastases were constructed. Organs whose cancers generally remain encapsulated and do not spread their cancer cells are considered absorbing states in terms of Markov processes. For the selected organs, the probability of ending up in each of the absorption states according to the primary site was calculated, as well as the number of possible previous metastases until reaching one of these states. Although the lung in childhood cancer is not a characteristic primary site, it is one of the main sites of metastasis. Therefore, this work dedicates a section to including this organ as a site of possible metastasis.","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135875257","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-31DOI: 10.1142/s021833902350047x
EDGARD LOURENÇO, DIEGO S. RODRIGUES, MARIA E. ANTUNES, PAULO F. A. MANCERA, GUILHERME RODRIGUES
We analyze biological processes interconnected to the tumor microenvironment development of non-small cell lung cancer (NSCLC), considering a proposed ordinary differential equation (ODE) model. The concepts of cancer as a disease, the cellular heterogeneity of the tumor microenvironment composition, and the macrophage cell epigenetic heterogeneity are presented, and the dynamics of the relations between them, the cytotoxic T cells and the neoplasm cells are explored. The apoptosis rate of the macrophage cells which present protumor characteristics is revealed as having a key role in the local stability of the ODE model. Furthermore, the hypothesis on the relevance of the CD8+ T cells in assisting the macrophage cells to control the tumor volume indicates a immunotherapeutic treatment possibility that considers both of these cells effectively.
{"title":"A SIMPLE MATHEMATICAL MODEL OF NON-SMALL CELL LUNG CANCER INVOLVING MACROPHAGES AND CD8+ T CELLS","authors":"EDGARD LOURENÇO, DIEGO S. RODRIGUES, MARIA E. ANTUNES, PAULO F. A. MANCERA, GUILHERME RODRIGUES","doi":"10.1142/s021833902350047x","DOIUrl":"https://doi.org/10.1142/s021833902350047x","url":null,"abstract":"We analyze biological processes interconnected to the tumor microenvironment development of non-small cell lung cancer (NSCLC), considering a proposed ordinary differential equation (ODE) model. The concepts of cancer as a disease, the cellular heterogeneity of the tumor microenvironment composition, and the macrophage cell epigenetic heterogeneity are presented, and the dynamics of the relations between them, the cytotoxic T cells and the neoplasm cells are explored. The apoptosis rate of the macrophage cells which present protumor characteristics is revealed as having a key role in the local stability of the ODE model. Furthermore, the hypothesis on the relevance of the CD8+ T cells in assisting the macrophage cells to control the tumor volume indicates a immunotherapeutic treatment possibility that considers both of these cells effectively.","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135871645","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-31DOI: 10.1142/s0218339023500481
ANES MOULAI-KHATIR, ALI MOUSSAOUI, PIERRE AUGER
We present a bioeconomic fishery model with variable price based on supply and demand. The model considers three variables: resource biomass, fishing effort, and market price. Rapid price changes classify the fishery system as a slow–fast system. Two main cases arise: catastrophic equilibrium (CE) with overexploitation and fish extinction, and a sustainable fishery equilibrium. We aim to determine conditions for maximum sustainable yield by optimizing cost per unit of fishing effort. Additionally, we explore conditions to prevent extinction and restore sustainable fishing. Marine protected areas (MPAs) can restore fish stocks by destabilizing the CE and maintaining a stable positive equilibrium. A model incorporating an MPA and fish movement is proposed, suggesting a small carrying capacity-to-surface area ratio in the fishing zone. Optimal total catch can be achieved by selecting the appropriate MPA surface area.
{"title":"MAXIMUM SUSTAINABLE YIELD FOR A FISHERY WITH VARIABLE PRICE","authors":"ANES MOULAI-KHATIR, ALI MOUSSAOUI, PIERRE AUGER","doi":"10.1142/s0218339023500481","DOIUrl":"https://doi.org/10.1142/s0218339023500481","url":null,"abstract":"We present a bioeconomic fishery model with variable price based on supply and demand. The model considers three variables: resource biomass, fishing effort, and market price. Rapid price changes classify the fishery system as a slow–fast system. Two main cases arise: catastrophic equilibrium (CE) with overexploitation and fish extinction, and a sustainable fishery equilibrium. We aim to determine conditions for maximum sustainable yield by optimizing cost per unit of fishing effort. Additionally, we explore conditions to prevent extinction and restore sustainable fishing. Marine protected areas (MPAs) can restore fish stocks by destabilizing the CE and maintaining a stable positive equilibrium. A model incorporating an MPA and fish movement is proposed, suggesting a small carrying capacity-to-surface area ratio in the fishing zone. Optimal total catch can be achieved by selecting the appropriate MPA surface area.","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135815172","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-23DOI: 10.1142/s0218339024500098
Anastasiya Yu. Dolinina, Marina V. Sysoeva, Clementina M. Van Rijn, Ilya V. Sysoev
{"title":"Frequency Synchronization Reveals that Spike-Wave Discharges in WAG/RIJ rats are Significantly Nonlinear Phenomenon","authors":"Anastasiya Yu. Dolinina, Marina V. Sysoeva, Clementina M. Van Rijn, Ilya V. Sysoev","doi":"10.1142/s0218339024500098","DOIUrl":"https://doi.org/10.1142/s0218339024500098","url":null,"abstract":"","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135366158","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-23DOI: 10.1142/s0218339024500074
Anuraj Singh, Deepak Tripathi, Yun Kang
{"title":"A Modified May Holling Tanner Model: The Role of Dynamic Alternative Resources on Species' Survival","authors":"Anuraj Singh, Deepak Tripathi, Yun Kang","doi":"10.1142/s0218339024500074","DOIUrl":"https://doi.org/10.1142/s0218339024500074","url":null,"abstract":"","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135366154","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Modeling and Analyzing Dynamic Information Propagation on Sina Weibo in a Semi-Directed Network","authors":"Fulian Yin, Yuwei She, Qianyi Yang, Hongyu Pang, Yanjing Huang, Jianhong Wu","doi":"10.1142/s0218339024500086","DOIUrl":"https://doi.org/10.1142/s0218339024500086","url":null,"abstract":"","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135366155","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-23DOI: 10.1142/s0218339024500062
Weiting Song, Shikun Wang, Yuanshi Wang
{"title":"Dispersal in prey-predator systems with prey's fear and predator's adaptive search","authors":"Weiting Song, Shikun Wang, Yuanshi Wang","doi":"10.1142/s0218339024500062","DOIUrl":"https://doi.org/10.1142/s0218339024500062","url":null,"abstract":"","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135366161","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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