Pub Date : 2020-09-01DOI: 10.1142/s1793048020500058
Yinan Zheng, Yusha Sun, G. Torga, K. Pienta, R. Austin
We describe an evolutionary game theory model that has been used to predict the population dynamics of interacting cancer and stromal cells. We first consider the mean field case assuming homogeneous and nondiscrete populations. Interacting Particle Systems (IPS) are then presented as a discrete and spatial alternative to the mean field approach. Finally, we discuss cases where IPS gives results different from the mean field approach.
{"title":"Game Theory Cancer Models of Cancer Cell-Stromal Cell Dynamics using Interacting Particle Systems","authors":"Yinan Zheng, Yusha Sun, G. Torga, K. Pienta, R. Austin","doi":"10.1142/s1793048020500058","DOIUrl":"https://doi.org/10.1142/s1793048020500058","url":null,"abstract":"We describe an evolutionary game theory model that has been used to predict the population dynamics of interacting cancer and stromal cells. We first consider the mean field case assuming homogeneous and nondiscrete populations. Interacting Particle Systems (IPS) are then presented as a discrete and spatial alternative to the mean field approach. Finally, we discuss cases where IPS gives results different from the mean field approach.","PeriodicalId":88835,"journal":{"name":"Biophysical reviews and letters","volume":"15 1","pages":"171-193"},"PeriodicalIF":0.0,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/s1793048020500058","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46005557","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Tumor invasion, the process by which tumor cells break away from their primary tumor and gain access to vascular systems, is an important step in cancer metastasis. Most current 3D tumor invasion assays consisted of single tumor cells embedded within an extracellular matrix (ECM). These assays taught us much of what we know today on how key biophysical (e.g. ECM stiffness) and biochemical (e.g. cytokine gradients) parameters within the tumor microenvironment guided and regulated tumor invasion. One limitation of the single tumor cell invasion assay was that it did not account for cell-cell adhesion within the tumor. In this article, we developed a micrometer scale 3D co-culture spheroid invasion assay that was compatible with microscopic imaging. Micrometer scale co-culture spheroids (1:1 ratio of metastatic breast cancer MDA-MB-231 and non-tumorigenic epithelial MCF-10A cells) were made using an array of microwells, and then were embedded within a collagen matrix in a microfluidic platform. Real time imaging of tumor spheroid invasion revealed that the spatial distribution of the two cell types within the tumor spheroid critically regulated tumor invasion. This work linked tumor architecture with tumor invasion and highlighted the importance of the biophysical cues within the bulk of the tumor in tumor invasion.
{"title":"The architecture of co-culture spheroids regulates tumor invasion within a 3D extracellular matrix.","authors":"Yu Ling Huang, Carina Shiau, Cindy Wu, Jeffrey E Segall, Mingming Wu","doi":"10.1142/s1793048020500034","DOIUrl":"https://doi.org/10.1142/s1793048020500034","url":null,"abstract":"<p><p>Tumor invasion, the process by which tumor cells break away from their primary tumor and gain access to vascular systems, is an important step in cancer metastasis. Most current 3D tumor invasion assays consisted of single tumor cells embedded within an extracellular matrix (ECM). These assays taught us much of what we know today on how key biophysical (e.g. ECM stiffness) and biochemical (e.g. cytokine gradients) parameters within the tumor microenvironment guided and regulated tumor invasion. One limitation of the single tumor cell invasion assay was that it did not account for cell-cell adhesion within the tumor. In this article, we developed a micrometer scale 3D co-culture spheroid invasion assay that was compatible with microscopic imaging. Micrometer scale co-culture spheroids (1:1 ratio of metastatic breast cancer MDA-MB-231 and non-tumorigenic epithelial MCF-10A cells) were made using an array of microwells, and then were embedded within a collagen matrix in a microfluidic platform. Real time imaging of tumor spheroid invasion revealed that the spatial distribution of the two cell types within the tumor spheroid critically regulated tumor invasion. This work linked tumor architecture with tumor invasion and highlighted the importance of the biophysical cues within the bulk of the tumor in tumor invasion.</p>","PeriodicalId":88835,"journal":{"name":"Biophysical reviews and letters","volume":"15 3","pages":"131-141"},"PeriodicalIF":0.0,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/s1793048020500034","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38570580","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-07-20DOI: 10.1142/s1793048020500046
J. Montemayor-Aldrete, Rafael F. Márquez-Caballé, M. D. Castillo-Mussot, Fidel Cruz-Peregrino
A simple and general thermodynamic theory is applied to describe the irreversible aspects of the continuous process of functional efficiency loss, which occurs in dissipative biological structures ...
应用一个简单而普遍的热力学理论来描述耗散生物结构中功能效率损失连续过程的不可逆方面。。。
{"title":"General Thermodynamic Efficiency Loss and Scaling Behavior of Eukaryotic Organisms","authors":"J. Montemayor-Aldrete, Rafael F. Márquez-Caballé, M. D. Castillo-Mussot, Fidel Cruz-Peregrino","doi":"10.1142/s1793048020500046","DOIUrl":"https://doi.org/10.1142/s1793048020500046","url":null,"abstract":"A simple and general thermodynamic theory is applied to describe the irreversible aspects of the continuous process of functional efficiency loss, which occurs in dissipative biological structures ...","PeriodicalId":88835,"journal":{"name":"Biophysical reviews and letters","volume":"34 3","pages":"143-169"},"PeriodicalIF":0.0,"publicationDate":"2020-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41294292","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-12-01DOI: 10.1142/s1793048019990017
Antonyan, A. P., see Vardevanyan, P. O. 14 (2019) 17 Bai, F. & Sun, R., A Theoretical Analysis of Receptor-Mediated Endocytosis of Nanoparticles in Wall Shear Flow 14 (2019) 75 Bilge, D., Civelek, N. & Özçelik Çetinel, Z., Investigations of Interactions between Altretamine and Model Membranes: Spectroscopic and Calorimetric Analysis 14 (2019) 197 Chakravarty, S., see Mukherjee, D. 14 (2019) 49 Chung, S.-H. & Roper, M., Generalized Langevin Equation: An Introductory Review for Biophysicists 14 (2019) 171 Civelek, N., see Bilge, D. 14 (2019) 197 Guin, L. N., see Mukherjee, D. 14 (2019) 49 Maroudas, M., see Zioutas, K. 14 (2019) 11 Mikaelyan, M. S., see Vardevanyan, P. O. 14 (2019) 17 Mondal, A., Pal, A. K. & Samanta, G. P., Analysis of a Delayed EcoEpidemiological Pest Plant Model with Infected Pest 14 (2019) 141 Mukherjee, D., Guin, L. N. & Chakravarty, S., Dynamical Response of Atherosclerotic Plaque Through Mathematical Model 14 (2019) 49 Mukhopadhyay, D. & Pal, S., E±cacy of Isolation as a Control Strategy for Ebola Outbreaks in Combination with Vaccination 14 (2019) 115 Özçelik Çetinel, Z., see Bilge, D. 14 (2019) 197 Pal, A. K., see Mondal, A. 14 (2019) 141 Pal, S., see Mukhopadhyay, D. 14 (2019) 115 Panja, P., Optimal Control Analysis of a Cholera Epidemic Model 14 (2019) 27 Parsadanyan, M. A., see Vardevanyan, P. O. 14 (2019) 17 Roper, M., see Chung, S.-H. 14 (2019) 171 Samanta, G. P., see Mondal, A. 14 (2019) 141 Shahinyan, M. A., see Vardevanyan, P. O. 14 (2019) 17 Socas-Navarro, H., On the Connection between Planets, Dark Matter and Cancer: Comment on Planetary Dependence of Melanoma" 14 (2019) 1 Sun, R., see Bai, F. 14 (2019) 75 Valachovic, E., see Zioutas, K. 14 (2019) 11 Vardevanyan, P. O., Antonyan, A. P., Parsadanyan, M. A., Shahinyan, M. A. & Mikaelyan, M. S., Study of Methylene Blue Interaction with Human Serum Albumin 14 (2019) 17 Zhdanov, V. P., Kinetic Aspects of the Interplay of Cancer and the Immune System 14 (2019) 101 Zioutas, K., Valachovic, E. & Maroudas, M., Response to Comment on Planetary Dependence of Melanoma" 14 (2019) 11 Biophysical Reviews and Letters Vol. 14, No. 4 (2019) 217 #.c World Scienti ̄c Publishing Company DOI: 10.1142/S1793048019990017
{"title":"Author Index Volume 14 (2019)","authors":"","doi":"10.1142/s1793048019990017","DOIUrl":"https://doi.org/10.1142/s1793048019990017","url":null,"abstract":"Antonyan, A. P., see Vardevanyan, P. O. 14 (2019) 17 Bai, F. & Sun, R., A Theoretical Analysis of Receptor-Mediated Endocytosis of Nanoparticles in Wall Shear Flow 14 (2019) 75 Bilge, D., Civelek, N. & Özçelik Çetinel, Z., Investigations of Interactions between Altretamine and Model Membranes: Spectroscopic and Calorimetric Analysis 14 (2019) 197 Chakravarty, S., see Mukherjee, D. 14 (2019) 49 Chung, S.-H. & Roper, M., Generalized Langevin Equation: An Introductory Review for Biophysicists 14 (2019) 171 Civelek, N., see Bilge, D. 14 (2019) 197 Guin, L. N., see Mukherjee, D. 14 (2019) 49 Maroudas, M., see Zioutas, K. 14 (2019) 11 Mikaelyan, M. S., see Vardevanyan, P. O. 14 (2019) 17 Mondal, A., Pal, A. K. & Samanta, G. P., Analysis of a Delayed EcoEpidemiological Pest Plant Model with Infected Pest 14 (2019) 141 Mukherjee, D., Guin, L. N. & Chakravarty, S., Dynamical Response of Atherosclerotic Plaque Through Mathematical Model 14 (2019) 49 Mukhopadhyay, D. & Pal, S., E±cacy of Isolation as a Control Strategy for Ebola Outbreaks in Combination with Vaccination 14 (2019) 115 Özçelik Çetinel, Z., see Bilge, D. 14 (2019) 197 Pal, A. K., see Mondal, A. 14 (2019) 141 Pal, S., see Mukhopadhyay, D. 14 (2019) 115 Panja, P., Optimal Control Analysis of a Cholera Epidemic Model 14 (2019) 27 Parsadanyan, M. A., see Vardevanyan, P. O. 14 (2019) 17 Roper, M., see Chung, S.-H. 14 (2019) 171 Samanta, G. P., see Mondal, A. 14 (2019) 141 Shahinyan, M. A., see Vardevanyan, P. O. 14 (2019) 17 Socas-Navarro, H., On the Connection between Planets, Dark Matter and Cancer: Comment on Planetary Dependence of Melanoma\" 14 (2019) 1 Sun, R., see Bai, F. 14 (2019) 75 Valachovic, E., see Zioutas, K. 14 (2019) 11 Vardevanyan, P. O., Antonyan, A. P., Parsadanyan, M. A., Shahinyan, M. A. & Mikaelyan, M. S., Study of Methylene Blue Interaction with Human Serum Albumin 14 (2019) 17 Zhdanov, V. P., Kinetic Aspects of the Interplay of Cancer and the Immune System 14 (2019) 101 Zioutas, K., Valachovic, E. & Maroudas, M., Response to Comment on Planetary Dependence of Melanoma\" 14 (2019) 11 Biophysical Reviews and Letters Vol. 14, No. 4 (2019) 217 #.c World Scienti ̄c Publishing Company DOI: 10.1142/S1793048019990017","PeriodicalId":88835,"journal":{"name":"Biophysical reviews and letters","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44851514","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-12-01DOI: 10.1142/s1793048019300019
Shin-Ho Chung, M. Roper
An introductory, pedagogical review of the generalized Langevin equation (GLE) within the classical regime is presented. It is intended to be accessible to biophysicists with an interest in molecul...
介绍，教学回顾广义朗之万方程(GLE)在经典制度提出。它的目的是为生物物理学家与感兴趣的分子…
{"title":"Generalized Langevin Equation: An Introductory Review for Biophysicists","authors":"Shin-Ho Chung, M. Roper","doi":"10.1142/s1793048019300019","DOIUrl":"https://doi.org/10.1142/s1793048019300019","url":null,"abstract":"An introductory, pedagogical review of the generalized Langevin equation (GLE) within the classical regime is presented. It is intended to be accessible to biophysicists with an interest in molecul...","PeriodicalId":88835,"journal":{"name":"Biophysical reviews and letters","volume":"14 1","pages":"171-196"},"PeriodicalIF":0.0,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/s1793048019300019","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48580166","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-11-25DOI: 10.1142/s179304801950005x
Debkusum Mukhopadhyay, Samares Pal
In this research work, we have developed and analyzed a deterministic epidemiological model with a system of nonlinear differential equations for controlling the spread of Ebola virus disease (EVD) in a population with vital dynamics (where birth and death rates are not equal). The model examines the disease transmission dynamics with isolation from exposed and infected human class and effect of vaccination in susceptible human population through stability analysis and bifurcation analysis. The model exhibits two steady state equilibria, namely, disease-free and endemic equilibrium. Next generation matrix method is used to find the expression for [Formula: see text] (the basic reproduction number). Local and global stability of diseases-free equilibrium are shown using nonsingular M-matrix technique and Lyapunov’s theorem, respectively. The existence and local stability of endemic equilibrium are explored under certain conditions. All numerical data entries are supported by various authentic sources. The simulation study is done using MATLAB code 45 which uses Runge–Kutta method of fourth order and we plot the time series and bifurcation diagrams which support our analytical findings. Stability analysis of the model shows that the disease-free equilibrium is locally as well as globally asymptotically stable if [Formula: see text] and endemic equilibrium is locally asymptotically stable in absence of vaccination if [Formula: see text]. Using central manifold theorem, the presence of transcritical bifurcation for a threshold value of the transmission rate parameter [Formula: see text] when [Formula: see text] passes through unity and backward bifurcation (i.e. transcritical bifurcation in opposite direction) for some higher value of [Formula: see text] are established. Our simulation study shows that isolation of exposed and infected individuals can be used as a more effective tool to control the spreading of EVD than only vaccination.
{"title":"Efficacy of Isolation as a Control Strategy for Ebola Outbreaks in Combination with Vaccination","authors":"Debkusum Mukhopadhyay, Samares Pal","doi":"10.1142/s179304801950005x","DOIUrl":"https://doi.org/10.1142/s179304801950005x","url":null,"abstract":"In this research work, we have developed and analyzed a deterministic epidemiological model with a system of nonlinear differential equations for controlling the spread of Ebola virus disease (EVD) in a population with vital dynamics (where birth and death rates are not equal). The model examines the disease transmission dynamics with isolation from exposed and infected human class and effect of vaccination in susceptible human population through stability analysis and bifurcation analysis. The model exhibits two steady state equilibria, namely, disease-free and endemic equilibrium. Next generation matrix method is used to find the expression for [Formula: see text] (the basic reproduction number). Local and global stability of diseases-free equilibrium are shown using nonsingular M-matrix technique and Lyapunov’s theorem, respectively. The existence and local stability of endemic equilibrium are explored under certain conditions. All numerical data entries are supported by various authentic sources. The simulation study is done using MATLAB code 45 which uses Runge–Kutta method of fourth order and we plot the time series and bifurcation diagrams which support our analytical findings. Stability analysis of the model shows that the disease-free equilibrium is locally as well as globally asymptotically stable if [Formula: see text] and endemic equilibrium is locally asymptotically stable in absence of vaccination if [Formula: see text]. Using central manifold theorem, the presence of transcritical bifurcation for a threshold value of the transmission rate parameter [Formula: see text] when [Formula: see text] passes through unity and backward bifurcation (i.e. transcritical bifurcation in opposite direction) for some higher value of [Formula: see text] are established. Our simulation study shows that isolation of exposed and infected individuals can be used as a more effective tool to control the spreading of EVD than only vaccination.","PeriodicalId":88835,"journal":{"name":"Biophysical reviews and letters","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/s179304801950005x","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44505046","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-09-26DOI: 10.1142/S1793048019500036
D. Mukherjee, Lakshmi Narayan Guin, S. Chakravarty
The present paper concerns itself with the dynamical response of the formation of atherosclerotic plaque arising from the interactions among various cellular components in arteries. An appropriate mathematical model is framed to articulate the involvement of several key cellular components like LDLs, HDLs, radicals, oxidized LDLs, chemo-attractants, etc. in terms of a large system of nonlinear ordinary differential equations. The present dynamical model bears the potential to have global stability and hence it furnishes a comprehensible essence for in silico studies on the onset of atherosclerotic plaque. Quasi steady state approximation (QSSA) theory is inducted for reduction of the larger system to a smaller one compliant with an in-depth study regarding its stability and bifurcation analytically. Special emphasis is put on the significant role of arterial radius in the process of disposition of atherosclerotic plaque by contending with the variability of wall shear stress (WSS). The applicability of the model is validated through numerically computed results based on existing parameter values so as to ascertain the implications of the biochemical process of arteriosclerotic plaque formation.
{"title":"Dynamical Response of Atherosclerotic Plaque Through Mathematical Model","authors":"D. Mukherjee, Lakshmi Narayan Guin, S. Chakravarty","doi":"10.1142/S1793048019500036","DOIUrl":"https://doi.org/10.1142/S1793048019500036","url":null,"abstract":"The present paper concerns itself with the dynamical response of the formation of atherosclerotic plaque arising from the interactions among various cellular components in arteries. An appropriate mathematical model is framed to articulate the involvement of several key cellular components like LDLs, HDLs, radicals, oxidized LDLs, chemo-attractants, etc. in terms of a large system of nonlinear ordinary differential equations. The present dynamical model bears the potential to have global stability and hence it furnishes a comprehensible essence for in silico studies on the onset of atherosclerotic plaque. Quasi steady state approximation (QSSA) theory is inducted for reduction of the larger system to a smaller one compliant with an in-depth study regarding its stability and bifurcation analytically. Special emphasis is put on the significant role of arterial radius in the process of disposition of atherosclerotic plaque by contending with the variability of wall shear stress (WSS). The applicability of the model is validated through numerically computed results based on existing parameter values so as to ascertain the implications of the biochemical process of arteriosclerotic plaque formation.","PeriodicalId":88835,"journal":{"name":"Biophysical reviews and letters","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/S1793048019500036","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45692714","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-09-26DOI: 10.1142/s1793048019500048
F. Bai, R. Sun
This study theoretically investigates receptor–ligand-mediated endocytosis of nanoparticles (NPs) in wall shear flow. The endocytosis is modeled as a birth–death process and relationships between coefficients in the model and the wall shear rate have been derived to deal with the effects of the shear flow. Model predictions show that flow-induced alteration in bond formation rates does not affect the endocytosis significantly, and the suppression of hydrodynamic load on endocytosis is eminent only when diameters of NPs are large (around 700[Formula: see text]nm) and the shear rate is sufficiently high. In the latter case, it is shown that the hydrodynamic load suppresses the initial attachment of NPs to cells more than the following internalization. The model also predicts that shear-promoted expression of certain ligands can lead to observable increase in the number of endocytozed NPs in typical flow-chamber experiments, and the promotion can also cause selective endocytosis of NPs by cells at high shear rate regions if the ligand surface density on NPs or the original expression of receptors on cells in the absence of flow is low.
{"title":"A Theoretical Analysis of Receptor-Mediated Endocytosis of Nanoparticles in Wall Shear Flow","authors":"F. Bai, R. Sun","doi":"10.1142/s1793048019500048","DOIUrl":"https://doi.org/10.1142/s1793048019500048","url":null,"abstract":"This study theoretically investigates receptor–ligand-mediated endocytosis of nanoparticles (NPs) in wall shear flow. The endocytosis is modeled as a birth–death process and relationships between coefficients in the model and the wall shear rate have been derived to deal with the effects of the shear flow. Model predictions show that flow-induced alteration in bond formation rates does not affect the endocytosis significantly, and the suppression of hydrodynamic load on endocytosis is eminent only when diameters of NPs are large (around 700[Formula: see text]nm) and the shear rate is sufficiently high. In the latter case, it is shown that the hydrodynamic load suppresses the initial attachment of NPs to cells more than the following internalization. The model also predicts that shear-promoted expression of certain ligands can lead to observable increase in the number of endocytozed NPs in typical flow-chamber experiments, and the promotion can also cause selective endocytosis of NPs by cells at high shear rate regions if the ligand surface density on NPs or the original expression of receptors on cells in the absence of flow is low.","PeriodicalId":88835,"journal":{"name":"Biophysical reviews and letters","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/s1793048019500048","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48126626","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-09-01DOI: 10.1142/s1793048019500061
A. Mondal, A. K. Pal, G. Samanta
This work describes a delayed pest–plant ecological model with infection in the pest population. The interactions between plant and susceptible pest and also between susceptible and infected pest are taken as Holling type II responses. Well-posedness of the system has been discussed. Stability analysis of all equilibria has been performed. The effect of time-delay has been studied, where the delay may be regarded as the incubation period of the infected pest. Existence of a Hopf-bifurcation around interior equilibrium has been established by considering the amount of delay as bifurcation parameter. The length of delay is estimated for which the stability continues to hold. Numerical simulation with a hypothetical set of data has been presented to validate analytical findings.
{"title":"Analysis of a Delayed Eco-Epidemiological Pest–Plant Model with Infected Pest","authors":"A. Mondal, A. K. Pal, G. Samanta","doi":"10.1142/s1793048019500061","DOIUrl":"https://doi.org/10.1142/s1793048019500061","url":null,"abstract":"This work describes a delayed pest–plant ecological model with infection in the pest population. The interactions between plant and susceptible pest and also between susceptible and infected pest are taken as Holling type II responses. Well-posedness of the system has been discussed. Stability analysis of all equilibria has been performed. The effect of time-delay has been studied, where the delay may be regarded as the incubation period of the infected pest. Existence of a Hopf-bifurcation around interior equilibrium has been established by considering the amount of delay as bifurcation parameter. The length of delay is estimated for which the stability continues to hold. Numerical simulation with a hypothetical set of data has been presented to validate analytical findings.","PeriodicalId":88835,"journal":{"name":"Biophysical reviews and letters","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/s1793048019500061","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44729352","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-03-21DOI: 10.1142/S1793048019500012
P. O. Vardevanyan, A. Antonyan, M. Parsadanyan, M. Shahinyan, M. Mikaelyan
The thiosine dye methylene blue (MB) interaction with human serum albumin (HSA) has been studied. MB was revealed to stabilize the native structure of HSA, since the denaturation temperature of the complexes is shifted to higher values in relation to that of the pure protein. It was also revealed that the absorption spectra of the complexes do not change noticeably, while in the fluorescence spectra the maximal intensity of MB decreases with the albumin concentration enhancement. Analysis of the obtained data allows to conclude that the main binding mode of MB to HSA, providing the stabilization of the protein native structure, is the electrostatic mechanism.
{"title":"Study of Methylene Blue Interaction with Human Serum Albumin","authors":"P. O. Vardevanyan, A. Antonyan, M. Parsadanyan, M. Shahinyan, M. Mikaelyan","doi":"10.1142/S1793048019500012","DOIUrl":"https://doi.org/10.1142/S1793048019500012","url":null,"abstract":"The thiosine dye methylene blue (MB) interaction with human serum albumin (HSA) has been studied. MB was revealed to stabilize the native structure of HSA, since the denaturation temperature of the complexes is shifted to higher values in relation to that of the pure protein. It was also revealed that the absorption spectra of the complexes do not change noticeably, while in the fluorescence spectra the maximal intensity of MB decreases with the albumin concentration enhancement. Analysis of the obtained data allows to conclude that the main binding mode of MB to HSA, providing the stabilization of the protein native structure, is the electrostatic mechanism.","PeriodicalId":88835,"journal":{"name":"Biophysical reviews and letters","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/S1793048019500012","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45032607","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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