Pub Date : 2023-08-10DOI: 10.1088/1478-3975/acea4e
Marta Biondo, Abhyudai Singh, Michele Caselle, Matteo Osella
Cell-to-cell variability in protein concentrations is strongly affected by extrinsic noise, especially for highly expressed genes. Extrinsic noise can be due to fluctuations of several possible cellular factors connected to cell physiology and to the level of key enzymes in the expression process. However, how to identify the predominant sources of extrinsic noise in a biological system is still an open question. This work considers a general stochastic model of gene expression with extrinsic noise represented as fluctuations of the different model rates, and focuses on the out-of-equilibrium expression dynamics. Combining analytical calculations with stochastic simulations, we characterize how extrinsic noise shapes the protein variability during gene activation or inactivation, depending on the prevailing source of extrinsic variability, on its intensity and timescale. In particular, we show that qualitatively different noise profiles can be identified depending on which are the fluctuating parameters. This indicates an experimentally accessible way to pinpoint the dominant sources of extrinsic noise using time-coarse experiments.
{"title":"Out-of-equilibrium gene expression fluctuations in the presence of extrinsic noise.","authors":"Marta Biondo, Abhyudai Singh, Michele Caselle, Matteo Osella","doi":"10.1088/1478-3975/acea4e","DOIUrl":"10.1088/1478-3975/acea4e","url":null,"abstract":"<p><p>Cell-to-cell variability in protein concentrations is strongly affected by extrinsic noise, especially for highly expressed genes. Extrinsic noise can be due to fluctuations of several possible cellular factors connected to cell physiology and to the level of key enzymes in the expression process. However, how to identify the predominant sources of extrinsic noise in a biological system is still an open question. This work considers a general stochastic model of gene expression with extrinsic noise represented as fluctuations of the different model rates, and focuses on the out-of-equilibrium expression dynamics. Combining analytical calculations with stochastic simulations, we characterize how extrinsic noise shapes the protein variability during gene activation or inactivation, depending on the prevailing source of extrinsic variability, on its intensity and timescale. In particular, we show that qualitatively different noise profiles can be identified depending on which are the fluctuating parameters. This indicates an experimentally accessible way to pinpoint the dominant sources of extrinsic noise using time-coarse experiments.</p>","PeriodicalId":20207,"journal":{"name":"Physical biology","volume":"20 5","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10680095/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10020854","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"生物学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-04DOI: 10.1088/1478-3975/ace8e5
Swayamshree Senapati, Inayat Ullah Irshad, Ajeet K Sharma, Hemant Kumar
Eukaryotic chromosomes exhibit a hierarchical organization that spans a spectrum of length scales, ranging from sub-regions known as loops, which typically comprise hundreds of base pairs, to much larger chromosome territories that can encompass a few mega base pairs. Chromosome conformation capture experiments that involve high-throughput sequencing methods combined with microscopy techniques have enabled a new understanding of inter- and intra-chromosomal interactions with unprecedented details. This information also provides mechanistic insights on the relationship between genome architecture and gene expression. In this article, we review the recent findings on three-dimensional interactions among chromosomes at the compartment, topologically associating domain, and loop levels and the impact of these interactions on the transcription process. We also discuss current understanding of various biophysical processes involved in multi-layer structural organization of chromosomes. Then, we discuss the relationships between gene expression and genome structure from perturbative genome-wide association studies. Furthermore, for a better understanding of how chromosome architecture and function are linked, we emphasize the role of epigenetic modifications in the regulation of gene expression. Such an understanding of the relationship between genome architecture and gene expression can provide a new perspective on the range of potential future discoveries and therapeutic research.
{"title":"Fundamental insights into the correlation between chromosome configuration and transcription.","authors":"Swayamshree Senapati, Inayat Ullah Irshad, Ajeet K Sharma, Hemant Kumar","doi":"10.1088/1478-3975/ace8e5","DOIUrl":"https://doi.org/10.1088/1478-3975/ace8e5","url":null,"abstract":"<p><p>Eukaryotic chromosomes exhibit a hierarchical organization that spans a spectrum of length scales, ranging from sub-regions known as loops, which typically comprise hundreds of base pairs, to much larger chromosome territories that can encompass a few mega base pairs. Chromosome conformation capture experiments that involve high-throughput sequencing methods combined with microscopy techniques have enabled a new understanding of inter- and intra-chromosomal interactions with unprecedented details. This information also provides mechanistic insights on the relationship between genome architecture and gene expression. In this article, we review the recent findings on three-dimensional interactions among chromosomes at the compartment, topologically associating domain, and loop levels and the impact of these interactions on the transcription process. We also discuss current understanding of various biophysical processes involved in multi-layer structural organization of chromosomes. Then, we discuss the relationships between gene expression and genome structure from perturbative genome-wide association studies. Furthermore, for a better understanding of how chromosome architecture and function are linked, we emphasize the role of epigenetic modifications in the regulation of gene expression. Such an understanding of the relationship between genome architecture and gene expression can provide a new perspective on the range of potential future discoveries and therapeutic research.</p>","PeriodicalId":20207,"journal":{"name":"Physical biology","volume":"20 5","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"9969063","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}
In the brain, both neurons and glial cells work in conjunction with each other during information processing. Stimulation of neurons can induce calcium oscillations in astrocytes which in turn can affect neuronal calcium dynamics. The 'glissandi' effect is one such phenomenon, associated with a decrease in infraslow fluctuations, in which synchronized calcium oscillations propagate as a wave in hundreds of astrocytes. Nitric oxide molecules released from the astrocytes contribute to synaptic functions based on the underlying astrocyte-neuron interaction network. In this study, by defining an astrocyte-neuronal (A-N) calcium unit as an integrated circuit of one neuron and one astrocyte, we developed a minimal model of neuronal stimulus-dependent and NO-mediated emergence of calcium waves in astrocytes. Incorporating inter-unit communicationviaNO molecules, a coupled network of 1000 such A-N calcium units is developed in which multiple stable regimes were found to emerge in astrocytes. We examined the ranges of neuronal stimulus strength and the coupling strength between A-N calcium units that give rise to such dynamical behaviors. We also report that there exists a range of coupling strength, wherein units not receiving stimulus also start showing oscillations and become synchronized. Our results support the hypothesis that glissandi-like phenomena exhibiting synchronized calcium oscillations in astrocytes help in efficient synaptic transmission by reducing the energy demand of the process.
{"title":"Emergent dynamics in an astrocyte-neuronal network coupled<i>via</i>nitric oxide.","authors":"Bhanu Sharma, Spandan Kumar, Subhendu Ghosh, Vikram Singh","doi":"10.1088/1478-3975/ace8e6","DOIUrl":"https://doi.org/10.1088/1478-3975/ace8e6","url":null,"abstract":"<p><p>In the brain, both neurons and glial cells work in conjunction with each other during information processing. Stimulation of neurons can induce calcium oscillations in astrocytes which in turn can affect neuronal calcium dynamics. The 'glissandi' effect is one such phenomenon, associated with a decrease in infraslow fluctuations, in which synchronized calcium oscillations propagate as a wave in hundreds of astrocytes. Nitric oxide molecules released from the astrocytes contribute to synaptic functions based on the underlying astrocyte-neuron interaction network. In this study, by defining an astrocyte-neuronal (A-N) calcium unit as an integrated circuit of one neuron and one astrocyte, we developed a minimal model of neuronal stimulus-dependent and NO-mediated emergence of calcium waves in astrocytes. Incorporating inter-unit communication<i>via</i>NO molecules, a coupled network of 1000 such A-N calcium units is developed in which multiple stable regimes were found to emerge in astrocytes. We examined the ranges of neuronal stimulus strength and the coupling strength between A-N calcium units that give rise to such dynamical behaviors. We also report that there exists a range of coupling strength, wherein units not receiving stimulus also start showing oscillations and become synchronized. Our results support the hypothesis that glissandi-like phenomena exhibiting synchronized calcium oscillations in astrocytes help in efficient synaptic transmission by reducing the energy demand of the process.</p>","PeriodicalId":20207,"journal":{"name":"Physical biology","volume":"20 5","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10318244","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}
Pub Date : 2023-07-28DOI: 10.1088/1478-3975/ace8e7
Fabio Cecconi, Giulio Costantini, Carlo Guardiani, Marco Baldovin, Angelo Vulpiani
Fabio Cecconi1,2,∗, Giulio Costantini, Carlo Guardiani, Marco Baldovin and Angelo Vulpiani 1 CNR-Istituto dei Sistemi Complessi, Via dei Taurini 19, 00185 Rome, Italy 2 INFN-Sezione di Roma1, P.le Aldo Moro, 2, 00185 Rome, Italy 3 CNR-Istituto dei Sistemi Complessi, Piazzale A. Moro 5, 00185 Rome, Italy 4 Dipartimento di Ingegneria Meccanica e Aerospaziale, Sapienza Universit̀a di Roma, Via Eudossiana 18, 00184 Rome, Italy 5 CNRS, LPTMS, Université Paris-Saclay, 530 Rue André Riviére, 91405 Orsay, France 6 Dipartimento di Fisica, Universit̀a di Roma Sapienza, P.le Aldo Moro 5, 00185 Rome, Italy ∗ Author to whom any correspondence should be addressed.
{"title":"Corrigendum: Correlation, response and entropy approaches to allosteric behaviors: a critical comparison on the ubiquitin case (2023<i>Phys. Biol.</i>20056002).","authors":"Fabio Cecconi, Giulio Costantini, Carlo Guardiani, Marco Baldovin, Angelo Vulpiani","doi":"10.1088/1478-3975/ace8e7","DOIUrl":"https://doi.org/10.1088/1478-3975/ace8e7","url":null,"abstract":"Fabio Cecconi1,2,∗, Giulio Costantini, Carlo Guardiani, Marco Baldovin and Angelo Vulpiani 1 CNR-Istituto dei Sistemi Complessi, Via dei Taurini 19, 00185 Rome, Italy 2 INFN-Sezione di Roma1, P.le Aldo Moro, 2, 00185 Rome, Italy 3 CNR-Istituto dei Sistemi Complessi, Piazzale A. Moro 5, 00185 Rome, Italy 4 Dipartimento di Ingegneria Meccanica e Aerospaziale, Sapienza Universit̀a di Roma, Via Eudossiana 18, 00184 Rome, Italy 5 CNRS, LPTMS, Université Paris-Saclay, 530 Rue André Riviére, 91405 Orsay, France 6 Dipartimento di Fisica, Universit̀a di Roma Sapienza, P.le Aldo Moro 5, 00185 Rome, Italy ∗ Author to whom any correspondence should be addressed.","PeriodicalId":20207,"journal":{"name":"Physical biology","volume":"20 5","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"9874249","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}
Pub Date : 2023-07-28DOI: 10.1088/1478-3975/ace751
Eleonora Moratto, Stephen Rothery, Tolga O Bozkurt, Giovanni Sena
Soil-dwelling microorganisms use a variety of chemical and physical signals to navigate their environment. Plant roots produce endogenous electric fields which result in characteristic current profiles. Such electrical signatures are hypothesised to be used by pathogens and symbionts to track and colonise plant roots. The oomycete pathogenPhytophthora palmivoragenerates motile zoospores which swim towards the positive pole when exposed to an external electric fieldin vitro. Here, we provide a quantitative characterization of their electrotactic behaviour in 3D. We found that a weak electric field (0.7-1.0 V cm-1) is sufficient to induce an accumulation of zoospore at the positive pole, without affecting their encystment rate. We also show that the same external electric field increases the zoospore germination rate and orients the germ tube's growth. We conclude that several early stages of theP. palmivorainfection cycle are affected by external electric fields. Taken together, our results are compatible with the hypothesis that pathogens use plant endogenous electric fields for host targeting.
生活在土壤中的微生物利用各种化学和物理信号在环境中穿行。植物根系产生内源电场,产生特征电流分布。这种电特征被假设为病原体和共生体用来追踪和定居植物的根。卵菌病原棕榈疫霉产生可运动的游动孢子,当暴露在体外的外部电场中时,游动孢子向正极游去。在这里,我们在3D中提供了它们的电策略行为的定量表征。我们发现,一个弱电场(0.7-1.0 V cm-1)足以在正极诱导zoospore的积累,而不影响它们的成囊率。我们还发现,相同的外电场能提高游动孢子的发芽率,并使胚管的生长有方向性。我们的结论是,几个早期阶段的p。手掌感染周期受外电场的影响。综上所述,我们的结果与病原体利用植物内源电场靶向宿主的假设是一致的。
{"title":"Enhanced germination and electrotactic behaviour of<i>Phytophthora palmivora</i>zoospores in weak electric fields.","authors":"Eleonora Moratto, Stephen Rothery, Tolga O Bozkurt, Giovanni Sena","doi":"10.1088/1478-3975/ace751","DOIUrl":"https://doi.org/10.1088/1478-3975/ace751","url":null,"abstract":"<p><p>Soil-dwelling microorganisms use a variety of chemical and physical signals to navigate their environment. Plant roots produce endogenous electric fields which result in characteristic current profiles. Such electrical signatures are hypothesised to be used by pathogens and symbionts to track and colonise plant roots. The oomycete pathogen<i>Phytophthora palmivora</i>generates motile zoospores which swim towards the positive pole when exposed to an external electric field<i>in vitro</i>. Here, we provide a quantitative characterization of their electrotactic behaviour in 3D. We found that a weak electric field (0.7-1.0 V cm<sup>-1</sup>) is sufficient to induce an accumulation of zoospore at the positive pole, without affecting their encystment rate. We also show that the same external electric field increases the zoospore germination rate and orients the germ tube's growth. We conclude that several early stages of the<i>P. palmivora</i>infection cycle are affected by external electric fields. Taken together, our results are compatible with the hypothesis that pathogens use plant endogenous electric fields for host targeting.</p>","PeriodicalId":20207,"journal":{"name":"Physical biology","volume":"20 5","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10293624","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}
Pub Date : 2023-07-26DOI: 10.1088/1478-3975/ace750
Jarosław Paturej, Aykut Erbaş
Interphase chromosomes are known to organize non-randomly in the micron-sized eukaryotic cell nucleus and occupy certain fraction of nuclear volume, often without mixing. Using extensive coarse-grained simulations, we model such chromosome structures as colloidal particles whose surfaces are grafted by cyclic polymers. This model system is known as Rosetta. The cyclic polymers, with varying polymerization degrees, mimic chromatin loops present in interphase chromosomes, while the rigid core models the chromocenter section of the chromosome. Our simulations show that the colloidal chromosome model provides a well-separated particle distribution without specific attraction between the chain monomers. As the polymerization degree of the grafted cyclic chains decreases while maintaining the total chromosomal length (e.g. the more potent activity of condensin-family proteins), the average chromosomal volume becomes smaller, inter-chromosomal contacts decrease, and chromocenters organize in a quasi-crystalline order reminiscent of a glassy state. This order weakens for polymer chains with a characteristic size on the order of the confinement radius. Notably, linear-polymer grafted particles also provide the same chromocenter organization scheme. However, unlike linear chains, cyclic chains result in less contact between the polymer layers of neighboring chromosome particles, demonstrating the effect of DNA breaks in altering genome-wide contacts. Our simulations show that polymer-grafted colloidal systems could help decipher 3D genome architecture along with the fractal globular and loop-extrusion models.
众所周知,相间染色体在微米大小的真核细胞核内非随机地组织起来,并占据一定的核体积,通常不会混合。通过大量粗粒度模拟,我们将这种染色体结构模拟为表面由环状聚合物接枝的胶体颗粒。这个模型系统被称为 Rosetta。不同聚合度的环状聚合物模拟了染色体间期的染色质环,而刚性核心则模拟了染色体的染色质中心部分。我们的模拟结果表明,胶体染色体模型提供了一种分离良好的颗粒分布,链单体之间没有特定的吸引力。在保持染色体总长度的同时,随着接枝环链聚合度的降低(例如,凝集素家族蛋白的活性更强),染色体的平均体积会变小,染色体间的接触会减少,染色体中心会组织成类似玻璃态的准结晶秩序。当聚合物链的特征尺寸与约束半径相当时,这种有序性会减弱。值得注意的是,线性聚合物接枝颗粒也提供了相同的色心组织方案。然而,与线性链不同的是,环状链会导致相邻染色体颗粒的聚合物层之间的接触减少,这证明了 DNA 断裂在改变全基因组接触方面的作用。我们的模拟结果表明,聚合物接枝胶体系统与分形球状模型和环状挤出模型一样,有助于破译三维基因组结构。
{"title":"Cyclic-polymer grafted colloids in spherical confinement: insights for interphase chromosome organization.","authors":"Jarosław Paturej, Aykut Erbaş","doi":"10.1088/1478-3975/ace750","DOIUrl":"10.1088/1478-3975/ace750","url":null,"abstract":"<p><p>Interphase chromosomes are known to organize non-randomly in the micron-sized eukaryotic cell nucleus and occupy certain fraction of nuclear volume, often without mixing. Using extensive coarse-grained simulations, we model such chromosome structures as colloidal particles whose surfaces are grafted by cyclic polymers. This model system is known as Rosetta. The cyclic polymers, with varying polymerization degrees, mimic chromatin loops present in interphase chromosomes, while the rigid core models the chromocenter section of the chromosome. Our simulations show that the colloidal chromosome model provides a well-separated particle distribution without specific attraction between the chain monomers. As the polymerization degree of the grafted cyclic chains decreases while maintaining the total chromosomal length (e.g. the more potent activity of condensin-family proteins), the average chromosomal volume becomes smaller, inter-chromosomal contacts decrease, and chromocenters organize in a quasi-crystalline order reminiscent of a glassy state. This order weakens for polymer chains with a characteristic size on the order of the confinement radius. Notably, linear-polymer grafted particles also provide the same chromocenter organization scheme. However, unlike linear chains, cyclic chains result in less contact between the polymer layers of neighboring chromosome particles, demonstrating the effect of DNA breaks in altering genome-wide contacts. Our simulations show that polymer-grafted colloidal systems could help decipher 3D genome architecture along with the fractal globular and loop-extrusion models.</p>","PeriodicalId":20207,"journal":{"name":"Physical biology","volume":"20 5","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"9876494","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}
Pub Date : 2023-07-17DOI: 10.1088/1478-3975/ace22d
Arshed Nabeel, Vivek Jadhav, Danny Raj M, Clément Sire, Guy Theraulaz, Ramón Escobedo, Srikanth K Iyer, Vishwesha Guttal
Coarse-grained descriptions of collective motion of flocking systems are often derived for the macroscopic or the thermodynamic limit. However, the size of many real flocks falls within 'mesoscopic' scales (10 to 100 individuals), where stochasticity arising from the finite flock sizes is important. Previous studies on mesoscopic models have typically focused on non-spatial models. Developing mesoscopic scale equations, typically in the form of stochastic differential equations, can be challenging even for the simplest of the collective motion models that explicitly account for space. To address this gap, here, we take a novel data-driven equation learning approach to construct the stochastic mesoscopic descriptions of a simple, spatial, self-propelled particle (SPP) model of collective motion. In the spatial model, a focal individual can interact withkrandomly chosen neighbours within an interaction radius. We considerk = 1 (called stochastic pairwise interactions),k = 2 (stochastic ternary interactions), andkequalling all available neighbours within the interaction radius (equivalent to Vicsek-like local averaging). For the stochastic pairwise interaction model, the data-driven mesoscopic equations reveal that the collective order is driven by a multiplicative noise term (hence termed, noise-induced flocking). In contrast, for higher order interactions (k > 1), including Vicsek-like averaging interactions, models yield collective order driven by a combination of deterministic and stochastic forces. We find that the relation between the parameters of the mesoscopic equations describing the dynamics and the population size are sensitive to the density and to the interaction radius, exhibiting deviations from mean-field theoretical expectations. We provide semi-analytic arguments potentially explaining these observed deviations. In summary, our study emphasises the importance of mesoscopic descriptions of flocking systems and demonstrates the potential of the data-driven equation discovery methods for complex systems studies.
{"title":"Data-driven discovery of stochastic dynamical equations of collective motion.","authors":"Arshed Nabeel, Vivek Jadhav, Danny Raj M, Clément Sire, Guy Theraulaz, Ramón Escobedo, Srikanth K Iyer, Vishwesha Guttal","doi":"10.1088/1478-3975/ace22d","DOIUrl":"10.1088/1478-3975/ace22d","url":null,"abstract":"<p><p>Coarse-grained descriptions of collective motion of flocking systems are often derived for the macroscopic or the thermodynamic limit. However, the size of many real flocks falls within 'mesoscopic' scales (10 to 100 individuals), where stochasticity arising from the finite flock sizes is important. Previous studies on mesoscopic models have typically focused on non-spatial models. Developing mesoscopic scale equations, typically in the form of stochastic differential equations, can be challenging even for the simplest of the collective motion models that explicitly account for space. To address this gap, here, we take a novel data-driven equation learning approach to construct the stochastic mesoscopic descriptions of a simple, spatial, self-propelled particle (SPP) model of collective motion. In the spatial model, a focal individual can interact with<i>k</i>randomly chosen neighbours within an interaction radius. We consider<i>k</i> = 1 (called stochastic pairwise interactions),<i>k</i> = 2 (stochastic ternary interactions), and<i>k</i>equalling all available neighbours within the interaction radius (equivalent to Vicsek-like local averaging). For the stochastic pairwise interaction model, the data-driven mesoscopic equations reveal that the collective order is driven by a multiplicative noise term (hence termed, noise-induced flocking). In contrast, for higher order interactions (<i>k</i> > 1), including Vicsek-like averaging interactions, models yield collective order driven by a combination of deterministic and stochastic forces. We find that the relation between the parameters of the mesoscopic equations describing the dynamics and the population size are sensitive to the density and to the interaction radius, exhibiting deviations from mean-field theoretical expectations. We provide semi-analytic arguments potentially explaining these observed deviations. In summary, our study emphasises the importance of mesoscopic descriptions of flocking systems and demonstrates the potential of the data-driven equation discovery methods for complex systems studies.</p>","PeriodicalId":20207,"journal":{"name":"Physical biology","volume":"20 5","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"9835059","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}
Pub Date : 2023-07-14DOI: 10.1088/1478-3975/acdcdb
Greyson R Lewis, Wallace F Marshall
Mitochondria serve a wide range of functions within cells, most notably via their production of ATP. Although their morphology is commonly described as bean-like, mitochondria often form interconnected networks within cells that exhibit dynamic restructuring through a variety of physical changes. Further, though relationships between form and function in biology are well established, the extant toolkit for understanding mitochondrial morphology is limited. Here, we emphasize new and established methods for quantitatively describing mitochondrial networks, ranging from unweighted graph-theoretic representations to multi-scale approaches from applied topology, in particular persistent homology. We also show fundamental relationships between mitochondrial networks, mathematics, and physics, using ideas of graph planarity and statistical mechanics to better understand the full possible morphological space of mitochondrial network structures. Lastly, we provide suggestions for how examination of mitochondrial network form through the language of mathematics can inform biological understanding, and vice versa.
{"title":"Mitochondrial networks through the lens of mathematics.","authors":"Greyson R Lewis, Wallace F Marshall","doi":"10.1088/1478-3975/acdcdb","DOIUrl":"10.1088/1478-3975/acdcdb","url":null,"abstract":"<p><p>Mitochondria serve a wide range of functions within cells, most notably via their production of ATP. Although their morphology is commonly described as bean-like, mitochondria often form interconnected networks within cells that exhibit dynamic restructuring through a variety of physical changes. Further, though relationships between form and function in biology are well established, the extant toolkit for understanding mitochondrial morphology is limited. Here, we emphasize new and established methods for quantitatively describing mitochondrial networks, ranging from unweighted graph-theoretic representations to multi-scale approaches from applied topology, in particular persistent homology. We also show fundamental relationships between mitochondrial networks, mathematics, and physics, using ideas of graph planarity and statistical mechanics to better understand the full possible morphological space of mitochondrial network structures. Lastly, we provide suggestions for how examination of mitochondrial network form through the language of mathematics can inform biological understanding, and vice versa.</p>","PeriodicalId":20207,"journal":{"name":"Physical biology","volume":"20 5","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10347554/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"9797316","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"生物学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-12DOI: 10.1088/1478-3975/ace094
Zachary Fox, Gregory Batt, Jakob Ruess
This study describes a method for controlling the production of protein in individual cells using stochastic models of gene expression. By combining modern microscopy platforms with optogenetic gene expression, experimentalists are able to accurately apply light to individual cells, which can induce protein production. Here we use a finite state projection based stochastic model of gene expression, along with Bayesian state estimation to control protein copy numbers within individual cells. We compare this method to previous methods that use population based approaches. We also demonstrate the ability of this control strategy to ameliorate discrepancies between the predictions of a deterministic model and stochastic switching system.
{"title":"Bayesian filtering for model predictive control of stochastic gene expression in single cells.","authors":"Zachary Fox, Gregory Batt, Jakob Ruess","doi":"10.1088/1478-3975/ace094","DOIUrl":"https://doi.org/10.1088/1478-3975/ace094","url":null,"abstract":"<p><p>This study describes a method for controlling the production of protein in individual cells using stochastic models of gene expression. By combining modern microscopy platforms with optogenetic gene expression, experimentalists are able to accurately apply light to individual cells, which can induce protein production. Here we use a finite state projection based stochastic model of gene expression, along with Bayesian state estimation to control protein copy numbers within individual cells. We compare this method to previous methods that use population based approaches. We also demonstrate the ability of this control strategy to ameliorate discrepancies between the predictions of a deterministic model and stochastic switching system.</p>","PeriodicalId":20207,"journal":{"name":"Physical biology","volume":"20 5","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10156988","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}
Pub Date : 2023-07-10DOI: 10.1088/1478-3975/ace1c5
Fabio Cecconi, Giulio Costantini, Carlo Guardiani, Marco Baldovin, Angelo Vulpiani
Correlation analysis and its close variant principal component analysis are tools widely applied to predict the biological functions of macromolecules in terms of the relationship between fluctuation dynamics and structural properties. However, since this kind of analysis does not necessarily imply causation links among the elements of the system, its results run the risk of being biologically misinterpreted. By using as a benchmark the structure of ubiquitin, we report a critical comparison of correlation-based analysis with the analysis performed using two other indicators, response function and transfer entropy, that quantify the causal dependence. The use of ubiquitin stems from its simple structure and from recent experimental evidence of an allosteric control of its binding to target substrates. We discuss the ability of correlation, response and transfer-entropy analysis in detecting the role of the residues involved in the allosteric mechanism of ubiquitin as deduced by experiments. To maintain the comparison as much as free from the complexity of the modeling approach and the quality of time series, we describe the fluctuations of ubiquitin native state by the Gaussian network model which, being fully solvable, allows one to derive analytical expressions of the observables of interest. Our comparison suggests that a good strategy consists in combining correlation, response and transfer entropy, such that the preliminary information extracted from correlation analysis is validated by the two other indicators in order to discard those spurious correlations not associated with true causal dependencies.
{"title":"Correlation, response and entropy approaches to allosteric behaviors: a critical comparison on the ubiquitin case.","authors":"Fabio Cecconi, Giulio Costantini, Carlo Guardiani, Marco Baldovin, Angelo Vulpiani","doi":"10.1088/1478-3975/ace1c5","DOIUrl":"https://doi.org/10.1088/1478-3975/ace1c5","url":null,"abstract":"<p><p>Correlation analysis and its close variant principal component analysis are tools widely applied to predict the biological functions of macromolecules in terms of the relationship between fluctuation dynamics and structural properties. However, since this kind of analysis does not necessarily imply causation links among the elements of the system, its results run the risk of being biologically misinterpreted. By using as a benchmark the structure of ubiquitin, we report a critical comparison of correlation-based analysis with the analysis performed using two other indicators, response function and transfer entropy, that quantify the causal dependence. The use of ubiquitin stems from its simple structure and from recent experimental evidence of an allosteric control of its binding to target substrates. We discuss the ability of correlation, response and transfer-entropy analysis in detecting the role of the residues involved in the allosteric mechanism of ubiquitin as deduced by experiments. To maintain the comparison as much as free from the complexity of the modeling approach and the quality of time series, we describe the fluctuations of ubiquitin native state by the Gaussian network model which, being fully solvable, allows one to derive analytical expressions of the observables of interest. Our comparison suggests that a good strategy consists in combining correlation, response and transfer entropy, such that the preliminary information extracted from correlation analysis is validated by the two other indicators in order to discard those spurious correlations not associated with true causal dependencies.</p>","PeriodicalId":20207,"journal":{"name":"Physical biology","volume":"20 5","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"9878066","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}