Bulletin of Mathematical Biology最新文献

Mechanical Cell Interactions on Curved Interfaces.

IF 2 4区数学

Bulletin of Mathematical Biology Pub Date : 2025-01-07 DOI: 10.1007/s11538-024-01406-w

Pascal R Buenzli, Shahak Kuba, Ryan J Murphy, Matthew J Simpson

{"title":"Mechanical Cell Interactions on Curved Interfaces.","authors":"Pascal R Buenzli, Shahak Kuba, Ryan J Murphy, Matthew J Simpson","doi":"10.1007/s11538-024-01406-w","DOIUrl":"https://doi.org/10.1007/s11538-024-01406-w","url":null,"abstract":"We propose a simple mathematical model to describe the mechanical relaxation of cells within a curved epithelial tissue layer represented by an arbitrary curve in two-dimensional space. This model generalises previous one-dimensional models of flat epithelia to investigate the influence of curvature for mechanical relaxation. We represent the mechanics of a cell body either by straight springs, or by curved springs that follow the curve's shape. To understand the collective dynamics of the cells, we devise an appropriate continuum limit in which the number of cells and the length of the substrate are constant but the number of springs tends to infinity. In this limit, cell density is governed by a diffusion equation in arc length coordinates, where diffusion may be linear or nonlinear depending on the choice of the spring restoring force law. Our results have important implications about modelling cells on curved geometries: (i) curved and straight springs can lead to different dynamics when there is a finite number of springs, but they both converge quadratically to the dynamics governed by the diffusion equation; (ii) in the continuum limit, the curvature of the tissue does not affect the mechanical relaxation of cells within the layer nor their tangential stress; (iii) a cell's normal stress depends on curvature due to surface tension induced by the tangential forces. Normal stress enables cells to sense substrate curvature at length scales much larger than their cell body, and could induce curvature dependences in experiments.","PeriodicalId":9372,"journal":{"name":"Bulletin of Mathematical Biology","volume":"87 2","pages":"29"},"PeriodicalIF":2.0,"publicationDate":"2025-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11706888/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142944992","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A 3D Computational Study on the Formation and Progression of Tumor Cells in Diffuse Gastric Cancer.

IF 2 4区数学

Bulletin of Mathematical Biology Pub Date : 2025-01-05 DOI: 10.1007/s11538-024-01405-x

Valéria Lopes, Joana Figueiredo, Patrícia Carneiro, Marcos Gouveia, Rui D M Travasso, João Carvalho

{"title":"A 3D Computational Study on the Formation and Progression of Tumor Cells in Diffuse Gastric Cancer.","authors":"Valéria Lopes, Joana Figueiredo, Patrícia Carneiro, Marcos Gouveia, Rui D M Travasso, João Carvalho","doi":"10.1007/s11538-024-01405-x","DOIUrl":"https://doi.org/10.1007/s11538-024-01405-x","url":null,"abstract":"Hereditary diffuse gastric cancer is characterized by an increased risk of diffuse gastric cancer and lobular breast cancer, and is caused by pathogenic germline variants of E-cadherin and <math><mi>α</mi></math> -E-catenin, which are key regulators of cell-cell adhesion. However, how the loss of cell-cell adhesion promotes cell dissemination remains to be fully understood. Therefore, a three-dimensional computer model was developed to describe the initial steps of diffuse gastric cancer development. In this model, we have implemented a cellular Potts approach that contemplates cell adhesion to other cells and to the extracellular matrix, cell extrusion from the gastric epithelia, and subsequent proliferation. We demonstrate that early disease features are determined by decreased adhesion of mutant cells to their normal epithelial neighbors, with concomitant increased attachment to matrix components. Importantly, our simulation shows how mechanical pressure and uncontrolled proliferation of mutant cells lead to modifications in cell shape and in gastric gland morphology. In conclusion, this work underscores the potential of computational models to elucidate the role of cellular and noncellular components in gastric cancer that may be relevant targets in therapeutic interventions.","PeriodicalId":9372,"journal":{"name":"Bulletin of Mathematical Biology","volume":"87 2","pages":"28"},"PeriodicalIF":2.0,"publicationDate":"2025-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142926550","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}

引用次数: 0

The Effect of Vaccination on the Competitive Advantage of Two Strains of an Infectious Disease.

IF 2 4区数学

Bulletin of Mathematical Biology Pub Date : 2025-01-03 DOI: 10.1007/s11538-024-01378-x

Matthew D Johnston, Bruce Pell, Jared Pemberton, David A Rubel

{"title":"The Effect of Vaccination on the Competitive Advantage of Two Strains of an Infectious Disease.","authors":"Matthew D Johnston, Bruce Pell, Jared Pemberton, David A Rubel","doi":"10.1007/s11538-024-01378-x","DOIUrl":"10.1007/s11538-024-01378-x","url":null,"abstract":"We investigate the impact of differential vaccine effectiveness, waning immunity, and natural cross-immunity on the capacity for vaccine-induced strain replacement in two-strain models of infectious disease spread. We focus specifically on the case where the first strain is more transmissible but the second strain is more immune-resistant. We consider two cases on vaccine-induced immunity: (1) a monovalent model where the second strain has immune escape with respect to vaccination; and (2) a bivalent model where the vaccine remains equally effective against both strains. Our analysis reaffirms the capacity for vaccine-induced strain replacement under a variety of circumstances; surprisingly, however, we find that which strain is preferred depends sensitively on the degree of differential vaccine effectiveness. In general, the monovalent model favors the more immune-resistant strain at high vaccination levels while the bivalent model favors the more transmissible strain at high vaccination levels. To further investigate this phenomenon, we parametrize the bifurcation space between the monovalent and bivalent model.","PeriodicalId":9372,"journal":{"name":"Bulletin of Mathematical Biology","volume":"87 2","pages":"19"},"PeriodicalIF":2.0,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142920722","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}

引用次数: 0

A Dynamical Analysis of the Alignment Mechanism Between Two Interacting Cells.

IF 2 4区数学

Bulletin of Mathematical Biology Pub Date : 2025-01-03 DOI: 10.1007/s11538-024-01397-8

Vivienne Leech, Mohit P Dalwadi, Angelika Manhart

{"title":"A Dynamical Analysis of the Alignment Mechanism Between Two Interacting Cells.","authors":"Vivienne Leech, Mohit P Dalwadi, Angelika Manhart","doi":"10.1007/s11538-024-01397-8","DOIUrl":"10.1007/s11538-024-01397-8","url":null,"abstract":"In this work we analytically investigate the alignment mechanism of self-propelled ellipse-shaped cells in two spatial dimensions interacting via overlap avoidance. By considering a two-cell system and imposing certain symmetries, we obtain an analytically tractable dynamical system, which we mathematically analyse in detail. We find that for elongated cells there is a half-stable steady state corresponding to perfect alignment between the cells. Whether cells move towards this state (i.e., become perfectly aligned) or not is determined by where in state space the initial condition lies. We find that a separatrix splits the state space into two regions, which characterise these two different outcomes. We find that some self-propulsion is necessary to achieve perfect alignment, however too much self-propulsion hinders alignment. Analysing the effect of small amounts of self-propulsion offers an insight into the timescales at play when a trajectory is moving towards the point of perfect alignment. We find that the two cells initially move apart to avoid overlap over a fast timescale, and then the presence of self-propulsion causes them to move towards a configuration of perfect alignment over a much slower timescale. Overall, our analysis highlights how the interaction between self-propulsion and overlap avoidance is sufficient to generate alignment.","PeriodicalId":9372,"journal":{"name":"Bulletin of Mathematical Biology","volume":"87 2","pages":"23"},"PeriodicalIF":2.0,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11698796/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142920490","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The Role of Cytonemes and Diffusive Transport in the Establishment of Morphogen Gradients.

IF 2 4区数学

Bulletin of Mathematical Biology Pub Date : 2025-01-03 DOI: 10.1007/s11538-024-01388-9

Jay Stotsky, Hans G Othmer

引用次数: 0

Integration of Immune Cell-Target Cell Conjugate Dynamics Changes the Time Scale of Immune Control of Cancer.

IF 2 4区数学

Bulletin of Mathematical Biology Pub Date : 2025-01-03 DOI: 10.1007/s11538-024-01400-2

Qianci Yang, Arne Traulsen, Philipp M Altrock

{"title":"Integration of Immune Cell-Target Cell Conjugate Dynamics Changes the Time Scale of Immune Control of Cancer.","authors":"Qianci Yang, Arne Traulsen, Philipp M Altrock","doi":"10.1007/s11538-024-01400-2","DOIUrl":"10.1007/s11538-024-01400-2","url":null,"abstract":"The human immune system can recognize, attack, and eliminate cancer cells, but cancers can escape this immune surveillance. Variants of ecological predator-prey models can capture the dynamics of such cancer control mechanisms by adaptive immune system cells. These dynamical systems describe, e.g., tumor cell-effector T cell conjugation, immune cell activation, cancer cell killing, and T cell exhaustion. Target (tumor) cell-T cell conjugation is integral to the adaptive immune system's cancer control and immunotherapy. However, whether conjugate dynamics should be explicitly included in mathematical models of cancer-immune interactions is incompletely understood. Here, we analyze the dynamics of a cancer-effector T cell system and focus on the impact of explicitly modeling the conjugate compartment to investigate the role of cellular conjugate dynamics. We formulate a deterministic modeling framework to compare possible equilibria and their stability, such as tumor extinction, tumor-immune coexistence (tumor control), or tumor escape. We also formulate the stochastic analog of this system to analyze the impact of demographic fluctuations that arise when cell populations are small. We find that explicit consideration of a conjugate compartment can (i) change long-term steady-state, (ii) critically change the time to reach an equilibrium, (iii) alter the probability of tumor escape, and (iv) lead to very different extinction time distributions. Thus, we demonstrate the importance of the conjugate compartment in defining tumor-effector T cell interactions. Accounting for transitionary compartments of cellular interactions may better capture the dynamics of tumor control and progression.","PeriodicalId":9372,"journal":{"name":"Bulletin of Mathematical Biology","volume":"87 2","pages":"24"},"PeriodicalIF":2.0,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11698905/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142920451","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Transformations to Simplify Phylogenetic Networks.

IF 2 4区数学

Bulletin of Mathematical Biology Pub Date : 2025-01-03 DOI: 10.1007/s11538-024-01398-7

Johanna Heiss, Daniel H Huson, Mike Steel

{"title":"Transformations to Simplify Phylogenetic Networks.","authors":"Johanna Heiss, Daniel H Huson, Mike Steel","doi":"10.1007/s11538-024-01398-7","DOIUrl":"10.1007/s11538-024-01398-7","url":null,"abstract":"The evolutionary relationships between species are typically represented in the biological literature by rooted phylogenetic trees. However, a tree fails to capture ancestral reticulate processes, such as the formation of hybrid species or lateral gene transfer events between lineages, and so the history of life is more accurately described by a rooted phylogenetic network. Nevertheless, phylogenetic networks may be complex and difficult to interpret, so biologists sometimes prefer a tree that summarises the central tree-like trend of evolution. In this paper, we formally investigate methods for transforming an arbitrary phylogenetic network into a tree (on the same set of leaves) and ask which ones (if any) satisfy a simple consistency condition. This consistency condition states that if we add additional species into a phylogenetic network (without otherwise changing this original network) then transforming this enlarged network into a rooted phylogenetic tree induces the same tree on the original set of species as transforming the original network. We show that the LSA (lowest stable ancestor) tree method satisfies this consistency property, whereas several other commonly used methods (and a new one we introduce) do not. We also briefly consider transformations that convert arbitrary phylogenetic networks to another simpler class, namely normal networks.","PeriodicalId":9372,"journal":{"name":"Bulletin of Mathematical Biology","volume":"87 2","pages":"20"},"PeriodicalIF":2.0,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142920694","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}

引用次数: 0

Negligible Long-Term Impact of Nonlinear Growth Dynamics on Heterogeneity in Models of Cancer Cell Populations.

IF 2 4区数学

Bulletin of Mathematical Biology Pub Date : 2025-01-03 DOI: 10.1007/s11538-024-01395-w

Stefano Giaimo, Saumil Shah, Michael Raatz, Arne Traulsen

引用次数: 0

A Theoretical Analysis of Mass Testing Strategies to Control Epidemics.

IF 2 4区数学

Bulletin of Mathematical Biology Pub Date : 2025-01-03 DOI: 10.1007/s11538-024-01387-w

Michela Sabbatino, Simone De Reggi, Andrea Pugliese

引用次数: 0

How Residual Fertility Impacts the Efficiency of Crop Pest Control by the Sterile Insect Technique.

IF 2 4区数学

Bulletin of Mathematical Biology Pub Date : 2025-01-03 DOI: 10.1007/s11538-024-01401-1

Marine A Courtois, Ludovic Mailleret, Suzanne Touzeau, Louise van Oudenhove, Frédéric Grognard

{"title":"How Residual Fertility Impacts the Efficiency of Crop Pest Control by the Sterile Insect Technique.","authors":"Marine A Courtois, Ludovic Mailleret, Suzanne Touzeau, Louise van Oudenhove, Frédéric Grognard","doi":"10.1007/s11538-024-01401-1","DOIUrl":"10.1007/s11538-024-01401-1","url":null,"abstract":"The sterile insect technique (SIT) is a biological control technique based on mass-rearing, radiation-based sterilization that can induce fitness costs, and releases of the pest species targeted for population control. Sterile matings, between females and sterilized males, can reduce the overall population growth rate and cause a fall in population density. However, a proportion of irradiated males may escape sterilization, resulting in what is called residual fertility. Our aim in this study was to examine the impact of residual fertility on pest control employing a modeling approach. We modeled pest population dynamics with three generic differential equations representing sterilized males, wild males and wild females. We explored the impact of residual fertility, in the presence or absence of fitness costs, on potential pest control outcomes using a scenario with <math><mrow><mn>100</mn> <mo>%</mo></mrow> </math> male sterilization as our standard of reference. We carried out a detailed mathematical analysis of the model's dynamics by calculating model equilibria and the latter's stability. Bifurcation analyses were performed with parameters for the Mediterranean fruit fly Ceratitis capitata. We showed that, when residual fertility is below a threshold value, wild populations can be eradicated by flooding the landscape with irradiated males. This threshold is higher when residual fertility is associated with fitness costs. Too high a level of residual fertility makes SIT less effective and hinders population eradication. That said, substantial decreases in population density can be achieved even when residual fertility is much larger than the above threshold.","PeriodicalId":9372,"journal":{"name":"Bulletin of Mathematical Biology","volume":"87 2","pages":"25"},"PeriodicalIF":2.0,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142920496","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}

引用次数: 0