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Multiscale Models of Taxis-Driven Patterning in Bacterial Populations
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/bf00277392openalex-snapshot
Models of dispersal in biological systems
inferredcites →https://doi.org/10.1007/s00249-004-0426-zopenalex-snapshot
Chemotaxis: the role of internal delays
inferredcites →https://doi.org/10.1007/s00285-007-0070-1openalex-snapshot
Taxis equations for amoeboid cells
inferredcites →https://doi.org/10.1007/s00285-007-0080-zopenalex-snapshot
Persistence of direction increases the drift velocity of run and tumble chemotaxis
inferredcites →https://doi.org/10.1007/s002850000035openalex-snapshot
Development and applications of a model for cellular response to multiple chemotactic cues
inferredcites →https://doi.org/10.1007/s002850050153openalex-snapshot
Model and analysis of chemotactic bacterial patterns in a liquid medium
inferredcites →https://doi.org/10.1016/0025-5564(81)90055-9openalex-snapshot
Nonlinear aspects of chemotaxis
inferredcites →https://doi.org/10.1016/s0006-3495(98)77880-4openalex-snapshot
Physical Mechanisms for Chemotactic Pattern Formation by Bacteria
inferredcites →https://doi.org/10.1016/s0022-2836(03)00437-6openalex-snapshot
A Spatially Extended Stochastic Model of the Bacterial Chemotaxis Signalling Pathway
inferredcites →https://doi.org/10.1038/239500a0openalex-snapshot
Chemotaxis in Escherichia coli analysed by Three-dimensional Tracking
inferredcites →https://doi.org/10.1038/376049a0openalex-snapshot
Dynamics of formation of symmetrical patterns by chemotactic bacteria
inferredcites →https://doi.org/10.1038/nature03660openalex-snapshot
Escherichia coli swim on the right-hand side
inferredcites →https://doi.org/10.1038/nrm1524openalex-snapshot
Making sense of it all: bacterial chemotaxis
inferredcites →https://doi.org/10.1051/mmnp/20094401openalex-snapshot
The Intersection of Theory and Application in Elucidating Pattern Formation in Developmental Biology
inferredcites →https://doi.org/10.1063/1.3246413openalex-snapshot
From Individual to Collective Behavior of Unicellular Organisms: Recent Results and Open Problems
inferredcites →https://doi.org/10.1073/pnas.1330839100openalex-snapshot
Quantitative modeling of sensitivity in bacterial chemotaxis: The role of coupling among different chemoreceptor species
inferredcites →https://doi.org/10.1073/pnas.2233626100openalex-snapshot
Motility of Escherichia coli cells in clusters formed by chemotactic aggregation
inferredcites →https://doi.org/10.1073/pnas.92.13.6195openalex-snapshot
Three-dimensional tracking of motile bacteria near a solid planar surface.
inferredcites →https://doi.org/10.1073/pnas.94.14.7263openalex-snapshot
A model of excitation and adaptation in bacterial chemotaxis
inferredcites →https://doi.org/10.1090/s0002-9904-1975-13744-xopenalex-snapshot
Asymptotic analysis of transport processes
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A minimal mechanism for bacterial pattern formation
inferredcites →https://doi.org/10.1103/physrevlett.75.1859openalex-snapshot
Aggregation Patterns in Stressed Bacteria
inferredcites →https://doi.org/10.1137/040603565openalex-snapshot
From Signal Transduction to Spatial Pattern Formation in E. coli : A Paradigm for Multiscale Modeling in Biology
inferredcites →https://doi.org/10.1137/s0036139900382772openalex-snapshot
The Diffusion Limit of Transport Equations II: Chemotaxis Equations
inferredcites →https://doi.org/10.1137/s0036139903433232openalex-snapshot
From Individual to Collective Behavior in Bacterial Chemotaxis
inferredcites →https://doi.org/10.1137/s0036139999358167openalex-snapshot
The Diffusion Limit of Transport Equations Derived from Velocity-Jump Processes
inferredcites →https://doi.org/10.1146/annurev.bi.60.070191.002153openalex-snapshot
SIGNAL TRANSDUCTION PATHWAYS INVOLVING PROTEIN PHOSPHORYLATION IN PROKARYOTES
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C hemotaxis-guided M ovements in B acteria
inferredcites →https://doi.org/10.1242/jeb.203.21.3345openalex-snapshot
Bioconvective Dynamics: Dependence on Organism Behaviour
inferredcites →https://doi.org/10.1371/journal.pbio.0020049openalex-snapshot
Design and Diversity in Bacterial Chemotaxis: A Comparative Study in Escherichia coli and Bacillus subtilis
inferredcites →https://doi.org/10.1371/journal.pcbi.1002332openalex-snapshot
Radial and Spiral Stream Formation in Proteus mirabilis Colonies
inferredcites →https://doi.org/10.1387/ijdb.052048apopenalex-snapshot
Spatial patterns formed by chemotactic bacteria Escherichia coli
inferredcites →https://doi.org/10.1529/biophysj.105.069401openalex-snapshot
Swimming in Circles: Motion of Bacteria near Solid Boundaries
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Bumpy Rides: Modeling the Dynamics of Chemotactic Interacting Bacteria
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Radial spiky steady states of a flux‐limited Keller–Segel model: Existence, asymptotics, and stability
inferred← citeshttps://doi.org/10.1111/sapm.12625openalex-snapshot
Depleting the signal: Analysis of chemotaxis‐consumption models—A survey
inferred← citeshttps://doi.org/10.1111/sapm.70060openalex-snapshot
Derivation of the Bacterial Run‐and‐Tumble Kinetic Model: Quantitative and Strong Convergence Results
inferred← citeshttps://doi.org/10.1137/130927954openalex-snapshot
Reconstructing the Transition Rate Function of a Broadwell Random Walk from Exit Times
inferred← citeshttps://doi.org/10.1137/130944199openalex-snapshot
A Pathway-Based Mean-Field Model for E. coli Chemotaxis: Mathematical Derivation and Its Hyperbolic and Parabolic Limits
inferred← citeshttps://doi.org/10.1137/140979708openalex-snapshot
Large-Data Global Generalized Solutions in a Chemotaxis System with Tensor-Valued Sensitivities
inferred← citeshttps://doi.org/10.1137/16m1074011openalex-snapshot
Macroscopic Limits of Pathway-Based Kinetic Models for E. coli Chemotaxis in Large Gradient Environments
inferred← citeshttps://doi.org/10.1137/20m134441xopenalex-snapshot
Numerical Scheme for Kinetic Transport Equation with Internal State
inferred← citeshttps://doi.org/10.1137/20m1365442openalex-snapshot
A Novel Derivation of Rigorous Macroscopic Limits from a Micro-Meso Description of Signal-Triggered Cell Migration in Fibrous Environments
inferred← citeshttps://doi.org/10.1137/22m1490958openalex-snapshot
Pattern Formation of a Pathway-Based Diffusion Model: Linear Stability Analysis and an Asymptotic Preserving Method
inferred← citeshttps://doi.org/10.1137/22m1499911openalex-snapshot
Kinetic Chemotaxis Tumbling Kernel Determined from Macroscopic Quantities
inferred← citeshttps://doi.org/10.1137/22m1531178openalex-snapshot
Two New Functional Inequalities and Their Application to the Eventual Smoothness of Solutions to a Chemotaxis-Navier–Stokes System with Rotational Flux
inferred← citeshttps://doi.org/10.1137/24m1647667openalex-snapshot
Mean First Passage Times for Transport Equations
inferred← citeshttps://doi.org/10.1142/s0218202513500243openalex-snapshot
INDIVIDUAL-BASED MODELS FOR BACTERIAL CHEMOTAXIS IN THE DIFFUSION ASYMPTOTICS
inferred← citeshttps://doi.org/10.1142/s0218202515500177openalex-snapshot
Global small-data solutions of a two-dimensional chemotaxis system with rotational flux terms
inferred← citeshttps://doi.org/10.1142/s021820251550044xopenalex-snapshot
Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
inferred← citeshttps://doi.org/10.1142/s021820251640008xopenalex-snapshot
Long-term behaviour in a chemotaxis-fluid system with logistic source
inferred← citeshttps://doi.org/10.1142/s0218202517500579openalex-snapshot
Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with subcritical sensitivity
inferred← citeshttps://doi.org/10.1142/s0218202518500380openalex-snapshot
Boundedness and large time behavior in a quasilinear chemotaxis model for tumor invasion
inferred← citeshttps://doi.org/10.1142/s0218202520400060openalex-snapshot
Multiple asymptotics of kinetic equations with internal states
inferred← citeshttps://doi.org/10.1142/s0218202521500056openalex-snapshot
Modeling glioma invasion with anisotropy- and hypoxia-triggered motility enhancement: From subcellular dynamics to macroscopic PDEs with multiple taxis
inferred← citeshttps://doi.org/10.1142/s0218202522500166openalex-snapshot
Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision
inferred← citeshttps://doi.org/10.1142/s0218202522500324openalex-snapshot
Global generalized solutions for a two-species chemotaxis system with tensor-valued sensitivity and logistic source
inferred← citeshttps://doi.org/10.1142/s0218202523400055openalex-snapshot
Regular solutions of chemotaxis-consumption systems involving tensor-valued sensitivities and Robin type boundary conditions
inferred← citeshttps://doi.org/10.1142/s021820252550006xopenalex-snapshot
Global existence and stabilization of classical solutions to a Keller–Segel–(Navier–)Stokes system with tensor-valued sensitivity and prescribed signal concentration on the boundary
inferred← citeshttps://doi.org/10.1142/s0218202526500399openalex-snapshot
Global existence and finite-time blowup in a 2D no-flux-Dirichlet Keller-Segel system with matrix-valued sensitivity
inferred← citeshttps://doi.org/10.1186/s12302-020-00329-2openalex-snapshot
Bacterial chemotaxis: a way forward to aromatic compounds biodegradation
inferred← citeshttps://doi.org/10.1365/s13291-019-00210-zopenalex-snapshot
Facing Low Regularity in Chemotaxis Systems
inferred← citeshttps://doi.org/10.1371/journal.pcbi.1002332openalex-snapshot
Radial and Spiral Stream Formation in Proteus mirabilis Colonies
inferred← citeshttps://doi.org/10.1371/journal.pcbi.1006178openalex-snapshot
The role of intracellular signaling in the stripe formation in engineered Escherichia coli populations
inferred← citeshttps://doi.org/10.1515/anona-2022-0228openalex-snapshot
Global boundedness to a 3D chemotaxis-Stokes system with porous medium cell diffusion and general sensitivity
inferred← citeshttps://doi.org/10.1515/ans-2022-0004openalex-snapshot
Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings
inferred← citeshttps://doi.org/10.1515/math-2022-0578openalex-snapshot
Classical solutions to Cauchy problems for parabolic–elliptic systems of Keller-Segel type
inferred← citeshttps://doi.org/10.21203/rs.3.rs-1536832/v1openalex-snapshot
Volcano effect in chemotactic aggregation and an extended Keller-Segel model
inferred← citeshttps://doi.org/10.3390/fractalfract7030209openalex-snapshot
A Fractional Chemotaxis Navier–Stokes System with Matrix-Valued Sensitivities and Attractive–Repulsive Signals
inferred← citeshttps://doi.org/10.3390/ijms14059205openalex-snapshot
Excitation and Adaptation in Bacteria–a Model Signal Transduction System that Controls Taxis and Spatial Pattern Formation
inferred← citeshttps://doi.org/10.3934/cpaa.2022139openalex-snapshot
An optimal result for global classical and bounded solutions in a two-dimensional Keller-Segel-Navier-Stokes system with saturated sensitivity
inferred← citeshttps://doi.org/10.3934/dcds.2015.35.1891openalex-snapshot
Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces
inferred← citeshttps://doi.org/10.3934/dcds.2015.35.3463openalex-snapshot
Global existence and boundedness for chemotaxis-Navier-Stokes systems with position-dependent sensitivity in 2D bounded domains
inferred← citeshttps://doi.org/10.3934/dcds.2025061openalex-snapshot
Global existence and regularity in a three-dimensional Keller-Segel-Navier-Stokes system with indirect signal production
inferred← citeshttps://doi.org/10.3934/dcdsb.2013.18.2513openalex-snapshot
Merging-emerging systems can describe spatio-temporal patterning in a chemotaxis model
inferred← citeshttps://doi.org/10.3934/dcdsb.2015.20.189openalex-snapshot
On a multiscale model involving cell contractivity and its effects on tumor invasion
inferred← citeshttps://doi.org/10.3934/dcdsb.2015.20.3235openalex-snapshot
Global classical solutions of a 3D chemotaxis-Stokes system with rotation
inferred← citeshttps://doi.org/10.3934/dcdsb.2018209openalex-snapshot
Boundedness in a three-dimensional Keller-Segel-Stokes system involving tensor-valued sensitivity with saturation
inferred← citeshttps://doi.org/10.3934/dcdsb.2020068openalex-snapshot
Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization
inferred← citeshttps://doi.org/10.3934/dcdsb.2020120openalex-snapshot
Global mass-preserving solutions for a two-dimensional chemotaxis system with rotational flux components coupled with a full Navier–Stokes equation
inferred← citeshttps://doi.org/10.3934/dcdsb.2022009openalex-snapshot
Approaching logarithmic singularities in quasilinear chemotaxis-consumption systems with signal-dependent sensitivities
inferred← citeshttps://doi.org/10.3934/dcdsb.2025163openalex-snapshot
Global bounded weak solutions to a 3D chemotaxis-Stokes system with slow $ p- $ Laplacian diffusion and rotation under Dirichlet signal boundary condition
inferred← citeshttps://doi.org/10.3934/dcdss.2020019openalex-snapshot
Global solvability in a two-dimensional self-consistent chemotaxis-Navier-Stokes system
inferred← citeshttps://doi.org/10.3934/krm.2021043openalex-snapshot
A kinetic chemotaxis model with internal states and temporal sensing
inferred← citeshttps://doi.org/10.3934/math.2026209openalex-snapshot
Blowup dynamics for the Euler-Smoluchowski-Poisson equation: Quantized collapse and subvortex interactions
inferred← citeshttps://doi.org/10.3934/mbe.2017038openalex-snapshot
Moments of von mises and fisher distributions and applications
inferred← citeshttps://doi.org/10.4171/rmi/1132openalex-snapshot
The flux limited Keller–Segel system; properties and derivation from kinetic equations
inferred← citeshttps://doi.org/10.4208/csiam-am.so-2021-0041openalex-snapshot
Boundedness and Asymptotic Behavior in a 3D Keller-Segel-Stokes System Modeling Coral Fertilization with Nonlinear Diffusion and Rotation
inferred← citeshttps://doi.org/10.4310/cms.2020.v18.n2.a5openalex-snapshot
Optimal critical mass for the two-dimensional Keller–Segel model with rotational flux terms
inferred← citeshttps://doi.org/10.48550/arxiv.1302.2665openalex-snapshot
Travelling waves in hybrid chemotaxis models
inferred← citeshttps://doi.org/10.48550/arxiv.1503.03979openalex-snapshot
Derivation of the bacterial run-and-tumble kinetic equation from a model with biochemical pathway
inferred← citeshttps://doi.org/10.48550/arxiv.1602.00665openalex-snapshot
Long-term behaviour in a chemotaxis-fluid system with logistic source
inferred← citeshttps://doi.org/10.48550/arxiv.1701.01334openalex-snapshot
A new approach toward locally bounded global solutions to a $3D$ chemotaxis-stokes system with nonlinear diffusion and rotation
inferred← citeshttps://doi.org/10.48550/arxiv.1706.02022openalex-snapshot
Global existence to a $3D$ chemotaxis-Navier-stokes system with nonlinear diffusion and rotation
inferred← citeshttps://doi.org/10.48550/arxiv.1806.07067openalex-snapshot
An optimal result for global existence and boundedness in a three-dimensional Keller-Segel(-Navier)-Stokes system (involving a tensor-valued sensitivity with saturation)
inferred← citeshttps://doi.org/10.48550/arxiv.1903.01033openalex-snapshot
An optimal result for global classical and bounded solutions in a two-dimensional Keller-Segel-Navier-Stokes system with sensitivity
inferred← citeshttps://doi.org/10.48550/arxiv.1903.07536openalex-snapshot
Blow-up prevention by nonlinear diffusion in a 2D Keller-Segel-Navier-Stokes system with rotational flux
inferred← citeshttps://doi.org/10.48550/arxiv.1905.08647openalex-snapshot
Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization
inferred← citeshttps://doi.org/10.48550/arxiv.1907.11823openalex-snapshot
A new result for the global existence (and boundedness), regularity and stabilization of a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization
inferred← citeshttps://doi.org/10.48550/arxiv.1908.03876openalex-snapshot
Optimal Control for Chemotaxis Systems and Adjoint-Based Optimization with Multiple-Relaxation-Time Lattice Boltzmann Models
inferred← citeshttps://doi.org/10.48550/arxiv.1912.00926openalex-snapshot
Global existence, smooth and stabilization in a three-dimensional Keller-Segel-Navier-Stokes system with rotational flux
inferred← citeshttps://doi.org/10.7554/elife.67316openalex-snapshot
Spatial modulation of individual behaviors enables an ordered structure of diverse phenotypes during bacterial group migration
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