Found 802 Documents (Results 1–100)
Local and global solutions for a subdiffusive parabolic-parabolic Keller-Segel system. (English) Zbl 07920858
Multiplicity of time scales in blood cell formation and leukemia. (English) Zbl 07918008
Booß-Bavnbek, Bernhelm (ed.) et al., Multiplicity of time scales in complex systems. Challenges for sciences and communication I. Cham: Springer. Math. Online First Collect., 327-399 (2024).
Bifurcation analysis and synapse pattern formation with bidirectional motor-mediated transports. (English) Zbl 07916724
Relaxation and noise-driven oscillations in a model of mitotic spindle dynamics. (English) Zbl 07909990
Global classical solvability and stabilization in a two-dimensional Chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal. (English) Zbl 07905810
A theoretical model of anaphase. (English) Zbl 07902942
Corrigendum to “A general mathematical framework for understanding the behavior of heterogeneous stem cell regeneration”. (English) Zbl 07902704
Minimal cellular automaton model with heterogeneous cell sizes predicts epithelial colony growth. (English) Zbl 07902694
Formation of vascular-like structures using a chemotaxis-driven multiphase model. (English) Zbl 07875660
A DeepParticle method for learning and generating aggregation patterns in multi-dimensional Keller-Segel chemotaxis systems. (English) Zbl 1541.35522
Chemotaxis in heterogeneous environments: a multi-agent model of decentralized gathering past obstacles. (English) Zbl 1536.92019
Spatio-temporal dynamics in a diffusive Bazykin model: effects of group defense and prey-taxis. (English) Zbl 1541.35515
Reviewer: Rodica Luca (Iaşi)
A chemotaxis reaction-diffusion model for multiple sclerosis with Allee effect. (English) Zbl 1535.92009
Ric. Mat. 73, Suppl., S29-S46 (2024); correction ibid. 73, Suppl., S47-S49 (2024).
Surveys and essays towards research perspectives on complex systems. (English) Zbl 07830485
MSC:
00Bxx
26A16
28A33
35B30
35F10
35L50
35R02
46E27
65M60
65N30
82D99
91D10
92B05
92C17
92D40
92C15
A quantitative strong parabolic maximum principle and application to a taxis-type migration-consumption model involving signal-dependent degenerate diffusion. (English) Zbl 1539.35020
Modeling the interplay of oscillatory synchronization and aggregation via cell-cell adhesion. (English) Zbl 1534.92025
One-dimensional short-range nearest-neighbor interaction and its nonlinear diffusion limit. (English) Zbl 07802044
Turing pattern formation in reaction-cross-diffusion systems with a bilayer geometry. (English) Zbl 1531.92018
Local discontinuous Galerkin methods with decoupled implicit-explicit time marching for the growth-mediated autochemotactic pattern formation model. (English) Zbl 1538.65395
Blow-up prevention by sub-logistic sources in Keller-Segel cross diffusion type system. (English) Zbl 1531.35043
Novel aspects in pattern formation arise from coupling Turing reaction-diffusion and chemotaxis. (English) Zbl 1530.92015
Aggregation-diffusion in heterogeneous environments. arXiv:2409.10147
Preprint, arXiv:2409.10147 [q-bio.PE] (2024).
An optimization based 3D-1D coupling strategy for tissue perfusion and chemical transport during tumor-induced angiogenesis. (English) Zbl 1538.92006
A two-galectin network establishes mesenchymal condensation phenotype in limb development. (English) Zbl 1530.92016
Modeling polarity-driven laminar patterns in bilayer tissues with mixed signaling mechanisms. (English) Zbl 1530.92018
Phenotype switching in chemotaxis aggregation models controls the spontaneous emergence of large densities. (English) Zbl 1529.35092
Reviewer: Chunhua Jin (Guangzhou)
Free and interfacial boundaries in individual-based models of multicellular biological systems. (English) Zbl 1526.92020
A stochastic model of cortical microtubule anchoring and mechanics provides regulatory control of microtubule shape. (English) Zbl 1526.92011
Multiscale asymptotic analysis reveals how cell growth and subcellular compartments affect tissue-scale hormone transport. (English) Zbl 1526.92010
Global solvability, pattern formation and stability to a chemotaxis-haptotaxis model with porous medium diffusion. (English) Zbl 1528.35009
An unconditionally energy stable and positive upwind DG scheme for the Keller-Segel model. (English) Zbl 1522.65165
Generation and motion of interfaces in a mass-conserving reaction-diffusion system. (English) Zbl 1523.35265
Reviewer: Eugene Postnikov (Kursk)
Adjusting the range of cell-cell communication enables fine-tuning of cell fate patterns from checkerboard to engulfing. (English) Zbl 1525.34079
How hysteresis produces discontinuous patterns in degenerate reaction-diffusion systems. (English) Zbl 1529.35528
Cell-center-based model for simulating three-dimensional monolayer tissue deformation. (English) Zbl 1520.92027
Spatial heterogeneity localizes Turing patterns in reaction-cross-diffusion systems. (English) Zbl 1521.35029
Cross-diffusion models in complex frameworks from microscopic to macroscopic. (English) Zbl 1522.35515
Regulation of \(\beta \)-catenin in the Wnt signaling pathway and EMT via optimal control. (English) Zbl 1519.92063
Influence of telomerase activity and initial distribution on human follicular aging: moving from a discrete to a continuum model. (English) Zbl 1533.92068
Reviewer: Chay Paterson (Manchester)
On the strongly competitive case in a fully parabolic two-species chemotaxis system with Lotka-Volterra competitive kinetics. (English) Zbl 1515.35053
Reviewer: Christian Stinner (Darmstadt)
Convergence of the EBT method for a non-local model of cell proliferation with discontinuous interaction kernel. (English) Zbl 1511.92023
Reviewer: Piotr Biler (Wrocław)
Transplantation of fragments from different Planaria: a bioelectrical model for head regeneration. (English) Zbl 1504.92017
Comparison between phase-field model and coarse-grained model for characterizing cell-resolved morphological and mechanical properties in a multicellular system. (English) Zbl 1505.92021
Cell polarity and movement with reaction-diffusion and moving boundary: rigorous model analysis and robust simulations. (English) Zbl 07906262
Heat and mass transfer analysis for bioconvective flow of Eyring Powell nanofluid over a Riga surface with nonlinear thermal features. (English) Zbl 1534.65218
MSC:
65M99
65L10
65L06
35A24
76A05
76S05
76R10
76T20
76W05
76Z10
92C15
92C17
80A21
80A19
60J65
35Q35
35Q92
Well-posedness and asymptotic behavior for the fractional Keller-Segel system in critical Besov-Herz-type spaces. (English) Zbl 1527.35054
Virus models in complex frameworks: towards modeling space patterns of SARS-CoV-2 epidemics. (English) Zbl 1518.35591
Getting started in mathematical life sciences. From MATLAB programming to computer simulations. (English) Zbl 1515.92001
Theoretical Biology. Singapore: Springer (ISBN 978-981-19-8256-9/hbk; 978-981-19-8259-0/pbk; 978-981-19-8257-6/ebook). ix, 204 p. (2022).
Mathematical models of cell-based morphogenesis. Passive and active remodeling. (English) Zbl 1508.92001
Theoretical Biology. Singapore: Springer (ISBN 978-981-19-2915-1/hbk; 978-981-19-2918-2/pbk; 978-981-19-2916-8/ebook). viii, 192 p. (2022).
Quantifying cellular pluripotency and pathway robustness through Forman-Ricci curvature. (English) Zbl 1507.92027
Benito, Rosa Maria (ed.) et al., Complex networks & their applications X. Volume 2. Proceedings of the 10th international conference, COMPLEX NETWORKS 2021, Madrid, Spain, November 30 – December 2, 2021. Cham: Springer. Stud. Comput. Intell. 1016, 616-628 (2022).
Pattern formation of elliptic particles by two-body interactions: a model for dynamics of endothelial cells in angiogenesis. (English) Zbl 07614401
MSC:
92-XX
Discrete maturity and delay differential-difference model of hematopoietic cell dynamics with applications to acute myelogenous leukemia. (English) Zbl 1503.92033
The impact of phenotypic heterogeneity on chemotactic self-organisation. (English) Zbl 1508.92030
Reviewer: Takashi Suzuki (Osaka)
Polarity-driven laminar pattern formation by lateral-inhibition in 2D and 3D bilayer geometries. (English) Zbl 1501.92005
Dynamic mechanism of phase variation in bacteria based on multistable gene regulatory networks. (English) Zbl 1497.92023
Spreading mechanics and differentiation of astrocytes during retinal development. (English) Zbl 1497.92028
Reliable and efficient parameter estimation using approximate continuum limit descriptions of stochastic models. (English) Zbl 1497.92027
Development of algorithm simulating spatial fold change of cell signaling for pattern formation in zebrafish. (English) Zbl 1498.92027
A PDE model for protocell evolution and the origin of chromosomes via multilevel selection. (English) Zbl 1498.92026
On the fractional doubly parabolic Keller-Segel system modelling chemotaxis. (English) Zbl 1496.35418
Multi-species viscous models for tissue growth: incompressible limit and qualitative behaviour. (English) Zbl 1495.35146
Pattern formation in a spatially extended model of pacemaker dynamics in smooth muscle cells. (English) Zbl 1497.92022
Chemotaxis and cross-diffusion models in complex environments: models and analytic problems toward a multiscale vision. (English) Zbl 1497.35039
Reviewer: Lingeshwaran Shangerganesh (Ponda)
Unconditionally energy stable \(C^0\)-virtual element scheme for solving generalized Swift-Hohenberg equation. (English) Zbl 1492.65263
Large-data global existence in a higher-dimensional doubly degenerate nutrient system. (English) Zbl 1495.35106
Reviewer: Chunhua Jin (Guangzhou)
Distinguishing between multiple mathematical models of neural stem cell quiescence and activation during age-related neural stem cell decline in neurogenesis. (English) Zbl 1490.92010
Repulsive chemotaxis and predator evasion in predator-prey models with diffusion and prey-taxis. (English) Zbl 1486.92175
Computational modelling of nephron progenitor cell movement and aggregation during kidney organogenesis. (English) Zbl 1486.92022
Multistability and transitions between spatiotemporal patterns through versatile Notch-Hes signaling. (English) Zbl 1483.92061
Nonconstant positive solutions to the ratio-dependent predator-prey system with prey-taxis in one dimension. (English) Zbl 1484.35047
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