Found 38 Documents (Results 1–38)
Mathematical modeling of cell collective motion triggered by self-generated gradients. (English) Zbl 1508.92028
Bellomo, Nicola (ed.) et al., Active particles. Volume 3. Advances in theory, models, and applications. Cham: Birkhäuser. Model. Simul. Sci. Eng. Technol., 75-103 (2022).
Reviewer: Takashi Suzuki (Osaka)
Modeling multiple taxis: tumor invasion with phenotypic heterogeneity, haptotaxis, and unilateral interspecies repellence. (English) Zbl 1467.35323
Reviewer: Yaroslav Baranetskij (Lviv)
From a discrete model of chemotaxis with volume-filling to a generalized Patlak-Keller-Segel model. (English) Zbl 1472.92062
MSC:
92C17
A multiscale view of nonlinear diffusion in biology: from cells to tissues. (English) Zbl 1427.35291
Derivation of a bacterial nutrient-taxis system with doubly degenerate cross-diffusion as the parabolic limit of a velocity-jump process. (English) Zbl 1415.92039
Cross-diffusion and traveling waves in porous-media flux-saturated Keller-Segel models. (English) Zbl 1411.35157
Concentration waves of chemotactic bacteria: the discrete velocity case. (English) Zbl 1371.35299
Gosse, Laurent (ed.) et al., Innovative algorithms and analysis. Based on the presentations at the workshop, Rome, Italy, May 17–20, 2016. Cham: Springer (ISBN 978-3-319-49261-2/hbk; 978-3-319-49262-9/ebook). Springer INdAM Series 16, 79-109 (2017).
Hilbert method toward a multiscale analysis from kinetic to macroscopic models for active particles. (English) Zbl 1372.35302
On the existence of local strong solutions to chemotaxis-shallow water system with large data and vacuum. (English) Zbl 1351.35128
About the kinetic description of fractional diffusion equations modeling chemotaxis. (English) Zbl 1333.35298
Toward a mathematical theory of Keller-Segel models of pattern formation in biological tissues. (English) Zbl 1326.35397
Reviewer: Piotr Biler (Wroclaw)
Some classes of stochastic differential equations as an alternative modeling approach to biomedical problems. (English) Zbl 1311.37039
Kloeden, Peter E. (ed.) et al., Nonautonomous dynamical systems in the life sciences. Cham: Springer (ISBN 978-3-319-03079-1/pbk; 978-3-319-03080-7/ebook). Lecture Notes in Mathematics 2102. Mathematical Biosciences Subseries, 269-307 (2013).
Reviewer: Irina V. Konopleva (Ul’yanovsk)
Kinetic models of chemotaxis. (English) Zbl 1257.35052
Ruzhansky, Michael (ed.) et al., Evolution equations of hyperbolic and Schrödinger type. Asymptotics, estimates and nonlinearities. Based on a workshop on asymptotic properties of solutions to hyperbolic equations, London, UK, March 2011. Basel: Springer (ISBN 978-3-0348-0453-0/hbk; 978-3-0348-0454-7/ebook). Progress in Mathematics 301, 41-52 (2012).
Classification and stability of global inhomogeneous solutions of a macroscopic model of cell motion. (English) Zbl 1250.92001
Mathematical modeling for keloid formation triggered by virus: malignant effects and immune system competition. (English) Zbl 1218.35236
Bifurcation diagrams for the moments of a kinetic type model of keloid-immune system competition. (English) Zbl 1211.37102
A phenomenological approach to the dynamics of activation and clonal expansion of \(T\) cells. (English) Zbl 1211.35260
From kinetic models of multicellular growing systems to macroscopic biological tissue models. (English) Zbl 1203.92020
Modelling aggregation-fragmentation phenomena from kinetic to macroscopic scales. (English) Zbl 1202.82065
Complexity and mathematical tools toward the modelling of multicellular growing systems. (English) Zbl 1190.92001
On the modelling of space dynamics in the kinetic theory for active particles. (English) Zbl 1190.82032
From discrete to continuous evolution models: a unifying approach to drift-diffusion and replicator dynamics. (English) Zbl 1403.92168
On the derivation of macroscopic tissue equations from hybrid models of the kinetic theory of multicellular growing systems – the effect of global equilibrium. (English) Zbl 1184.93071
From the mathematical kinetic theory for active particles on the derivation of hyperbolic macroscopic tissue models. (English) Zbl 1171.92309
Critical mass phenomenon for a chemotaxis kinetic model with spherically symmetric initial data. (English) Zbl 1171.92003
Multiscale cancer modeling: In the line of fast simulation and chemotherapy. (English) Zbl 1165.92307
On the coupling of higher and lower scales using the mathematical kinetic theory of active particles. (English) Zbl 1162.92013
Mathematical description of concentric demyelination in the human brain: self-organization models, from Liesegang rings to chemotaxis. (English) Zbl 1134.92019
From the mathematical kinetic theory of active particles to multiscale modelling of complex biological systems. (English) Zbl 1134.92003
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