Invasion fronts and adaptive dynamics in a model for the growth of cell populations with heterogeneous mobility. (English) Zbl 1507.35300
Reviewer: Eugene Postnikov (Kursk)
Found 57 Documents (Results 1–57)
Mathematical analysis of cycle length-age structured cell population with aggregate transition rule: asynchronous growth property. (English) Zbl 1482.37093
Mathematical analysis of cycle length-age structured cell population with aggregate transition rule: well-posedness. (English) Zbl 1482.37092
The impact of maturation time distributions on the structure and growth of cellular populations. (English) Zbl 1470.92102
Lie symmetries and conservation laws of the Fokker-Planck equation with power diffusion. (English) Zbl 1457.35086
Reviewer: Eugene Postnikov (Kursk)
Cancer evolution: the appearance and fixation of cancer cells. (English) Zbl 1444.92026
Korobeinikov, Andrei (ed.) et al., Extended abstracts Spring 2018. Singularly perturbed systems, multiscale phenomena and hysteresis: theory and applications. Selected papers based on the presentations of the joint 9th international workshop on MUlti-Rate Processes and HYSteresis and the 4th international workshop on hysteresis and slow-fast systems, MURPHYS-HSFS-2018, Barcelona, Spain, May 29 – June 1, 2018. Cham: Birkhäuser. Trends Math., Res. Perspect. CRM Barc. 11, 289-294 (2019).
A model for bone mechanics and remodeling including cell populations dynamics. (English) Zbl 1412.74049
The diffusion limit of transport equations in biology. (English) Zbl 1353.92077
Preziosi, Luigi (ed.) et al., Mathematical models and methods for living systems, Levico Terme, Italy 2014. Based on lectures given at the C.I.M.E.-C.I.R.M. summer school. Cham: Springer; Florence: Fondazione CIME (ISBN 978-3-319-42678-5/pbk; 978-3-319-42679-2/ebook). Lecture Notes in Mathematics 2167. CIME Foundation Subseries, 73-129 (2016).
Time asymptotics for a critical case in fragmentation and growth-fragmentation equations. (English) Zbl 1332.35365
Order-disorder phase transition in heterogeneous populations of self-propelled particles. (English) Zbl 1316.82021
Stabilization in a two-dimensional chemotaxis-Navier-Stokes system. (English) Zbl 1293.35220
Reviewer: Cheng He (Beijing)
Existence of solutions of a two-dimensional boundary value problem for a system of nonlinear equations arising in growing cell populations. (English) Zbl 1447.92342
A spectral problem of transport equations with a proliferating cell population. (Chinese. English summary) Zbl 1289.92047
Self-similarity in a general aggregation-fragmentation problem. Application to fitness analysis. (English) Zbl 1259.35151
Birth, growth and death as structuring operators in bacterial population dynamics. (English) Zbl 1406.92506
Cells and robots. Modeling and control of large-size agent populations. (English) Zbl 1147.93002
Springer Tracts in Advanced Robotics 32. Berlin: Springer (ISBN 978-3-540-71981-6/hbk). xviii, 124 p. (2007).
Reviewer: Silvia Curteanu (Iaşi)
An equation-free approach to analyzing heterogeneous cell population dynamics. (English) Zbl 1123.37051
On the role of physics in the growth and pattern formation of multi-cellular systems: what can we learn from individual-cell based models? (English) Zbl 1118.82033
Polynomial growth dynamics of telomere loss in a heterogeneous cell population. (English) Zbl 0908.92025
Reviewer: Vladimir V.Kisil (Odessa)
A transport equation in cell population dynamics. (Une équation de transport dans la dynamique des populations cellulaires.) (French) Zbl 0835.92025
Branching processes and functional differential equations determining steady-size distributions in cell populations. (English) Zbl 0821.92020
Reviewer: D.R.Grey (Sheffield)
A particle method for population waves. (English) Zbl 0812.92015
Reviewer: Ch.Chiu
Mathematical topics in biology. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, October 15-17, 1990. (Japanese, English) Zbl 0789.92022
A model of proliferating cell populations with correlation of mother- daughter mitotic times. (English) Zbl 0739.92008
Reviewer: Y.Cherruault (Paris)
Transient processes in cell proliferation kinetics. (English) Zbl 0714.92008
Lecture Notes in Biomathematics, 82. Berlin etc.: Springer-Verlag. vi, 214 p. DM 44.00 (1989).
Reviewer: M.Kimmel
Semigroup methods in population dynamics: Proliferating cell populations. (English) Zbl 0699.92018
Semigroup theory and applications, Proc. Conf., Trieste/Italy 1987, Lect. Notes Pure Appl. Math. 116, 441-449 (1989).
Reviewer: G.Di Blasio
\(\alpha\)-and \(\beta\)-curves, sister-sister and mother-daughter correlations in cell population dynamics. (English) Zbl 0688.92011
Theory of cell age distribution in suspension culture with feed and/or drain. (English) Zbl 0681.92017
Growth of cell populations via one-parameter semigroups of positive operators. (English) Zbl 0643.92017
Mathematics applied to science, Mem. E.D. Conway, Proc. Conf., Tulane Univ., New Orleans/La. 1986, 79-105 (1988).
Reviewer: S.Totaro
On the qualitative behaviour of interacting biological cell systems. (English) Zbl 0637.92010
Meet., BIBOS 4, Bielefeld/FRG 1986, Math. Appl., D. Reidel Publ. Co. 42, 381-402 (1988).
Dynamics of first-order partial differential equations used to model self-reproducing cell populations. (English) Zbl 0638.92013
Dynamical systems, Proc. IIASA Workshop, Sopron/Hung. 1985, Lect. Notes Econ. Math. Syst. 287, 207-214 (1987).
Reviewer: G.F.Webb
Asynchronous exponential growth in transition probability models of the cell cycle. (English) Zbl 0625.92013
Reviewer: G.Di Blasio
The dynamics of physiologically structured populations. (English) Zbl 0614.92014
Lecture Notes in Biomathematics, 68. Berlin etc.: Springer-Verlag. XII, 511 p. DM 90.00 (1986).
Reviewer: M.Kimmel
A cell kinetics justification for Gompertz’ equation. (English) Zbl 0608.92012
Reviewer: J.Peil
A model of proliferating cell populations with inherited cycle length. (English) Zbl 0596.92017
Reviewer: G.Di Blasio
Yeast population models for monitoring and control of biotechnical processes. (English) Zbl 0593.92006
Ergodicity and exactness of the shift on C[0,\(\infty)\) and the semiflow of a first-order partial differential equation. (English) Zbl 0602.35070
Reviewer: R.Picard
Growth of cell populations with arbitrarily distributed cycle durations. II. Extended model for correlated cycle durations of mother and daughter cells. (English) Zbl 0526.92020
Growth of cell populations with arbitrarily distributed cycle durations. I. Basic model. (English) Zbl 0526.92019
Optimal scheduling for cell synchronization by cycle-phase-specific blockers. (English) Zbl 0526.92002
On asymptotical solutions of alternative models of the process of competitive inhibition in the cytotoxic T-cell immune reactions. (Russian) Zbl 0509.34057
Issled. Integro-Differ. Uravn. 15, 271-278 (1982).
Positive recurrence of multi-dimensional population-dependent branching processes. (English) Zbl 0442.92025
Biological growth and spread, mathematical theories and applications, Proc. Conf., Heidelberg 1979, Lect. Notes Biomath. 38, 98-108 (1980).
Applications of optimal control theory to immunology. (English) Zbl 0391.92016
Recent Dev. variable Struct. Syst., Econ., Biol.; Proc. US-Italy Semin., Taormina 1977, Lect. Notes Econ. math. Syst. 162, 272-287 (1978).
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