Stochastic geometry and related statistical problems in biomedicine

DOI10.1007/88-470-0396-2_2zbMath1387.92047OpenAlexW5899496MaRDI QIDQ4638229

Alessandra Micheletti, Vincenzo Capasso

Publication date: 4 May 2018

Published in: Complex Systems in Biomedicine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/88-470-0396-2_2

zbMATH Keywords

angiogenesistumor growthstochastic geometrybirth-and-growth processesgeometric densitiesstatistics of stochastic geometries

Mathematics Subject Classification ID

Applications of branching processes (60J85) Medical applications (general) (92C50) Developmental biology, pattern formation (92C15)

Related Items (8)

Asymptotic results for multivariate estimators of the mean density of random closed sets ⋮ On the estimation of the mean density of random closed sets ⋮ On the approximation of mean densities of random closed sets ⋮ A geometric dissimilarity criterion between Jordan spatial mosaics. Theoretical aspects and application to segmentation evaluation ⋮ Large and moderate deviations for kernel-type estimators of the mean density of Boolean models ⋮ Stochastic geometric models, and related statistical issues in tumour-induced angiogenesis ⋮ Modelling biological cell attachment and growth on adherent surfaces ⋮ Mathematical tools of the kinetic theory of active particles with some reasoning on the modelling progression and heterogeneity

Cites Work

• Using low-discrepancy sequences and the Crofton formula to compute surface areas of geometric models
• Continuous and discrete mathematical models of tumor-induced angiogenesis
• Lectures on random Voronoi tessellations
• Individual-based approaches to birth and death in avascular tumors
• Mathematical modelling for polymer processing. Polymerization, crystallization, manufacturing
• Modelling multi-dimensional crystallization of polymers in interaction with heat transfer.
• Local Spherical Contact Distribution Function And Local Mean Densities For Inhomogeneous Random Sets
• Mesoscale Averaging of Nucleation and Growth Models
• Random Johnson-Mehl tessellations
• The stochastic geometry of polymer crystallization processes¹
• The chemical basis of morphogenesis
• Front Propagation and Phase Field Theory
• On the Continuity and Absolute Continuity of Random Closed Sets
• Set-valued maps for image segmentation
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