Point processes and geometric inequalities

A reference-calibrated spatial-statistical framework for quantifying stroma-tumor cell spatial associations from histology and its geometric limits

This paper introduces a spatial-statistical framework to quantify stroma-tumor cell interactions from histology, showing geometric limits and applying it to identify proliferation bias in cancer.

netPCF: Geometry-Aware Pair Correlation Functions for Spatial Biology

The paper introduces netPCF, a geometry-aware method for quantifying spatial organisation on complex biological domains, showing its utility in biological applications.

A partition-based spatial entropy for co-occurrence analysis with broad application.

The paper introduces a new spatial entropy measure, RCE, to analyze categorical co-occurrences in spatial data across various fields, identifying environment-dependent interactions.

Exact Expectation of Complete Spatial Randomness for Nearest Neighbor G(r): A Scalable Alternative to Permutations

The paper provides exact analytical solutions for the mean and variance of the Nearest Neighbor G(r) spatial metric under complete spatial randomness, avoiding computationally expensive permutations.

Analysing diffusion limited processes in a cylinder using pair-correlation functions

This study develops and evaluates pair-correlation functions for analyzing diffusion-limited processes in cylindrical domains, showing their utility in capturing spatial patterns across various applications.

Applying the area fraction fractionator (AFF) probe for total volume estimations of somatic, dendritic and axonal domains of the nigrostriatal dopaminergic system in a murine model

The paper describes a protocol to estimate total volumes of nigrostriatal dopaminergic domains in mice using stereological methods and provides volume proportions for different cellular components.

Investigating Ecological Interactions in the Tumor Microenvironment using Joint Species Distribution Models for Point Patterns

This paper applies a multitype Gibbs point process model to colorectal cancer imaging data to analyze spatial interactions between cell types in the tumor microenvironment.

Length measurement of cholinergic innervation in the tunica albuginea of rat testis.

The paper develops a stereological method to measure cholinergic nerve fiber length in rat testis albuginea using cycloid grids on whole mounts.

Validation of a stereological method for estimating particle size and density from 2D projections with high accuracy

The paper validates the Keiding model for estimating 3D particle size and density from 2D projections using electron-tomography data and shows it provides accurate estimates under various conditions.

The expected behaviour of random fields in high dimensions: contradictions in the results of Bansal and Peterson (2018)

This paper shows that Bansal and Peterson's (2018) findings about Random Field Theory are incorrect due to coding errors, and that the theory correctly predicts cluster numbers in Gaussian fields.

Testing hypotheses on population dynamics: A test for the inhomogeneous Poisson point process model

The paper introduces a statistical test for population dynamics based on the inhomogeneous Poisson point process model, claiming it is optimal with minimal type 2 error.