Approximate Solutions of a General Stochastic Velocity-Jump Model Subject to Discrete-Time Noisy Observations.

ABSTRACT: Advances in experimental techniques allow the collection of high-resolution spatio-temporal data that track individual motile entities over time. These tracking data motivate the use of mathematical models to characterise the motion observed. In this paper, we aim to describe the solutions of velocity-jump models for single-agent motion in one spatial dimension, characterised by successive Markovian transitions within a finite network of n states, each with a specified velocity and a fixed rate of switching to every other state. In particular, we focus on obtaining the solutions of the model subject to noisy, discrete-time, observations, with no direct access to the agent state. The lack of direct observation of the hidden state makes the problem of finding the exact distributions generall

SUBMITTER: Ceccarelli A 

PROVIDER: S-EPMC11937228 | biostudies-literature | 2025 Mar

REPOSITORIES: biostudies-literature