Title:Towards a Systemic Concept of the Brain Ishemia Stroke: Monte Carlo
Driven in silico Model
Volume: 23
Issue: 10
Author(s): Valentin V. Fursov*, Alexander V. Ananiev and Dmitry A. Kuznetsov
Affiliation:
- D.I. Mendeleev University of Chemical Technology, Moscow, Russia,
- N.I. Pirogov Russian National Research
Medical University, Moscow, Russia
- Peoples' Friendship University of Russia, Moscow, Russia
Keywords:
Biosystem theoretical models, ischemic stroke, in silico, Monte Carlo method, cellular automata, neurovascular unit.
Abstract:
Background: The work proposes a new mathematical model of dynamic processes of a typical
spatially heterogeneous biological system, and sets and solves a mathematical problem of modeling
the dynamics of the system of neurovascular units of the brain in conditions of ischemic stroke.
There is a description of only a small number of mathematical models of stroke in the literature. This
model is being studied and a numerical and software implementation of the corresponding mathematical
problem is proposed.
Methods: This work is the first attempt ever aiming to employ a Monte Carlo computational approach
for In Silico simulation of the most critical parameters in molecular and cellular pathogenesis of the
brain ischemic stroke. In this work, a new mathematical model of the development of ischemic stroke
is proposed in the form of a discrete model based on neurovascular units (NVU) as elements.
Results: As a result of testing the program with the assignment of empirically selected coefficients,
data were obtained on the evolution of the states of the lattice of the cellular automaton of the model
for the spread of stroke in a region of the brain tissue. A resulting new theoretical model of the particular
pathologically altered biosystem might be taken as a promising tool for further studies in neurology;
general pathology and cell biology.
Conclusion: For the first time, a mathematical model has been constructed that allows us to represent
the spatial dynamics of the development of the affected area in ischemic stroke of the brain, taking into
account neurovascular units as single morphofunctional structures.
