Volodin, Andrei. Probability models of neuromuscular junction Synapse. (). King Mongkut's University of Technology North Bangkok. Central Library. : , 2022.
Probability models of neuromuscular junction Synapse
Abstract:
The objective of this research is to develop the probability model enabling to compute the probability of the
acetylcholine release in neuromuscular synapse under different physiological conditions. The main accomplishment
is the construction of the Inverse Polya process model for the probability of the acetylcholine release when the
neuromuscular synapse is vulnerable to a chemical attack. To achieve the goals that have been set, it is required to
solve the following targets. First, establish a method of estimation for the number of the acetylcholine vesicles.
Then, derive a formula for the probability of the acetylcholine vesicle release in neuromuscular synapse under
different conditions. After that, formulate the axioms for the construction of the Inverse Polya process model. Most
importantly, prove the theorem about the probability distribution that satisfy the introduced axioms. For the case of
the chemical effect, a new model, so-called Inverse Polya process was suggested. A differential equation for
happening k events in the Inverse Polya process was derived. Due to this differential equation, we obtain the formula
for the probability of happening exactly k events over time t. Finally, we derive the density function of the random
time of k-th event.
King Mongkut's University of Technology North Bangkok. Central Library
Address:
BANGKOK
Email:
library@kmutnb.ac.th
Created:
2022
Modified:
2025-09-10
Issued:
2025-09-10
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BibliograpyCitation :
In King Mongkut's University of Technology North Bangkok Faculty of Applied Science, Thai Statistical Association (TSA) and Statistics Cooperative Research Network (Statistics CRN). The Proceeding of International Conference on Applied Statistics (ICAS 2022) (pp.24-28). Bangkok : King Mongkut's University of Technology North Bangkok