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Kritchayaporn Sornsupee. Probability models of the neuromuscular junction synapse. Master's Degree(Applied Statistics). Thammasat University. Thammasat University Library. : Thammasat University, 2022.
Probability models of the neuromuscular junction synapse
Name: Kritchayaporn Sornsupee
keyword:
Inverse Pólya process
Abstract:
The objective of this thesis is to develop the probability model enabling to compute the probability of the acetylcholine release in neuromuscular junction synapse under different physiological conditions. The main accomplishment is the construction of the Inverse Pólya 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 Pólya 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 Pólya process was suggested. A differential equation for happening k events in the Inverse Pólya 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
Thammasat University. Thammasat University Library
Address:
BANGKOK
Email:
preserv@tu.ac.th
Name: Kamon Budsaba
Role:
advisor
Role:
co-advisor
Created:
2022
Modified:
2023-06-30
Issued:
2023-06-30
วิทยานิพนธ์/Thesis
application/pdf
eng
DegreeName: Master of Science
Level: Master's Degree
Descipline: Applied Statistics
Grantor: Thammasat University
©copyrights Thammasat University
RightsAccess:
ใช้เวลา
0.023712 วินาที
Kritchayaporn Sornsupee
| Title | Contributor | Type |
|---|---|---|
| Probability models of the neuromuscular junction synapse
มหาวิทยาลัยธรรมศาสตร์ Kritchayaporn Sornsupee | Kamon Budsaba Volodin, Andrei Igorevich | วิทยานิพนธ์/Thesis |
Kamon Budsaba
Volodin, Andrei Igorevich