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2024 NCTS Summer Course on Mathematical Biology
 
10:00-12:00, 14:00-16:00, July 29- July 30, 2024
Room 505+Online Meeting, Cosmology Building, NTU

Speaker(s):
Naveen K. Vaidya (San Diego State University)
Wei-Ting Hung (National Taiwan University)


Organizer(s):
Feng-Bin Wang (Chang Gung University)
Chang-Hong Wu (National Yang Ming Chiao Tung University )
Chang-Yuan Cheng (National Kaohsiung Normal University)


1. Course Background&Purposes

The brain is a critical reservoir of HIV (Human Immunodeficiency Virus), causing viral persistence under antiretroviral therapy, mainly because the blood-brain barrier (BBB) posesan obstacle to the entry of antiretroviral drugs into the brain. In this summer course, we will introduce mathematical models describing the dynamics of HIV. We will also discuss how the fitting of the developed models into experimental data in humans and monkeys can be used to validate the models and estimate model parameters. Besides, the Tumor evolution will also be introduced in this summer course.

 

2. Course Outline&Descriptions

Lecture-1:

Title:With in-Host Models of HIV Infection

Speaker:NaveenK.Vaidya(SanDiegoStateUniversity) Time: 10:00-12:00, July 29, 2024

Abstract: In this lecture, I will discuss the ways of developing various mathematical modelsto describe within-host HIV infection dynamics. I will further discuss how the basic models can be extended to HIV dynamics under drugs of abuse. Furthermore, I will show the methods of incorporating the effects of antiretroviral therapy into the models.

Lecture-2:

Title: HIV-Infection Data, Model Validity, and Parameter Estimation

Speaker: Naveen K. Vaidya (San Diego State University)

Time: 14:00-16:00, July 29, 2024

Abstract: In this lecture, I will present the computational methods for model simulations. I will discuss how the fitting of the developed models into experimental data in humans and monkeys can be used to validate the models and estimate model parameters. For estimates of these parameters, I will also compute confidence intervals.

Lecture-3:

Title:UncertaintyandSensitivityanalysisonHIVModels

Speaker: Naveen K. Vaidya (San Diego State University)

Time: 10:00-12:00, July 30, 2024

Abstract: In this lecture, I will discuss the methods for uncertainty and sensitivity analysis of HIV models. I will explore both the local and global sensitivity of the model outputs.

Lecture-4:

Lecture-4:
 
Title: From Mutations to Mathematics: Understanding Cancer Evolution (II)
 
Speaker: Wei-TingHung (College of Medicine, National Taiwan University)
 
Time: 14:00-16:00, July 30, 2024
 
Abstract: Regardless of decades of efforts, cancer remains an undefeated beast for mankind, bringing suffering and sorrows to individuals and their families. Fundamental questions are still unknown, such as: Which cells are the ancestors of metastases? Where are they from and when do they start to spread out? Answering these questions will provide a sound scientific basis for the development of effective treatments. The previous presentation at NCTS Seminar on Mathematical Biology introduced the power of having both a biological and a mathematical mindset against unsolved questions in cancer biology. This presentation will focus on the weakness of the current methodology, as well as discuss questions under investigation and how mathematics can help to resolve these issues.

 

3. Registration

https://forms.gle/mhzJDpZ4YPxyVvgU9 (deadline: July 17)



Contact: Murphy Yu (murphyyu@ncts.tw)

Poster: events_3_327240605163066554.pdf


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