Sophia Jang 教授

Department of Mathematics & Statistics, Texas Tech University

時間: 112年  5  月 11 日 15:10~16:00

地點: 靜安325

演講連結: 如要加入這場視訊會議，請按一下這個連結：https://meet.google.com/uyh-nysv-upd

你也可以透過電話加入通話，只要撥打 +1 669-220-6988，然後輸入以下 PIN 碼即可：843 192 363#

 

演講題目:

The effects of delay in oncolytic viral therapy resistance

摘要:

Drug resistance is a common phenomenon in the treatment of cancer. As with other cancer therapies, treatment failure due to resistance also occurs for the oncolytic viral therapy (OVT). In this talk, we introduce a simple deterministic model of tumor-virus interaction to investigate OVT resistance. The free oncolytic viruses are modeled explicitly as one compartment and the tumor cells are classified as either susceptible, resistant, or infected. Since there is a time delay from the initial viral infection to the time when infected cells are able to infect other tumor cells, we also study a model of delay differential equations. The deterministic model framework is then applied to formulate models of continuous-time Markov chains and stochastic differential equations. Numerical simulations are performed for these models using plausible parameter values from the literature. We end the talk with biological conclusions and outline possible future directions.

 

Sophia Jang 教授

Department of Mathematics & Statistics, Texas Tech University

時間: 112年  5  月 11 日 16:10~17:00

地點: 靜安325

演講連結: 如要加入這場視訊會議，請按一下這個連結：https://meet.google.com/uyh-nysv-upd

你也可以透過電話加入通話，只要撥打 +1 669-220-6988，然後輸入以下 PIN 碼即可：843 192 363#

 

演講題目:

Dynamics of a population in two patches with dispersal

摘要:

A two-dimensional discrete system of a species in two patches proposed by Newman et al. is studied. It is shown that the unique positive steady state is globally asymptotically stable if the active population has a Beverton–Holt type growth rate. If the population is also subject to Allee effects, then the system has two positive steady states whenever the density-independent growth rate is large. In addition, the model has period-two solutions if the symmetric dispersal exceeds a critical threshold. For small dispersal, populations may either go extinct or eventually stabilize. However, populations are oscillating over time if dispersal is beyond the critical value and the initial populations are large.