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3 results on '"Huiwen Yan"'

1. Asymmetric division of stem cells and its cancer relevance

Author

Shanshan Chao, Huiwen Yan, and Pengcheng Bu

Subjects
Stem cell, Asymmetric division, Cell fate, Cancer, Medicine (General), R5-920, Biology (General), QH301-705.5
Abstract

Abstract Asymmetric division is a fundamental process for generating cell diversity and maintaining the stem cell population. During asymmetric division, proteins, organelles, and even RNA are distributed unequally between the two daughter cells, determining their distinct cell fates. The mechanisms orchestrating this process are extremely complex. Dysregulation of asymmetric division can potentially trigger cancer progression. Cancer stem cells, in particular, undergo asymmetric division, leading to intra-tumoral heterogeneity, which contributes to treatment refractoriness. In this review, we delve into the cellular and molecular mechanisms that govern asymmetric division and explore its relevance to tumorigenesis.

Published
2024
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3. A Variational Inequality from Pricing Convertible Bond

Author

Huiwen Yan and Fahuai Yi

Subjects
Partial differential equation, Algebra and Number Theory, Bond, Applied Mathematics, lcsh:Mathematics, Differential operator, lcsh:QA1-939, Bond valuation, Bounded function, Ordinary differential equation, Variational inequality, Convertible bond, Mathematical economics, Analysis, Mathematics
Abstract

The model of pricing American-style convertible bond is formulated as a zero-sum Dynkin game, which can be transformed into a parabolic variational inequality (PVI). The fundamental variable in this model is the stock price of the firm which issued the bond, and the differential operator in PVI is linear. The optimal call and conversion strategies correspond to the free boundaries of PVI. Some properties of the free boundaries are studied in this paper. We show that the bondholder should convert the bond if and only if the price of the stock is equal to a fixed value, and the firm should call the bond back if and only if the price is equal to a strictly decreasing function of time. Moreover, we prove that the free boundaries are smooth and bounded. Eventually we give some numerical results.

Published
2011

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