# Ching-Shan Chou

# Journal Papers

- Betul Senay, Yongcheng Zhou, Adriana Dawes, and
**Ching-Shan Chou**, Formation of pseudo-cleavage furrow during cell polariation in C. Elegans, preprint, 2017. - Marissa Renardy, Leili Shahriyari, Alexandra Jilkine and
**Ching-Shan Chou**, Control of cell fraction and population recovery during tissue regeneration in stem cell lineages, submitted, 2017. - Yanli Wang, Wing-Cheong Lo and
**Ching-Shan Chou**, A modeling study of budding yeast colony formation and its relationship to budding pattern and aging, submitted, 2017. **Ching-Shan Chou**, Weizhou Sun, Yulong Xing and He Yang, Local discontinuous Galerkin methods for the Khokhlov-Zabolotskaya-Kuznetzov equation, accepted,*Journal of Scientific Computing*, 2017.- Yingda Cheng,
**Ching-Shan Chou**Fengyan Li and Yulong Xing, L^2-stable discontinuous Galerkin methods for one-dimensional two-way wave equations,*Mathematics of Computation*, 86(303), pp. 121-155, 2017. - Weitao Chen, Qing Nie, Tau-Mu Yi and
**Ching-Shan Chou**, Modelling of yeast mating reveals robustness strategies for cell-cell interactions, PLoS Computational Biology, 12(7):e1004988, 2016. - Weitao Chen,
**Ching-Shan Chou**and Chiu-Yen Kao, Minimizing eigenvalues for inhomogeneous rods and plates,*Journal of Scientific Computing*, 69(3), pp. 983-1013, 2016. - Mid Eum Lee, Wing-Cheong Lo, Kristi E. Miller,
**Ching-Shan Chou**and Hay-Oak Park, Regulation of Cdc42 polarization by the Rsr1 GTPase and Rga1, a Cdc42 GTPase activating protein, in budding yeast,*Journal of Cell Science*128, pp. 2106-2117, 2015. - Weitao Chen,
**Ching-Shan Chou**and Chiu-Yen Kao, Lax-Friedrichs multigrid fast sweeping methods for steady state problems for hyperbolic conservation laws,*Journal of Scientific Computing*, 64(3), pp. 591-618, 2015. **Ching-Shan Chou**, Travis Moore, Qing Nie and Tau-Mu Yi, Alternative cell polarity behaviours arise from changes in G-protein spatial dynamics,*IET Systems Biology*, 9(2), pp. 52-63, 2015.- Wing-Cheong Lo, Hay-Oak Park and
**Ching-Shan Chou**, Mathematical analysis of spontaneous emergence of cell polarity,*Bulletin of Mathematical Biology*, 76(8), pp. 1835-1865, 2014. **Ching-Shan Chou**, Chi-Wang Shu and Yulong Xing, Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media,*Journal of Computational Physics*, 272(1), pp. 88-107, 2014.- Yulong Xing,
**Ching-Shan Chou**, Chi-Wang Shu, Energy conserving local discontinuous Galerkin methods for wave propagation problems,*Inverse Problem and Imaging*, 7(3), pp. 967-986, 2013. - Wing-Cheong Lo, Mid Eum Lee, Monisha Narayan,
**Ching-Shan Chou**and Hay-Oak Park, Polarization of diploid daughter cells directed by spatial cues and GTP hydrolysis of Cdc42 in budding yeast,*PLoS ONE*, 8(2): e56665, 2013. - Weitao Chen,
**Ching-Shan Chou**and Chiu-Yen Kao, Lax-Friedrichs fast sweeping methods for steady state problems for hyperbolic conservation laws,*Journal of Computational Physics*, 234, pp. 452-471, 2013. **Ching-Shan Chou**, Travis Moore, Qing Nie and Tau-Mu Yi, Signaling regulated endocytosis and exocytosis lead to mating pheromone concentration dependent morphologies in yeast,*FEBS Letters*, 586(23), pp. 4208-4214, 2012.- *Chuan Xue, *
**Ching-Shan Chou,**Chiu-Yen Kao, Chandan K. Sen and Avner Friedman, Propagation of cutaneous thermal injury: a mathematical model,*Wound Repair and Regeneration*, 20(1), pp. 114-122, 2012. (* equal contribution) **Ching-Shan Chou**, Qing Nie and Tau-Mu Yi, Noise filtering tradeoffs in spatial gradient sensing and cell polarization responses,*BMC Systems Biology*, 5(1):196, 2011.- *Zhenzhen Zheng, *
**Ching-Shan Chou**, Tau-Mu Yi and Qing Nie, Mathematical analysis of steady-state solutions in compartment and continuum models of cell polarization,*Mathematical Biosciences and Engineering*, 8(4), pp 1135-1168, 2011. (* equal contribution) **Ching-Shan Chou**, Wing-Cheong Lo, Kimberly K. Gokoffski, Yong-Tao Zhang, Frederic Y.M. Wan, Arthur D. Lander, Anne L. Calof and Qing Nie, Spatial dynamics of multistage cell lineages in tissue stratification,*Biophysical Journal*, 99(10), pp 3145-3154, 2010.- Wing-Cheong Lo,
**Ching-Shan Chou**, Kimberly K. Gokoffski, Frederic Y.M. Wan, Arthur D. Lander, Anne L. Calof and Qing Nie, Feedback regulation in multistage cell lineages,*Mathematical Biosciences and Engineering*, 6(1), pp 59-82, 2009. - Travis I. Moore,
**Ching-Shan Chou**, Qing Nie, Noo Li Joen and Tau-Mu Yi, Robust spatial sensing of mating pheromone gradients by yeast cells,*PLoS ONE*, 3(12):e3865, 2008. **Ching-Shan Chou**, Qing Nie and Tau-Mu Yi, Modeling robustness tradeoffs in yeast cell polarization induced by spatial gradients*, PLoS ONE*, 3(9):e3103, 2008.- Tau-Mu Yi, Shanqin Chen,
**Ching-Shan Chou**and Qing Nie, Modeling yeast cell polarization induced by pheromone gradients,*Journal of Statistical Physics*, 128(1), pp. 193-207, 2007. **Ching-Shan Chou**, Yong-Tao Zhang, Rui Zhao and Qing Nie, Numerical methods for stiff reaction-diffusion systems,*Discrete and Continuous Dynamical Systems - Series B*, 7(3), pp. 515-525, 2007.**Ching-Shan Chou**and Chi-Wang Shu, High order residual distribution conservative finite difference WENO schemes for convection-diffusion steady state problems on non-smooth meshes,*Journal of Computational Physics*, 224, pp. 992-1020, 2007.**Ching-Shan Chou**and Chi-Wang Shu, High order residual distribution conservative finite difference WENO schemes for steady state problems on non-smooth meshes,*Journal of Computational Physics*, 214, pp. 698-724, 2006.

# Book

**Introduction to Mathematical Biology (Modeling, Analysis, and Simulations)**, by Ching-Shan Chou and Avner Friedman, Springer International Publishing, 2016. (eBook ISBN: 978-3-319-29638-8; Hardcover ISBN: 978-3-319-29636-4)

MATLAB m-files are available for the numerical sections in this book.