Inference on tissue transplantation experiments

Yue Wang; Boyu Zhang; Jérémie Kropp; Nadya Morozova

doi:10.1016/j.jtbi.2021.110645

Inference on tissue transplantation experiments

Yue Wang, Boyu Zhang, Jérémie Kropp, Nadya Morozova

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We review studies on tissue transplantation experiments for various species: one piece of the donor tissue is excised and transplanted into a slit in the host tissue, then observe the behavior of this grafted tissue. Although we have known the results of some transplantation experiments, there are many more possible experiments with unknown results. We develop a penalty function-based method that uses the known experimental results to infer the unknown experimental results. Similar experiments without similar results get penalized and correspond to smaller probability. This method can provide the most probable results of a group of experiments or the probability of a specific result for each experiment. This method is also generalized to other situations. Besides, we solve a problem: how to design experiments so that such a method can be applied most efficiently.

Original language	English (US)
Article number	110645
Journal	Journal of Theoretical Biology
Volume	520
DOIs	https://doi.org/10.1016/j.jtbi.2021.110645
State	Published - Jul 7 2021

All Science Journal Classification (ASJC) codes

Statistics and Probability
Modeling and Simulation
Biochemistry, Genetics and Molecular Biology(all)
Immunology and Microbiology(all)
Agricultural and Biological Sciences(all)
Applied Mathematics

Keywords

Experimental design
Experimental result inference
Penalty function
Similarity between experiments

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10.1016/j.jtbi.2021.110645

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title = "Inference on tissue transplantation experiments",

abstract = "We review studies on tissue transplantation experiments for various species: one piece of the donor tissue is excised and transplanted into a slit in the host tissue, then observe the behavior of this grafted tissue. Although we have known the results of some transplantation experiments, there are many more possible experiments with unknown results. We develop a penalty function-based method that uses the known experimental results to infer the unknown experimental results. Similar experiments without similar results get penalized and correspond to smaller probability. This method can provide the most probable results of a group of experiments or the probability of a specific result for each experiment. This method is also generalized to other situations. Besides, we solve a problem: how to design experiments so that such a method can be applied most efficiently.",

keywords = "Experimental design, Experimental result inference, Penalty function, Similarity between experiments",

author = "Yue Wang and Boyu Zhang and J{\'e}r{\'e}mie Kropp and Nadya Morozova",

note = "Funding Information: The work of Yue Wang and J{\'e}r{\'e}mie Kropp was supported by the Simons Foundation (IH{\'E}S program of mathematical biology). The work of Nadya Morozova was carried out within the framework of the state assignment to Komarov Botanical Institute RAS No. AAAA-A18-118051590122–8. Funding Information: We would like to thank Dr. Simon Fourquet, Dr. Jie Ren, Dr. Alen Tosenberger, and Dr. Zikun Wang for helpful suggestions, and Prof. Mikhail Gromov, Prof. Robert Penner, and Prof. Hong Qian for fruitful discussions. The work of Yue Wang and J{\'e}r{\'e}mie Kropp was supported by the Simons Foundation (IH{\'E}S program of mathematical biology). The work of Nadya Morozova was carried out within the framework of the state assignment to Komarov Botanical Institute RAS No. AAAA-A18-118051590122–8. Publisher Copyright: {\textcopyright} 2021 Elsevier Ltd",

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doi = "10.1016/j.jtbi.2021.110645",

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AU - Kropp, Jérémie

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PY - 2021/7/7

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N2 - We review studies on tissue transplantation experiments for various species: one piece of the donor tissue is excised and transplanted into a slit in the host tissue, then observe the behavior of this grafted tissue. Although we have known the results of some transplantation experiments, there are many more possible experiments with unknown results. We develop a penalty function-based method that uses the known experimental results to infer the unknown experimental results. Similar experiments without similar results get penalized and correspond to smaller probability. This method can provide the most probable results of a group of experiments or the probability of a specific result for each experiment. This method is also generalized to other situations. Besides, we solve a problem: how to design experiments so that such a method can be applied most efficiently.

AB - We review studies on tissue transplantation experiments for various species: one piece of the donor tissue is excised and transplanted into a slit in the host tissue, then observe the behavior of this grafted tissue. Although we have known the results of some transplantation experiments, there are many more possible experiments with unknown results. We develop a penalty function-based method that uses the known experimental results to infer the unknown experimental results. Similar experiments without similar results get penalized and correspond to smaller probability. This method can provide the most probable results of a group of experiments or the probability of a specific result for each experiment. This method is also generalized to other situations. Besides, we solve a problem: how to design experiments so that such a method can be applied most efficiently.

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KW - Similarity between experiments

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Inference on tissue transplantation experiments

Abstract

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