Branching Process Models of Cancer

· Mathematical Biosciences Institute Lecture Series Aklat 1 · Springer
E-book
63
Mga Page
Hindi na-verify ang mga rating at review  Matuto Pa

Tungkol sa ebook na ito

These notes originated as part of a lecture series on Stochastics in Biological Systems at the Mathematical Biosciences Institute in Ohio, USA. In this contribution the author uses multitype branching processes with mutation to model cancer. With cancer progression, resistance to therapy, the time of the first type $k$ mutation, and $\sigma_k$, the time of the first type $k$ mutation that founds a family line that does not die out, as well as the growth of the number of type $k$ cells. The last three sections apply these results to metastasis, ovarian cancer, and tumor heterogeneity. Even though martingales and stable laws are mentioned, these notes with examples and applications should be accessible to students and researchers who are familiar with Poisson processes and continuous time Markov chains.

Richard Durrett is Professor of Mathematics at Duke University, USA. He is the author of 8 books, over 200 journal articles, and has supervised more than 40 Ph.D. students. Most of his current research concerns the applications of probability to biology, ecology, genetics, and most recently cancer.

Tungkol sa may-akda

Richard Durrett is mathematics professor at Duke University, USA. He is the author of 8 books, over 200 journal articles and has supervised more than 40 Ph.D. students. Most of his current research concerns the applications of probability to biology: ecology, genetics, and most recently cancer.

I-rate ang e-book na ito

Ipalaam sa amin ang iyong opinyon.

Impormasyon sa pagbabasa

Mga smartphone at tablet
I-install ang Google Play Books app para sa Android at iPad/iPhone. Awtomatiko itong nagsi-sync sa account mo at nagbibigay-daan sa iyong magbasa online o offline nasaan ka man.
Mga laptop at computer
Maaari kang makinig sa mga audiobook na binili sa Google Play gamit ang web browser ng iyong computer.
Mga eReader at iba pang mga device
Para magbasa tungkol sa mga e-ink device gaya ng mga Kobo eReader, kakailanganin mong mag-download ng file at ilipat ito sa iyong device. Sundin ang mga detalyadong tagubilin sa Help Center para mailipat ang mga file sa mga sinusuportahang eReader.