This book presents a concise introduction to piecewise deterministic Markov processes (PDMPs), with particular emphasis on their applications to biological models. Further, it presents examples of biological phenomena, such as gene activity and population growth, where different types of PDMPs appear: continuous time Markov chains, deterministic processes with jumps, processes with switching dynamics, and point processes. Subsequent chapters present the necessary tools from the theory of stochastic processes and semigroups of linear operators, as well as theoretical results concerning the long-time behaviour of stochastic semigroups induced by PDMPs and their applications to biological models. As such, the book offers a valuable resource for mathematicians and biologists alike. The first group will find new biological models that lead to interesting and often new mathematical questions, while the second can observe how to include seemingly disparate biological proc esses into a unified mathematical theory, and to arrive at revealing biological conclusions. The target audience primarily comprises of researchers in these two fields, but the book will also benefit graduate students.
This book presents a concise introduction to piecewise deterministic Markov processes (PDMPs), with particular emphasis on their applications to biological models. Further, it presents examples of biological phenomena, such as gene activity and population growth, where different types of PDMPs appear: continuous time Markov chains, deterministic processes with jumps, processes with switching dynamics, and point processes. Subsequent chapters present the necessary tools from the theory of stochastic processes and semigroups of linear operators, as well as theoretical results concerning the long-time behaviour of stochastic semigroups induced by PDMPs and their applications to biological models. As such, the book offers a valuable resource for mathematicians and biologists alike. The first group will find new biological models that lead to interesting and often new mathematical questions, while the second can observe how to include seemingly disparate biological proc esses into a unified mathematical theory, and to arrive at revealing biological conclusions. The target audience primarily comprises of researchers in these two fields, but the book will also benefit graduate students.
Collection of selected works of Ryszard Kapuscinski recounting the end of Africa's colonial rule, and the great social and political changes as seen through an ordinary African.
Ryszard Kapuscinski is widely regarded as one of the twentieth century's preeminent journalists, demonstrating an almost mystical ability to discover the odd or overlooked and incorporating these sometimes surreal details into narratives that go beyond mere reportage and enter the realm of literature. Another Day of Life" is Kapuscinski's dramatic account of the three months he spent in Angola at the beginning of its decades' long civil war. The capital, Luanda, is occupied only by those not fortunate enough to flee. When even the dogs abandoned by the Europeans leave, Kapuscinski decides to go to the front, where the wrong greeting could cost your life and where young soldiers-from Cuba, Russia, South Africa, Portugal-are fighting a war with global repercussions. With harrowing detail, Kapuscinski shows us the peculiar brutality of a country divided by its newfound freedom. Translated from the Polish by William R. Brand and Katarzyna Mroczkowska-Brand.
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