Luria and Delbrück introduced a very useful and subsequently widely adopted framework for quantitatively understanding the emergence of new cellular lineages. Here, we provide an analytical treatment of the fully stochastic version of the model, enabled by the fact that population sizes at the time of measurement are invariably very large and mutation rates are low. We show that the Lea-Coulson...

A reaction network is a chemical system involving multiple reactions and chemical species. Stochastic models of such networks treat the system as a continuous time Markov chain on the number of molecules of each species with reactions as possible transitions of the chain. In many cases of biological interest some of the chemical species in the network are present in much greater abundance than ...

A class of signaling games is studied in which a unique Universally Divine equilibrium outcome exists. We identify a monotonicity property under which a variation of Universal Divinity is generically equivalent to strategic stability. Further assumptions guarantee the existence of a unique Universally Divine outcome. Journal of Economic Literature Classification Numbers: 021, 022, 026. ‘r 1990 ...

Deterministically growing (wild-type) populations which seed stochastically developing mutant clones have found an expanding number of applications from microbial populations to cancer. The special case of exponential wild-type population growth, usually termed the Luria-Delbrück or Lea-Coulson model, is often assumed but seldom realistic. In this article, we generalise this model to different ...

BACKGROUND Entecavir is a potent nucleoside analogue for treating chronic hepatitis B (CHB). Quantitative hepatitis B surface antigen (qHBsAg) levels are predictive of response to interferon-α in CHB treatment; however, the clinical utility of qHBsAg in nucleoside/nucleotide analogue-based CHB therapy is not fully characterized. This study assessed changes in qHBsAg in patients treated with ent...

This paper proves sufficient conditions under which a completely separable order on non-convex sets can be represented by an additively separable function. The two major requirements are that indifference curves are connected and that intersections of the domain of the order with parallel-to-the-axes hyperplanes are connected. Jourrzal of Economic Literature Classification Numbers: 020, 022. c ...

Faculty of Mechanical Engineering, Sardar Raja College of Engineering, Alangulam, Tirunelveli 627 808, India Faculty of Mechanical Engineering, Government College of Engineering, Tirunelveli 627 007, India Faculty of Mechanical Engineering, Alagappa Chettiar College of Engineering and Technology, Karaikudi 630 002, India Structural Analysis and Testing Group, Vikram Sarabhai Space Centre, Triva...

A weaker than usual continuity property is defined for binary relations. Relations that have this property, along with certain transitivity properties, are shown to have maximal elements on compact sets. The results cover “interval orders,” the kind of relations that often characterize choice situations in which similar alternatives are indistinguishable. Journal of‘ Economic Literature Classif...