Nucleated polymerization with secondary pathways. I. Time evolution of the principal moments.

Self-assembly processes resulting in linear structures are often observed in molecular biology, and include the formation of functional filaments such as actin and tubulin, as well as generally dysfunctional ones such as amyloid aggregates. Although the basic kinetic equations describing these phenomena are well-established, it has proved to be challenging, due to their non-linear nature, to derive solutions to these equations except for special cases. The availability of general analytical solutions provides a route for determining the rates of molecular level processes from the analysis of macroscopic experimental measurements of the growth kinetics, in addition to the phenomenological parameters, such as lag times and maximal growth rates that are already obtainable from standard fitting procedures. We describe here an analytical approach based on fixed-point analysis, which provides self-consistent solutions for the growth of filamentous structures that can, in addition to elongation, undergo internal fracturing and monomer-dependent nucleation as mechanisms for generating new free ends acting as growth sites. Our results generalise the analytical expression for sigmoidal growth kinetics from the Oosawa theory for nucleated polymerisation to the case of fragmenting filaments. We determine the corresponding growth laws in closed form and derive from first principles a number of relationships which have been empirically established for the kinetics of the self-assembly of amyloid fibrils.

Buyer-supplier relationships in a servitized environment: An examination with Cannon and Perreault's framework

Purpose: The purpose of this study is to examine a buyer's adoption of servitization and the associated implications for the relationships with its suppliers. Design/methodology/approach: The authors use the case study approach to examine the tripartite relationship between a manufacturing company and two of its two suppliers. The paper explores the perspectives of employees on multiple organisational levels, and collects evidence on both sides of a relationship. The authors use template analysis utilising Cannon and Perreault's relationship connectors framework to analyse the data. Findings: There are overarching implications of servitization adoption for buyer-supplier relationships. The implications are notable in all five relationship connectors. Parties expected more open exchange of information, operational linkages were strengthened and changes in the structural arrangements of relationships were witnessed. Legal contracts are complemented by relational norms. The authors also observed a departure away from a win-lose mentality and increased levels of supplier adaptation to support the buyer's provision of integrated solutions. Research limitations/implications: The findings are confined to this tripartite relationship and to an extent are context specific. Practical implications: The study unveils buyer-supplier relationships in a servitized context and provides managers with a better understanding of some of the potential implications that the adoption of a servitization strategy may have for managing buyer-supplier relationships. Originality/value: This is the first empirical study that explores the implications of servitization on buyer-supplier relationships. It advances the understanding of the implications that the adoption of servitization has on the manner in which two parties interrelate and conduct commercial exchange. © Emerald Group Publishing Limited.