Unlimited multistability and Boolean logic in microbial signaling Supplementary Text Proof of mathematical statements

نویسندگان

  • Varun B Kothamachu
  • Elisenda Feliu
  • Luca Cardelli
  • Orkun S Soyer
چکیده

1 The core model for the hybrid histidine kinase 1 1.1 Model description . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Positive steady states . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.3 Necessary conditions for bistability . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.4 Necessary and sufficient conditions for bistability . . . . . . . . . . . . . . . . . 4

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Unlimited multistability and Boolean logic in microbial signalling

The ability to map environmental signals onto distinct internal physiological states or programmes is critical for single-celled microbes. A crucial systems dynamics feature underpinning such ability is multistability. While unlimited multistability is known to arise from multi-site phosphorylation seen in the signalling networks of eukaryotic cells, a similarly universal mechanism has not been...

متن کامل

Systematic literature review of fuzzy logic based text summarization

Information Overloadrq  is not a new term but with the massive development in technology which enables anytime, anywhere, easy and unlimited access; participation & publishing of information has consequently escalated its impact. Assisting userslq    informational searches with reduced reading surfing time by extracting and evaluating accurate, authentic & relevant information are the primary c...

متن کامل

Supporting Information S2 TEXT. MATHEMATICAL FOUNDATIONS OF THE ATTRACTOR-FINDING METHOD AND OF THE STABLE MOTIF CONTROL APPROACH

In this part we describe the methods used in our work in a formal way. Part of the text in section A is adapted from our previous work (ref. [41]). For the propositions, lemmas, and theorems in section A, which we proved in our previous work [41], we restrict ourselves to reproducing their statements and explaining their meaning, and refer the reader to our previous work [41] for the proof. In ...

متن کامل

Towards a Cut-free Sequent Calculus for Boolean BI

The logic of bunched implications (BI) of O’Hearn and Pym [5] is a substructural logic which freely combines additive connectives ⊃ , ∧, ∨ from propositional logic and multiplicative connectives −?, ? from linear logic. Because of its concise yet rich representation of states of resources, BI is regarded as a logic suitable for reasoning about resources. For example, by building a model for BI ...

متن کامل

Using boolean and fuzzy logic combined with analytic hierarchy process for hazardous waste landfill site selection: A case study from Hormozgan province, Iran

Hazardous wastes include numerous kinds of discarded chemicals and other wastes generated from industrial, commercial, and institutional activities. These types of waste present immediate or long-term risks to humans, animals, plants, or the environment and therefore require special handling for safe disposal. Landfills that can accept hazardous wastes are excavated or engineered sites where th...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2014