Title: Formal descriptions for formulation Author: Hervé This* Affiliation INRA Team of Molecular Gastronomy Laboratoire de chimie des interactions

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Title: Formal descriptions for formulation Author: Hervé This* Affiliation INRA Team of Molecular Gastronomy, Laboratoire de chimie des interactions moléculaires (Collège de France) and UMR 214-Laboratoire de chimie (AgroParisTech), 16 rue Claude Bernard, 75005 Paris, France * Tel: . Fax : . Email: Abstract Two formalisms used to describe the physical microstructure and the organization of formulated products are given. The first, called “complex disperse systems formalism” (CDS formalism) is useful for the description of the physical nature of disperse matter. The second, called “non periodical organizational space formalism” (NPOS formalism) has the same operators as the CDS formalism, but different elements; it is useful to describe the arrangement of any objects in space. Both formalisms can be viewed as the same, applied to different orders of magnitude for spatial size. Keywords: Molecular Gastronomy; Formalisms; Food; Disperse systems Article Outline 1. Introduction 2. Soft matter description 2.1. CDS formalism 2.2. Using formula 2.3. A wealth of new dishes 2.4. Application to sauces 3. Describing the non-periodical organization of space 4. Questions about using formalisms 1. Introduction Food, drugs, cosmetics and other formulated products are generally complex chemical and physical systems (Dickinson, 2006, Cotte, 1992, Teisseire, 1991).

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Title: Formal descriptions for formulation Author: Hervé This* Affiliation INRA Team of Molecular Gastronomy, Laboratoire de chimie des interactions moléculaires (Collège de France) and UMR 214-Laboratoire de chimie (AgroParisTech), 16 rue Claude Bernard, 75005 Paris, France * Tel: +33 1 44 08 72 90. Fax : +33 1 44 08 16 53. Email: herve.this@paris.inra.fr Abstract Two formalisms used to describe the physical microstructure and the organization of formulated products are given. The first, called “complex disperse systems formalism” (CDS formalism) is useful for the description of the physical nature of disperse matter. The second, called “non periodical organizational space formalism” (NPOS formalism) has the same operators as the CDS formalism, but different elements; it is useful to describe the arrangement of any objects in space. Both formalisms can be viewed as the same, applied to different orders of magnitude for spatial size. Keywords: Molecular Gastronomy; Formalisms; Food; Disperse systems Article Outline 1. Introduction 2. Soft matter description 2.1. CDS formalism 2.2. Using formula 2.3. A wealth of new dishes 2.4. Application to sauces 3. Describing the non-periodical organization of space 4. Questions about using formalisms 1. Introduction Food, drugs, cosmetics and other formulated products are generally complex chemical and physical systems (Dickinson, 2006, Cotte, 1992, Teisseire, 1991). They are generally composed of many parts, each made of different phases aqueous solution, gas, fats…), and their organoleptic (for food) or bioactive (for drugs) properties result from the spatial distribution of their molecules (Belitz and Grosch, 1999). Here we shall

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