Rules and Logics of Scale Free Networks
Derived from the Study of Angiogenesis
ARCH 745 Nonlinear Biosynthesis
Professors Jenny Sabin & Dr. Peter Lloyd Jones
Networking Group 2
Shuni Feng MArch II, Joshua Freese MArch I, Jeffrey Nesbit MArch II
ARCH 999 Independent Study
Shuni Feng, MArch II, Joshua Freese MArch I

Real-time imaging of endothelial cells cultured within a specialized extracellular matrix (ECM) microenvironment, designated the basement membrane, shown with and without PRx-1, formed the basis of this project.
Biological background
Coordinated endothelial cell networking, a component of angiogenesis, is required to form and refine the exquisite fractal network that emerges in the developing and mature lung to facilitate efficient gas exchange from birth onwards.

Networking to Clustering process
1. Left: 3D model (plan) model
2. Right diagrams

Cellular networking in lung tissue formation and regeneration served as a richly informative and educatyional case study in design. A lesson in and a model for rules, logics and ordering systems applicable to the assembly of fixed, deployable, expandable and retractable structures and spaces. Latent with potential to inform, innovate and advance architecture design fabrication and construction processes and methodologies.
Lung vasculature (bronchial arteries, pulmonary arteries, veins, bronchopulmonary and bronchovascular segmental and sub segmental vessels) development and regeneration occurs as cells cluster, building larger networks forming the complex multi-scalar circulatory system within our lungs drastically enhanced when genes such as PRX-1 are introduced to stimulate regenerative growth.
Decision Tree Diagram

Code, environment and component interact at multiple scales simultaneously as single cells pair, group and cluster.
Scale-Free Networking emerged as our project framework:Dynamic behaviors turned processes transferable to rules, logics and syntax of conditional coding, 3D modeling environment for designing generative components in
Bentley Microstation & Generative Components (GC)
Thus, the roles played by Prx-1 (code) and the ECM (environment) are highly influential in creating these circulatory network morphologies by endothelial cells (components).
Process
By studying the breakthrough development and miraculous processes of the complexities of biological science, relationships between code, environment and components, observed and associated provide the framework for our architectural endeavor.
Simultaneous multi-scalar growth from a cellular level building integral circulatory networks for organ development and re-generation translated into our scale-freee networking derived from the study of angiogenesis.
Conditions and behaviors observed in biological scientific experiments established constraints and parameters to develop an architectural project rooted in conditional modeling and simulation of biological behavior and the geometric topology found in developing and regenerative cellular construction of the lung vasculatures.
The methodology, process based development, experimentation, conditional comparisons gave us a new set of tools for doing scientific research, that are directly applicable in architecture, especially when working with parametric, Building Information Modeling and Environmental Building Design where akin to Biology, detailed constraints, experiment, simulations and research need control and precision to ensure the experiments and the results are replicable, comparable, accurate and precise.
Objective
Our research examines and explores a variety of organizational operations in biology and architecture by studying the scale-free networks that define order and relationships in global systems.
Our research examines and explores a variety of organizational operations in biology and architecture by studying the scale-free networks that define order and relationships in global systems.
Network systems, like those in the biological model being studied, rely on intricate complexity produced by layered multi-scalar development and recursion of simple organizing principles that govern behavior at all scales.
The course gave richly informative insight into advanced gene and organ research and development. The biological models and scientific analysis/research introduced dynamic and robustly intelligent system of cellular, tissue and organ development and restoration operate.
An invaluable educational experience, an inspiring gleaming glimpse into the. benefits of interdisciplinary and interdepartmental collaboration with faculty, libraries and facilities/resources from the most sophisticated pair of Professors I had the great opportunity to learn from and work alongside at Penn.
The importance of process, evaluation, experimentation and application of academic research for practical and professional advancement and growth is a rewarding endeavour;
Research projects and courses at Weitzman and at Penn benefit from their disciplinary and departmental integrity as well as through peer evaluation, comparison and cross-referencing and interdisciplinary and interscholastic communication and collaboration.

4 Phase Network Models Sets 1 & 2
4 Phase Network Models Set 3
Clustering effect:
Component mapping to trace and materialize various typologies and conditions depending on network connectivity and clustering criteria.
Network Density/Cell to Component Translation Clustering (Top Left)
Network Density Cell to Component Ratio(Top Right) Component Mapping(Bottom)ARCH 745 4 Phase Networki Models Sets 1 & 2
Top/Bottom Left: Matrix Influence + Component Mapping + Pull In.
Top Right/ Bottom Center: Matrix Influence + Component Mapping + PushOut
Bottom Right: Enlarged detail of Push Out component populated nodal network
Matrix Influence + Coponent Mapping Push IN
Matrix Influence + Component Mapping Pull Out
Stereolithographic model
Perspective view
Perspective view
Stereolithographic models