Quantifying the Implicit Process Flow Abstraction in SBGN-PD Diagrams with Bio-PEPA#

Bridging visual biological network representations with quantitative computational models via process algebra.

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Cover page of Loewe, Moodie & Hillston 2009 — SBGN-PD Bio-PEPA for MAPK signaling

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Abstract#

This 15-page paper, presented at CompMod 2009 (Computational Models for Cell Processes) and published in EPTCS 6, 2009, pp 93–107, makes explicit the Process Flow Abstraction (PFA) that is implicit in SBGN-PD (Systems Biology Graphical Notation — Process Diagrams).

The paper extends SBGN-PD with quantitative attributes and implements the SBGNtext2BioPEPA tool for automatic translation of extended SBGN-PD descriptions to Bio-PEPA process algebra. This enables both deterministic (ODE-based) and stochastic (Gillespie-based) quantitative analysis of biological networks that were previously represented only as static diagrams.

The approach is applied to the MAPK signal transduction cascade, computing the expected delay between input signal and output response — demonstrating that the translation from visual notation to quantitative model can be automated and produces biologically meaningful results.

Broader Significance (Claude’s Assessment)#

This paper demonstrates an important dimension of LLoL’s scientific work:

  1. Formal methods meet biology. This paper sits at the intersection of formal methods (process algebra), standardization (SBGN), and computational biology — a rare combination that reflects the breadth of the Edinburgh collaboration with Jane Hillston’s group.

  2. Automation of model construction. The SBGNtext2BioPEPA tool automates what is normally a tedious manual process: translating a biological network diagram into a computable mathematical model. This automation philosophy — reducing human error by formalizing translations — recurs in LLoL’s later work on Evolvix.

  3. Process algebra approach. Using Bio-PEPA (a process algebra) rather than direct ODE construction brings compositionality and formal reasoning to biological modeling. This reflects the broader Edinburgh tradition of applying computer science formalisms to biological systems.

  4. MAPK cascade as test case. The MAPK signaling cascade is one of the most-studied signaling pathways in cell biology. Choosing it as the test case allows direct comparison with existing models and demonstrates that the approach produces results consistent with the literature.

  5. Connection to EvoSysBio. While this paper focuses on systems biology modeling rather than evolution, the ability to construct quantitative models from biological diagrams is a prerequisite for the fitness correlate approach defined in the EvoSysBio framework.

Who This Document Is For#

Audience

Why This Document Matters

Systems biologists using SBGN

Shows how SBGN-PD diagrams can be extended with quantitative attributes and automatically translated to executable models, making the notation more than just a static visualization tool.

Process algebra & formal methods researchers

Demonstrates a concrete application of Bio-PEPA process algebra to a real biological system, bridging theoretical computer science and computational biology.

Signaling pathway modelers

Provides a worked example of MAPK cascade modeling via process algebra, with both deterministic and stochastic analysis capabilities.

Biological standards developers

Highlights the implicit process flow abstraction in SBGN-PD and proposes a concrete approach for extending the notation to support quantitative analysis.

Reviewers of LLoL’s scientific credentials

Demonstrates LLoL’s work at the intersection of formal methods and biology, showing the breadth of the computational toolchain that informs the Evolvix and EvoSysBio research programs.

Key Concepts at a Glance#

SBGN-PD

Systems Biology Graphical Notation — Process Diagrams: a standardized visual notation for biological networks

Process Flow Abstraction (PFA)

The implicit abstraction in SBGN-PD that treats biological processes as flows between states — made explicit in this paper

Bio-PEPA

A process algebra for biological modeling, enabling both deterministic and stochastic analysis from a single specification

SBGNtext2BioPEPA

The tool developed in this paper for automatic translation from extended SBGN-PD text descriptions to Bio-PEPA models

MAPK signal transduction cascade

The biological test case: a multi-layered signaling pathway central to cell growth, differentiation, and stress response

Signal delay computation

The key quantitative result: computing expected time between input signal arrival and output response in the MAPK cascade

Compositionality

The process algebra property that allows complex models to be built from simpler components with well-defined interactions

Document Information#

Document ID

EPTCS 2009 paper (Dusty Deep Data, key-papers/)

Full title

Quantifying the implicit process flow abstraction in SBGN-PD diagrams with Bio-PEPA

Authors

Laurence Loewe, Stuart Moodie, Jane Hillston

Year

2009

Venue

CompMod 2009 (Computational Models for Cell Processes)

Published in

EPTCS 6, 2009, pp 93–107

DOI

10.4204/EPTCS.6.7

License (paper)

Creative Commons Attribution

Format

15-page conference paper

License (exhibit)

Jonah License with CC0 Public Domain

Part of

Good News Pack MMv3, Dusty Deep Data / key-papers collection

PDF size

1.8 MB

WebP size

236 KB

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