Abstract

The philosophical literature on modelling is increasingly vast, however clear formal analyses of computational modelling in systems biology are still lacking. We present a general, theoretical scheme which (i) visualizes the development and repeated refinement of a computer simulation, (ii) explicates the relation between different key concepts in modelling and simulation, and (iii) facilitates tracing the epistemological dynamics of model validation. To illustrate and motivate our conceptual scheme, we analyse a case study, the discovery of the functional properties of a specific protein, E-cadherin, which seems to have a key role in metastatic processes by way of influencing cell growth and proliferation signalling. To this end we distinguish two types of causal claims inferred from a computer simulation: (i) causal claims as plain combinations of basic rules (capturing the causal interplay of atomic behaviour) and (ii) causal claims on the level of emergent phenomena (tracing population dynamics). In formulating a protocol for model validation and causal inference, we show how, although such macro-level phenomena cannot be subjected to direct causal tests qua intervention (as, e.g., formulated in interventionist causal theories), they possibly suggest further manipulation tests at the basic micro-level. We thereby elucidate the micro-macro-level interaction in systems biology.

Highlights

  • To this end we distinguish two types of causal claims inferred from a computer simulation: (i) causal claims as plain combinations of basic rules and (ii) causal claims on the level of emergent phenomena

  • By modelling and simulating the population-level behaviour resulting from causal interactions at the unit level, this methodology essentially differentiates itself from other available methods for causal inference

  • We present our protocol as a general, theoretical scheme which (i) visualizes the development and repeated refinement of a computer simulation, (ii) explicates the relation between different key 50 concepts in modelling and simulation, and (iii) facilitates tracing the epistemological dynamics of model validation

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Summary

Modelling and Simulation in Systems Biology

In systems biology, modelling is considered as a privileged instrument for knowledge integration and for the description/prediction/understanding of emergent behaviour. This revised model investigated the hypothesis that the interaction effect observed experimentally could be explained by the interaction of the intracellular mechanism for cell proliferation (represented by the ODE), with the rules for proliferation dictated by cell:cell contacts (represented by the ABM) ([19]) In this case did the simulation not reflect the experimental curves, but not even the simulation “treatment” and “control” growth curve showed any significant difference. This “educated” toy model reproduces the growth curves observed experimentally.5 In this iterative process, empirical knowledge puts constraints on the kinds of rules that the model is allowed to have (that is, progressively reduced the set of possible worlds), and the simulation results put further constraints on the kinds of explanatory hypotheses for the observed mismatch between target and source system (at the macro-level), which further reduced the theoretical space for the possible mechanisms at work (at the micro-level).

First Model
Second Model
From Formal Model to Stable Code When Margaret
Measurement by Simulation
Deletion
Causal Inference
Causal inference from emergent phenomena
Causal Inference from Modeling and Simulation
Rules Dictating Cell Behaviour
The Causal Structure Underpinning the Set of Rules
Modifications of the ABM component for the Second Model
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