Abstract

Cancer and healthy cells have distinct distributions of molecular properties and thus respond differently to drugs. Cancer drugs ideally kill cancer cells while limiting harm to healthy cells. However, the inherent variance among cells in both cancer and healthy cell populations increases the difficulty of selective drug action. Here we formalize a classification framework based on the idea that an ideal cancer drug should maximally discriminate between cancer and healthy cells. More specifically, this discrimination should be performed on the basis of measurable cell markers. We divide the problem into three parts which we explore with examples. First, molecular markers should discriminate cancer cells from healthy cells at the single-cell level. Second, the effects of drugs should be statistically predicted by these molecular markers. Third, drugs should be optimized for classification performance. We find that expression levels of a handful of genes suffice to discriminate well between individual cells in cancer and healthy tissue. We also find that gene expression predicts the efficacy of some cancer drugs, suggesting that these cancer drugs act as suboptimal classifiers using gene profiles. Finally, we formulate a framework that defines an optimal drug, and predicts drug cocktails that may target cancer more accurately than the individual drugs alone. Conceptualizing cancer drugs as solving a discrimination problem in the high-dimensional space of molecular markers promises to inform the design of new cancer drugs and drug cocktails.

Highlights

  • The central objective of treating cancer is to kill cancerous tissue while leaving healthy tissue intact

  • Because distinguishing between cancer and healthy cells requires taking into account the heterogeneity in each population, we have focused on markers for single cells rather than cell populations where possible

  • If cancer drugs act as classifiers that use measurable markers as input, we can use standard classification algorithms to explore the possibility of solving the cancer versus healthy cell classification problem

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Summary

Introduction

The central objective of treating cancer is to kill cancerous tissue while leaving healthy tissue intact. Optimal cancer treatment should be robust to biological variability such as tumor and healthy cell heterogeneity [1]. Combining these ideas, we can frame the cancer problem in a way that balances the potential overlap of healthy and cancer cell properties with the need to kill aggressive cancer cell variants (Fig. 1). While the need to separate cancer from healthy cells underlies current cancer treatment, to our knowledge it has not been mathematically formalized. Developing a mathematical framework opens the possibility of translating insights from computational science into new approaches for cancer treatment

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