
Patenting mathematics-based inventions: Navigating sufficiency and the inventive step squeeze
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Martin Neilson

Further to this article from Paul Andrews, here, I consider the recent European Patent Office Boards of Appeal decision T 1977/22 and offer some practice guidance on drafting patent claims in chemical sectors using open-ended parameter ranges.
Patent claims with parameter ranges are used frequently in a variety of chemical sectors, including cosmetics, metal alloys, composite materials, chemical processing/general chemical production, polymer materials, etc. A parameter range within an independent claim can be useful to establish novelty and/or inventive step: a material exhibiting a desired moisture absorbency, production of certain gas volumes from a chemical reaction, a particle with a desired surface area, a metal alloy with a desired hardness or toughness. Often, at the time of preparing and filing a patent application, R&D is not always a hundred percent complete, and there are often unanswered technical questions and unconfirmed performance limitations, e.g. absorbency, harness toughness etc. It is, therefore, part of the patent attorney toolbox to use open-ended parameter ranges to help ‘fill the gaps’ in these situations and avoid unnecessarily limiting patent protection.
According to Article 83 EPC (sufficiency), European patents should ‘disclose the invention in a manner sufficiently clear and complete for it to be carried out by a person skilled in the art.’ For numerical ranges, this requirement is typically interpreted as meaning that the skilled person must be able to reproduce the invention across the entire claimed range.
An open-ended range defines only one boundary and extends infinitely in one direction. The question for patentees and the EPO is do such ranges satisfy the requirement of reproducibility across the entire (infinite) scope?
T 1977/22 related to Rhodia Operations' patent EP 3086872, which was opposed by Neo Chemicals & Oxides (Europe) Ltd. The patent relates to a thermally stable inorganic composite oxide material comprising specific amounts of metal oxides. The invention proposed to solve the problem of thermal ageing in catalytic converters, where traditional materials lose their specific surface area and catalytic efficiency when exposed to high operating temperatures. By creating a composite oxide that maintained a high surface area even, the patentee aimed to provide improved catalysts with superior durability.
Claim 1, as granted (and on appeal), specified an inorganic composite oxide material comprising specific amounts of particular metal oxides. Importantly, claim 1 recited the material exhibited a surface area defined by one of three open-ranges:
The Opposition Division revoked the patent for insufficiency as there was no upper limit to the indicated surface area and in support of the Opponent that argued claim 1 was insufficient because it was impossible to reproduce the invention across the entire scope of these open-ended ranges. The Patentee argued in response that the patent provided detailed teachings in the examples that would enable a skilled person to manufacture the claimed material through routine trial and error.
The Board of Appeal proposed that, in order to satisfy the sufficiency requirement for open ranges, the patent should provide ‘teachings demonstrating that, by operating within the scope of specific (essential) structural and/or process features, the skilled person would be in a position to achieve multiple variants of the invention without undue effort i.e. embodiments with different parametric values falling within the open-ended range.’
Applying the Board of Appeal general principle, we now have two helpful situations as guidance.
Such claims may not be enabled unless the range is directly or indirectly limited by closing the range or by defining interrelated parameters imposing an upper boundary
These claims may be sufficiently disclosed if the teachings indicate that the skilled person could achieve different parametric values within the claimed range by making trivial adjustments within the scope of these features.
The following example cases may help crystallise how this works in practice.
Process features
T 2213/08 - absorbent powders with an absorbency range - Claim 1
Water-absorbent agent powders containing a carboxyl group and having surface regions crosslinked by a crosslinking agent having an epoxy group, characterised by comprising:
The open-ended range was reproducible over the whole scope, as it embraces values as high as achievable within the defined process features.
T487/89 – a fibre with ranges of tenacity, coefficient of stability, and toughness - Claim 1
Similarly, the open-ended range was reproducible over the whole scope, due to the defined process features.
Structural features
T 1977/22 – the above new decision - Claim 1
optionally up to 10 pbw of a combined amount of oxides of one or more dopants selected from transition metals, rare earths, and mixtures thereof,
and exhibiting a BET specific surface area:
• of greater than 150 m 2/g after calcining at 900°C for 2 hours; or
• of greater than 85 m 2/g after calcining at 1000°C for 4 hours; or
• of greater than 40 m 2/g after calcining at 1100°C for 5 hours.
The specification provided detailed disclosure of how to manufacture the claimed material. The examples in the patent related to two distinct composite oxides - its components and concentrations falling within the scope of claim 1, including the specified open-ended ranges. The evidence provided in the patent indicated that the components and concentrations of the metal oxides were the essential parameters for adjusting and enhancing the specific surface area. The claims defined the essential structural features (the metal oxide components and their amounts) required to achieve the surface area parameters, and the invention was reproducible over its entire scope.
T 1008/02 - an absorbent composite with an absorbance range - Claim 1
The sufficiency requirements of Article 83 EPC were not satisfied as the specification did not provide any indication (i.e., structural or process features) of how the claimed discrete particle superabsorbent material could achieve an absorbency under load ( AUL) of at least 27 ml/g.
T 1942/21 - syngas with a gas production volume range - Claim 1
The claim and the description did not define any structural or process features needed to achieve high methane volumes and claim 1 does not fulfil the sufficiency requirements.
So, it seems that for an invention that can be said to be restricted by structural or process features, an open-ended parameter range may still be a good strategy. On the other hand, if the main claim or the examples cannot provide any technical limitation for the parameter range in question then it may be wise avoiding these. Some take home drafting tips therefore may include:
1. If an opened-ended range is to be included, also include support for later limitation/capping of the undefined end
2. Ensure the appropriate technical questions are asked of the inventors – within the patent specification can we associate the open-ended parameter range to structural and/or process features?
3. If an open-ended range is to be included in claim 1 (due to unconfirmed technical data available at the time of drafting), then include alternative statements of invention that include the range capped at both ends
For expert advice on chemical-rated patent claims within the chemical sector, including metal alloys, cosmetics, composite materials, chemical processing and manufacture, please get in touch with Martin Neilson or the team at Murgitroyd.
Thank you to Managing IP for originally posting this article.
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About Martin Neilson

Murgitroyd is a leading intellectual property firm supporting innovative businesses across a wide range of sectors. From patents and trade marks to designs, copyright, and IP strategy, their expertise extends beyond legal protection to helping organisations maximise the value of their ideas. Working across industries such as life sciences, engineering, technology, and creative sectors, Murgitroyd combines technical insight with commercial understanding to deliver tailored, forward-thinking solutions.