A mathematical model to describe the dynamics of patent filing and inovation
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2022
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CONGRESSO BRASILEIRO DE ENGENHARIA E CIÊNCIA DOS MATERIAIS, 24.
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Resumo
For the area of ??technology and innovation management, it is of fundamental importance to
identify the level of maturity a given technology is. This information is of paramount importance for
making decisions regarding investments in research and development. The dynamics of the
number of patents deposited in a given technological scope allows us to infer at what stage this
field is. If it is possible to predict the future scenario through mathematical models, this
identification becomes more precise and therefore will improve the management of innovation and
intellectual property. The present work presents a proposal for a mathematical model that uses
concepts related to growth kinetics. Some technological fields linked to materials technologies are
presented as case studies. Specifically, an example in the area of ??metallic, polymeric and ceramic
materials will be analyzed and an analysis in the area of ??assisted manufacturing will be presented.
With this, the present work will not only present a proposal for a model from the area of ??
Materials Science applied in Innovation Management, but also presents some scenarios of
technological maturation in the respective technological area. Curves that reproduce the behavior
of the accumulated number of patents deposited in a given technological scope are obtained. The
sigmoidal behavior allows us to clearly establish which stage the technology is in and allows us to
predict how long this technology will be in a stage of maturity - important data for the decisions
already mentioned. This work presents the curve fittings that allow to exemplify the method
developed here and its applications in the area of ??Materials.
Como referenciar
POLITANO, R. A mathematical model to describe the dynamics of patent filing and inovation. In: CONGRESSO BRASILEIRO DE ENGENHARIA E CIÊNCIA DOS MATERIAIS, 24., 6-10 de novembro, 2022, Águas de Lindóia, SP. Resumo... Disponível em: http://repositorio.ipen.br/handle/123456789/33807. Acesso em: 30 Dec 2025.
Esta referência é gerada automaticamente de acordo com as normas do estilo IPEN/SP (ABNT NBR 6023) e recomenda-se uma verificação final e ajustes caso necessário.